1. The price of one kg grapes is 60p, find the total price of 30 kg grapes in pounds.

2. The price of one kg carrots is 35p, find the total price of 40-kg carrots in pounds.

3. The price of one kg grapes is 60p and the price of one kg bananas is 40p per kg, find the total price of 30 kg grapes and 40kg bananas in pounds.

4. The price of one kg oranges is 90p and the price of bananas is 30p per kg, find the total price of 30 kg oranges and 40kg bananas in pounds

Answers

Answer 1

Maths:

Round 1

1) Grapes cost £1.50 per kg and carrots cost £1.00 per kg. How much would it costs for 3kg of

grapes and half a kilogram of carrots? £5

2) Jenny decides to share her sweets between herself and her 3 friends. She has 212 green

sweets, 310 blue sweets and 502 yellow sweets. How many sweets will Jenny and her friends

get each? 256

3) Large chocolate bars come with 32 pieces. Medium chocolate bars come with 24 pieces.

Barry buys 8 large bars of chocolate and 6 medium bars. How many pieces of chocolate will he

have altogether? 400

4) A flower shop sells roses for £1.79, carnations for £1.25 and buttercups for £1.30. Holly

decides to buy 3 roses and a buttercup. How much does she spend? £6.67

5) Pencils come in packs of 12 and each pack costs £1.19. Mr Green needs to buy a pencil for

each of the 50 children in his class. How much will he spend on pencils? £5.95

Round 2

1) Mrs Orange decides to share her savings between her six grandchildren. She has £350 in

her savings tin and £1450 in her savings account. How much will each of her grandchildren get?

£300

2) Green lollipops come in packs of 5, yellow lollipops come in packs of 6 and blue lollipops

come in packs of 4. A school buys 32 packs of blue lollipops and 18 packs of green lollipops.

How many lollipops will they buy altogether? 218

3) The baker’s oven can bake 28 loaves of bread at a time. In a day, it can go through 30 full

bakes. How many loaves of bread would be baked after 1 week? 5880

4) Ms Purple sells cars for a living. In one day, she sells 2 blue cars (at £4500 each), 7 yellow

cars (at £6000 each) and 12 black cars (at £8000 each). How much money does she take in car

sales in that one day? £147,000

5) Coaches carry 58 people. A school decides to take its 300 pupils and 38 staff on a visit to the

beach. A single coach costs £128. How much will the total cost of the coaches come to? £768

Topic:

Fruit Veg

Quince

raspberry

Lettuce

garlic

tomato

strawberry

grape

pumpkin

blackberries

nashi

kiwi

chilli

pear

passion fruit

cantaloupe

fig

eggplant/aubergine

cucumber

lemon

peach

lime

watermelon

pineapple

Zucchini/courgette

grapefruit

persimmons

mango

plum

cauliflower

Broccoli

Leeks

Fennel

Carrots

Coriander

Silverbeet

Snow peas

Beans

Celery

Beetroot

Peas

Artichoke

Sweet potato


Related Questions

Ahmad and Dante wash cars in the neighborhood and charge $5 per car. Last year, they worked very hard and were able to wash 450 cars in the year. They have done a little market research and found that for every $0.20 that the price is reduced, they can get 50 more customers.

1. b. If they decreased the price by $0.20 how much would they earn?

Answers

The amount earned if they decreased the price by $0.20 will be $2400.

How to calculate the value?

From the information, they found that for every $0.20 that the price is reduced, they can get 50 more customers.

The amount earned if they decreased the price by $0.20 will be:

= ($5 - $0.20) × (450 + 50)

= $4.80 × 500

= $2400

Therefore, the amount is $2400.

