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stepladder [879]
3 years ago
9

an indy car driver has to be a certain height to fit into the race car. The following inequality 175<=3x-17<=187, where x

represents the height of the driver in inches.
Mathematics
1 answer:
enot [183]3 years ago
8 0

Given inequality : 175 ≤ 3x-17 ≤ 187, where x represents the height of the driver in inches.

Let us solve the inequality for x.

We have 17 is being subtracted in the middle.

Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get

175+17 ≤ 3x-17+17 ≤ 187+17

192  ≤ 3x ≤ 204.

Dividing by 3.

192/3  ≤ 3x/3 ≤ 204/3.

64 ≤ x ≤ 68.

Therefore, the height of the driver should be from 64 to 68 inches  to fit into the race car.

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Could a triangle be constructed with side lengths 4 cm, 5 cm and 13 cm? *​
Ratling [72]

Answer:

NO.

Step-by-step explanation:

No because 13 > 4 + 5.

7 0
3 years ago
Kevin can mow the lawn in 1.5 hours. Together, Kevin and Eric can mow the lawn in 30 minutes. How long will it take Eric to mow
xeze [42]

Answer:

45

Step-by-step explanation:

These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below

1/time took for both = 1/time took for Kevin + 1/time took for Eric

1/30 = 1/90+1/x    ==> calling time took for Kevin x

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1/x=2/90

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6 0
3 years ago
Find the area of the figure below 8 inches, 5 inches
Daniel [21]

Answer:

ITS 40

Step-by-step explanation:its 8 because 8x5 is 40:5 10 15 20 25 30 35 40

4 0
2 years ago
Find the maximum value of y = -2(x - 4)2 - 6. A) -6 B) -4 C) -2 D) 4
otez555 [7]

Y=-2(x-4)^2-6

The -6 makes it shift from origin(0,0) to (0,-6)

Then the -4 inside with x, makes it shift to the right by for, so the center would be now instead of (0,0), (4,-6).

As it has a negative A factor, it is a parabola open downwards, so the center is the maximum value.

Answer: (4,-6)

Hope you get it!

6 0
4 years ago
George would like to build a garden this year, George measure out his proposed garden and would like to know how many square fee
Blababa [14]

Answer:

The area is 105.5ft^2

Step-by-step explanation:

Required

The area of the composite figure

The figure can be divided to 2 shapes

(1) Rectangle: Length = 6ft and Width = 8ft

(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)

The area of the rectangle is:

Area = 6 * 8 = 48

The area of the trapezoid is:

Area = \frac{1}{2}(9 + 14) * 5

Area = \frac{1}{2}(23) * 5

Area = 11.5 * 5

Area = 57.5

So, the area of the garden is:

Total = 48 + 57.5

Total = 105.5

5 0
3 years ago
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