Duc and Hue baked cookies to help with their community's fundraiser. Duc baked 10 less than twice the number of cookies Hue baked. Together they baked 80 cookies.

Which system of equations models this situation if d represents the number of cookies Duc baked and h represents the number of cookies Hue baked?


d=2h+10

d=80−h


h=2d−10

d+h=80


d=2h−10

d+h=80


h=2d+10

h=80−d

Answers

Answer 1

Answer: I believe the answer is C

Answer 2

The system of linear equations that represents the given situation is (d + h = 80) and (d = 2h - 10) and this can be determined by using the given data.

Given :

Duc and Hue baked cookies to help with their community's fundraiser. Duc baked 10 less than twice the number of cookies Hue baked. Together they baked 80 cookies.

The following steps can be used in order to determine the system of equations models given situation:

Step 1 - Let the total number of cookies Duc baked be 'd' and the total number of cookies Hue baked be 'h'.

Step 2 - The linear equation that represents the total number of cookies Hue and Duc baked is:

d + h = 80

d = 80 - h  --- (1)

Step 3 - The linear equation that represents that Duc baked 10 less than twice the number of cookies Hue baked is:

d = 2h - 10  --- (2)

Step 4 - Substitute the value of 'd' in equation (2).

2h - 10 = 80 - h

Step 5 - Simplify the above expression.

3h = 90

h = 30 cookies

Step 6 - Substitute the value of 'h' in equation (1).

d = 80 - 30

d = 50 cookies

Therefore, the correct option is C).

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Related Questions

What is the surface area of the sphere
O 36T Square units
O 114 square units
O 144n square units
O 576n square units

Answers

Answer:

144 π³

Step-by-step explanation:

Area of a sphere = 4 π r²

in this case, r = 6π

so, Area of THIS sphere = 4 π (6π)² = 4 . 36 π³ = 144 π³

Answer:

144 pi^3 sq units

Step-by-step explanation:

104÷16=
I need the remainder and the reel answer

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Answer:

62

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

A ferry has 82 cars on board. This is about 64% of all the vehicles on board. Approximately how many vehicles are on board the ferry?

Answers

Answer:

128.125

Step-by-step explanation:

64%=64/100

64/100 = 82 cars

1 = 82÷64/100

=82×100/64

=41×25/8

=1025/8

=128.125

Help me please lol !!!!!

Answers

Answer:

2

Step-by-step explanation:

Kendal bought x boxes of cookies to bring to a party. Each boxes contain 12 cookies. She decided to keep 2 boxes for herself. She brings 60 cookies to the party. What equation can be use to find the number of boxes, x kendal bought

Answers

Answer:

7 boxes

Step-by-step explanation:

Let x represent the amount of cookies that was brought to the party by Kendall

Each box contain 12 cookies

= 12 × x

= 12x

Kendall keeps 2 boxes for herself

= 12 × 2

= 24

Kendall has 60 cookies which she took to the party

Therefore the question can be represented as follows

12x = 24+60

12x= 84

Divide both sides by the coefficient of x which is 12

12x/12= 84/12

x= 7

Hence Kendall brought 7 boxes

Use the quadratic formula to solve for x. 3x2 = 8x-1 Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. = 0 X $ ?​

Answers

Answer:

[tex]x \approx 0.13, 2.54[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

3x² = 8x - 1

Step 2: Rewrite

Put equation in Standard Form

Subtract 8x on both sides:                    3x² - 8x = -1Add 1 to both sides:                               3x² - 8x + 1 = 0

Step 3: Identify Variables

a = 3

b = -8

c = 1

Step 4: Solve for x

Substitute [Quad Formula]:                    [tex]x=\frac{8\pm\sqrt{(-8)^2-4(3)(1)} }{2(3)}[/tex]Evaluate Exponents:                               [tex]x=\frac{8\pm\sqrt{64-4(3)(1)} }{2(3)}[/tex]Multiplication:                                          [tex]x=\frac{8\pm\sqrt{64-12} }{6}[/tex]Subtraction:                                             [tex]x=\frac{8\pm\sqrt{52} }{6}[/tex]Simplify Radical:                                      [tex]x=\frac{8\pm2\sqrt{13} }{6}[/tex]Factor GCF:                                             [tex]x=\frac{2(4\pm\sqrt{13}) }{6}[/tex]Simplify Fraction:                                    [tex]x=\frac{4\pm\sqrt{13}}{3}[/tex]Evaluate:                                                  [tex]x=0.131483, 2.53518[/tex]Round:                                                     [tex]x \approx 0.13, 2.54[/tex]

Calculate the size of angle a when two known angles are 80 degrees and 30 degrees

Answers

70° is the angle.

every triangle has a total of 180°, therefore 180-80-30=70°

Angle size calculation refers to the use of geometrical laws and invariants to find out how many degrees an angle is. Therefore, it is different from angle size measurement, which includes the use of a protractor or other tools to come up with the result. Calculating an angle's size demands knowledge of complementary, supplementary, and adjacent angles, as well as the properties of geometric shapes.

