Answer:
288 Cubic Inches
Step-by-step explanation:
Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.
First, do Base x Width x Height for the volume of the box.
10 inches x 3 inches x 1 foot (1 foot is 12 inches)
10 x 3 x 12 = 360
Now, take 80% of 360 cubic inches.
80% is 0.8 times a number
0.8 x 360 = 288
288 Cubic Inches
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
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<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
Her father is 81 inches tall.
Step-by-step explanation:
She is 2/3 as tall as her father so we divide her height by 2. 54/2=27 and then we multiply 27 by three to get 81 inches.
Answer:
C) The parabola is narrower and reflected across the x-axis.
Step-by-step explanation:
The original parabola has equation:

The transformed parabola has equation

How wide the graph is can be determined by the absolute value of the coefficient.
The smaller the absolute value of the coefficient, the wider the graph.
Since

The original graph is wider than the transformed graph.
Also the negative factor tells us there is a reflection in the x-axis.
True. If they never intersect then they must have the same slope and are parallel