Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05." Write a system of equations to describe the relationships between the quantities in Kiran's statement. Let x represent red lentils and let y represent yellow lentils.

Answers

Answer 1

Answer:

The system of equations is given as:

x + y = 2.5 .... Equation 1

1.8x + 1.8y = 4.05....Equation 2

Step-by-step explanation:

Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05

Let

x represent red lentils

y represent yellow lentils.

x + y = 2.5 .... Equation 1

x = 2.5 - y

$1.80 × x + $1.80 × y = $4.05

1.80x + 1.80y = 4.05....Equation 2

The system of equations is given as:

x + y = 2.5 .... Equation 1

1.8x + 1.8y = 4.05....Equation 2


Related Questions

If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

A. {(0, 3), (1, 6), (2, 9)}
B. {(3, 0), (6, 1), (9, 2)}
C. {(1, 3), (2, 6), (3, 9)}
D. {(3, 1), (6, 2), (9, 3)}

Answers

Answer:

A. {(0, 3), (1, 6), (2, 9)}

Step-by-step explanation:

All you have to do is substitute them

A.

y − 3 = 3x

3 - 3 = 3 (0)

0 = 0

y − 3 = 3x

6 - 3 = 3 (1)

3 = 3

y - 3 = 3x

9 - 3 = 3 (2)

6 = 6

__________________________________________________________

B.

y - 3 = 3x

0 - 3 = 3(3)

-3 = 6

You can tell that this one can't be one of the answer which means that B wont be the answer, so you don't have to do anymore work for this one.

__________________________________________________________

C.

y - 3 = 3x

3 - 3 = 3(1)

0 = 3

This one can't be an answer either

__________________________________________________________

D.

y - 3 = 3x

1 - 3 = 3(1)

-2 = 3

And this one can't be an answer either

__________________________________________________________

This concludes, that A will be the answer here since all of the ordered pair can be x and y when you use the inputs and outputs that were given.

Hope this helped!

if 2x°,3x°, (2x°+10°) and x°+30° are the size of angles of a quardilateral, find them.​

Answers

Answer:

40 degrees

Step-by-step explanation:

2x + 3x + 2x + x + 10 + 30 = 360

Combine like terms

8x + 40 = 360

8x = 360 - 40

8x = 320

x = 320/8

x = 40

40 degrees

Please Rate and Mark as Brainliest!

2х+3= -6x -29

how do i solve this?

Answers

Answer:

x= -4

Step-by-step explanation:

I hope this helps, have a great day/night :) !

Answer:

x = -4

Step-by-step explanation:

2x + 3 = -6x - 29

2x + 6x = -3 - 29

8x = -32

x = -32/8

x = -4

Hope this helps :D

PLEASEEE HELP!!!! WILL GIVE BRAINLEST
SHOW ur work!

Answers

Answer:

The answer is 16.

Step-by-step explanation:

When you calculate the ratio of 42:28, you would get 3:2. divide 24 by 3, and you get 8. Then multiply 2 by 8 you get 16.

(2 + 1/2) = (1 + 2/3) / y

Answers

Answer: y= 0.64 is the answer

Keri has two pencils. Her yellow pencil measures 1/4 of a foot, and her green pencil measures 2/3 of a foot. How much shorter is Keri's yellow pencil than her green pencil?

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} - \frac{1}{4}[/tex]

Common Denominator:

[tex]\frac{8}{12} - \frac{3}{12}[/tex]

Subtract the numerator, the denominator stays the same.

[tex]\frac{5}{12}[/tex]

A problem contains the points (0,0),(1,-2) and (-1,-4). What is the equation of this parabola in standard form?

Answers

Answer:

The general equation of the parabola     y = -3 x² + x

Step-by-step explanation:

Step(i):-

Given points are (0,0) , (1, -2) and ( -1 , -4 )

Given the standard parabola

                                y = ax²+ b x + c ...(i)

Passing through the point (0,0)

                              c = 0

Passing through the point (1,-2)

                            -2 = a(1) +b(1)

                   a + b = -2 ...(ii)

Passing through the point (-1, -4)

                        - 4 = a - b

               a - b = -4 ...(iii)

Step(ii):-

Adding (ii) and (iii) equations , we get

            2 a = -6

              a = - 3

substitute   a = - 3 in equation (ii)

       -3 + b =-2

             b = -2 + 3 = 1

Final answer:-

The general equation of the parabola

              y = ax²+ b x + c

             y = -3 x² + x + 0

             y = -3 x² + x

If 18 apples are to be packed 6 to a bag, then how many bags are needed?

Answers

Answer:

3

Step-by-step explanation:

18 divided by 6 is 3, im not very good at explaining-

Help me please ASAP PLEASE BRAINLIEST ANSWER

Answers

Answer:

the answer is d im srry if im wrong

Step-by-step explanation: they all are going upwards brainliest plss

Answer:

hello this is my other account so yea i hope your happy with your brainliest im about to give you

Step-by-step explanation:

Given f(x)=3x−2, find f(−5).

