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2 years ago

Write an inequality to represent the phrase: the difference of a number and 9 is no more than 95

Mathematics

1 answer:

Sliva [168]2 years ago

5 0

Answer:

$x-9\leq 95$

Step-by-step explanation:

Let

x ----> the number

we know that

The phrase " the phrase: the difference of a number and 9" is equal to

subtract the number 9 from the number x

(x-9)

The phrase" no more than 95" means "less than or equal to 95" (≤95)

The inequality that represent this situation is

$x-9\leq 95$

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He will have more than enough because he only needs to cover 84.1425 square feet.

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Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285

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Answer:

$Highway = 155\ miles$

$City = 130\ miles$

Step-by-step explanation:

Given

$Highway = 31mi/gallon$

$City = 26mi/gallon$

$Total\ Miles = 285$

$Total\ Gallons = 10$

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

$c + h = 10$ ---- gallons used

and

$31h + 26c = 285$ --- distance travelled

In the first equation, make c the subject

$c = 10 - h$

Substitute 10 - h for c in the second equation

$31h + 26c = 285$

$31h + 26(10 - h) = 285$

Open bracket

$31h + 260 - 26h = 285$

Collect like terms

$31h - 26h = 285 - 260$

$5h = 25$

Make h the subject

$h = \frac{25}{5}$

$h = 5$

Substitute 5 for h in $c = 10 - h$

$c = 10 - 5$

$c = 5$

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

$Highway = 31 * 5$

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If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

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2 years ago

Guys I need your help

vesna_86 [32]

Answer:

5x - 2 = 3x = 14

8x -2 = 14

8x = 14 + 2

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Postulate:

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The angle of arc AC is marked with a square.

That square mark means it is 90°.

So the arc would also measure 90°.

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