URGENT!!!! Set up proportions for each variable and solve!!! I have a test tomorrow and have no clue how to do proportions!
1 answer:
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Answer:
y = (5/2)x + 4
Step-by-step explanation:
We'll look for an equation in the format y = mx + b, where mn is the slope and b the y-intercept (the value of y when x = 0).
y = mx + b
m is (5/2)
y = (5/2)x + b
We need a value of b that will force the line through point (-2,-1). Enter the point (-2,-1) in the equation and solve for b:
y = (5/2)x + b
-1 = (5/2)(-2) + b
-1 = -5 + b
b = 4
<u>The equation is y = (5/2)x + 4</u>
See attached image.
Answer:
When six guests choose cheesecake and eight choose apple pie, the ratio is 6:8. If we use the same prompt but change 6 to 3 and change 8 to 4, the ratio becomes 3:4 with the pie graph looking exactly the same.
6:8 comes out to a total of 14 people
and 3:4 comes out to a total of 7 people
The two ratios are equivalent due to the graphs looking exactly the same as well as that 14 is double of 7.
Step-by-step explanation:
Answer:
The length is no more than 56 inches.
The volume of the box is 8064 cubic inches.
Step-by-step explanation:
Given : A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in. One volume that meets this condition is contained by a box with a square end 12 in. on each side.
To find : What is the length of the box? What is the volume?
Solution :
A square end 12 inch on each side.
Then the girth of the box is given by,
The girth of the box is 48 inches.
A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in.
So,
The length is no more than 56 inches.
The maximum volume of such a box would be,
B = area of the base (or end) of the box,
So,
The volume is
Therefore, The volume of the box is 8064 cubic inches.