If a train travels m miles in h hours and 45 minutes, what is the average speed in miles per hour ?a)  m / (h + 3/4 ), b) m / 7h, c) m ( h + 3/4 ), d) ( m + 45 ) / n, e) h / ( m + 45 )

Answers

Answer 1
Answer: Speed = (distance covered) / (time to cover the distance).

Time = 'h' hours and 45 minutes.
45 minutes is 3/4 of an hour. (or 0.75 hour)
Total time is (h + 0.75) hours.

Speed = 'm' / (h + 0.75)

That's choice-'a'.
Answer 2
Answer: s=m \ miles\n t=h \ hours \ 45 \ min=h+0.75 \ hours\n v=(s)/(t)\n v=(m)/(h+0.75) =(m)/(h+(3)/(4)) \Rightarrow A

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A tailor needs ¾ of a yard of material to make a shirt. How many shirts can the tailor make with 20 yards of material?

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If y varies inversely as x and y = 18 when x = 4, what is y when x = 24?a.12
b.6
c.3
d.16

Answers

The answer is C. Try 18=k/4. 18*4=72. Take 72/24=3.
The answer is 3. 
y=k/x
18=k/4
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when x is 24
y=72/24
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The perimeter of a rectangle is 48 in. If the length is twice the width, what is the length of the rectangle?

Answers

Step one: We need to find the formula for perimeter. And we can't just say "count all the sides". How can we express it? It's length + length + width + width, right? Let's size that down a little bit. 2*length 2*width. We'll use w to express "width" and 2w to express "length".
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Since length is twice the width, 8*2 is 16. Length=16.

You can check it by substituting the different values for length and width into the equation 2w+2l=perimeter.
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Evaluate the expression for the given value of x 9x, x=5

Answers

If x = 5 then all you have to do is plug in 5 into 9x; 
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Hope I helped! <3


How to solve this equation by elimination?<br />
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Answers

Multiply 7x+y=-19 by 5 to have the same value of y. Then subtract one from the other.

35x+5y=-95
-
2x+5y=4.

You get a result of 33x=-99
X=-3

Substitute the x into one of the original equations.

2*-3 +5y= 4
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Y=2

X varies directly as the cube root of y .x=6when y=8.Find the value of x when y=64.

Answers

Answer:

The value of x is 12.

Step-by-step explanation:

Given that x is directly proportional to y so the expression will be x=k(³y)where k is the constant. First, you have to find the value of k :

x = k \:  (\sqrt[3]{y} )

let \: x = 6,y = 8

6 = k \:  (\sqrt[3]{8} )

6 = k(2)

k = 3

Next, you have to find the value of x, by substituting y = 64 into the expression :

x = 3 \: ( \sqrt[3]{y} )

x = 3( \sqrt[3]{64} )

x = 3(4)

x = 12