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devlian [24]
3 years ago
14

Stephen earned scores of 88 points, 94 points. 89 points, and 85 points on four tests.

Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

answer

94

set up equations

average = total points / number of tests

total points = test1 + test2 + test3 + test4+ test5

total points = 88 + 94 +89 + 85 + test5

total points = 356 + test5

plug total points into first eqation and rearrange

average = total points / number of tests

average = (356 + test5)/number of tests

average * number of tests = 356 + test5

test5 = average * number of tests - 356

plug in values for average and number of tests

test5 = average * number of tests - 356

test5 = 90 * 5 - 356

test5 = 94

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Answer:

(2,1)

General Formulas and Concepts:

Order of Operations: BPEMDAS

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Step-by-step explanation:

<u>Step 1: Define points</u>

J (4, 6)

K (0, -4)

<u>Step 2: Find midpoint</u>

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Below

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8 0
3 years ago
Can someone please explain
ankoles [38]
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.
7 0
3 years ago
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