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marshall27 [118]
2 years ago
8

Jackie ordered a set of wood and metal clothes pins. Of the 276 pins, 172 were wood. What percentage of the clothes pins were me

tal? Round to the nearest hundredth.
Mathematics
1 answer:
timurjin [86]2 years ago
8 0

We know that 172 of them were wood, so the rest are metal. To find that number we do:

276 - 172 = 104 metal pins.

To find the percentage that they were metal, take the number of metal pins and divide by the total number of pins:

104/276 is about 0.3768.

Multiply this by 100:

37.68

So, the percent of metal pins is 37.68%.

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Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his
Semmy [17]

Answer:

702 emails

Step-by-step explanation:

<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>

Given data

Average personal emails received monthly = 780 emails

Average work emails received monthly= 760 emails

     

      We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.

      After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.

let us solve for 10% depreciation.

depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails

The new number of mails

= initial number of mail- depreciation\\ =780-78= 702 emails

Joe will be receiving an average of 702 emails in his personal account monthly

7 0
2 years ago
Use the points (2, 45) and (8, 90) to find the slope and y-intercept of the trend line for the data comparing hours studied to t
NARA [144]

Answer:

m= 7.5

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Step-by-step explanation:

4 0
2 years ago
Can you simplify before multiplying 14×25/27​
castortr0y [4]

Answer:

No.

Step-by-step explanation:

You can not simplify this expression before multiplying it, because no whole numbers go into both 14 and 27, and also no whole numbers go into both, 25 and 27. This is the correct answer to this question.

Hope this helps!!!

Kyle.

5 0
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If cos Θ = square root 2 over 2 and 3 pi over 2 &lt; Θ &lt; 2π, what are the values of sin Θ and tan Θ?
KIM [24]

Answer:

The answer is

sin(\theta)=-\frac{\sqrt{2}}{2}

tan(\theta)=-1

Step-by-step explanation:

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

sin^{2}(\theta)+cos^{2}(\theta)=1

In this problem we have

cos(\theta)=\frac{\sqrt{2}}{2}

\frac{3\pi}{2}

so

The angle \theta belong to the third or fourth quadrant

The value of sin(\theta) is negative

Step 1

Find the value of  sin(\theta)

Remember

sin^{2}(\theta)+cos^{2}(\theta)=1

we have

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

sin^{2}(\theta)+(\frac{\sqrt{2}}{2})^{2}=1

sin^{2}(\theta)=1-\frac{1}{2}

sin^{2}(\theta)=\frac{1}{2}

sin(\theta)=-\frac{\sqrt{2}}{2} ------> remember that the value is negative

Step 2

Find the value of tan(\theta)

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=-\frac{\sqrt{2}}{2}

cos(\theta)=\frac{\sqrt{2}}{2}

substitute

tan(\theta)=\frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}

tan(\theta)=-1

8 0
2 years ago
Read 2 more answers
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