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Art [367]
3 years ago
10

Simplify the expression by combining like terms -3x - 8 + 7x - 1

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

4x-9.

Step-by-step explanation:

-3x - 8 + 7x - 1

7x -3x=4x.

-8 -1= - 9.

4x-9

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2 years ago
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What is the length of AB?
frez [133]

Answer:

10

Step-by-step explanation:

You use the distance formula by finding the x and y difference, and you get 8, for x value, 6 for y value, and then you use Pythagorean theorem to get 10 for AB.

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A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other w
hoa [83]

Answer:

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

Step-by-step explanation:

Volume of cylinder = V

Radius of cylinder = r = 0.5 m

Height of the cylinder = 5 m

Volume of cylinder = \pi r^2h

V=3.14\times (0.5 m)^2\times 5 =3.925 m^3

Mass of gasoline = m

Density of gasoline = d = 673 kg/m^3

m=d\times V=673 kg/m^3\times 3.925 m^3=2,641.525 kg

Work done to pump the gasoline out of the tank W

Acceleration due to gravity = g .8 m/s^2

The center of gravity of fuel in fully filled tank will be centre so, the value of h = 2 m + 0.5 m = 2.5 m

W =m\times g\times h

W=2,641.525 kg\times 9.8 m/s^2\times 2.5 m=64,717.36 J

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

6 0
3 years ago
A man age is three times his sons age. ten years ago was five times his sons age. find their current age.
kow [346]

Answer:

The son is 20

The man is 60

Step-by-step explanation:

We can set up this equation with what we know. Let <em>m</em> stand for the Man's current age, and let <em>s</em> stand for his son's current age.

We know the Man's current age is three times that of his son, so this equation can be written as: <em>m = 3s</em>

Ten years ago means the man's current age <em>minus</em> 10 years. So it is <em>m-10</em>. So ten years ago he was 5 times his son's age 10 years ago, <em>5(s-10)</em>

This can be written as: <em>m-10=5(s-10)</em>

Solve with either substitution or elimination, the choice is yours, it doesn't really matter which method you use. I'll be using substitution.

<em>m-10=5(s-10)</em>

<em>3s-10= 5s-50</em>

<em>40=2s</em>

<em>20 = s</em>

The son is <em>20</em> years old.

We know the man is currently 3 times his son's age, because <em>m=3s</em>, so just solve for m since you now know the value of <em>s.</em>

<em>m=3s</em>

<em>m=3(20)</em>

<em>m=60</em>

The man is <em>60</em> years old

4 0
3 years ago
An inequality is shown below. x + 2.5 &lt; 20 What is the greatest value of x from the set {10.5, 12.5, 17.5, 19.5} that makes t
34kurt
C is the final answer :)
4 0
3 years ago
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