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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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If y varies inversely as x and y=32 when x=3, find x when y=15

deff fn [24]

Y=kx, k is not equal to 0
when y=32,x=3, 32=3k
k=32/3
so y=32/3*x
when y=15, 15=32/3*x
x=45/32

5 0

3 years ago

Maria and Franco are mixing sports drinks for a track meet. Maria uses 23 cup of powdered mix for every 2 gallons of water. Fran

Anastaziya [24]

Answer:

Maria

Step-by-step explanation:

Find the ratio of powdered mix to water for each drink.

For Maria:

(2/3 cup) / (2 gallon)

= 1/3 cup per gallon

For Franco:

(1 1/4 cup) / (5 gallon)

= (5/4 cup) / (5 gallon)

= 1/4 cup per gallon

Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.

4 0

2 years ago

What is the slope of the line represented by y=3/4x-1 ? A. –1 B. -3/4 C. 3/4 D. 1

elena55 [62]

Answer:

3/4

Step-by-step explanation:

In the above equation the y-intercept is -1 and the slope of the equation is 3/4

3 0

3 years ago

Read 2 more answers

In triangle ABC, a = 9, c = 5, and angle B = 120°. Find the measure of angle A to the nearest degree. Show your work.

slamgirl [31]

<u>Answer:</u>

Angle A = 39°

<u>Step-by-step explanation:</u>

We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.

But first we need to find the side b using the law of cosine:

$b^2 = a^2 + c^2- 2a*c*cos(120)$

$b^2 = 81 + 25 - 2*9*5*(-0.5)$

$b=\sqrt{151}$

Now finding angle A using law of cosine:

$cos(A) = \frac{b^2+c^2-a^2}{2b*c}$

$cos(A) = \frac{151+25-81}{2*12.29*5}$

$cos A=0.7730$

$A=39.38$

Therefore, the measure of angle A = 39°.

7 0

3 years ago

Read 2 more answers

Can someone help with the polynomials? Please

kolbaska11 [484]

Answer:

22x^2 -10xy + 12x

Step-by-step explanation:

To add and subtract polynomials, combine only like terms. When doing it vertically, stack polynomials and line up the same bases and exponents. Once this is done, simply add and subtract the coefficients.

10x^2 + 12xy + 4x

+ 12x^2 -22xy + 8x

_________________

22x^2 -10xy + 12x

Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.

8 0

3 years ago