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tresset_1 [31]
3 years ago
15



Mathematics
1 answer:
pashok25 [27]3 years ago
8 0
To answer this, set up a system of equations. What we know is that

5x + 2y = 100
And...
x+y=38

x represents the unknown number of 5 points questions
y represents the unknown number of 2 point questions

In my opinion the easiest way to solve this is to use substitution (that is when you find out the value of one variable, either x or y, and substitute that value as the variable).

So,

x+y=38

Subtract x from both sides

y=38-x

Now, plug (38-x) in as y in the other equation.

5x + 2(38-x) = 100
5x + 76-2x= 100
3x+76=100
3x=24
x=8

Now that you know that x=8, you can solve for y.

5x+2y=100
5(8)+2y=100
40+2y=100
2y=60
---- ------
2 2
y=30


X=8
Y=30

There are 8 five point questions on the test and 30 two point questions on the test

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Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.
Finger [1]

Answer:

step 3

Step-by-step explanation:

he should have subtracted 9 to the outside.

whatever you do to the inside you must do to the opposite to the outside

so your final form must be -7(x-3)^2 + 8

8 0
2 years ago
Select the correct properties of slope below.
Alinara [238K]
<span>A. Lines that go up from left to right should have a positive slope.
B. Lines that go down from left to right should have a negative slope.
</span><span>D. The slope of a steep line should be bigger than the slope of a flat line.
E. The slope of a steep line should be smaller than the slope of a flat line.</span>
3 0
4 years ago
Please help. Thank you!
Makovka662 [10]

Answer: See explanation

Step-by-step explanation:

By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.

Triangle inequality: 1 < x < 7

Hope that helped!

3 0
3 years ago
If y varies directly with x when y=8,x=20 find the value of x when y=42
Alecsey [184]

The value of x is 105 when y=42

Step-by-step explanation:

A direct proportion means that the change in one quantity will also cause the change in other quantity

Given

y varies directly with x

x ∝ y

when the proportionality symbol is removed a proportionality constant is introduced

x=ky\\k=\frac{x}{y}\\Putting\ y=8\ and\ x=20\\k=\frac{20}{8}\\k = \frac{5}{2}\\So,\ the\ equation\ will\ be\\x=\frac{5}{2}y\\Putting\ y=42\\x=\frac{5}{2}*42\\x=5*21\\x= 105

The value of x is 105 when y=42

Keywords: Proportion, Direct variation

Learn more about proportion at:

  • brainly.com/question/3398261
  • brainly.com/question/3614284

#LearnwithBrainly

5 0
3 years ago
9 1/2 gallons equals how many quarts
Leni [432]
38 quarts because four quart equals  one gallon.
3 0
4 years ago
Read 2 more answers
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