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ExtremeBDS [4]
3 years ago
5

Consider the system of equations

Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0
Addition property of equality
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Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?
tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0
3 years ago
A bakery sells 4 dozen cupcakes every 3 hours. If the bakery is open 8 hours each day, how many days does it take to sell 640 cu
zmey [24]

5 days does it take to sell 640 cupcakes.

Given:

A bakery sells 4 dozen cupcakes every 3 hours.

If the bakery is open 8 hours each day.

4 dozen cupcakes = 4*12 cupcakes

= 48 cupcakes

48 cupcakes = 3 hours

divide by 3 on both sides

3hours/3 = 48/3 cupcakes

1 hour = 16 cupcakes

Number of cupcakes for 8 hours = 8 * 16 = 128 cupcakes.

128 cupcakes sells in one day.

To sell 640 cupcakes = 640/128

= 5 days.

Therefore 5 days does it take to sell 640 cupcakes.

Learn more about the bakery and cupcakes here:

brainly.com/question/14466478

#SPJ1

8 0
11 months ago
Todd is saving for a vacation. The cost of his vacation cost $1,089. Todd has a year to save the money. About how much does he n
Serggg [28]

Answer:

He needs to save 90.75

Step-by-step explanation:

Take the money the vacation will cost and divide it by the number of months in a year. 1,089 ÷ 12= 90.75

4 0
3 years ago
Read 2 more answers
What is the scale factor
nadezda [96]

Answer:

2/5

Step-by-step explanation:

Since it's from a big square to a smaller square, the smaller number will be at the top. Also, use the same side to find the scale factor, but since this is a square and all sides of a square are equal, it doesn't matter but in other shapes it does so practice i guess:

Left side of big square: 5

Left side of small square: 2

So scale is 2/5

To confirm:

5 · 2/5 = 10/5 = 2, we're right

5 0
3 years ago
Read 2 more answers
Approximating square root of 17 to the nearest hundredth.
Juliette [100K]

Answer:

4.12

Step-by-step explanation:

\sqrt{17} = 4.1231 ≈ 4.12

6 0
3 years ago
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