He Was Framed!: Jennifer bought a picture frame for a 4" x 6" picture of her boyfriend. The outside of the frame measures 5" x 7
". If the picture fits inside perfectly, how wide is the frame?
1 answer:
Answer:
The picture frame is 0.50 inches wide.
Step-by-step explanation:
Consider the image below.
The inner rectangle represents the image of Jennifer's boyfriend.
And the outer rectangle represents the outside of the picture frame.
The width of the picture frame can be computed by subtracting the measures of the respective sides of the two rectangles.
Compute the width using the breadths of the two rectangles as follows:
Width = (Outer Breadth - Inner Breadth) ÷ 2
= (5 inches - 4 inches) ÷ 2
= 1 inch ÷ 2
= 0.50 inches.
Compute the width using the length of the two rectangles as follows:
Width = (Outer Length - Inner Length) ÷ 2
= (7 inches - 6 inches) ÷ 2
= 1 inch ÷ 2
= 0.50 inches.
Thus, the picture frame is 0.50 inches wide.
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Given:
John had to pay a combined electric and gas bill $150.
The electric portion of the bill was $90.
To find:
The ratio of money spent on electric to that on gas.
Solution:
Let x be the amount of gas bill.
The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150. So,
The gas portion of the bill was $60.
The ratio of money spent on electric to that on gas is:
Therefore, the ratio of money spent on electric to that on gas is 3:2.