A test has twenty questions worth 100 points. The test consists of True False quedo points each and multiple choice questions worth 11 pointeach This system of equations
used to find how much of each question type he has
x 20
3. Ily=100
Where r represents the number of true false questions and y represents the multiple there
questions. The solution to the system is (15,5). What does this solution represent?

There are 5 multiple choice questions

Step-by-step explanation:

No of questions = 20

A test has 20 questions worth 100 points.

The test consists of True False question worth 3 points each and multiple choice questions worth 11 points each.

Let r represents the number of true false questions and y represents the multiple choice questions.

ATQ,

x+y = 20 (1)

3x+11y = 100 (2)

We need to find the number of questions of each type.

Multiply equation (1) by 3.

3x + 3y = 60 ...(3)

Subtract equation (2) from (3).

3x + 3y - (3x+11y) = 60-100

3x+3y-3x-11y = -40

-8y = -40

y = 5

Put the value of y in equation (1)

x+5=20

x = 15

The solution to the system is (15,5). Hence, there are 5 multiple choice questions and 15 true/false questions.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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