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The empire state building in new york city is about 1,450 feet high (including the antenna at the top) and 400 feet wide. Andre wants to make a scale drawing of the front view of the empire state building on an 8 1/2 inch by 11 inch piece of paper. select a scale that you think is the most appropriate for the scale drawing.
A. 1 inch to 1 foot
B. 1 inch to 100 feet
C. 1 inch to 1 mile
D. 1 centimeter to 1 meter
E. 1 centimeter to 50 meters
F. 1 centimeter to 1 kilometer

Answers

The scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters. (Correct choice: E)

What scale factor is the most appropriate to make an scale drawing of the Emipre State Building?

Scale factor are useful resources to make representations of huge and diminute representations of entire systems based on the application of length ratios defined below:

d / d' = r            (1)

Where:

r - Length ratio, in feet per inchd - Real length, in feetd' - Scale length, in inches

Now we find the minimum reduction scale to fit the building in the paper.

Width

r' = 400 ft / 8.5 in

r' = 47.058 ft / in

Height

r' = 1,450 ft / 11 in

r' = 131.819 ft / in

The minimum reduction scale to fit the building in the paper is 131.819 ft / in (approx. 15.818 m / cm, that is 1 centimeter to 15.818 meters), that is, 1 centimeter to 131.819 feet. Then, the scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters.

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HELP ME OUT PLEASE I NEED BETTER GRADES

Answers

Hope this helped :)
Check the image below for working

Answer:

person above me is right pls give them brainliest!!!

Step-by-step explanation:

the sum of 4 times a number and 9 is equal to 6

use the variable y for the unknown number​

Answers

Answer:

-3/4

Step-by-step explanation:

4y + 9 = 6

4y = 6-9 = -3

y = -3/4

11) What two numbers will √5 be between on a number line?

a) 2.01 and 2.24
62.0 and 3.25
2.1 and 2.156
d) 1.9 and 2.0

Answers

Answer:a

Step-by-step explanation:

it is 2.2360679775 which is in between 2.01 and 2.24

Answer: a. between 2.01 and 2.24

Step-by-step explanation:

√4=2

√9=3

9-4=5

5-4=1

1/5=0.2

√5=

√(4+1)=

√4+0.2=

2+0.2=2.2 ==> between 2.01 and 2.24: a

the perimeter of a square to be 37 meters. Find the length of one side.

Answers

Answer:

9.25 Meters

Step-by-step explanation:

a square has 4 sides so:

37 divided by 4= 9.25 or 9 1/4

The ratio of stars to circles is 3 to 2. If
there are 28 circles, then how many stars are there?

Answers

Answer:

42

Step-by-step explanation:

3 to 2 can be represented as 3/2. Remember the numerator represents stars while the denominator represents circles. Set up a proportion the criss multiply. This ratio would be 3/2 = x/28. First multiply 28 x 3 and set it equal to 2x. This gives you 84=2x. Divide 2 by each side and you will get 42 stars.

Help please! I need this urgently

Answers

Answer: step-by-step

Step-by-step explanation:

first one is paralell

second one is perpindicular

third one is neither

lmk if wrong, good luck!

Ms. Red lost money on an investment at a rate of $7 per day. Describe the change in her investment after one week.

Answers

The computation shows that the amount lost in a week is $49.

How to calculate the change?

From the information, Red lost money on an investment at a rate of $7 per day.

It should be noted that there are 7 days in a week. Therefore, the amount lost will be:

= $7 × 7

= $49

The amount lost is $49.

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Order the following rational and irrational numbers from least to greatest.

square root of 20, -2 3/5, 10/3,3.9, 3 7/5

Answers

The order of the number from the least to the greatest is -2 3/5, 10/3,3.9, 3 7/5, 20.

What are the order of the numbers?

A rational number is a number that can be expressed as the fraction of two numbers in which the decimal is not zero. A rational number can be positive or negative. An example of a rational number is 3, -1.2.

An irrational number is a number that cannot be expressed as the fraction of two numbers. An example of a irrational number is 1/3, 22/7.

In order to order a number, all the numbers should have the same form. Thus, all the numbers would be converted to decimals where possible.

