MATHEMATICS MIDDLE SCHOOL

Luke spendsA total of $41 on three drinks and 10 bags of popcorn Christopher spend a total of $11 on two drinks and two bags of popcorn right assessment equations that can be used to find the price of one using these equations determine the state the price of the bag of popcorn to the nearest cent

Answers

Answer 1
Answer:

System of equations that can be used to find the price of one drink and the price of one bag of popcorn is:

3d + 10p = 41

2d + 2p = 11

Price of a bag of popcorn is $ 3.5

Solution:

Let "d" be the price of one drink

Let "p" be the price of 1 bag of popcorn

Luke spends total of $41 on three drinks and 10 bags of popcorn

3 drinks x price of one drink + 10 bags of popcorn x price of 1 bag of popcorn = 41

3 * d + 10 * p = 41

3d + 10p = 41 ------ eqn 1

Christopher spend a total of $11 on two drinks and two bags of popcorn

2 drinks x price of one drink + 2 bags of popcorn x price of 1 bag of popcorn = 11

2 * d + 2 * p = 11

2d + 2p = 11 ------- eqn 2

Eqn 1 and eqn 2 represents system of equations that can be used to find the price of one drink and the price of one bag of popcorn

Let us solve eqn 1 and eqn 2 to find values of "d" and "p"

Multiply eqn 2 by 5

10d + 10p = 55 --- eqn 3

Subtract eqn 3 from eqn 1

3d + 10p = 41

10d + 10p = 55

(-) ------------------------

-7d = -14

d = 2

From eqn 2,

2d + 2p = 11

2(2) + 2p = 11

4 + 2p = 11

2p = 7

p = 3.5

Thus price of 1 bag of popcorn is $ 3.5 and price of one drink is $ 2

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Suppose the repeated pattern in 0.020020200202002...continues forever.Is this number rational?A)Yes,because the number can be written as the quotient integers.
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D)No,because the number is repeating decimal.

Answers

Yes.  Any decimal that repeats the same pattern forever is rational,
because it can be written as the quotient of integers.

This one can be written as      2,002 / 99,999 .
 the answer is a yes it is a rational number                                                

Wes has a piece of land with side lengths of 36.2 m, 41.6 m, 39.4 m, and 31.2 m. He also has 150 m of tape to mark the boundaries of the land. After Wes marks the land, how much tape will he have left over?

Answers

add up all of the side lengths and you get 148.4 as the perimeter.

subtract that from 150 and you're left with 1.6 m left of tape

Answer:

1.6m of rope

Step-by-step explanation:

Add up all the sides then subtract that from 150

12.5% is what in fraction form?

Answers

1/8 is the answer because when you turn 12.5% into a decimal it is .125 and .125 x 8= 1. Hope this helps you out.
12.5 % as a fraction:

12.5 = (12.5)/(100) = 0.125

The largest common multiple is 12.5

(12.5/12.5)/(100/12.5) 
(1)/(8)

Rhombus DEFG with vertices D (-4, -5), E (-3, -2), F (0,-1), and G(-1, -4); reflect in the x-axis

Answers

When doing reflections over the x-axis your y coordinate changes but your x coordinate stays the same so your new coordinates are

D (-4, 5)

E (-3, 2)

F ( 0, 1)

G (-1, 4)

I hope this helps

THIS IS FOR 18 POINTS!!!Ethan bought 3 new baseballs. Bethany has three times as many baseballs as Ethan now has. Let x=the number of baseballs Ethan had before he bought any new ones. Together they now have 44 baseballs.
A. Write an equation to represent the equation.
B. How many did Ethan have before he bought any new ones?

Answers

The equation is
(X + 3) + (x + 3 ✖️3)=44
Ethan had 12 baseballs.
Steps:
1. You do 44 dived by 3 which is 14.66 repeating
2. You subtract 3
2. You get 11.66 repeating
3. You round up to 12
4x+12 .  (x=8)

Ethan had 8 baseballs before he bought any new ones.

Write as a fraction or a mixed number. Reduce, if possible. 0.125

Answers

1/8
Hope this helped!
The answer is 1/8.
Step 1: 0.125 = 125⁄1000 
Step 2: Simplify 125⁄1000 = 1⁄8 
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