Mr. Dudley is writing a test for his mathematics class. The test will have true/false
questions worth 2 points each and multiple-choice questions worth 4 points each for a
total of 100 points. He wants to have twice as many multiple-choice questions as
true/false questions. How many true/false questions and multiple-choice questions will
be on the test?
Answer:
10
Step-by-step explanation:
so x=true/false questions
y=multiple-choice questions
2x+4y=100
2x=y
plug in 2x for y in the first equation
2x+4(2x)=100
10x=100
x=10
y=20
The total questions would include 10 true/false questions and 20 multiple-choice questions.
We have Mr. Dudley who is writing a test for his mathematics class. The test will have true/false questions worth 2 points each and multiple-choice questions worth 4 points each for a total of 100 points. He wants to have twice as many multiple-choice questions as true/false questions.
We have to determine how many true/false questions and multiple-choice questions will be on the test.
What do understand by Modelling of a Equation ?The modelling of equation is done to derive a mathematical relation among the terms defined in a mathematical statement.
According to the question -
Assume that the number of true/false questions be x.
Assume that the number of multiple-choice questions be y.
Then -
y = 2x
Points for each true/false questions - 2 points
Points for each multiple-choice questions - 4 points
Total points of test = 100 points
Now,
Model the equation on the basis of above information -
2x + 4y = 100
2x + 4 (2x) = 100
2x + 8x = 100
10x = 100
x = 10
Therefore -
y = 2x = 2 x 10 = 20
Hence, the total questions would include 10 true/false questions and 20 multiple-choice questions.
To solve more questions on Equation modelling, visit the link below -
brainly.com/question/689722
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in alana's math class there are 12 boys to 13 girls what is the ratio of boys to girls
Answer:
12:13
Step-by-step explanation:
The ratio of x to y is x:y
12 boys : 13 girls = 12:13
PLS GIVE BRAINLIEST
Which statement best describes a ratio
Answer: Where are the options?
Step-by-step explanation:
please help!!! Use the Pythagorean theorem to find the missing value
Answer: 1. is 50 2. is 111 3. is 26 4. is 45 and 5. is 51
Step-by-step explanation: The formula for Pythagorean theorem is A^2 plus B^2 = c^2
Sry that took so long did it wrong at first
Witch atom has 12 protons
A carbon (C)
B nitrogen (N)
C sodium (Na)
D magnesium (Mg)
Also I didn’t mean to click a answer on there
PLEASE HELP!
Identify the y-intercept and zeros of
[tex] y = {x}^{4} - 9 {x}^{2} - =3[/tex]
Algebraically
Answer:
y intercept: (0, -36)
zeros: 2 √ 3 , − 2 √ 3 , i √ 3 , − i √ 3
2 QUESTIONS FOR 6 POINTS +3 TO WHOEVER ANSWERS QUICKEST! AND THE HAVE A GOOD EXPLAINATION!
1: (THE PICTURE)
POSSIBLE ANSWERS:
Line A
Line B
Line C
Line D
2: The F-16 Fighting Falcon, a United States fighter jet, can travel 3680 miles in 4 hours. In miles per hour, what is the speed of the F-16?
POSSIBLE ANSWERS:
1. 900mph
1. 736mph
3. 460mph
4. 0.001086mph
5. None of the Above
Answer:
900mph
Step-by-step explanation:
because i calculated
Find the slope using the formula.
(-2, -8) and (4, -6)
Answer:
1/3
Step-by-step explanation:
-8 - -6 = -2
-2 - 4 = -6
-2/-6 = 2/6 = 1/3
Ben and josh went to the roof of their 40-foot tall high school
Amna wants to rent a boat and spend less than 51 . The boat costs 6 per hour, and Amna has a discount coupon for 3 off What are the possible numbers of hours Amna could rent the boat?
Answer:
9 hours or less. with a $3 off coupon she could spend up to $54. divide that by $6 per hour and that gives you a possibility of nine hours of boat rental.
An art teacher buys 4 packs of oil paints. Each pack contains 18 tubes of paint. Which equations represent the total
number of tubes of paint the teacher bought? Check all that apply.
