1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.
You might be interested in
Eliminate the bolded term y-10=30​
Rina8888 [55]

Answer:

y = 40

Step-by-step explanation:

y-10=30

y=30+10

y=40

7 0
3 years ago
Read 2 more answers
It takes 12 hours for 7 men to paint a room.
dangina [55]

28 men are needed to paint the room in 3 hours

<h3><u>Solution:</u></h3>

Given that it takes 12 hours for 7 men to paint a room

We are asked to find number of men required to paint the room in 3 hours

Recognize, "paint the room" is 1 task. One job.

7 men -------- 12 hours ------ 1 job

(7/7) = 1 men ------- 12 x 7 (84)  ------- same 1 job

The one men is rate is 84 hours to do the job

We can express this as 1/84 jobs per hour, the one-person rate

Now lets find how many men needed to paint the room in 3 hours

Let the required number of men for 3 hours be "a"

The rates of each person is simply additive.

a \times \frac{1}{84} \times 3 = 1

corresponds to rate x hours = jobs and "a" is a variable for how many men

a \times \frac{1}{28} = 28

Thus 28 men are needed to paint the room in 3 hours

4 0
3 years ago
A . expression A
yan [13]

Answer:

answer choice B.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Pleaeseee help on this probability question
crimeas [40]

there are 4 eggs total 3 plain and 1 gold

so you have a 1/4 probability of picking the gold egg

4 0
3 years ago
Suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shad
inn [45]

Answer:

94%

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • G find the probability that the winner won the gold medal, given that the winner was from the united states.
    14·1 answer
  • A piecewise function f(x) is defined as shown. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x
    13·2 answers
  • Rajah has with his parents?
    9·2 answers
  • Mrs. Thornton is teaching a 5th grade class. She is standing 15 meters in front of Hillary. Avisha is sitting 8 meters to Hillar
    8·1 answer
  • Brandon bought 21 chicken wings for $39.90. How much would it cost for 15 wings?
    14·1 answer
  • Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she paid for each
    13·1 answer
  • Use any model you choose to solve the story problem. The band director is splitting 1/4 of the band into 4 equal rehearsal group
    10·2 answers
  • Triangle T was dilated to form triangle T'. Which ratio is the correct scale factor?
    14·2 answers
  • The perimeter of the rectangle is 56 cm. Find the value of x.<br> 10 cm<br> 3x cm
    12·2 answers
  • If Belinda wants to earn AT LEAST $400 profit (money earned after her expenses), how many pies does she need to sell?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!