3 years ago

Use a proportion to solve:

Mathematics

2 answers:

Tatiana [17]3 years ago

6 0

168!! 96 divided by 4 is 24, so the bus drives 24 miles a hour, 24 times 7 is 168!

Mariulka [41]3 years ago

4 0

Answer:

420 miles

Step-by-step explanation:

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4. What number completes the following<br>equation?<br>8x (40 + 7) = (8 ) + (8 x 7)

Juli2301 [7.4K]

Answer:

x=8/47

Step-by-step explanation:

8x(40+7)=8+(8*7)

8x(47)=8+56

376x=64

x=64/376

x=8/47

5 0

3 years ago

The diagram shows part of a number line.Two of the fractions are not complete. Write the missing numerator in each box

Tcecarenko [31]

The first numerator is 3 and the second is 17 not 2

4 0

3 years ago

How do I simplify and solve for x for 3x-7=2

saul85 [17]

$3x-7=2\ \ \ \ \ \ \ \ |add\ 7\\\\3x=2+7\\\\3x=9\ \ \ \ \ \ \ |:3\\\\x=3\\$

8 0

3 years ago

Read 2 more answers

Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer

Otrada [13]

Let $2n+1$ be the smaller integer. The larger integer is then $2n+3$ , and we have

$(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13$

$\implies4n^2+2n-12=0$

$\implies2n^2+n-6=0$

$\implies(2n-3)(n+2)=0$

$\implies 2n-3=0\text{ or }n+2=0$

$\implies n=\dfrac32\text{ or }n=-2$

We omit $n=-2$ , since $2(-2)+1=-3$ is negative.

Then for $n=\dfrac32$ we find $2\left(\dfrac32\right)+1=4$ , but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=8%20%5E%28x%29%2B32%20x%5E%7B2%7D%2B4" id="TexFormula1" title="8 ^(x)+32 x^{2}+4" alt="8 ^(x)+

Grace [21]

Answer:

Step-by-step explanation:

Rearrange the terms and take out a common factor of 4

4(8x^2 + 2x + 1)

I think this is as far down as you want to take it. It gives an imaginary root which you may not be familiar with.

4 0

3 years ago