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aivan3 [116]
3 years ago
12

When x is 4, y is 12. If y varies directly as x, which equation relates x and y?

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer:

12/4

Step-by-step explanation:

y varies directly with x basically means y÷x so you will have to divide the variables together. In other words, it basically means y varies proportionally as x

so in this case, it would be 12 divided by 4 resembling that y varies directly as x

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Chau's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Chau $5.50 per pound, and type B
Anettt [7]

84 pounds of Type B coffee is used

<em><u>Solution:</u></em>

Let "x" be the pounds of type A coffee

Let "y" be the pounds of type B coffee

Cost per pound of type A = $ 5.50

Cost per pound of Type B = $ 4.20

<em><u>This month, Chau made 143 pounds of the blend</u></em>

x + y = 143

x = 143 - y -------- eqn 1

<em><u>For a total cost of $677.30. Thus we frame a equation as:</u></em>

pounds of type A coffee x Cost per pound of type A + pounds of type B coffee x Cost per pound of Type B = 677.30

x \times 5.50 + y \times 4.20 = 677.30\\\\5.5x + 4.2y = 677.30 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

5.5(143-y) +4.2y = 677.30\\\\786.5 -5.5y + 4.2y = 677.30\\\\5.5y - 4.2y = 786.5 - 677.30\\\\1.3y = 109.2\\\\Divide\ both\ sides\ by\ 1.3\\\\y = 84

Thus 84 pounds of Type B coffee is used

8 0
3 years ago
Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best po
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Answer:

Step-by-step explanation:

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3 years ago
,
MAXImum [283]

Answer:

x=3 and N is the mid-point.

Okay, so if N is the mid-point.

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E N=4 x -1

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Now get the 6 x by itself, so move the 3 over

So it would be: 6 x =18

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160/10 =16 dollars per hour
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The answer is 40 sq. units

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1/2×10×8

= 40

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3 years ago
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