A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? A] The test contains 4 three-point questions and 20 five-point questions. B]The test contains 10 three-point questions and 14 five-point questions. C]The test contains 14 three-point questions and 10 five-point questions. D]The test contains 20 three-point questions and 8 five-point questions.
Answers
Answer:
B. The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Let us first find the solution to the system of equations.
x+y= 24
3x+5y= 100
We use substitution method.
x=24-y
Replacing the value of x in the second equation.
3(24-y)+5y=100
Then solve for y.
72-3y+5y=100
2y=100-72
2y=28
y=14
To find x let us replace the value of y in x=24-y
x=24-14
x=10
This means that the test has 14 five-point questions and 10 three point questions.
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Ann's car can travel 228 miles on 6 gallons of gas. a. Write an equation to represent the distance, y, in miles Ann's car can travel on x gallons of gas. b. Ann's car used 7 gallons of gas during a trip. How far did Ann drive?
Nat spent $28 on 8 DVDs. At this rate, how much would 5 DVDs cost? What is the unit rate?
Graph the follow in equation
Find the geometric mean of 4 and 12.
Answers
The scale of model is 3 inches = 50 feet
Step-by-step explanation:
Given,
Height of Empire state building = 1250 feet
Height of model of building = 75 inches
Therefore;
75 inches = 1250 feet
We will divide the height in feet with the height in inches to determine the scale of model.
1 inch =
1 inch =
Multiplying both sides by 3
The scale of model is 3 inches = 50 feet
Keywords: ratio, division
Learn more about ratio at:
#LearnwithBrainly
Answers
The solution to the equation 2(12 - 8x) = x - 11x is x = -4.
To solve the equation 2(12 - 8x) = x - 11x, we can simplify and solve for x by following these steps:
Distribute the 2 to the terms inside the parentheses:
24 - 16x = x - 11x
Combine like terms on the right side of the equation:
24 - 16x = -10x
Bring all the x terms to one side of the equation:
-16x + 10x = -24
-6x = -24
Divide both sides of the equation by -6 to isolate x:
x = 24 / 6
Simplifying the division, we get:
x = 4
Therefore, the solution to the equation 2(12 - 8x) = x - 11x is x = -4.
By performing the necessary operations of distribution, combining like terms, and solving for x, we have determined that -4 satisfies the equation. Substituting x = -4 back into the original equation confirms that both sides are equal.
To learn more about the equation;
#SPJ6
1.
(3 pt)
What are the domain and the range of the relation?
{(−4, 3), (0, −10), (6, −6), (7, 0), (9, −5), (13, −2)}
Choose exactly two answers that are correct.
A.
domain: {−10, −6, −5, −2, 0, 3}
B.
domain: {−4, 0, 6, 7, 9, 13}
C.
range: {−10, −6, −5, −2, 0, 3}
D.
range: {−4, 0, 6, 7, 9, 13}
Answers
Answers
Answer:
28.26
Step-by-step explanation:
I got i right on im
Answers
-Amanda
Answers
This has a lot of scary words and numbers in it, but it's all just fluff.
That big ugly formula is nothing but numbers, except for the 'h' in it
near the end. When you write your altitude in place of 'h' and push
all the numbers through your calculator, the answer is the air pressure
at that altitude.
All it's asking you to do is this:
-- Write ' 100 ' into the big formula.
-- Run all the numbers through the calculator and get the pressure at 100 meters.
-- Then write ' 1000 ' into the formula.
-- Run the whole thing through the calculator again, and see what
the pressure is at 1,000 meters.
-- Subtract, and see how much the pressure changed between 100 meters
and 1,000 meters.
You want to know what I think the whole idea is here ? I think the whole idea
is to get you to decide which things to do first as you calculate the formula,
AND to give you practice in using your calculator to do weird stuff.
In the formula, I see a power, a set of parentheses, two multiplications, and
one subtraction. You have to decide what order to do them in. And THEN,
you have to figure out how to do them all with your calculator.
Here's the order:
-- Inside the parentheses, multiply 2.25577x 10⁻⁵ by 'h' .
-- Inside the parentheses, subtract the result from ' 1 '.
-- Take the number inside the parentheses, and raise it to the 5.25588 power.
-- Then multiply the result by 101,325 .
For 100 meters altitude, the pressure you should get is 100,129 pascals.
Make sure you can get that with your calculator when you put '100' in place
of 'h'. And then, when THAT works, do it with 1,000 in place of 'h'.
The number you get for 1,000 meters should be about 10,254 pascals less.