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NikAS [45]
3 years ago
7

Having trouble with this word problem;

Mathematics
2 answers:
NeX [460]3 years ago
8 0

Answer:

If Mary runs at 5mhp and Janet runs at 7mph, it will take them 45 minutes to reach a point where there is 1.5 miles between them.

Or, if you'd like a shorter answer:

<u>45 minutes.</u>

Step-by-step explanation:

It will take both of them 1 hour to reach 2 miles between them. We are looking for 1.5 miles between them. So, split 1 hour into 4 equal parts.

1hr = 60 min.

4 x 15 = 60

Next, Add 3 of those 4 parts together or multiply one part by 3.

15 x 3 = 45

There's the answer.

Gwar [14]3 years ago
7 0

Answer:

8mph

Step-by-step explanation:

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-3x -10=32<br> can anybody help me
pochemuha

Answer:

x=-14

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A 9-yard roll of string costs $3.42. What is the unit price?
Karolina [17]

<em>Answer:</em>

<em>$0.38 per yard</em>

<em>Step-by-step explanation:</em>

<em>Step 1:</em>

Given; A 9-yard roll of string that costs $3.42.

Required; To find the unit price

<em>  Step 2:</em>

Convert $3.42 to cents

1 ~dollar=100~cents ~\\therefore,\\$3.42=3.42~x~100=342~cents~

<em>Step 3:</em>

<em>Find the unit price</em>

\frac{9 yard}{1 yard} =\frac{342 ~cents}{x~cents}

9x=342

\frac{9x}{9} =\frac{342}{9}

x=38~cents

<em>Convert to dollars</em>

x=\frac{38}{100}

x=0.38~per~yard

Hence the unit price is $0.38 per yard.

5 0
2 years ago
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
attashe74 [19]

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

8 0
3 years ago
Given PQ = y, RS = 4y - 15, QR = 2 +6, and PS = 4a - 6, solve for the<br> length of RS and QR.
Anna11 [10]

Answer:

Check pdf

Step-by-step explanation:

Download pdf
3 0
3 years ago
Option 1:<br><br> Find x. Show all work.
Ronch [10]

Using law of cosines:

Cos(angle) = adjacent/ hypotenuse


Cos(22) = 12/x

Rewrite to get:

X = 12/cos(22)

Simplify:

X = 12.9424

Round the answer as needed.

5 0
2 years ago
Read 2 more answers
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