-2 3/5 = -2.6

10 /3 = 3.33

3 7/5 = 4.5

In order to order the numbers, note that the farther a negative number is from zero the smaller the number is and the farther a positive number is to zero, the greater the number is.

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An image shows two right triangles A B C and D E F. Triangle A B C: Side A B is 3. Side B C is 5. Side C A is 4. Triangle D E F: Side D E is 6. Side E F is 10. Side F D is 8. Which statement about the two triangles is correct? ~ because You cannot tell if the triangles are similar because the angles are not given. is not similar to , because , while . is congruent to

Answers

If the ratio of the sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles. Then the correct option is B.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

A picture shows triangle ABC and triangle DEF.

Triangle ABC: Side AB is 3, Side BC is 5, and Side CA is 4.

Triangle DEF: Side DE is 6, Side EF is 10, and Side FD is 8.

The ratio of the sides of the triangles ΔABC and ΔDEF will be given below.

AB/DE=BC/EF=CA/FD

3/6=5/10=4/8=1/2

If the ratio of the sides of the triangles ΔABC and ΔDEF are equal then the triangles are similar triangles.

The diagram is shown below.

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Two right triangles—A B C and D E F. The triangles ΔABC and ΔDEF are comparable triangles if the ratio of their sides is the same.

Given that,

Two right triangles—A B C and D E F. Triangle A B C has a side of 3, a side of 5, and a side of 4.

Triangle D E F: sides D and E , side E and F and side F and each 6, 10, and 8.

Because the angles are not provided, making it impossible to determine whether the triangles are identical is not comparable to.

We have to find which of the two triangles' respective claims is true.

Describe the triangle.

The polygonal shape known as a triangle has three sides and three angles. The sum of the triangle's angles is 180 degrees.

Triangle ABC and triangle DEF are depicted in an image.

Triangle ABC has sides AB at 3, BC at 5, and CA at 4.

Triangle DEF has sides.

Sides DE at 6; EF at 10; and FD at 8.

The triangles ΔABC and ΔDEF side ratio will be provided below.

AB/DE=BC/EF=CA/FD

3/6=5/10=4/8=1/2

Therefore, The triangles ΔABC and ΔDEF are comparable triangles if the ratio of their sides is the same.

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Tripling the radius of a cylinder find the dimensions, surface area, before change and after change. Help ASAP please !

Answers

The dimensions before tripling the radius of the cylinder are:

radius = 2 and height = 7 yd

and surface area = 113.1

The dimensions after tripling the radius of the cylinder are:

radius = 6 and height = 7 yd

surface area = 490.08

Given, we know that the dimensions are:

radius = 2 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π2×7 + 2π(2)²

= 2×22/7×14 + 2π×4

= 88 + 25.12

= 113.1

After tripling the radius, we get:

radius = 6 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π6×7 + 2π(6)²

= 2×22/7×42 + 2π×36

= 264 + 226.08

= 490.08

Hence we get the before and after dimensions of the cylinder.

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what is the y intercept in 5x -2y

Answers

Answer:

0

Step-by-step explanation:

y intercept means that the x is 0, so we make the equation like this:

-2y = -5x
-2y = -5(0)

y = 0/-2

y = 0

If the product of a number and -7 is subtracted from the number the result is 6 more than a number , what is the equation writte

Answers

The number is -6/7 and the equation is x-7*x=x+6.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be x.

We have to find the number.

According to given question we have

If the product of a number and -7 is subtracted from the number the result is 6 more than a number

product of a number and -7 =-7*x

subtracted from the number=x-7*x

6 more than a number=x+6

i.e

x-7*x=x+6

compare the like terms we have,

x-7*x=x+6

Subtract x from both sides we get ,

-7x=6

x=-6/7

Therefore, the number is -6/7 and the equation is x-7*x=x+6.

