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Crank
3 years ago
9

At the beginning of 5th grade, Stephen was 48 inches tall. At the beginning of 8th grade he was 65 inches tall.

Mathematics
2 answers:
JulsSmile [24]3 years ago
6 0

Answer:

35.42%

Step-by-step explanation:

tatiyna3 years ago
6 0

Answer:

C. 35.42%

Step-by-step explanation:

65 - 48 = 17

Since he grew 17 inches, you must figure out what percentage 17 is of 48.

17/48 = 1/100 (represents decimal)

Cross multiply: 17 ⋅ 100 = 1700 and 48 ⋅ 1 = 48

Divide: 1700/ 48

= 35.41666666666667

Round to the nearest hundredth:

= 35.42

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Answer:

the x- intercept is 1

the y-intercept is 2

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3 years ago
1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the
Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1).  First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4.  Using point-slope form,

y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2.  To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2.  Using point-slope form,

y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}

#4) The slope of Main Street on the diagram, found by using rise/run, is 2.  This means the bike path will also have a slope of 2 in order to be parallel.  The park entrance is at (0, 4).  This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel.  They are never perpendicular.

3 0
3 years ago
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A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. Use 3.14 for .Round your answer to the n
allochka39001 [22]

Answer:

<em>797.0ft²</em>

Step-by-step explanation:

<u>Find a related diagram attached</u>

Area of the gate = Area of the semicircle + Area of the Rectangle

Area of the semicircle = πr²/2

r is the radius

From the diagram, radius r = 20/2 = 10ft

Area of the semicircle = 3.14(10)²/2

Area of the semicircle = 3.14(100)/2

Area of the semicircle = 314/2

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Area of the gate = 157 + 640

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Answer:

each bottle was $2.12 :P

Step-by-step explanation:

➼start by making an equation to find the price of the juice pack, in this case x would be the price of the juice pack because its unknown, the juice pack price(x) added to the price of the oranges(2.72) and equal the total(45.12), the before tax part is not needed info

2.72 + x = 45.12

➼now our aim to get x alone to find out its worth so we will have to do the opposite and subtract 2.72 from everything, since its positive

2.72-2.72=0 crosses out

45.12-2.72=42.4

➼which gets us x = 42.4 so one 20 pack is 42.40 dollars but we arent done yet, to find out the price of EACH bottle we must divide 42.4 by 20!

42.4/20=2.12

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