All categories

4 years ago

Solve for the variable. Show all work. 8(1 - x) + 36 = -2(4x + 24) + 95

Mathematics

2 answers:

nlexa [21]4 years ago

8 0

remember that you can do anything to an equation as long as you do it to both sides

8(1-x)+36=-2(4x+24)+95

distribute

8-8x+36=-8x-48+95

-8x+44=-8x+47

add 8x to both sides

44=47

false

since the variables dissapeared and we were left with a false statement, no value of x will satisfy the equation

x={} (the empty set, no solution)

Troyanec [42]4 years ago

4 0

This statement is false, there is no variable to make this statement true.

You might be interested in

Can someone please help me with this question?!

Alex

Answer:

-5

Step-by-step explanation:

The slope is given by

m= ( y2-y1)/(x2-x1)

= ( 0-10)/(2-0)

= -10/2

= -5

4 0

3 years ago

3y+4y+6=20 solve variable. include steps, also check your answer!

stira [4]

Answer:2

Step-by-step explanation:

3y+4y+6=20

7y+6=20

7y=20-6=14

Y=14/7=2

6+8+6=20

8 0

3 years ago

Reduce to lowest terms: -5/8 divided by 1/4. PLEASE HELP!!

Wewaii [24]

$- \frac{5}{8} \div \frac{1}{4} \\ \\ - \frac{5}{8} \times 4 \\ \\ - \frac{20}{8} \\ \\ - \frac{5}{2} \\ \\ Answer: \fbox {-5/2} \ or \ \fbox {-2.5}$

4 0

3 years ago

Read 2 more answers

A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0

3 years ago

Help is highly appreciated

grandymaker [24]

Answer:

Step-by-step explanation:

2-(-1\8)±-7\4 then

2 plus 1\8 plus -7\4

2 plus 1\8 plus -14\8

2 -13\8

2= 16/8

3\8?

3 0

3 years ago

Read 2 more answers