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frutty [35]
3 years ago
6

Solve: -9(-5-3x)=21 A) 8/9 B) -8/9 C) 22/9 D) -22/9

Mathematics
1 answer:
marin [14]3 years ago
8 0

Answer: B) -8/9

Step-by-step explanation:

I would start by looking inside the parenthesis to see if anything could be simplified. We see the terms -5 and -3x, and upon realizing that there is no way to simplify, we can go ahead and just simplify the left side of the equation as much as we can before worrying about breaking the equation down. Distribute the -9 to the -5 and the -3x (multiply -9 by -5 and -9 by -3x). Multiplying two negative numbers will result in a positive value, so the left side of your equation should end up looking like this: 45+27x=21. Now, we can start working to get the variable on its own. Subtract 45 from both sides of the equation. On the left side this cancels out and leaves you with 27x. On the right side you have more of the negative value than positive value, so you end up with -24. The equation now looks like this: 27x=24. The only thing left to do is divide the equation by 27. On the left side of the equation, this leaves you with just x. On the right side, you get -24/27. Normally at this point I would divide out to get the decimal form (I prefer working with decimals) but bc the answer choices are all fractions there's not really a good use to, so instead let's just find the greatest common denominator (GCD) which would be 8. (Just as a clarification the GCD is the largest number you can divide both numbers by evenly.) Divide both the numerator and denominator by eight leaves you with -8/9. Therefore, x= -8/9.

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The quotient of F and the product of r,s, and T
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Behold the quotient of F and the product of r,s, and T:  <em>F / (r·s·T)</em>

5 0
3 years ago
Seawater has density 1025 kg/m^3 and flows in a velocity field v = yi + xj, where x, y, and z are measured in meters and the com
olga55 [171]

The rate of flow outward through the hemisphere x² + y² + z² = 9, z >= 0 is zero.

Given that,

Seawater has a density of 1025 kg/m³ and moves at a constant velocity field defined by the equations v = yi + xj, where x, y, and z are measured in meters and the components of V are expressed in meters per second.

We have to find the rate of flow outward through the hemisphere x² + y² + z² = 9, z >= 0.

We know that,

v= yi + xj, and density = 1025 kg/m³

F=1025(yi + xj)

After solving the R(u,v) we get zero.

Therefore, the rate of flow outward through the hemisphere x² + y² + z² = 9, z >= 0 is zero.

To learn more about hemisphere visit: brainly.com/question/28770672

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7 0
1 year ago
Ten men and ten women are to be put in a row. Find the number of possible rows if Beryl, Carol, and Darryl want to stand next to
enyata [817]

Answer: 6 possibilities.

Carol, Beryl, and Darryl

Carol, Darryl, and Beryl

Darryl, Carol, and Beryl

Darryl, Beryl, and Carol

Beryl, Darryl, and Carol

Beryl, Carol, and Darryl

Hope this helps :)

5 0
3 years ago
When tolls on the Dulles Airport Greenway were reduced from $2.25 to $1.50, traffic increased from 18,000 to 20,000 trips a day.
BaLLatris [955]

Answer:

The price elasticity demand for the Dulles Airport Greenway = -0.33

Step-by-step explanation:

Price elasticity of demand is the ratio of how much the quantity of good demanded changes compared to the original demand divided by the change in price compared to the original price of the good.

Mathematically,

Price elasticity of demand = (ΔQ/Q) ÷ (ΔP/P)

ΔQ = Change in quantity demanded = 20000 - 18000 = 2000

Q = initial quantity demanded = 18,000

ΔP = Change in price = 1.5 - 2.25 = -$0.75

P = Original price = $2.25

price elasticity of demand

= (2000/18000) ÷ (-0.75/2.25)

= - 0.3333

Hope this Helps!!!

8 0
4 years ago
Translate the algebraic expression shown below into a verbal expression
Anni [7]
\frac{x}{10}

The answer is:
B) The quotient of some number (x) and 10

*Remember that Fractions=Division!*

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
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