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3 years ago

The variables x and y are related proportionally. When x = 8, y = 14. Find y when x = 32.

Mathematics

1 answer:

KengaRu [80]3 years ago

6 0

Answer:

y = 56

Step-by-step explanation:

given that x and y are proportional then

y = kx ← k is the constant of proportionality

to find k use the given condition y = 14 when x = 8

k = $\frac{y}{x}$ = $\frac{14}{8}$ = $\frac{7}{4}$ , thus

y = $\frac{7x}{4}$

when x = 32

y = $\frac{7(32)}{4}$ = 56

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Calculate the value of b + 12.5=12

KATRIN_1 [288]

Answer:

$\large\boxed{b = -0.5}$

Step-by-step explanation:

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3 years ago

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Pablo borrowed $50,000 to start a business. Three years later, he repaid the $50,000 along with an interest of $9,375. What was

kiruha [24]

Answer:

The annual interest rate is 6.25%

Step-by-step explanation:

We have been given that

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I = $9,375

t = 3 years

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The formula for simple interest is given by

$I=Prt\\\\\text{Substituting the known values, we get}\\\\9375=50000(r)\cdot3\\\\r=\frac{9375}{50000\cdot3}\\\\r=0.0625\\\\r=6.25\%$

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2 years ago

Solve for x. x + 3 = 10

ICE Princess25 [194]

Answer:x=7

Step-by-step explanation:

X+3=10

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3 years ago

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Choose the constant term that completes the perfect square trinomial.<br><br> y2 + y

Oduvanchick [21]

Hello!

First off, please write y2 + y as y^2 + y. The " ^ " symbol denotes exponentiation, whereas y2 is meaningless.

To find the constant term in question, take half of the coefficient of y (that is, take 1/2) and square it. Then we have y2 + y + 1/4.

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3 0

3 years ago

Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a

Leto [7]

Answer:

2.45c + 1.65c = 4.12 + 0.75

Step-by-step explanation:

To write an equation to find the value for c, we need to declare what c is first.

c = price of fruit

2.45c + 1.65c = 4.12 + 0.75

Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.

Now to check if the equation is right, let's solve for c.

2.45c + 1.65c = 4.12 + 0.75

4.1c = 4.87

Now to get the value of c, we divide both sides of the equation by 4.1.

$\dfrac{4.1c}{4.1}=\dfrac{4.87}{4.1}$

c = 1.19

Now let's substitute the value of c in the equation to see if we got it right.

2.45(1.19) + 1.65(1.19) = 4.12 + 0.75

2.92 + 1.96 = 4.87

4.87 = 4.87

Therefore concluding that the value of c is 1.19.

7 0

3 years ago