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Phoenix [80]
3 years ago
15

1/3+1/3x+8/3=-1/3(6x+11)

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer:

x=-20/7 or -2.857

Step-by-step explanation:

bring like terms together in each side of the = side

then work the out

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One gallon of paint covers 400 square feet of surface area. A typical spherical water tower holds 66,840.28 cubic feet of water.
fredd [130]

Answer:

They would need approximately 20 gallons of paint for the water tower, so yes, 25 gallons would be enough.

Step-by-step explanation:

In order to find out if there is enough paint for the surface area of the sphere, you need to first find the radius of the object so you can determine the measure of the entire surface area.  Since they give us the volume, we can use that to solve for the radius using the volume formula:  V = πr³  or 66840.28 = πr³.  Using inverse operations, you can first multiply both sides of the equation by the reciprocal of 4/3 or 3/4, then divide by π, this gives you 15,965 = r³.  In order to find 'r', take the cube root of both sides:  ∛15965 = ∛r³  or r ≈ 25.

Now that you know radius = 25, you can use the formula for surface area:  SA = 4πr²  or 4π(25)² ≈ 7850 ft².  Since one gallon of paint covers 400 square feet, we can take our total and divide by 400 to find the number of gallons:  7850 ÷ 400 ≈ 19.6.  In total, we would need 19.6 gallons of paint for the water tower, so if there are 25 gallons available, there is enough.


3 0
3 years ago
What is the x coordinate of the solution of the system? 2x+y=15 and x-y=3
Varvara68 [4.7K]

x - y = 3

x = 3 + y

x -3 = y

y = x-3

put it in 1st equation

2x +y = 15

2x + x - 3 = 15

3x - 3 = 15

3x = 15+3 = 18

x = 18/3 = 6

x = 6

6 0
3 years ago
My questions are in the picture please help
Marrrta [24]

21.

So to solve for the value of a variable in an equation, you would need to isolate x on one side. The first thing you have to do is multiply 2 and (x + 7) together, which can be rewritten as 2(x) + 2(7). After multiplying, your equation would be: 2x+14+3x=12 , or A.

22.

So the rule with multiplying exponents with the same base is to add the exponents together, and the rule with dividing exponents with the same base is to subtract the exponents. Your equation will be simplified as such:

4^{(3+4)-9}\\ 4^{7-9}\\ 4^{-2}

Now the rule with converting negative exponents into fractions is x^{-m}=\frac{1}{x^m} . In this case, 4^-2 would turn into \frac{1}{4^2} , or C, which is your final answer.

6 0
3 years ago
BRAINLIEST! As a dolphin swims along the side of a cruise ship, he jumps to a height of seven meters above the water surface and
Yuliya22 [10]

PLS! MARK ME AS A BRAILIEST......

6 0
3 years ago
Sharon wants to buy a shirt that costs $60. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt
Ivahew [28]

Answer:

$3 sales tax

$63 total cost

Step-by-step explanation:

5% of 60 is 3, so that'd be 60 + 3 which is 63, or $63

hope this helps!!!

stay safe!!!

4 0
3 years ago
Read 2 more answers
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