To find out the answer,we can test it out one by one:
The original expression: 6×(2+8)=60
A. 6x(8+2)= 6x10 = 60✅
B. (6×2)+8 = 24+8 = 34
C. (8+2)x6 = 10×6 = 60✅
D. 6x2÷6×8 =12÷6×8 = 2×8 = 16
As A. and C. equals to the original expression, the answer is A. and C.
R= $42 rental cost per day
Mileage= $0.20 per mile
m= number of miles driven
Budget= $98 per day
EQUATION
$98> $0.20m + $42
SOLUTION
$98> $0.20m + $42
subtract 42 from both sides
$56> $0.20m
divide both sides by $0.20
280> m
They have to drive less than 280 miles per day to stay within their $98 budget.
SAME SOLUTION INEQUALITIES
Set up the equations with new numbers, substitute 280 for m and pick another variable to solve for. I chose to solve for total rental cost.
m= 280 miles per day
R= Rental cost per day
R> $0.10(280) + $50
R> $28 + $50
R> $78
Equation #1
$78> $0.10m + $50
----------
m= 280 miles per day
R= Rental cost per day
R> $0.18(280) + $44
R> $50.40 + $44
R> $94.40
Equation #2
$94.40> $0.18m + $44
ANSWER: 280> m; They have to drive less than 280 miles per day to stay within their $98 budget.
Equation #1: $78> $0.10m + $50
Equation #2: $94.40> $0.18m + $44
Hope this helps! :)
Answer:
n < -9
Step-by-step explanation:
<u>Divide both sides by -4, like so:</u>
-4n > 36
n > -9
<u>However, anytime you multiply/divide the inequality by a negative number, you </u><u>must</u><u> flip the sign around, like so:</u>
n < -9
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
Answer:
Step-by-step explanation:
The square base of each prism has a side length of 18 inches. The height of each prism, h, can be found using the function, where V is the volume of the prism.
So, V = 18² × h = 324h
⇒ h = 
.......... (1)
Now, given that the total height of the box, b, can be found using the function b(h) = xh, where x is the number of square-based prisms in a specific box.
Therefore, the box having 4 square prism will have height
b(h) = 3h
⇒ b(V) = 
{From equation (1)}
⇒ (Answer)
