Answer:
x=9 and y=3
Step-by-step explanation:
Let's solve your system by substitution.
−4x+6y=−18 and y=−2x+21
Rewrite equations:
y=−2x+21;−4x+6y=−18
Step: Solve y=−2x+21for y:
y=−2x+21
Step: Substitute−2x+21foryin−4x+6y=−18:
−4x+6y=−18
−4x+6(−2x+21)=−18
−16x+126=−18(Simplify both sides of the equation)
−16x+126+−126=−18+−126(Add -126 to both sides)
−16x=−144
−16x
−16
=
−144
−16
(Divide both sides by -16)
x=9
Step: Substitute9forxiny=−2x+21:
y=−2x+21
y=(−2)(9)+21
y=3(Simplify both sides of the equation)
Answer:
x=9 and y=3
She worked 2 and 1/2 hours yesterday, and today she did 4 and 1/4 hours.
first off, let's check how many hours she worked total, and divide 54 by it.
so, first off, let's convert the mixed fractions to "improper" and add them up.
Answer:
C
Step-by-step explanation:
The answer is going to be miles per quart. So B is wrong.
12 gallons allows you to travel 192 miles
1 gallon permits 192 / 12 = 16 miles / gallon. (Must be a truck of some kind).
1 gallon permits 16 miles of driving.
4 quarts (in 1 gallon) permits 16 miles of driving.
1 quart gives 16/4 = 4 miles / quart.
The answer is C.
==========================
There is a slightly shorter way
12 gallons contains 12 * 4 quarts = 48 quarts.
48 quarts permit 192 miles
1 quart permits 192/48 = 4 miles
4miles / quart.
The answer is still C
Answer:
See Below
Step-by-step explanation:
Ok, so in this problem you have some vertical angles. These are angles oppisites from each other. Therefore; d = 52, f = ?, and e = 77. All the angles added together will = 360. Let's add up the angles we know and subtract the whole from 360.
52 + 52 + 77 + 77 = ?
104 + 154 = 258
360 - 258 = 102
Since we know that f and the unlabeled angle are the same, we need to divide this total between the two of them.
102/2 = 51
Therefore;
d = 52
e = 77
f = 51
Answer:
n = 1500
Step-by-step explanation:
The sample size is the number of students that were asked
n = 1500
