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Darina [25.2K]
3 years ago
10

Jerome takes a math course and a science course for summer school. For every 3 hours Jerome spends studying math, he studies sci

ence for 2 hours. If Jerome spent a total of 25 hours studying last week, then how long did he study math?
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

he studies his math for 15 hours

Step-by-step explanation:

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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb
Ugo [173]
To answer this item, we take the differential of the equation and equate to zero.
 
                  C(x) = 0.8x² - 256x + 25939

Differentiation,
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                 dC(x) = 1.6x - 256 = 0

The value of x from the derived equation above is 160. 

Thus, the number of machine to be made in order to minimize the cost should be 160. 
4 0
3 years ago
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Given that cos (x) = 1/3, find sin (90 - x)
ddd [48]

Answer:

\sin(90^{\circ} - x)=\frac{1}{3}

Step-by-step explanation:

Given: \cos (x)=\frac{1}{3}

We have to find the value of \sin(90^{\circ} - x)

Since Given \cos (x)=\frac{1}{3}

Using trigonometric identity,

\sin(90^{\circ} - \theta)=\cos\theta

Thus, for  \sin(90^{\circ} - x) comparing , we have,

\theta=x

We get,

\sin(90^{\circ} - x)=\cos x=\frac{1}{3}

Thus, \sin(90^{\circ} - x)=\frac{1}{3}

3 0
3 years ago
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Find 5 rational numbers between 3/5 and2/3​
Novay_Z [31]

Answer:

The 5 rational are 91/150 , 92/150 , 93/150 , 94/150 , 95/150

Step-by-step explanation:

We have to fine 5 rational numbers between

3/5 and 2/3

First we have to make the denominator same

3/5= 3/5 ×3/3 = 9/15 =9/15×10/10 =90/150

2/3 = 2/3×5/5 = 10/15 = 10/15×10/10 = 100/150

The 5 rational numbers are

91/150 , 92/150 , 93/150 , 94/150 , 95/150

hope this helps :)

3 0
3 years ago
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sp2606 [1]

Answer:

8

Step-by-step explanation:

4^3/2^3

(4^3)/(2^3)

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64/8 = 8

7 0
3 years ago
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You could collect 485 customers comment cards, 220 online surveys, and 123 surveys from people passing in front of the restauran
aliina [53]

Answer:799

Step-by-step explanation: all you have to do is add all the the numbers up and you’ll get 799

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