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bekas [8.4K]
3 years ago
9

After 5 tests Dara's average score was 88 what score must she average on the next two tests to have a seven-test average of 90?

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

After 5 tests, her average was 88. To have a seven-test average of 90, the total must be:

90 \times 7 = 630

Her average after 5 tests was 88. Her total score on the 5 tests is:

88 \times 5 = 440

Subtract:

630-440 = 190

Find the average by dividing by 2:

190 \div 2 = 95

Her average must be 95

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Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor
Ilya [14]

Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

M=0.4x

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

M=0.5x

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

5 0
3 years ago
When plotting points on the coordinate plane below, which point would lie on the x-axis?
nordsb [41]
If you plot the points you can easily find the answer. (X,Y) The x-axis is the horizontal line and the y-axis is the vertical line.

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3 years ago
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A group of 31 friends gets together to play a sport. First, people
Umnica [9.8K]

The number of teams she can make is 10.

<h3>How many teams can she make?</h3>

Division is the process of putting a number into equal groups using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. Other basic mathematical operations include addition, subtraction, multiplication.

The number of teams that can be made can be determined by dividing the total number of friends by the total number of players in each team. The whole number that is derived from the division process is the number of teams teams that can be made given the total number of friends and the number of people that have to be in each group.

Number of teams she can make = total number of friends / number of people in each group

31 / 3 = 10 remainder 1

So, only 10 teams can be made. one person would not be on any team.

To learn more about division, please check: brainly.com/question/13281206

#SPJ1

5 0
2 years ago
What is 9x+3=21<br> What is the value of x=
valentinak56 [21]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
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Question is attached below help asap
riadik2000 [5.3K]

Your answer is 19 I think
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