Answers

Step-by-step explanation:

f(x)=3x-2

f(-5) means that x equals -5

All you would need to do is substitute -5 into the equation

3(-5) - 2

-15-2

-17

f(-5) is -17

Answer:

-17

Step-by-step explanation:

f(-5) means plug -5 for x

thus f(-5) = 3(-5) -2 = -17

Which expression is equivalent to 4 (2p+4q)?
A 4p + 169
B 8p + 49
2p+ (3p + 169)
None of the above

Answers

Answer:

None of the above.........

Select the correct answer from each drop-down menu.

In this graph, the y-intercept of the line is . The equation of the line is y = x .

Answers

Answer:

The y-intercept is -2 and the equation is y=x-2

Step-by-step explanation:

-That's where the line crosses the y axis.

-The equation is y= x -2 because it has a rise/run of 1/1 which is just 1 and the y intercept is -2

( I'm so sorry I totally missed the second part of the question lol)

Answer:

Step-by-step explanation:

1) Working alone, Ryan can dig a 10 ft by 10 ft
hole in five hours. Castel can dig the same
hole in six hours. How long would it take
them if they worked together?

Answers

Step-by-step explanation:

(Ryan+ castel)/2

(5+6)/2

11/2

5.5 hrs or 5½ hrs

Help plz I need to fin before today help

Answers

Answer:

BD = 12.1 (nearest tenth)

Step-by-step explanation:

∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.

BD divides ∆ABC into two equal parts.

Apply trigonometric ratio to find BD.

Reference angle = <BAD = 60°

Adjacent = AD = 7

Opposite = BD

Thus, we would have:

tan 60 = opp/adj

Tan 60 = BD/7

7*Tan 60 = BD

12.1 = BD

BD = 12.1 (nearest tenth)

Which expression shows 20% of 60?
a) 1/4 • 60
b) 1/20 • 60
c) 1/5 • 60
d) 1/50 • 60

Answers

Answer:

C | 1/5

Step-by-step explanation:

There are 5 20s in 100. Meaning if you only have one 20, it'd be 1/5.

Answer:

C: 1/5 · 60

Step-by-step explanation:

I got it right on I-ready.

Hope this helps!

From: Aug1e

3
2 X-3
5
S
[tex]2( \frac{x - 3}{5} ) = x - \frac{3}{5} [/tex]

Answers

Answer:

x=-1

Step-by-step explanation:

Given,

[tex]2(\dfrac{x-3}{5})=x-\dfrac{3}{5}[/tex]

To Find : x

[tex]\dfrac{2(x-3)}{5}=x-\dfrac{3}{5}[/tex]

[tex]\dfrac{2x-6}{5}=x-\dfrac{3}{5}[/tex]

[tex]\dfrac{2x}{5}-\dfrac{6}{5}=x-\dfrac{3}{5}[/tex]

[tex]\dfrac{2x}{5}-x = \dfrac{6}{5}-\dfrac{3}{5}[/tex]

[tex]\dfrac{2x-5x}{5} = \dfrac{6-3}{5}[/tex]

[tex]\dfrac{-3x}{5} = \dfrac{3}{5}[/tex]

[tex]x = -1[/tex]

Hence, the value of x is -1.

2. What is the largest decimal in hundredths rounded to 0.5?

3. One centimeter is equivalent to about 0.3937 inch. Round off the given equivalent to the nearest hundredths.

4. Mrs. Edlagan has a total deposit of Php 50 766.25. The annual interest at 3% simple interest is Php 1 522.9875. Round the interest off to the
nearest hundredths and thousandths.​

Answers

Answer:

In mY Knowledge

answer of 2) 0.49

3) 0.39

4) 50 766.20 and 1 522.9878

hope it helps :D

am I too late to answer this!?

The given numbers can be rounded off by using the rules of rounding off to the nearest hundredths and rounding off to the nearest thousandths.

Rules for rounding off to the nearest hundredths are:

Rule 1 - In rounding off to the nearest hundred, the digit at tens place is in between 0 to 4 then replace that digit by 0.

Rule 2 - In rounding off to the nearest hundred, the digit at units place is replaced tens place digit by 0 if the digit is greater than or equal to 5 and hundreds place digit is increased by 1.

Rules for rounding off to nearest thousandths:

Rule 1 - In rounding off to nearest thousandths, if the digit at hundreds place is in between 0 to 4 then it is replaced by 0.

Rule 2 - In rounding off to the nearest thousandths, if the digit at hundreds place is greater than or equal to 5 then increase it by 1.

2). The largest decimal in hundredths rounded to 0.5 is 0.49.

3). One centimeter is equivalent to about 0.3937 inches. So, the given equivalent rounding to the nearest hundredths is 0.39.

