Mika used these steps to solve the equation 5x−12=−2+5(x−2). Which choice describes the meaning of her result, −12=−12?

Mathematics

2 answers:

inna [77]3 years ago

5 0

Answer:

All values of x make the equation true

Step-by-step explanation:

Hope this helps!

Debora [2.8K]3 years ago

4 0

All values of x make the equation true

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How many cubes with side lengths of 1/4 does it take to fill the prism?

SCORPION-xisa [38]

Answer:

$\large\boxed{224\ cubes}$

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_{p}=(2)\left(\dfrac{7}{4}\right)(1)=3.5\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left(\dfrac{1}{4}\right)^3=\dfrac{1}{64}\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{3.5}{\frac{1}{64}}=3.5\cdot64=224$

$\bold{METHOD\ 2}\\\\2cm:\dfrac{1}{4}cm=2\cdot4=8\\\\\dfrac{7}{4}cm:\dfrac{1}{4}cm=\dfrac{7}{4}\cdot\dfrac{4}{1}=7\\\\1cm:\dfrac{1}{4}cm=1\cdot4=4\\\\8\cdot7\cdot4=224\ (cubes)$

4 0

4 years ago

Driving through the mountains,Dale has to go up and over a high mountain pass. The road has a constant incline for 7 3/4 miles t

creativ13 [48]

Answer:

6510

Step-by-step explanation:

7.75 x 840 = 6510

8 0

3 years ago

What value of x will make the equation below true?<br> 14−(x+7)=3

zalisa [80]

14-x-7=3
7-x=3
-x=-4
x=4

7 0

3 years ago

What are the zeros of the polynomial function?

Nesterboy [21]

It won't be 0 because f(0) = 300

AS the last term is 300 the zeroes could possibly be 4 of the following possibilities +/-1 , +/-3 , +/- 10 ( The Rational Roots Theorem)

f(3) = 3^4 - 2(3)^3 - 103(3)^2 + 209(3) + 300 = 0

so 3 is one zero

f(10), f(-10) and f(-1) are also = zero

so the list is -10, -1, 3, 10 answer

4 0

3 years ago

Simplify completely quantity 8 x minus 56 over quantity x squared minus 49 divided by quantity x minus 6 over quantity x squared

34kurt

Hello

So the question ask to simplify the said equation. In getting its answer base on that equation you must first factor out each of them then find out the common of them to cancel them out that could lead you to your answer. In my calculation, the answer is D. 8 open parentheses x plus 4 close parentheses over quantity x minus 6. I hope this would help you

Have a nice day

6 0

4 years ago