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
lana66690 [7]
3 years ago
11

Can someone please explain

Mathematics
1 answer:
ankoles [38]3 years ago
7 0
Start by defining variables (things you don't know). Let's make:
t = number of true/false questions
m = number of multiple choice questions

Equation #1
total questions on the test (given to be 20) is then:
t + m = 20

Equation #2
Multiply the number of questions by the points it's worth to get the total points
3t + 11m = 100

Now, you can use substitution to combine the two equations.

t + m = 20
by subtracting m from both sides, equation 1# becomes..
t = 20 - m

substitute t for 20 - m in the second equation.
3(20 - m) + 11m = 100

Solve for m.
3(20 - m) + 11m = 100
60 - 3m + 11m = 100
8m = 100 - 60
8m = 40
m = 5

There are 5 multiple choice questions on the test.
Now use this to find t.
t + m = 20 
t + 5 = 20
t = 20 - 5
t = 15

there are 15 true/false questions on the test.
You might be interested in
Manny was given the equation (x+2)(x-7)=0 and asked to find the zeros. The solutions he came up with were x=2 and x=-17.
Inessa [10]

Answer:

see explanation

Step-by-step explanation:

Given

(x + 2)(x - 7) = 0 ← in standard form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

Thus the zeros are x = - 2 and x = 7

3 0
3 years ago
Does anybody know this?
dedylja [7]

Answer:

here you go , all four completed, took me some time , hipe i was able to help you out tho

4 0
2 years ago
Line segment AB was translated 2 units right and 7 units down to create line segment CD. A transversal intersects the two line s
belka [17]
These are correct statements:

<span>- Line segments AB and CD are parallel.

- </span>Since ∠1 and ∠3 are corresponding angles, they are congruent.
These are incorrect statements:

- <span>Since ∠3 and ∠4 are corresponding angles, they are congruent. They are not corresponding angles, they are supplementary meaning they, together, equal 180.

- </span><span>Since ∠1 and ∠2 are corresponding angles, they are congruent. These are also not corresponding, they are supplementary.

- </span><span>Line segments AB and CD are perpendicular. They are not crossing over each other.</span>

- <span>Since ∠1 and ∠4 are alternate interior angles, they are congruent. They are not corresponding, they are supplementary. </span><span>∠1 and </span><span>∠3 are corresponding just like </span>∠2 and <span>∠4. </span>






6 0
3 years ago
To rent a van, a moving company charges $50.00 plus $5.50 per mile. The table shows the total cost for the number of miles drive
LuckyWell [14K]
Y = 55/10x + 50 is the equation to represent this situation
5 0
3 years ago
If the zeros of f(x) are x=-1 and x=2, then the zeros of f(x/2) are
RSB [31]

Answer:

E (-2, 4).

Step-by-step explanation:

(x/2 + 1)(x/2 - 2) = 0

x/2 = -1,  x/2 = 2

x = -2, 4.

The roots will be 2 times the roots of f(x).

6 0
2 years ago
Read 2 more answers
Other questions:
  • Why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2
    6·2 answers
  • Beth says that the graph of g(x)=x-5+1 is a
    9·1 answer
  • Please help me with 5-13 please in expanded form please!!
    7·1 answer
  • (-3)^3 Evalute<br> ,,,,,,,,,,,,,,,
    9·1 answer
  • Use the model to solve for x <br><br>A) X=2<br>B) X=4<br>C) X=8<br>D) X=12 ​
    7·2 answers
  • The spoilage rate on a shipment of wheat is expected to be 20%. It was purchased at a cost of $5.35 per bushel. What should the
    5·2 answers
  • Graph the function.<br> g(x)=-1/3(x+2) (x+8)
    11·1 answer
  • This is 15 points plz help ( no links ) EXPLAIN YOUR ANSWER plz
    12·2 answers
  • Solve each system by substitution. y = -4x - 18 y = -3x - 13​
    5·1 answer
  • A linear function contains the following points: 0,-3 and 6,15.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!