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3 years ago

How many times dose 18 go into 170

Mathematics

1 answer:

Leokris [45]3 years ago

7 0

I think it is 10 because 18×10=180 but it is close hope this helps

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How much water must be evaporated from 130 gallons of a 9% acid solution to make a 12% acid solution?

Bad White [126]

Answer: 33 gallons

Step-by-step explanation:

We initially have 130 gallons of a $9\%$ acid solution and we need to change it to a $12\%$ acid solution, and for that it is necessary to evaporate $n$ gallons of water.

So, this situation can be mathemtically expressed as follows:

$(130)(9\%)=(130-n)(12\%)$

Then:

$(130)(\frac{9}{100})=(130-n)(1\frac{12}{100})$

Isolating $n$ :

$11.7=15.6-0.12 n$

$n=32.5 \approx 33$

Hence, we need to evaporate 33 gallons of water.

6 0

4 years ago

Instructions: Given the vertex, fill in the vertex form of the quadratic function..

miskamm [114]

Answer:

$\implies y=(x-2)^2-6$

Step-by-step explanation:

Vertex form of a quadratic equation:

$y=a(x-h)^2+k$

where:

(h, k) is the vertex
a is some constant

Given vertex: (2, -6)

⇒ h = 2 and k = -6

Substitute the values of h and k into the formula:

$\implies y=a(x-2)^2+(-6)$

$\implies y=a(x-2)^2-6$

As we have not been given a value for the constant $a$ , assume this is 1.

Therefore, the vertex form of the quadratic function with vertex (2, -6) is:

$y=(x-2)^2-6$

Learn more about vertex form here:

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5 0

2 years ago

Read 2 more answers

How many people from the under 30 attended in july

Cloud [144]

Is there supposed to be an attachment to this question?

3 0

4 years ago

Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 5.3, 2.3, 2.9, 4.3, 3.8. Calculat

evablogger [386]

Answer: 1.18

Step-by-step explanation:

Let m be mean

Mean= sum/ n

Mean= (5.3+2.3+2.9+4.3+3.8 ) / 5

m= 18.6 / 5

M= 3.72

Mean= 3.72

Standard deviation sample formula is:

S.D= sqrt((|x-m|^2) / n-1)

So let start with |x-m|^2

For 1st: |5.3-3.72|^2=2.4964

For 2nd: |2.3-3.72|^2=2.0164

For 3rd: |2.9-3.72|^2=0.6724

For 4th: |4.3-3.72|^2=0.3364

For 5th: |3.8-3.72|^2=0.0064

Summation of |x-m|^2 = 5.528

Standard deviation sample formula is:

S.D = sqrt((summation of |x-m|^2) / n-1)

S.D=sqrt(5.528 / 4)

S.D=sqrt(1.382)

S.D=1.176

S.D=1.18 to 2 decimal place

8 0

3 years ago

Can someone help me please

aleksandrvk [35]

I don’t see nothing there

5 0

3 years ago