4). The number 50766.25 rounded to the nearest hundreds is 50766.20 and the number 1522.9875 rounded to the nearest thousandths is  1522.9878.

For more information, refer to the link given below:

https://brainly.com/question/2096984

Alazari rode her bike to school
then the hospital and back home.
If she lives 70 meters from school
and 60 meters to the hospital, how
far did she travel in all?
-

Answers

260meters because 70+70=140 and 60+60=120 which is 140+120=260
This answer applies to the question only if the 3 locations are collinear, if they are not I don’t believe that there is a possible solution for the problem

35 POINTS.!!!!! PLEASE HELP MEEEEEEE.!!!!!
Select the correct shapes.
Select the shapes that are similar to shape A.

Answers

The pink shape is the shape that is the exact shape.I'm pretty sure the purple and blue shape are smaller points of the shape though.

Pls help and show workings

Answers

Answer:

x = 30

Step-by-step explanation:

Since RQ bisects ∠ PRS, then

∠ SRQ = ∠ PRQ , substitute values

3x - 20 = x + 40 ( subtract x from both sides )

2x - 20 = 40 ( add 20 to both sides )

2x = 60 ( divide both sides by 2 )

x = 30

Pweeze help and I will give brainliest

Answers

Answer:

Part A) plot 1 and -2.5.

B) The opposite of 2 is -2. The only number that has its own opposite is 0. The first statement is false.

The opposite of 1.5 is -1.5, so the opposite of the opposite of 1.5 is equal to the opposite of -1.5, which is 1.5. The second statement is true.

Hope this helps sorry for not answering earlier

What is the ratio of the average number of catfish to the average number of all fish in the samples?


1:4
3:10
2:5
6.33:20

Answers

I think it’s 2:5 or 3:10

La floristería de Rosalina vende rosas por docenas. El viernes Rosalina recibió un pedido de 21 docenas de rosas. ¿Cuántas rosas necesita Rosalina para cumplir el pedido? A 144 rosas B 212 rosas C 252 rosas D 262 rosas​

Answers

Rosalina's florist sells roses by the dozen. On Friday Rosalina received an order for 21 dozen roses. How many roses does Rosalina need to fulfill the order? A 144 roses B 212 roses C 252 roses D 262 roses

Given that,

Rosalina received an order for 21 dozen roses

To find,

Number of roses.

Solution,

We know that,

1 Dozen = 12 items

We need to find number of roses in 21 dozen roses.

21 dozen = 21 × 12

= 252 roses

Hence, 252 roses Rosalina need to fulfill the order

Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to
identify the triangle as scalene, isosceles, or equilateral.
K(7,0), L(3, 4), M(2, -1)

Answers

Answer:

Step-by-step explanation:

KL = [tex]\sqrt{(3-7)^2 +(4-0)^2}[/tex] = 4√2

LM = [tex]\sqrt{(2-3)^2 +(-1-4)^2}[/tex] = √26

KM = [tex]\sqrt{(2-7)^2 +(-1-0)^2}[/tex] = √26

ΔKLM is isosceles.

Answer:

Triangle KLM is isosceles.

Step-by-step explanation:

Hope this helps.

Heath made a $100 deposit to Wildcat Bank and Trust on Monday. Later that day, he purchased a $35 football signed by the famous
quarterback, William Hadiey. Three days later he sold the item for $90, which he deposited back into his bank account. What Is Heath's new
account balance?

Answers

Answer:

155 would be your answer

Step-by-step explanation:

100-35=65+90=155

WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT

Answers

1,3,4 hope it helps!!!!!! Good luck on the rest!

Answer: it is 1,3,4

Step-by-step explanation:

find the value of X ​

Answers

Answer:

B X equals 3

Step-by-step explanation:

e3quals 3

What is the slope of h(x)?

Answers

Answer:

slope=-2/5

Step-by-step explanation:

rise -2

run 5

Given the functions f(x)=1/2x+6 and g(x)=5x-1, evaluate f(4)

Answers

Answer:

f(4) = 1/2 * 4 + 6 = 8

Step-by-step explanation:

f(x)=1/2x+6

f(4) = 1/2 * 4 + 6 = 8

Are trying to evaluate f*g(4) ?

Position
1 2 3 4 5 n
Value of term
2 12 17 22 27

Answers

Note: It seems the first term of your sequence is 7 instead of 2. So, I am assuming you meant the sequence such as;

7, 12, 17, 22, 27

Answer:

The expression for the nth term of the givens sequence is:

[tex]a_n=5n+2[/tex]

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, 27

Here, the first element of the sequence is:

[tex]a_1=7[/tex]

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5,\:\quad \:27-22=5[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=5[/tex]

so substituting d = 5 and [tex]a_1=7[/tex] in the nth term to determine the expression

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=5\left(n-1\right)+7[/tex]

[tex]a_n=5n+2[/tex]

Therefore, the expression for the nth term of the givens sequence is:

[tex]a_n=5n+2[/tex]
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