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50 points! with brainlyiest to first person!

given f(x)=3(4-x) what's the value of f(-4)

Answers

Answer:

f(-4) = 24

Step-by-step explanation:

f(x) = 3(4-x)

( substitute )

f(-4) = 3 x ( 4- (-4))

( calculate )

f(-4)= 24

Given: f(x)
=
x - 2
x+8

Answers

Answer:

f×=×-2×+8=10×f=20xf=30×f

In order for a computer to work properly it needs a memory disk of at least
4 GB. Memory disks can fluctuate 0.2 GB. What is the smallest amount of
storage a memory disk has?
4.2 GB
2.3 GB
3.8 GB
4 GB

Answers

The smallest amount of storage a memory disk is 3.8 GB. The correct option is C.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that for a computer to work properly it needs a memory disk of at least 4 GB. Memory disks can fluctuate 0.2 GB. Therefore, the smallest amount of storage a memory disk has is,

Smallest amount of storage a memory disk have = 4 GB - 0.2 GB

                                                                                 = 3.8 GB

Hence, the smallest amount of storage a memory disk is 3.8 GB.

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I don’t understand this question

Answers

Answer:

f(-4) = - 64

f(3)  = - 15

f(-a) =  - 3a² - 4a

-f(a) =  3a² - 4a

f(a + h) = - 3a²  - 6ah - 3h² + 4a + 4h

Pay careful attention that you do not miss the negative signs in some of these terms

Step-by-step explanation:

The function is f(x) = -3x² + 4x

To evaluate the function at any value of x, simply substitute for x in the function expression

f(-4)
= -3(-4)² + 4(-4) = -3 x 16 - 16 = -48-16 = - 64 since (-4)² = 16
So f(-4) = - 64

f(3) = -3(3)² + 4(3) = -3 x 9 + 12 = -27 + 12 = - 15
So f(3) = - 15
f(-a) = -3(-a)² + 4(-a) = - 3a² - 4a
So f(-a) = - 3a² - 4a
-f(a)
To find -f(a) , first compute f(a) = -3(a)² + 4(a) = - 3a² + 4a, then add a negative sign in front and expand the brackets:
-f(a) = - (- 3a² + 4a) = + 3a² -  4a = 3a² - 4a
So -f(a) = 3a² - 4a

f(a + h)
= - 3(a + h)² + 4(a + h)

(a + h)² = a² + 2ah + h²  
done by applying perfect squares formula where (a + b)² = a² + 2ab + b² except instead of b we are using h

f(a + h) = - 3(a + h)² + 4(a + h)
= - 3(a² + 2ah + h² ) + 4(a + h)

Expanding the brackets,
= - 3a²  - 3(2ah) - 3h² + 4a + 4h
= - 3a²  - 6ah - 3h² + 4a + 4h
So f(a + h ) = - 3a²  - 6ah - 3h² + 4a + 4h


Nick buys a bag of cookies that contains 9 chocolate chip cookies, 6 peanut butter cookies, 7 sugar cookies and 7 oatmeal cookies. What is the probability that Nick randomly selects a sugar cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you answer as a reduced fraction.

Answers

Answer:  2/29

Step-by-step explanation: because he has 29 cookies in total therefor if he just randomly picks a cookie from the bag this would be 2/29 as he randomly chose 2 cookies out of 29 total cookie. we have no idea what he could have chose and all the cookies are mixed in a bag.

Answer:  9/116

================================================

Explanation:

There are 7 sugar cookies

This is out of 9+6+7+7 = 29 total cookies

The probability of getting a sugar cookie is 7/29

After that cookie is selected, the total drops to 29-1 = 28 cookies. The probability of getting a chocolate chip on the second selection is 9/28

Multiply the fractions mentioned to get the final answer

(7/29)*(9/28) = (7*9)/(29*28) = (7*9)/(29*7*4) = 9/(29*4) = 9/116

Find the smallest number by which 80 is multiplied to make it a perfect square?

Answers

Step-by-step explanation:

2*40=80

so, the smallest of 80 is 2

Step-by-step explanation:

question: find the smallest number by which 80 is multiplied to make a perfect square.

