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3 years ago

What algebraic expression is equivalent to this expression? 9(2x+6) - 18

Mathematics

2 answers:

pogonyaev3 years ago

8 0

Answer:

18x+36

Step-by-step explanation:

We are given the expression:

$9(2x+6)-18$

We want to simplify the expression. First, let's distribute the 9. Multiply each term inside the parentheses by 9.

$(9*2x)+(9*6)-18$

$(18x)+(54)-18$

Combine like terms. There are 2 constants (terms without variables): 54 and -18. We can add them together.

$(18x)+(54+-18)$

$(18x)+(54-18)$

$18x+36$

The expression 9(2x+6)-18 is equivalent to 18x+36

Svet_ta [14]3 years ago

3 0

Answer:

18x+36

Step-by-step explanation:

9(2x+6) - 18

Distribute

9*2x + 9 *6 -18

18x +54 -18

Combine like terms

18x+36

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Find the length of the second leg of the triangle round to the nearest hundredth

horsena [70]

Answer:

$\displaystyle \frac{3\sqrt{230}}{5}$

Step-by-step explanation:

Use the Pythagorean Theorem:

$\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b$

So, you have this:

$\displaystyle 9,1 ≈ b$

I am joyous to assist you at any time.

7 0

3 years ago

Luis is saving money to purchase a new video game. He has a total of 30 coins consisting of nickels and dimes. The value of the

scoundrel [369]

A) N + D = 30
B) .05N + .1D = 2.20

Multiplying equation A by -.05
A) -.05N -.05D = -1.50 then adding it to B
B) .05N + .1D = 2.20
.05D = .70
Dimes = 14

Nickels = 30 -14 = 16

4 0

3 years ago

Read 2 more answers

ALGEBRA NATION Question 5 of 10 < Previous Question Next Question > Rewrite the expression below. -2a(a + b – 5) + 3(-5a +

Ierofanga [76]

–2a² + 4ab – 5a – 2b + b²

Solution:

Given data:

–2a(a + b – 5) + 3(–5a + 2b) + b(6a + b – 8)

To solve this expression:

Multiply each number or variable into the bracket.

–2a(a + b – 5) + 3(–5a + 2b) + b(6a + b – 8)

= –2a² – 2ab + 10a – 15a + 6b + 6ab + b² – 8b

Arrange like terms together.

= –2a² – 2ab + 6ab + 10a – 15a + 6b – 8b + b²

= –2a² + 4ab – 5a – 2b + b²

Hence the solution is –2a² + 4ab – 5a – 2b + b².

8 0

3 years ago

It takes your garden hose 19 seconds to fill your 2-gallon watering can. How long in hours will it take to fill a circular infla

Marrrta [24]

Answer:

Time taken to fill the pool = 7.81 hours

Step-by-step explanation:

We are given that it takes 19 seconds to fill 2 gallons. Therefore, we can use cross multiplication to know how long will it take to fill one gallon as follows :

Time taken to fill 2 gallons of tank = 19 seconds

$\text{Time taken to fill 1 gallons of tank = }\frac{19}{2}\text{ = 9.5 seconds}$

Therefore, it takes 9.5 seconds to fill one gallon of water.

One gallon is equivalent to 0.133681 cubic feet

Therefore, it takes 9.5 seconds to fill 0.133681 cubic feet

Now, to find Volume of the pool :

radius of pool = 6 ft

volume of pool = pi × (radius)² × height

volume of pool = 3.14 × 6² × 3.5

volume of pool = 395.64 cubic feet

Time taken to fill 0.133681 cubic feet of water = 9.5 sec

$\text{Time taken to fill 395.34 cubic feet of water = }\frac{9.5}{0.133681}\times 395.64\\\\\implies\bf\textbf{Time taken to fill the pool = 28116.04 seconds}=\frac{28116.04}{60\times 60}\text{ hours}\\\approx 7.81\textbf{ hours}$

Hence, Time taken to fill the pool = 7.81 hours

8 0

4 years ago

HELP! What is the slope of the line in the graph? A. -4/3 B. -3/4 C. 3/4 D. 4/3

Oliga [24]

Answer:

I think it is D

Step-by-step explanation:

4 0

3 years ago