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Mrac [35]
3 years ago
12

You made a deal with Ms.Williams to read 100 pages every night. You know that it takes you 32 minutes to read 16 pages. How long

will it take you to read the 100 pages you promised Ms.Williams? Please help me with my homework ;(
Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0
Put the problem into a proportion to make it easier to solve.

32        x
      =
16       100

You can use cross products to simplify this proportion.  Multiply 32 by 100, and set that number equal to 16 *x.  

Your equation should now look like this
3200=16x

You are trying to get the variable alone on one side, so you should divide both sides by 16.

If this is performed correctly, then your final answer should be 

x=200.

It will take you 200 minutes (3 hours 20 mins) to read the pages that you promised Ms. Williams

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Prove that 3:8 is equal to 12:32 and use a diagram
N76 [4]
3 times 4 =12 8 times 4=32
So 12:32 is the same as 3:8
3 0
3 years ago
Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°​
Lerok [7]

Answer:

x = 71°

Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is sin\: x = cos 19^{\circ}, where 0°< x < 90°?

Solving:

sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}

So, we get x = 71°

Option B is correct answer.

5 0
2 years ago
How many ways can you distribute 4 different balls among 4 different boxes?
Sav [38]

Answer:

16?? not sure.......

6 0
3 years ago
Read 2 more answers
Steve built a rectangular  table that is 72 inches long and has a perimeter of 240 inches. What is the width of Steve's table? P
crimeas [40]
2(l+w)=P
72 x 2= 144
240 - 144= 96
96/2= 48
your answer would be 48in.
<u>check
</u>2(72+48)= 240
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        240=240
4 0
3 years ago
Read 2 more answers
The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
Tema [17]

Answer:

2 \frac{1}{16}

Step-by-step explanation:

The question state that;  the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is  1/6 of n = 1/6 × n  = \frac{n}{6}

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n  = 5/2 × n = \frac{5n}{2}

So the question says that, when we add; \frac{n}{6} ,  \frac{5n}{2}  and 7 all together, the value is 12 1/2

That is;

\frac{n}{6}  + \frac{5n}{2} + 7 = 12 1/2

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}         ( changing 12 1/2 to improper fraction will give  \frac{25}{2} )

So we can now go ahead and solve for n

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}  

subtract 7 from both-side of the equation

\frac{n}{6}  + \frac{5n}{2}   =  \frac{25}{2}   -   7

\frac{n + 15n}{6}  =   \frac{25 -14}{2}

\frac{16n}{6}      =    \frac{11}{2}

\frac{16n}{6}  can be reduced to give us \frac{8n}{3}

\frac{8n}{3}   =   \frac{11}{2}

Cross multiply

8n × 2  = 11× 3

16n = 33

Divide both-side of the equation by 16

\frac{16n}{16}    =   \frac{33}{16}

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while  on the right-hand side of the equation 33 will be divided by 16)

n =  \frac{33}{16}     = 2\frac{1}{16}

Therefore the number is  2\frac{1}{16}

5 0
3 years ago
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