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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.
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Read 2 more answers
PLS HELP ASAP calculate the distance between the two points. (18, -24) & (87, 100)
GarryVolchara [31]

Answer:

<h3>The answer is 141.90 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(18, -24) & (87, 100)

The distance between them is

d =  \sqrt{ ({18 - 87})^{2} +  ({ - 24 - 100})^{2}  }  \\  =  \sqrt{ ( { - 69})^{2}  + ( { - 124})^{2} }  \\  =  \sqrt{4761 + 15376}  \\  = \sqrt{20137}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 141.90489773...

We have the final answer as

<h3>141.90 units</h3>

Hope this helps you

5 0
3 years ago
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