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RUDIKE [14]
2 years ago
8

Solve -2 = 5p + 3p -8 – 6p

Mathematics
1 answer:
Shalnov [3]2 years ago
3 0

Answer:

P=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2=5p+3p−8−6p

−2=5p+3p+−8+−6p

−2=(5p+3p+−6p)+(−8)(Combine Like Terms)

−2=2p+−8

−2=2p−8

Step 2: Flip the equation.

2p−8=−2

Step 3: Add 8 to both sides.

2p−8+8=−2+8

2p=6

Step 4: Divide both sides by 2.

2p2=62

p=3

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18 3/8f = -29 4/7 please help
KatRina [158]

Answer:

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Step-by-step explanation:

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3 years ago
Two pools are being drained. To start, the first pool had 3850 liters of water and the second pool had 4370 liters of water. Wat
SashulF [63]

Answer:

(a)

Amount of water in the first pool (in liters) = 3850 liters - 33 liters per minute * x minutes

Amount of water in the second pool (in liters) = 4370 liters - 43 liters per minute * x minutes

(b)

3850 liters - 33 liters per minute * x minutes= 4370 liters - 43 liters per minute * x minutes

Step-by-step explanation:

(a) With x being the minutes after which you want to calculate the amount of water in the pool, to calculate this amount of water you must subtract the water drained from the initial amount of water that the pool contains.

Knowing that, for example, the water from the first pool drains at a rate of 33 liters per minute, then after x minutes, the total water drained will be 33 liters per minute * x minutes. Then:

<u><em>Amount of water in the first pool (in liters) = 3850 liters - 33 liters per minute * x minutes</em></u>

Reasoning in the same way:

<u><em>Amount of water in the second pool (in liters) = 4370 liters - 43 liters per minute * x minutes</em></u>

(b)  Now want to know when the two pools would have the same amount of water.  If they have the same amount of water then you can express:

Amount of water in the first pool = Amount of water in the second pool

Replacing the expressions found in (a):

<u><em>3850 liters - 33 liters per minute * x minutes= 4370 liters - 43 liters per minute * x minutes</em></u>

5 0
3 years ago
A sphere has a diameter of 0.926 inch what is the volume of the sphere use 3.14 for Pie
lord [1]

Answer:

The volume of the sphere is 0.415\ \text{inch}^3.

Step-by-step explanation:

The diameter of a sphere is 0.926 inch. It is required to find the volume of the sphere. The formula used to find the volume of sphere is given by :

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

Since, r is radius, r = d/2 = 0.463 inch

So,

V=\dfrac{4}{3}\times 3.14\times (0.463)^3\\\\V=0.415\ \text{inch}^3

So, the volume of the sphere is 0.415\ \text{inch}^3.

4 0
3 years ago
Use the change of variables s=x+3y, t=y to find the area of the ellipse x2+6xy+10y2≤1.
MArishka [77]

t=y\implies s=x+3t\implies x=s-3t

Then

x^2+6xy+10y^2=(s-3t)^2+6(s-3t)t+10t^2=s^2+t^2\le1

which is a disk of radius 1, hence with area \pi.

5 0
3 years ago
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