All categories

3 years ago

What is -296 = -8 (8a +5)? With work provided

Mathematics

1 answer:

Feliz [49]3 years ago

5 0

Answer:

a = 4

Step-by-step explanation:

Simplify both sides of the equation.

−296=−8(8a+5)

−296=(−8)(8a)+(−8)(5)

−296=−64a+−40

−296=−64a−40

Flip the equation

−64a−40=−296

Add 40 to both sides

−64a−40+40=−296+40

−64a=−256

Divide both sides by -64

(−64a ) / (−64) = (−256) / (−64)

a = 4

You might be interested in

Solve the system of equations -5y-10x=45. -3y+10x=-5 x= y=

yKpoI14uk [10]

Answer:

x = -2

y = - 5

Step-by-step explanation:

-5y - 10x = 45

-3y + 10x = -5

------------------------Add

-8y = 40

y = -5

-3(-5) + 10x = -5

15 + 10x = -5

10x = -20

x = -2

Answer

x = -2 and y = - 5

8 0

3 years ago

What is the value of f(3)?

Anni [7]

Answer:

-12

Step-by-step explanation:

Note that when x < 6, you will use the expression -4x

f(x) = -4x

Plug in 3 for x

f(3) = -4(3)

Simplify. Multiply

f(3) = -4(3)

f(3) = -12

-12 is your answer

5 0

3 years ago

Find the surface area of a sphere with a volume of 36π in3.

swat32

First use known volume to solve for radius:
$V=\frac{4}{3}\pi r^{3}$
$r=\sqrt[3]{\frac{3V}{4\pi}}$
$r=\sqrt[3]{\frac{3(36\pi)}{4\pi}}$
$r=\sqrt[3]{27}$
$r=3$

Then use the radius to get the surface area:
$A_{surf}=4 \pi r^{2}$
$A_{surf}=4 \pi 3^{2}$
$A_{surf}=4 \pi 9$
$A_{surf}=36\pi\approx113.09$