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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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Factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

<span>Factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, </span>28, 42, 84

The outside term multiplies by the outside term on the oposite side to equal the answer. 

Example:
Look at the factors of 84
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6 0
3 years ago
Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree h
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Answer:   c. elm

Step-by-step explanation:

Given : The circumference of the oak tree= 0.539 meters

=0.539\times100=53.9\text{ cm}   [∵ 1 m = 100 cm]             (1)

The circumference of the ash tree= 0.509 yards

=0.509\times3\text{ feet}   [∵ 1 yard = 3 feet]

=0.509\times3\times 30.48\text{ cm}  [∵ 1 foot = 30.48 cm]

=46.54296\approx46.54\text{ cm}        (2)

The circumference of the elm tree = 6281.70 millimeters

=\dfrac{6281.70}{10}=628.17\text{ cm}          (3)

The circumference of the poplar tree = 0.000385 miles

=0.000385 \times5280\text{ feet}   [∵ 1 mile = 5280 feet]

=0.000385 \times5280\times30.48\text{ feet}  [∵ 1 foot = 30.48 cm]

=61.959744\approx61.96\ \text{ cm}              (4)

From (1) , (2) , (3 ) and (4) it is clear that

46.54< 53.9 < 61.96 < 628.17

Hence, the elm tree has the greatest circumference.

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