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
guapka [62]
3 years ago
6

A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of eac

h points value are on the test
Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
5 0
Let x be the number of 5 points question.
Let y be the number of 2 points question.

Total number of questions is 38
x + y = 38 

Total points is 100
5x + 2y = 100

x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)

From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8

There are 8 5-point questions and 30 2-point questions
aleksklad [387]3 years ago
3 0

Let x be the number of 5 points question.

Let y be the number of 2 points question.


Total number of questions is 38

x + y = 38 


Total points is 100

5x + 2y = 100


x + y = 38 ------------- (1)

5x + 2y = 100 ---------(2)


From (1):

x + y = 38

x = 38 - y -------------- sub into (2)

5(38 - y) + 2y = 100

190 - 5y + 2y = 100

3y = 90

y = 30 ------------------ sub into (1)

x + 30 = 38

x = 38 - 30

x = 8


There are 8 5-point questions and 30 2-point questions

hope this helps you

You might be interested in
she sells 6adult tickets and 5 children tickets on the first day totaling $112.50 and on the second day she sells 8adult tickets
Leya [2.2K]

Answer:

Cost of adult ticket = $12.5

Cost of child ticket = $7.5

Step-by-step explanation:

Given:

Cost of 6 adult ticket and 5 child ticket = $112.5

Cost of 8 adult ticket and 4 child ticket = $130

Find:

Equation and solution

Computation:

Assume;

Cost of adult ticket = a

Cost of child ticket = b

So,

6a + 5b = 112.5....eq1

8a + 4b = 130 ......eq2

Eq2 x 1.25

10a + 5b = 162.5 .....eq3

eq3 - eq1

4a  = 50

Cost of adult ticket = $12.5

8a + 4b = 130

8(12.5) + 4b = 130

Cost of child ticket = $7.5

7 0
3 years ago
Which shows the first step in the solution to the<br> equation log₂x + log₂(x - 6) = 4?
iren [92.7K]

log was used calculate big numbers before calculators

log is a re-arranged way to show a number with an exponent

example

log₂ 16 = 4 means 2^4 = 16

logx(Z) = y means x^y=Z

log(x-6)/log(2) + log(x)/log(2) = 4

(log(x-6)+ log(x))/log(2) = 4

(log(x-6)+ log(x)) = 4log(2)

(log(x-6)x) = log(16)

x=8

6 0
1 year ago
Is 60.43 an irrational number
zhuklara [117]

Answer:

No, It is rational

Step-by-step explanation:

An number with a finite number of decimal point/numbers can be rational unlike numbers that repeat on forever like the number pi

4 0
2 years ago
∠EFG and ∠GFH are a linear​ pair, m∠EFG=3n+19, and m∠GFH=55+33 What are m∠EFG and m∠​GFH?
romanna [79]
A linear pair is a pair of angles that form a straight line and are therefore, equal to 180 degrees

3n + 19 + 55 + 33 = 180
3n + 107 = 180
3n = 180 - 107
3n = 73
n = 73/3 


so < EFG = 3n + 19 = 3(73/3) + 19 = 73 + 19 = 92
and < GFH = 55 + 33 = 88
5 0
3 years ago
Find the surface area of the figure.
Darina [25.2K]
B, 224in2

It may get tedious but just find the area of each face and write them down
4 0
3 years ago
Other questions:
  • Am getting the hang of this but I still need help so may I please get help with this equation -7a+6a^2-10
    10·2 answers
  • Simplify (t^2-25)/(t^2+8t+15)/(t-5/t+9)
    8·1 answer
  • What’s |z-15|+5c+j z=10 c=-2 j=-4
    9·1 answer
  • Find the area of the triangle. 294 m2 367.5 m2 490 m2 980 m2
    10·1 answer
  • The temperature increased 3 degrees per hour for 10 hours. How many degrees did it
    11·2 answers
  • The Smiths want to fence their square garden, which has an area of 289 square feet. What would be the minimum amount of fencing
    15·1 answer
  • Help me plzzz I’ll mark Brainly!!!
    7·1 answer
  • Name the ordered pair for the point
    10·1 answer
  • In A. P. 0,-4,-8,-12....... next term will be : <br>plz answer right now plz ​
    7·2 answers
  • Choose what the expressions below best represent within the context of the word problem.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!