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
Marina CMI [18]
3 years ago
15

Mr. Martin’s math test which is worth 100 points has 29questions. Each problem is worth 2points or 5 points. X represents number

of 5point questions and y represents questions worth 2 points. X+y=29, 5x+2y=100 How many problems of each point value are on the test?
Mathematics
1 answer:
adell [148]3 years ago
3 0

Answer:there are 14 5point problems and 15 2point problems on the test.

Step-by-step explanation:

x represents number of 5 point questions and y represents questions worth 2 points.

The total number of questions in the test is 29. It means that

x + y = 29

x = 29 - y

Mr. Martin’s math test is worth 100 points. It means that

5x + 2y = 100 - - - - - - - - -1

Substituting x = 29 - y into equation 1, it becomes

5(29 - y) + 2y = 100

145 - 5y + 2y = 100

- 5y + 2y = 100 - 145

- 3y = - 45

y = - 45/-3

y = 15

x = 29 - y = 29 - 15

x = 14

You might be interested in
Joelle has $15.75. She spent $6.38 at the store.
Alborosie
X + 6.38 = 15.75<span> would be the answer 
      x=9.37
for the first option, you are not adding 15.75 and x together. 
for the second option, it is correct, because in the problem, it is giving the operation, 15.75-6.38=x. when you turn it do inverse operation, you get </span><span>x + 6.38 = 15.75. 
for the third option, it doesn't make sense and it's not doing what the problem is asking for.
for the fourth option, you are not multiplying. you are subtracting </span>15.75 by<span> 6.38 to get x.</span>
4 0
3 years ago
Read 2 more answers
32%
lisabon 2012 [21]

At least 4

10% of 12 is 1.2

So 30% is 3.6

And 1% 0.12

So 2% is 0.24


Plus 3.6 onto 0.24 and you get 3.84

4 0
3 years ago
Please please help! I'm a plato user just trying to graduate.
Komok [63]
I believe your answer is C. But I’m not completely sure!
8 0
3 years ago
3x-5y+6 how many terms are in this expression
djyliett [7]
3 terms are in the expression
7 0
3 years ago
How do you solve these equations? I don't want you to answer all of them, just tell me how to solve each type of equation on the
miss Akunina [59]

Answer:

8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)

9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.

10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)

Step-by-step explanation:

For a couple of these, it is helpful to remember that (a-b) = -(b-a).

<h3>8d.</h3>

\dfrac{5}{x+2}+\dfrac{25-x}{x^2-3x-10}=\dfrac{5(x-5)}{(x+2)(x-5)}+\dfrac{25-x}{(x+2)(x-5)}\\\\=\dfrac{5x-25+25-x}{(x+2)(x-5)}=\dfrac{4x}{x^2-3x-10}

___

<h3>9b.</h3>

\displaystyle\frac{\left(\frac{x}{x-2}\right)}{\left(\frac{2x}{2-x}\right)}=\frac{x}{x-2}\cdot\frac{-(x-2)}{2x}=\frac{-x(x-2)}{2x(x-2)}=-\frac{1}{2}

___

<h3>10b.</h3>

\dfrac{3}{x-1}+\dfrac{6}{x^2-3x+2}=2\\\\\dfrac{3(x-2)}{(x-1)(x-2)}+\dfrac{6}{(x-1)(x-2)}=\dfrac{2(x-1)(x-2)}{(x-1)(x-2)}\\\\3x-6+6=2(x^2-3x+2) \qquad\text{multiply by the denominator}\\\\2x^2-9x+4=0 \qquad\text{subtract 3x}\\\\(2x-1)(x-4)=0 \qquad\text{factor; x=1/2, x=4}

Neither solution makes any denominator be zero, so both are good solutions.

8 0
3 years ago
Other questions:
  • Convert 3 pints per second to gallons per minute
    5·1 answer
  • Drag each tile to the correct box. Not all tiles will be used.
    7·2 answers
  • 812,000 gallons of water in an olympic training center's pool. express this number in scientific notation.
    13·2 answers
  • Solve the following proportion for v. v\13 = 7\17
    7·1 answer
  • Write (27a^-9)^2/3 in simplest form
    12·1 answer
  • Help me please if your good at maths
    5·2 answers
  • HELP please.
    9·1 answer
  • At a local fitness center, gym members pay $3 per workout with an annual membership fee of $140. Non-members pay $10 per workout
    6·1 answer
  • Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's
    6·2 answers
  • Is 0.292 less than 1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!