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arlik [135]
3 years ago
13

The bottom of a ladder must be placed 3 ft from a wall. the ladder is 12 feet long. how far above the ground does the ladder tou

ch the wall
Mathematics
1 answer:
3241004551 [841]3 years ago
6 0
9 feet above the ground, since it has to be 3 feet away from the wall you would have to subtract those 3 feet from the length of the ladder.
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A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets
tankabanditka [31]
Let x be the number of new laptops and y be the number of tablets that the company should buy. The equations that best show the given conditions are as follows,
                                   x + y = 30
                                515x + 285y = 11080
Solving simultaneously for the values of x and y gives an answer of x = 11 and y = 19.

Thus, the business should buy 11 laptops and 19 tablets.
4 0
3 years ago
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Tickets for a school football game cost 1.00 if purchased before the day of the game. They cost 1.50. They cost 1.50 each if bou
cluponka [151]

Answer:

Let x = number of gate tickets, ($1.50)

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Since there were 600 tickets sold, let (600-x) = the $1 tickets

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1.50 tickets + $1 tickets = $700

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1.5x + 1(600 - x) = 700

1.5x - x = 700 - 600

.5x = 100

x = 100/.5

x = 200 ea 1.50 tickets sold at the gate

;

;

Check: there were 600 - 200 = 400 ea $1 tickets sold

1.50(200) + 1(400) = $700

6 0
3 years ago
3(x+4) - (x-1)<br> x=3 y=2
Ksenya-84 [330]

Answer: 19

Step-by-step explanation:

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3 years ago
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The four points (−2, 5), (−2, −1), (6, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this
crimeas [40]
Look at the picture.

The polygon is a right-angled trapezoid.

The area is:
A=\frac{a+b}{2} \times h

The points (-2,-1) and (6,-1) lie on the same horizontal line, so the distance between them is 6-(-2)=6+2=8. The length of a is 8 units.
The points (-2,5) and (3,5) lie on the same horizontal line, so the distance between them is 3-(-2)=3+2=5. The length of b is 5 units.
The points (-2,5) and (-2,-1) lie on the same vertical line, so the distance between them is 5-(-1)=5+1=6. The length of h is 6 units.

A=\frac{8+5}{2} \times 6=\frac{13}{2} \times 6=13 \times 3=39

The area is 39 square units.

5 0
3 years ago
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The answers are
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