Subtract the given supplementary angle (its value in degrees) from 180 to calculate the size of the angle in question. Supplementary angles, or straight angles, are those whose sum adds up to 180 degrees.

Repeat the process, this time subtracting the given angle from 90, to calculate the size of an unknown complementary angle. Complementary angles, or right angles, are those summing up to 90 degrees.

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Use the number line to add −3/5 and 1 1/4.

Answers

Answer:

13/20

Step-by-step explanation:

You can write 1 1/4 as 5/4.  Any fraction that has the same number in the numerator and the denominator equals 1.  For example 4/4 = 1, 20/20 =1, 5/5 = 1 and so on.

I can rewrite 1 1/4 as 4/4 + 1/4 = 5/4

Now we want to add -3/5 and 5/4.  We need a common denominator because the pieces of the fractions are not equal.  The smallest number that 5 and 4 will go into is 20.  Si U an going to write the two fractions with 20 as the denominator.

-3/5 = -12/20  I multiplied the top and the bottom of -3/5 with 4.

5/4 = 25/20  I multiplied the top and the bottom of 5/4 by 5

-12/20 + 25/20 = 13/20

HELP ME

Find the slope of the following lines

ALSO PLEASE EXPLAIN HOW YOU GOT THE ANSWER

Answers

Answer:

Step-by-step explanation:

Slope is equal to rise over run

You can look at the graph and see to get to from point (-3, -1) to point (2, 4) you rise up (change in y) 5 units and run (change in x) 5 units. This means the slope is 5 / 5 which is equal to 1.

can you please help​

Answers

Answer:

Step-by-step explanation:

d + 19 c

4d+31c

7/8-1/2
Please explain the steps on how to get the answer here is my work but I don’t know how to explain. (Pls help got to explain it to my class)

Answers

Answer:

3/8

Step-by-step explanation:

7/8 - 1/2 = ?

First, we find the Least Common Denominator and rewrite the fractions with the common denominator.

(7/8 × 1/1) - (1/2 × 4/4)

= 7/8 - 4/8 = ?

Now that the denominators are the same, we can subtract the numerators.

7-4/8 = 3/8

This fraction can't be reduced since it is already in its simplest form. Therefore, 7/8 - 1/2 = 3/8

Yoko received a $70 gift card for a coffee store. She used it in buying some coffee that cost $7.37 per pound. After buying the coffee, she had $33.15 left on her card. how many pounds of coffee did she buy?
her card. How many pounds of coffee did she buy

Answers

Answer:

Yoko bought 5 pounds of coffee.

If you want the steps, let me know. Hope this helps!!

Step-by-step explanation:

Find the slope of each line.
1)
2)
у

Answers

Answer:

1) - 1/4 2)3

Step-by-step explanation:

class of the type 15 - 25, 25 - 35, 35 - 45 are called

Answers

integers is the answer of ur question

A rock is thrown from the top of a ladder. The function
h(t) = –16t2 + 120t + 10 gives the height of the rock t seconds after it is
thrown a certain number of feet.
What is the height of the rock at 5 seconds?

Answers

Answer:

h'(t)=88

Step-by-step explanation:

h'(t)=d/dt (-16t x 2 + 120t + 10

h'(t)=d/dt (-32t + 120t + 10)

h'(t)=d/dt (88t + 10)

h'(t)=d/dt (88t) + d/dt (10)

h'(t)=88 + 0

in a household, a business is run for an average of 6 hours per day. the total power consumed by a computer and its printer is 230 watts. in addition, a 100-w light bulb runs during the same 6 hours. if their utility charges 11.75 cents per kwh, how much do the owners pay every 30-days?

Answers

The amount that the owners will pay every 30 days is $6.98.

The total electricity consumed per hour equals power consumed by computers and printers plus light.The total electricity consumed per hour is 230 watts plus 100 watts.The total electricity consumed per hour equals 330 watts per hour.The total monthly electricity consumption equals total monthly electricity consumption * 6 hours * 30 daysThe total electricity consumed per month equals 330 watts x 6 hours x 30 days.The total electricity consumed is 59,400 wattsThe total electricity consumed is 59.4 kwhThe monthly electric bill equals the total electricity consumed multiplied by the utility charges per kwh.The monthly electric bill equals 59.4 kwh x 11.75 cents.The monthly electric bill is 697.95 cents.The monthly electric bill is $6.98.Therefore, the amount that the owners will pay every 30 days is $6.98.

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Tony buys 3 bags of oranges there are 6 oranges in each bag. which expression represents the total number or oranges ​

Answers

3 x 6 = x


X = 18 oranges

Answer:

3x6

Step-by-step explanation:

sally has 2 cats and each cat eats 1/4 of a tin of cat food each day. sally buys 7 tins of cat food. for how many days will the cat food feed her two cats?

