Answer:
64
Step-by-step explanation:
16/100 = x / 400
Cross multiply:-
100x = 16*400
x = 6400 / 100
= 64
Answer: All of the numbers in the sequence are going up twice the amount as before. The next three terms will be 208, 416, 832
Lets go step by step and factor out each as we go
first lets factor out a 3 since 3 is common in 9 and 3
3(3ab^2 - abc)
now lets factor out a since its common in both
3a(3b^2 - bc)
now lets factor out a b since its common in both
3ab(b - c)
we can't factor anything else out so we are done.
Answer: 10 ¹/₂ miles per gallon
Step-by-step explanation:
The gas mileage of the camper refers to the distance (in miles for this question) that the camper can travel on 1 gallon of gas.
The camper can travel 3¹/₂ miles on ¹/₃ gallons so the mileage is:
= Distance traveled/ Gallons used
= 3¹/₂ ÷ ¹/₃
= 7/2 * 3/1
= 21 / 2
= 10 ¹/₂ miles per gallon
Step: Solvey=2x+6for y:
y=2x+6
Step: Substitute2x+6foryin3y=x−2:
3y=x−2
3(2x+6)=x−2
6x+18=x−2(Simplify both sides of the equation)
6x+18+−x=x−2+−x(Add -x to both sides)
5x+18=−2
5x+18+−18=−2+−18(Add -18 to both sides)
5x=−20
5x/5=−20/5
(Divide both sides by 5)
x=−4
Step: Substitute−4forxiny=2x+6:
y=2x+6
y=(2)(−4)+6
y=−2(Simplify both sides of the equation)
Answer:
x=−4 and y=−2
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