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zhuklara [117]
3 years ago
8

Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the c

offee, she had $38.80 left on her card. How many pounds of coffee did she buy?
Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = x pounds

Cost of 1 pound = $8.24

Cost of x pounds = $8.24 \times x

Writing the equation as per question statement:

80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow  8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}

Therefore, 5 pounds of coffee was bought.

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Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She
antoniya [11.8K]

Given:

The recipe calls for \dfrac{2}{3} cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

\dfrac{2}{3} cup of strawberries for = 1 gallon of lemonade

1 cup of strawberries for = \dfrac{1}{\frac{2}{3}} gallons of lemonade

                                        = 1\times \dfrac{3}{2} gallons of lemonade

                                       = \dfrac{3}{2} gallons of lemonade

6 cup of strawberries for = 6\times \dfrac{3}{2} gallons of lemonade

                                         = \dfrac{18}{2} gallons of lemonade

                                        = 9 gallons of lemonade

Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

7 0
2 years ago
Which of the following represents the diagram below? HELP ASAP!!
anastassius [24]

Answer: A


Step-by-step explanation:

The shape in the diagram is a square, a square is a shape with all sides being equal. To find out the length of all the sides, just count how many units make up one side since they're the same.

3 0
3 years ago
Which equation represents a circle with a center at (-3,5) and a radius of 6 units
Fittoniya [83]

Answer:

(x+3)^2 +(y-5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 +(y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -3)^2 +(y-5)^2 = 6^2  

(x+3)^2 +(y-5)^2 = 36

5 0
3 years ago
Ryan has 1/2 pound of chocolate. He divides it into 4 equal portions. Write the amount of chocolate, in pounds, in each portion
Vladimir [108]

Answer:

1/8

Step-by-step explanation:

Ryan has 1/2 pound of chocolate

He divided into 4 portions

Therefore the amount each of them will get can be calculated as follows

1/2 ÷ 4

= 1/2 × 1/4

= 1/8

Hence each portion Is 1/8

7 0
3 years ago
Find the equation of a parallel to y+2=-1/2x that passes through the point (-2,2)
FromTheMoon [43]

Answer:

y = - 1/2x + 1

Step-by-step explanation:

y+2= - 1/2x

Slope = -1/2

Point: (-2,2)

y-Intercept: 2 - (-1/2)(-2) = 2 - 1 = 1

4 0
2 years ago
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