80 x 6 = 400

the square root of 400 = 20

therefore 6 is the smallest number that multiplies by 80 to give a perfect square.

For the piecewise​ function, find the values ​h(​-8), ​h(1​), ​h(3​), and ​h(8​).

Answers

The output values of ​ ​h(​-8), ​h(1​), ​h(3​), and ​h(8​) in the given piecewise function are 16, 3, 11 and 16 respectively.

What are the output values of h(​-8), ​h(1​), h(3) and ​h(8​) in the given piecewise function?

Given the piecewise function in the question;

                    -4x - 16, for x < -7

h(x) = {  3,          for -7 ≤ x < 3

                     x + 8,   for x ≥ 3

h(​-8) = ?​h(1​) = ? h(3) = ?h(8​) = ?

Determine the output value of h(-8), -8 falls in the domain of x < 7,

Hence;

h(x) = -4x - 16

h(-8) = -4(-8) - 16

h(-8) = 32 - 16

h(-8) = 16

Determine the output value of h(1), 1 falls in the domain of -7 ≤ x < 3,

Hence;

h(x) = 3

h(1) = 3

Determine the output value of h(3), 3 falls in the domain of x ≥ 3,

Hence;

h(x) = x + 8

h(3) = 3 + 8

h(3) = 11

Determine the output value of h(8), 8 falls in the domain of x ≥ 3,

Hence;

h(x) = x + 8

h(8) = 8 + 8

h(8) = 16

Therefore the output values of ​ ​h(​-8), ​h(1​), ​h(3​), and ​h(8​) in the given piecewise function are 16, 3, 11 and 16 respectively.

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9n - 50 = 4, what does n equal?

Answers

To solve this, we can begin by rewriting the equation:

9n - 50 = 4

Let’s eliminate 50 on both sides of the equation to make this simpler:

9n - 50 + 50 = 4 + 50

9n = 54

Now, let’s divide both sides by the coefficient (9):

9n ÷ 9 = n

54 ÷ 9 = 6

n = 6

Let’s verify our answer by plugging 6 in for the variable:

9(6) - 50 = 4

54 - 50 = 4

Because this equation is true, we have our answer.

Hence, n = 6.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{9n - 50 = 4}[/tex]

[tex]\large\text{Add 50 to both sides:}[/tex]

[tex]\mathsf{9n - 50 + 50= 4 + 50}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\mathsf{9n = 4 + 50}[/tex]

[tex]\mathsf{9n = 54}[/tex]

[tex]\large\text{Divide 9 to both sides:}[/tex]

[tex]\mathsf{\dfrac{9n}{9} = \dfrac{54}{9}}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\mathsf{n = \dfrac{54}{9}}[/tex]

[tex]\mathsf{n = 6}[/tex]


[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{n = 6}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

17. Higher Order Thinking The average rate
that human hair grows is 1.27 centimeters
per month. Elena let her hair grow for
3 months. Then she got 1.9 centimeters of
her hair cut off. If Elena's hair grows at the
average rate, how much longer is Elena's
hair now than 3 months ago? Explain how
to solve the problem. Then solve.

Answers

Elena's hair has grown in length overall net by. 1.81cm

It is given to us that the average rate at which  human hair grows is 1.27 centimeters per month.

Elena allowed her hair to grow for three months, so that's a given. Then she had her hair chopped short by 1.9 cm.

Elena's hair naturally grows at a typical rate.

First, we'll figure out how much Elena's hair has grown in three months, and then from that figure, we'll deduct the length that has been trimmed.

Elena's hair grew 3.x*1.27=3.81 cm in three months.

The amount of hair that was removed was 1.9 cm.

Elena's hair has grown in length by 3.81 cm over the course of three months, minus the length that has been chopped, for a total net growth of 1.91 cm.