4x 18 = 72
18 + 18 + 18 + 18 = 72
22-4 = 18
18 + 4 = 22
72 - 18 = 4
I’m
Answer: it’s answer 18+18+18+18
Step-by-step explanation:it’s basically18 times 4
Answer:
4 × 18 = 72
18 + 18 + 18 + 18 = 72
72 ÷ 18 = 4
Step-by-step explanation:
The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is the total area of the pond and the walkway, in square feet
Answer:
Area = 324 ft²
Step-by-step explanation:
Given
Length = 15ft
Walkway = 3ft
Required
Determine the area of the pond + the walkway
To calculate the required area, we need to get the total length of a side .
This is calculated by adding the length of a side of the pond and the side of the walkway
Total Length = Pond Length + Walkway
Total Length = 15ft + 3ft
Total Length = 18ft
Now, the required area can be calculated as thus:
Area = Total Length * Total Length
Area = 18ft * 18ft
Area = 324 ft²
pls help ill give brainleist
Answer:
Answer is D hope this helped u :)
Step-by-step explanation:
please answer if you can? (This is my math from 8th grade)
Answer:
40!
Step-by-step explanation:
3x+20+40=180
3x+60=180
3x=120
x=40
Answer:
b=40
Step-by-step explanation:
PLEASE HELP PICTURE ATTACHED
Answer:
x=[tex]\frac{13}{30}+i\frac{\sqrt{251}}{30}[/tex]
Step-by-step explanation:
Answer:
I do not fully understand this question so I will try to answer it the best I can.
25x^2-10x^2-13x=-7
15x^2-13x=-7
That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.
raise the product of 36 and 9 to the power of the sum of 2 and 4
Answer:
1.15683 1381 * 10^15
Step-by-step explanation:
To get the answer, first, get the product of 36 and 9
This can be obtained by multiplying 36 with 9
36 * 9 = 324
We then raise 324 to the power of the sum of 2 and 4
The sum of 2 and 4 is gotten by adding 2 to 4
So,
2 + 4=6
Therefore, 324 raised to the power of 6
= 1.15683 1381 * 10^15
Find the area of the trapezoid.
st
11 m
6 m
-
8 m
Answer:
the answer is 68
which two triangles are congruent? complete the congruence statement.
Write an equation for the proportional relationship.
(0,0) (2,8) (4,16) (5,20)
Answer:
y = 4x + 0
or
y = 4x
Step-by-step explanation:
y- intercept: 0
slope: 4x
equation: y = mx + b
y = 4x + 0 or y = 4x
The mixed number 1 7/8 can be expressed as 17/8 True False
Answer:
False
Step-by-step explanation:
1 7/8 =15/8
is this how its spelled: queue
i mean like for example "queue the music" but idk if thats how you spell queue
Answer: You're right
Step-by-step explanation:
does anyone know how to do this?
Answer:
112
Step-by-step explanation:
beacuse 180-68=112
Which equation is equivalent to the given equation?
7m + 11 = -4(2m + 3)
A. -m = = 1
B. -15 m = -23
C. -m = -1
D. 15m = -23
Please HELP
X+1=4x-2
How do u break this down??
Answer:
x+1=4x-2
Subtract x from both sides
1=3x-2
Add 2 to both sides
3=3x
Divide 3
x=1
Answer:
x+1=4x-2
-4 -4
-3x+1=-2
-1 -1
-3x=-3
x=-3÷-3
x=1
please answer the question if you can (this is 8th Grade math)
Answer:
D
Step-by-step explanation: The two angles are not equal. The alternate interior angles theorem states that if the alternate interior angles are equal when a pair of lines is cut by a transversal, the two lines are parallel. However, the two angles are not parallel, so the lines are not parallel.
Answer:
are parallel
Step-by-step explanation:
because the lines doesn't meet so it's parallel
what is the solution of the proportion 22/11 = r/13
Answer:
r=26
Step-by-step explanation:
22/11=r/13
11r=286
r=26
What is 3 to the 4th power
Answer:
3 to the 4th power is 81.
Step-by-step explanation:
You would do 3 × 3, which would get you to 9. Then, you multiply 9 × 9, which gives you 81.
One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?
Answer:
4
Step-by-step explanation:
4
(07.03)
What is the solution to the following equation? (4 points)
5(2x - 6) + 20 = 10
a
9 5
Ob
3
2
x = 2
5(2 • 2 - 6) + 20
5(2x - 6 )+ 20 = 10
10x - 30 + 20 = 10
10x - 10 = 10
+10 +10
10 / 10x = 20 / 10
x = 2
I need help with this