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lakkis [162]
2 years ago
11

Gloria says the two expressions ¼ (12x + 24) - 9x and -6 (x+1) are equivalent. Is she correct? Explain how you know.

Mathematics
1 answer:
nasty-shy [4]2 years ago
4 0

Answer: ✧・゚: *✧・゚:* No, they are not equivalent. *:・゚✧*:・゚✧

Step-by-step explanation:

♥*♡∞:。.The first expression is equal to 3x + 24 - 9x, or 24 - 6x, and the second equation equals 6-6x. If you set them equal to eachother, you get 24 - 6x = 6 - 6x. The 6x's cancel out, so you're left with 24 = 6, which is not true. The expressions are not equivalent. 。.。:∞♡*♥

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Simplify a2b3×a5b2​
Kryger [21]

Answer:

\huge \orange { {a}^{7}  {b}^{5} }

Step-by-step explanation:

\huge {a}^{2}  {b}^{3}  \times  {a}^{5}  {b}^{2}  \\  \\\huge =  {a}^{2}  \times  {a}^{5}   \times {b}^{3}  \times  {b}^{2}  \\ \\\huge =  {a}^{2 + 5}  \times  {b}^{3 + 2}  \\ \\  \huge \red{=  {a}^{7}  {b}^{5} }

6 0
3 years ago
In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque t
cluponka [151]

Answer:

$20.

Step-by-step explanation:

Given:

In the clip from the Simpsons, Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso.

It costs $40 to travel from Tucson to Flagstaff,

And $90 to travel from Albuquerque to El Paso.

Question asked:

How much does Bart need to pay ?

Solution:

Fair to travel from Tucson to Flagstaff = $40

Fair to travel from Albuquerque to El Paso = $90

<u>As Ralph charges Bart twice the fair from Tucson to Flagstaff, minus 2/3 the fair from Albuquerque to El Paso. </u>

Bart\ need\ to\ pay=2 \times\$40 - \frac{2}{3} \times\$90\\ \\

                            =80-\frac{180}{3} \\ \\ =80-60\\ \\ =20

Thus, Bart need to pay $20.

5 0
3 years ago
What is the distance between the points (-4, 2) and (1, -3) on the coordinate plane?
ruslelena [56]

Answer:

A. 7.07 units

Step-by-step explanation:

Use the distance formula for coordinates:

d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2   }

Fill in the coordinates accordingly:

d=\sqrt{(1-(-4))^2+(-3-2)^2}

which simplifies down to

d=\sqrt{25+25}

which is of course

d=\sqrt{50}

Plug that into your calculator and you'll get the answer

4 0
3 years ago
WHAT IS THE TOTAL CHANGE IN MEI'S CHECKING ACCOUNT IF SHE WRITES A $35 CHECK FOR SHOES, DEPOSITS $50, AND THEN WRITES A $55 CHEC
denpristay [2]

Answer:

-40

Step-by-step explanation:-35 + 50 -55 =-40

I think, may not be right

8 0
3 years ago
A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?
Tju [1.3M]

Answer:

Y=X/3+3

Step-by-step explanation:

M= Y2-Y1/X2-X1

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  = -1/-3

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sub x=6, y=5, M=1/3 into Y=MX+C

5=6/3+C

5=2+C

5-2= 2+C-2

3=C

5 0
2 years ago
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