Quel est le rayon d'une demi-boule ayant un volume de 248,832 pie décimètres cubes ?

The length of a rectangle is 12 units longer than the width. The perimeter is 7 times the width. Find the length and the width o

katen-ka-za [31]

Log explanation below; answer is at bottom.

If the length, l, is 12 units longer than the width, w, then w = l - 12. If the perimeter, p,

p = 2l +2w,

is 7 x w, then

w = p/7

When two things are set equal to the same variable, they are equal to each other, so,

l - 12 = p/7

Now you need to get rid of the p so you are only working with one variable. To do this you plug in whatever p is equal to for p, so,

l - 12 = (2l + 2w)/7 now to get rid of the w do the same thing we did with p just for w. So,

l - 12 = (2l + 2(l - 12))/7

To solve this you want to multiply both sides by 7 first to get rid of the fraction.

7l - 84 = 2l + 2(l - 12)

Next you want to distribute the 2 over the l and the 12.

7l - 84 = 2l + 2l - 24

Next you want to combine like terms on each side.

7l - 84 = 4l - 24

Next add 84 and subtract 4l from sides to isolate the variable.

3l = 60

Now divide each side by 11 to get your answer.

l = 20.

To find the width,

w = l - 12

Just plug in and solve.

w = 20 - 12

w = 8

So your length and width are 20 and 8.

l = 20

w = 8

7 0

3 years ago

When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula,

astra-53 [7]

Answer: Approximately 1.9 atm

============================================

Work Shown:

$P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\$

If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.

Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.

-----------

As a check,

$P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\$

We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.

A more accurate check could be

$P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\$

which has the two sides much closer to one another. This helps us verify the answer.

5 0

3 years ago

This is adding and subtracting binomials please help I need this ASAP (17 points)

Nina [5.8K]

Answer:

-14x + 4y

Step-by-step explanation:

Step 1: Set up expression

(-10x - y) - (4x - 5y)

Step 2: Distribute negative

-10x - y - 4x + 5y

Step 3: Combine like terms

-14x + 4y

6 0

3 years ago

Alexis and Martin helped the school set chairs in rows for an assembly. They put the same number of chairs in each row. Using 92

Furkat [3]

4c + 5c = 92 - 2

9c = 90

c = 10

22 chairs were not used in the assembly.

4 0

3 years ago

Twice a number increased by 8 is 30

Gnesinka [82]

Answer:

Step-by-step explanation:

twice a number.......2n

increased by 8.....+ 8

is 30.....= 30

ur equation is : 2n + 8 = 30

4 0

3 years ago

Read 2 more answers