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TEA [102]
3 years ago
12

Your math teacher tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth

2 points each and word problems are worth 5 points. How many of each type of question are there?​

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100

If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100

Now if we add both equations we get only equation with 1 unknown (y) :

3y = 24 ⇒ y = 8

Substituting the calculated value to the first equation we get:

x + 8 = 38 ⇒ x = 30

The solution:
{ x = 30
{ y = 8

means that:
The test had 30 multiple choice questions, and 8 word problems.
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Olenka [21]
The answer is c because he begins at 3 points. He then loses 9. So subtract 9 from 3 and you end up with -6
8 0
3 years ago
Data on the number of work days missed and the annual salary increase for a company’s employees show that, in general, employees
KengaRu [80]

Answer:

Step-by-step explanation:

Correlation describes how strongly pairs of given variablé are related. In this case, a detailed analysis that was carried out shows that the number of days missed by employees explains 60% of the variation in salary increases and also impressed upon this fact that employees who missed more days of work during the year received smaller raises than those who missed fewer days.

From the analysis, we can draw a conclusion that there is a correction between days missed and variation in salary increase and that this type of correction is a negative correlation where an increase in the number of days missed will lead to a decrease in the raises awarded to each employee.

6 0
3 years ago
A toy manufacturer wants to minimize her cost for producing two lines of toy airplanes. Because of the supply of materials, no m
andrey2020 [161]
Since Flying Falcon cost($8) is cheaper than Flying Bat($12), then the minimum possible cost each day would be the maximum possible Flying Falcon produced.
The maximum flying falcon produces is 60/day. Then, the amount of flying bat produced would be:

total= falcon + bat
70= 60+bat
bat= 70-60= 10

The minimum possible cost: falcon * falcon_cost + bat * bat_cost = 60*$8 + 10*$12 = $480+$120= $600
8 0
3 years ago
Solve for d. <br> 4−d &lt; 4+d<br> a. d &gt; 8<br> b. d &gt; −8<br> c. d &gt; 0<br> d. d &gt; −4
jeyben [28]

Solve for d: by simplifying both sides of the equation, then isolating the variable.

C. d>0

7 0
3 years ago
Clarke borrows $16000 to buy a car he pays simple interest at an annual rate of 6% over a period of 3.5 years how much does he p
uranmaximum [27]
<span>Clarke borrows $16000 to buy a car he pays simple interest at an annual rate of 6% over a period of 3.5 years how much does he pay all together?
Let’s calculate
=> 16 000 dollars is the amount he borrowed
=> 6% is the annual interest
=> 3.5 years us the total years that he will be paying it.
Solutions:
=> 16 000 dollars * .06 = 960 dollars is the annual interests
=> 960 * 3.5 = 3 360 dollars for 3.5 years
=> 16 000 + 3 360 = 19 360 dollars

</span>



4 0
3 years ago
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