Natalie has 350 pencils. She is packing them in boxes that each hold 14 pencils. How many boxes will Natalie fill with pencils?
1 answer:
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Answer:
18¾ ft × 15 ft
Step-by-step explanation:
The dimensions of the billboard are 25 ft by 15 ft.
The dimensions of the image are 5 ft by 4 ft
Case 1.<em> Expand the length of the image to 25 ft. </em>
We have multiplied the length by five, so we must multiply the width by five.
w = 5 × 4 = 20 ft. That's too big. The image will overflow the billboard
by 5 ft.
<em>Case 2. </em><em>Expand the width of the image to 15 ft. </em>
We have multiplied the width by 15/4, so we must multiply the length by 15/4.
l = 15/4 × 5 = 75/4 = . That will fit, with 6¼ ft left over.
The expanded image will be 18¾ ft × 15 ft.
In the image below, the big rectangle represents the billboard, and the red rectangle represents the original image.
The pink rectangle represents the dilation of the original image to a width of 15 ft.
You can graph that by looking at the y-intercept first. That's where you start to put a point in the coordinate plane or graph.
So go down 1 below 0.
Next, look at the slope.
We know that y = -2x - 1 is in slope intercept form (y = mx+b)
So -2 is our slope. It will be -2/1 because we need a fraction to graph the rise over run and all whole numbers can be a fraction by making 1 as their denominator.
Look at the attachment.
Starting from -1 (y-intercept), go down 2 (-2) then right 1 (1).
To complete the line above, keep the same value and reverse their sign/symbol. So -2/1 will be 2/-1. It goes up 2 then left 1.
I hope you understand and find this answer the most helpful! :)
So go down 1 below 0.
Next, look at the slope.
We know that y = -2x - 1 is in slope intercept form (y = mx+b)
So -2 is our slope. It will be -2/1 because we need a fraction to graph the rise over run and all whole numbers can be a fraction by making 1 as their denominator.
Look at the attachment.
Starting from -1 (y-intercept), go down 2 (-2) then right 1 (1).
To complete the line above, keep the same value and reverse their sign/symbol. So -2/1 will be 2/-1. It goes up 2 then left 1.
I hope you understand and find this answer the most helpful! :)