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2 years ago

Use the Distributive Property to rewrite the algebraic expression. 5(2x + 7)

Mathematics

1 answer:

IceJOKER [234]2 years ago

6 0

Answer:

10x + 35

Step-by-step explanation:

In distributive property, you have to distribute that 5 to both the 2x and the 7, so then it would look like this:

5(2x) + 7(5)

Then we just further simplify and get:

10x + 35.

Hope this helped, let me know if you have any questions

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Find the volume of the solid generated by revolving the region bounded by

Rama09 [41]

Answer:

$V =\dfrac{25\pi}{\sqrt{2}}$

Step-by-step explanation:

given,

y=5√sinx

Volume of the solid by revolving

$V = \int_a^b(\pi y^2)dx$

a and b are the limits of the integrals

now,

$V = \int_a^b(\pi (5\sqrt{sinx})^2)dx$

$V =25\pi \int_{\pi/4}^{\pi/2}sinxdx$

$\int sin x = - cos x$

$V =25\pi [-cos x]_{\pi/4}^{\pi/2}$

$V =25\pi [-cos (\pi/2)+cos(\pi/4)]$

$V =25\pi [0+\dfrac{1}{\sqrt{2}}]$

$V =\dfrac{25\pi}{\sqrt{2}}$

volume of the solid generated is equal to $V =\dfrac{25\pi}{\sqrt{2}}$

4 0

3 years ago

Jim had some dimes, quarters, and nickels. First, he counted only the dimes and quarters and found that he had 9 coins. Then, he

Olegator [25]

Answer:

$1.90

Step-by-step explanation:

Represent the numbers of nickels, dimes and quarters by n, d and q.

Then: d + q = 9, or q = 9 - d.

Also, n + d = 10

Lastly, n + d + q = 15.

Let's substitute 9 - d for q in the equation immediately above:

n + d + (9 - d) = 15, or n + 9 = 15. Then n must be 6.

In summary, Jim has 6 nickels, (10 - 6) dimes and (9 - 4) quarters, or:

6 nickels, 4 dimes and 5 quarters

Thus, he has 5($0.05) + 4($0.10) + 5($0.25), or

$0.25 + $0.40 + $1.25, or $1.90

7 0

3 years ago

Find the value of the following expression 100 - 2(x + 5) when x = 10 *

Ede4ka [16]

Answer:

Step-by-step explanation:

100 - 2(x + 5) = 100 - 2x - 10 = 90 -2x

90 - 2x

90 - 2×10

90 - 20 = 70

4 0

2 years ago

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3.The side of a square frame is (2b - 1) inches. Find its area.

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

(a - b)² = a² + 2ab + b²

Area of square frame =side²

= (2b - 1)²

= (2b)² - 2*2b * 1 + 1²

= 4b² - 4b + 1

5 0

2 years ago

1+1=?<br> Sana Naman yung tamang sagot lang

Naily [24]

Answer:

Step-by-step explanation:

1+ 1 = 2

Hope this helps

plz mark as brainliest!!!!!!!

5 0

2 years ago

Read 2 more answers