Growth in 3 months less the length that was removed is 3.81 – 1.9 = 1.91 cm

Hence, the total net growth of Elena's hair is 1.81cm

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Determine the number of solutions of this equation.
2(x-1)=3(x-4)

Infinitely many solutions
One solution
No solutions

Answers

Answer:

One solution.

Step-by-step explanation:

2(x-1)=3(x-4)

2x - 2 = 3x - 12

-2 + 12 = 3x - 2x

10 = x.

PLS HELP PLS i WILL GIVE YOU 20 POINT PLEASE HELP.

Answers

1. The inequality that represents the graph is x ≥ 8

2. The inequality that represents the graph is x < 3

3. The inequality that represents the graph is x ≤ 3

4. x ≤ 8

5. x < 8

6. x ≥ 3

Writing Inequalities

From the question, we are to determine the inequalities that represent the given graphs

1. The inequality that represents the graph is x ≥ 8

2. The inequality that represents the graph is x < 3

3. The inequality that represents the graph is x ≤ 3

4. "Shaun refuse to read for more than 8 minutes"

Let x represent the number of minute she reads

Thus,

x ≤ 8

5. "Jade says she has less than eight cats"

Let x represent the number of cats Jade has

∴ x < 8

6. "Davon runs at least 3 miles everyday after school"

Let the number of miles Devon runs be x

Then, we can write that

x ≥ 3

Hence,

1. The inequality that represents the graph is x ≥ 8

2. The inequality that represents the graph is x < 3

3. The inequality that represents the graph is x ≤ 3

4. x ≤ 8

5. x < 8

6. x ≥ 3

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Indicate the equation of the given line in standard form. The line that is the perpendicular bisector of the segment whose endpoints are R(-1, 6) and S(5, 5)

Answers

The line that is the perpendicular bisector of the segment is 12x - 2y= 13

How to determine the line that is the perpendicular bisector of the segment?

The endpoints of the segment are

R(-1, 6) and S(5, 5)

Calculate the midpoint of the above segment using

RS = 1/2 * (x1 + x2, y1 + y2)

So, we have

RS = 1/2 * (-1 + 5, 6 + 5)

This gives

RS = (2, 5.5)

Calculate the slope of the segment using

Slope RS = (y1 - y2)/(x1 - x2)

So, we have

Slope RS = (5 - 6)/(5 + 1)

This gives

Slope RS = -1/6

The slopes of perpendicular lines are opposite reciprocal

This means that the slope of the perpendicular bisector is

m = -1/Slope RS

So, we have

m = -1(-1/6)

Evaluate

m = 6

The line that is the perpendicular bisector of the segment is calculated as

y = m(x - x1) + y1

Where

(x1, y1) = Midpoint RS = (2, 5.5)

So, we have

y = 6(x - 2) + 5.5

Evaluate

y = 6x - 12 + 5.5

y = 6x - 6.5

Multiply through by 2

2y = 12x - 13

Rewrite as

12x - 2y= 13

Hence, the line that is the perpendicular bisector of the segment is 12x - 2y= 13

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t the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $2.10 and the cost of a large greeting card is $4.15. How much would it cost to get 2 small greeting cards and 3 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?

Answers

The Total cost of 2 small and 3 large greeting cards is $16.65.

The Total cost of x small and y large greeting cards is $2.10x+$4.15y.

Given

Cost of the small greeting card =$2.10.

Cost of the large greeting card =$4.15.

We have to find the Total cost of 2 small and 3 large greeting cards and the total cost of x small and y large greeting cards.

First, we will find the Total cost of 2 small and 3 large greeting cards

Cost of 3 small greeting cards=2[tex]\times\\[/tex]2.10 =$4.2

Cost of 4 large greeting cards=3[tex]\times[/tex]4.15=$12.45

Total cost=$4.2+$12.45=$16.65

Therefore, the Total cost of 2 small and 3 large greeting cards is $16.65.