Answers

Division is one of the four fundamental arithmetic operations. The number of days this cat food will last is 14 days.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that each cat eats 1/4 of a tin of cat food each day. Therefore, the amount of food that two cats will eat in a day is,

= 2 ×  1/4 of a tin of cat food each day

= 1/2 of a tin of cat food each day

Further, it is given that Sally buys 7 tins of cat food. Therefore, the number of days this cat food will last is,

= Total cat food / Cat food needed in a day

= 7tin of cat food / 1/2 of a tin of cat food each day

= 14 days

Hence, the number of days this cat food will last is 14 days.

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What is the slope of the line that passes through the points (−4,0) and (-4, -10) Write your answer in simplest form.

Answers

Answer:

10/0

Step-by-step explanation:

PLEASE HELP ME AS SOON AS POSSIBLE ITS AN EMERGENCY Caleb draws 2 triangles and claims that the triangles are congruent. For the case that his claim is true, determine whether each statement below must be true.Select yes or no for each statement.

Answers

Answer: 1 and 3

I just took the test

who plays on ps4???? I do

Answers

Answer:

I play Far Cry, mechanic sim, and Subnautica on ps4

Step-by-step explanation:

Someone answer this question please ASAP 15 pts

Answers

1,250 feet. 2 kilometers to meters is 2000 meters. subtract 750 from that and your answer is 1250 feet.

Answer:

Adrian lives closer to the school by A. 1,250 meters.

Step-by-step explanation:

1 kilometer = 1,000 meters

So, if Kevin's home is 2 kilometers from the school, then it is also 2,000 meters away, since  1,000 x 2 = 2,000.

Adrian lives 750 meters, or 0.75 kilometers away from school.

2,000 - 750 = 1,250.

Therefore, Adrian lives closer to the school by A. 1,250 meters.

Hope this helps! :D

4
Point R in AQRS has coordinates (-2, 1). AQRS underwent a translation of moving 2 left and
4 down. What are the coordinates of the image of R?
(1 Point)
O A. (-7, -1)
O B.(4,-3)
O C. (3,-1)
D. (0,4)

Answers

It is super duper duper super B

pls help i got stuck

Answers

I got you
d=5/12+1/12
d=1/2

Please help me yea you

Answers

Answer:

[tex]x=31.8[/tex]

Step-by-step explanation:

Use the trigonometry ratios to find x. The cosine ratio is used when you are given the side adjacent to the angle and the hypotenuse (the hypotenuse is never considered the adjacent side):

[tex]cosineX=\frac{adjacent}{hypotenuse}[/tex]

Insert the values:

[tex]cos51=\frac{20}{x}[/tex]

Solve for x. Multiply both sides by x:

[tex]x(cos51)=x(\frac{20}{x})\\\\x*cos51=20[/tex]

Isolate the variable. Divide both sides by cos51:

[tex]\frac{x*cos51}{cos51} =\frac{20}{cos51} \\\\x=\frac{20}{cos51} \\\\[/tex]

Insert the value into a calculator to be simplified:

[tex]x=31.78[/tex]

Round to the nearest tenth:

[tex]x=31.8[/tex]

:Done

Systems of equations and inequality’s HELP IM BEGGING

Answers

Answer: The answer is D

Step-by-step explanation:

I used desmos graphing calculator! Look it up it really helps! Literally gives the answers. :)

mr minnelo hasksidir​

Answers

Answer:

Who has that name?

Step-by-step explanation:

What's the question i'm really curious lol

Given f(x) = 3x + 2 andg(x) = -2x - 4, find h(x) = f(x) - g(x).

Answers

Answer:

h(x) = 5x+6

Step-by-step explanation:

h(x) = f(x) - g(x)

h(x) = 3x+2 - (-2x-4)

h(x) = 3x+2 + 2x+4

h(x) = 5x+6

All we need to do is plug in the equations for f(x) and g(x) into h(x)

Let's do it

f(x) = 3x + 2 and g(x) = -2x -4

h(x) = f(x) - g(x)

h(x) = (3x + 2) - (-2x - 4)

Combine like terms

(3x) - (-2x) →     3x + 2x      → 5x

(+2) - (-4) →      2 + 4     → 6

Let's put them together

h(x) = 5x + 6

Hope I helped ! :)

Solve the system of equations.
​7x−3y=20
y=5x−4
​ x=
y=

Answers

Answer:

{x,y} = {-1,-9}  

Step-by-step explanation:

the answer is
x= -1
y= -9

Please help and explain

Answers

Answer: E

7 > 2x - 5 > -7

⇔ 12 > 2x > - 2

⇔ 6 > x > -1

Step-by-step explanation:

Answer:

im thinking its F

Step-by-step explanation:

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