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2 years ago

Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?

Mathematics

1 answer:

Andrej [43]2 years ago

5 0

Answer:

Column #1 - 0,5,10,12.5

Column #2 - 0.8

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%7D%20%2B%2012%20%3D%20x%20%2B%208%20" id="TexFormula1" title=" \sqrt{2x} + 12

Helga [31]

First note that $x\ge0$ ; otherwise $\sqrt{2x}$ is undefined as long as we're only looking for real solutions.

We can write

$\sqrt{2x}+12=x+8$
$\sqrt{2x}=x-4$
$2x=(x-4)^2$
$2x=x^2-8x+16$
$x^2-10x+16=0$
$(x-8)(x-2)=0$

$\implies x=8,x=2$

4 0

3 years ago

what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Dmitrij [34]

Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

$\frac{99}{2} (2x+98)=p^3 \\ \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}$

By substitution, we have that $p=33$ and $x=314$ .

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>

3 0

3 years ago

Classify each sequence as arithmetic, geometric or neither:

Serhud [2]

1. Neither
2. Arithmetic
3. geometric
(I may be wrong, ask this question again sometime. We just learned this in math class and 99% sure I'm right.)

5 0

3 years ago

There are 15 students in the preschool class. For every 7 kids there is 1 teacher. Which ratio shows the number of teachers to t

ANTONII [103]

Answer:

1:7

Step-by-step explanation:

I may be wrong but try to check it over and see if it’s correct.

5 0

3 years ago

Read 2 more answers

Help pls answer questions 2

Alexxandr [17]

For a:
28 miles in half an hour= 56 miles/ hour.
the avg rate of speed would be 56 mph.
for b:
if he keeps driving at the same avg speed mentioned earlier.
162miles/ 56mph=2.893 hours.
which is lower than 3 hours. thus, his estimate is reasonable.

6 0

3 years ago