Now, the total cost of x small and y large greeting cards

Cost of x small greeting cards=x[tex]\times\\[/tex]2.10 =$2.10x

Cost of y large greeting cards=y[tex]\times[/tex]4.15=$4.15y

Total cost=$2.10x+$4.15y

Therefore, the Total cost of x small and y large greeting cards is $2.10x+$4.15y.

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Total cost, 2 small greeting cards and 3 large greeting cards: 16.65

Total cost, x small greeting cards and y large greeting cards: 2.10x+4.15y

A baseball team has home games on Friday and Sunday. The two
games together earn $3546.00 for the team. Friday's game
generates $374.00 less than Sunday's game. How much money
was taken in at each game?

Answers

The money earned on friday is $1586 and on sunday is $1960.

What is meant by linear equation in one variable?

A linear equation in one variable is an equation that has only one solution and is expressed in the form ax+b = 0, where a and b are two integers and x is a variable.

Let us assume the money generated by Friday game is 'F'.

Let us assume the money generated by Sunday game 'S'.

The two games together earn $3546.00 for the team.

Equation will become;

F + S = 3546.00    ........(equation 1)

Friday's game generates $374.00 less than Sunday's game. Thus,

F = S - 374.00

Since, F = S - 456.50 use the substitution method and put this value in equation 1.

(S - 374.00) + S = 3546.00

Simplifying the equation;

2S  = 3546.00 + 374.00

2S = 3920

S = 1960.

Put this value in equation 1 and find F.

F + S = 3546.00

F + 1960 = 3546.00

F = 1586.

Thus, the money generated on friday is $1586 and on sunday is $1960.

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9 Continuously compounded interest: word problems 82J
Learn with an example
Gigi opened a savings account and deposited $600.00 as principal. The account earns 3%
interest, compounded continuously. What is the balance after 2 years?
Use the formula A = Pe", where A is the balance (final amount), P is the principal (starting
amount), e is the base of natural logarithms (~2.718 28), r is the interest rate expressed as
a decimal, and t is the time in years.
Round your answer to the nearest cent.
$
Submit

Answers

The final amount in Gigi's amount after two years is $637.102.

Compound interest is also known as interest on principal and interest is the practice of adding interest to the principal amount of a loan or deposit.

Gigi opened a savings account.

The principal amount she deposited, P = $600

The interest rate, r = 3% = ( 3 / 100 ) = 0.03

The formula for the compound interest is given as:

[tex]A=Pe^{rt}[/tex]

Where A is the final amount, P is the principal amount, r is the interest rate, and t is the time in years.

Then the amount in the account after t = 2 years will be:

[tex]A=Pe^{rt}\\A = 600 \times e^{(0.03 \times 2)}[/tex]

A = 600 × e⁰·⁰⁶

A = 600 × 1.06183654655

A = 637.101927927

A = $637.102

Therefore, the final amount in the account is $637.102.

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MOWING Cordell is mowing his front lawn. His mailbox is on the edge of the lawn. Cordell starts mowing near the mailbox and moves away from the mailbox, towards his house. He continues to move back and forth between the edge of the lawn and the house. Select a reasonable graph that shows the distance Cordell is from the mailbox as he mows. Let the horizontal axis show the time and the vertical axis show the distance from the mailbox.

Answers

The graph of the distance that Cordell moves between the home and the mailbox  and time period will be a repeating graph.

Let us assume that the distance between the lawn and the mailbox of Cordell is L.

He starts moving from his home towards the mailbox. After reaching the mailbox, he returns back to the home. Let say the time when he first returns back to his home is T₁.

The graph will show that the value of distance will first increase till L and after that he will come back to his home and the distance will decrease and become zero and the time period will be T₁. This show that he had return back to his home.

Similarly, the time well he again starts from his home and reaches till the mailbox and then again reaches to his home again is T₂. The graph is again plotted in the same manner as it was done in the first case.

It is because the distance L between mailbox and his home is same.

So, we can conclude that the graph will be a repeating graph. The shape of graph will be Saw-tooth like shape.

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