Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
How many multiple-choice questions are on the test?
3
5
12
14
Answers
m + f = 15 ---> 3m + 3f = 45
3m + 5f = 51
3m + 3f = 45
3m + 5f = 51
-------------------
-2f = -6
f = 3
m + f = 15
m = 15 - 3
m = 12
So the correct answer is 12.
Answer:
So the correct answer is 12.?
Step-by-step explanation:
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In an experiment, the probability that even A occurs is 0.2 and the probability that event B occurs is 0.5. If A and B are independent events, which statement is true?A. P(A and B) = 0.1
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C: (5+ 10i)+(- 5 - 10i) = 0+ Oi
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Answers
Answer:
The answer to 1a is B and the answer to 1b) is A.
Step-by-step explanation:
I got my answer right on the quiz. So, it's actually a lot easier than it seems. Imagine 4+2=2+4 or (8)(4)=(4)(8). That is commutative property of addition and multiplication just simper. In this case B and A are the same thing just with complex numbers.
X=-2
Y=3
Z=-1
Answers
Answers
Hey there!
7 + 3x = 22
3x + 7 = 22
SUBTRACT 7 to BOTH SIDES
3x + 7 - 7 = 22 - 7
CANCEL out3 7 - 7 because it give you 0
KEEP: 22 - 7 because it help solve for the x-value
NEW EQUATION: 3x = 22 - 7
SIMPLIFY IT!
3x = 15
DIVIDE 3 to BOTH SIDES
3x/3 = 15/3
CANCEL out3 3/3 because it give you 1
KEEP: 15/3 because it help solve for the x-value
NEW EQUATION: x = 15/3
SIMPLIFY IT!
x = 5
Therefore, the answer: x = 5
Now that we know what your x-value is.. we can substitute it in your next equation
2x
= 2(5)
= 2 + 2 + 2 + 2 + 2
= 4 + 4 + 2
= 8 + 2
= 10
5 = 5
x = 5 ☑️
Therefore, your overall answer is: x = 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I have no clue what i’m doing
Answers
Answer:
-6
Step-by-step explanation:
its just negative four plus negative two
they only put it in parentheses because they cant have both signs right next to each other
Thanks
Answers
from base of triangle to wall=a
from floor to top of ladder on wall=b
legnth of ladder=c
legnth=12=c
base is 3 feet away=a
use pythagorean theorem
a^2+b^2=c^2
3^2+b^2=12^2
9+b^2=144
subtract 9
b^2=135
square root both sides
b=√135=3√15
the height is 3√15 feet
____ rabbits last year.
Answers
Answer:
300 divided by 500 is 0.6
S is step-by-step explanation: