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mixer [17]
3 years ago
5

3. A test has 20 questions worth 100 points total. The test consists of True/False questions worth 4 points each and multiple ch

oice questions worth 8 points each
C. Solve the system to determine how many questions of each type there are on the test. You may use any method, but you must show your work.
Mathematics
2 answers:
Aleks [24]3 years ago
7 0

Answer:


x+y=20

4x+8y=100

x=-2y+25

x=-y+20

-2y+25=-y+20

-y=-5

y=5

x=15

There are 15 true/false questions and 5 multiple choice questions



Cerrena [4.2K]3 years ago
3 0
X+y=20
4x+8y=100
x=-2y+25
x=-y+20
-2y+25=-y+20
-y=-5
y=5
x=15
There are 15 true/false questions and 5 multiple choice questions

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Help help help help help
Mkey [24]

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

5 0
2 years ago
Please help will mark brainliest!!!
adell [148]

Answer:

y = 6

Step-by-step explanation:

Its going by 6's

4 0
3 years ago
Please can you give me some facts on percentages other than how to work them out???
MariettaO [177]
Say your test is out of 100 and you 75 correct to calculate your percent you would go

75/100*100

/ = Divide
* = Times
4 0
3 years ago
Read 2 more answers
an artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. the width of the lake is 1/5 the length o
Gnom [1K]
X=length
y=width
Area (rectangle)=length x width
we suggest this system of  equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2   it does not validate
x₂=3/2    ⇒y=x/5=(3/2)/5=3/10

The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles

to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒  3/10 miles=(3/2) /5 miles

7 0
3 years ago
Jeremy wants to give a 20% gratuity to his cab driver. His fare is $35.50. What is the total amount he will pay the driver?
Mandarinka [93]

Answer: $42.60

Step-by-step explanation:The 20% of $35.50 is $7.10. Then, you add $7.10 to $35.50, that will be $42.60.

3 0
3 years ago
Read 2 more answers
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