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2 years ago

1 If y = 7 when x= 3, find y when x=5, given that y varies directly with x.

Mathematics

1 answer:

andriy [413]2 years ago

6 0

Answer:

y1/x1 = y2/x2 ⇒

y2 = (x2/x1) y1

Plug in

x1 = 3

y1 = 7

x2 = 7

and get y2.

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30 = −5(6n + 6) multi step equation show all steps pls

lora16 [44]

Step-by-step explanation:

30=-5(6n+6)

30=-5×6n-5×6

30=-30n-30

30+30=-30n

60=-30n

60/-30=-30n/30

-2=n

5 0

3 years ago

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A bookseller bought 20 pencils at Rs 4.50 each and sold them at Rs 5.75 each. What i total profit?

WITCHER [35]

<h3>Answer: Rs 25</h3>

Explanation:

Each pencil has a profit of Rs 1.25 since $\text{revenue} - \text{cost} = 5.75 - 4.50 = 1.25$

Multiply that result with 20 to get the final answer shown above in bold.

7 0

11 months ago

Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

3 years ago

301,251,769 to the nearest ten thousand

Levart [38]

Answer:

301,250,000

I'm pretty sure that's it.

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3 years ago

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8/9=x+1/3(7) how to solve

Debora [2.8K]

Do 1/3 x 7 (due to the parentheses which mean multiplication). Once you get that answer you should have 8/9 = x + (answer). Now subtract that answer from 8/9 and that's your x!

7 0

3 years ago