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AVprozaik [17]
3 years ago
9

Teresa earned scores of 88, 84, 88 points and 91 points on 4 test what is the lowest score she can get on the fifth test and sti

ll finish with an average of 90 points
Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

99 points

Step-by-step explanation:

Average of a data a is the sum of the data divided by the number of data.

Average = sum of data ÷ number of data

A = T/n .....1

For the average of 5 test to be 90.

The total sum of score must be;

Number of tests n = 5

Average A = 90

Substituting into equation 1

90 = T/5

T = 90×5 = 450 points

The total score must be equal to 450 point to have an average of 90 points

The sum of the first four test is;

88+84+88+91 = 351

Let x represent the first score,

351 + x = 450

x = 450 - 351

x = 99 points

The minimum score she can get in the fifth test is 99 points

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Two mechanics worked on a car. The first mechanic to work for 5 Hours in the second mechanic work for 15 Hours. Together they ch
Butoxors [25]
<h2>Hello!</h2>

The answers is:

The first mechanic's rate is $70 per hour.

The second mechanic's rate is $110 per hour.

<h2>Why?</h2>

Let's write the given information in order to make the equations that will help us to solve this problem.

Let be "x" the first mechanic's rate and "y" the second mechanic's rate, so:

If the first mechanic worked for 5 hours and the second mechanic worked for 15 hours, and the together charged a total of $2000.

5x+15y=2000

Also, we know that the sum of the two rates was $170 per hour, so:

x+y=180

Then, isolating "x" and replacing it into the first equation, we have:

x=180-y

5(180-y)+15y=2000

900-5y+15y=2000

10y=2000-900

10y=1100

y=\frac{1100}{10}=110

So, the second mechanic's rate is $110 per hour.

Now, to calculate the first mechanic's rate we need to replace "y" into the second equation:

x+y=180\\x+110=180\\x=180-110=70

So, the first mechanic's rate is $70 per hour.

Have a nice day!

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1. Find the remainder if f(x) = 2x³ + 8x² – 5x + 5 is divided by x – 2.​
Hunter-Best [27]

Answer:

The answer to your question is 43

Step-by-step explanation:

                                 

                  2x³  + 8x² - 5x + 5 / x - 2

Process

1.- Use synthetic division

                      2   8    -5    5     2

                           4    24  38                          

                      2  12    19   43

Quotient    2x² + 12x + 19

Remainder     43

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Answer:

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Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

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