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3 years ago

Does anyone know this answer

Mathematics

1 answer:

AURORKA [14]3 years ago

7 0

Answer:

198

Step-by-step explanation:

In order for them to be a proportion, they must be equal. 9 as a fraction is 9/1, so you need to figure out what over 22 = 9/1. so you need to multiply 1 by 22 to get 22 in the denominator, so for the numerator, you multiply 9x22, which is 198.

198/22 : 9

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Isabella and Tanner are running in a 100-mile relay race. First, Isabella runs for 2 hours and hands off to Tanner, who bicycles

Murljashka [212]

Answer:

5 miles per hour and 15 miles per hour.

Step-by-step explanation:

Given:

Isabella and Tanner are running in a 100-mile relay race.

First, Isabella runs for 2 hours and hands off to Tanner, who bicycles for 6 hours to the finish line.

Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed.

Question asked:

what are their speed ?

Solution:

Let average running speed of Isabella = $x$

Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed means,

Tanner's average cycling speed = $4x-5$

Now, $Distance = speed\times time$

As we know that the total distance is 100 mile which is covered by both together,

Distance traveled by Isabella + Distance traveled by Tanner = 100

$x\times2 + (4x-5)\times6 = 100\\2x +24x-30=100\\26x-30 =100$

Adding both sides by 30

$26x =1 30\\$

Dividing both sides by 26

$x=5$

Isabella's average running speed $x=5 \ miles \ per \ hour$

Tanner's average cycling speed = $4x-5$ = $4\times5-5 =20 -5 = 15 \ miles\ per \ hour$

Therefore, Isabella's average running speed is 5 miles/hour and Tanner's average cycling speed is 15 miles/hour.

5 0

4 years ago

HELP PLEASE

Maurinko [17]

$\bf \cfrac{x^2-x-42}{x-6}\implies \cfrac{(x+7)\underline{(x-6)}}{\underline{x-6}}\implies x+7$

so.. the left-hand-side does indeed simplify to x+7, so the equation does check out.

however, notice something, for the equation of x+7, when x = 6, we get (6) + 7 which is 13.

BUT for the rational, we get $\bf \cfrac{x^2-x-42}{x-6}\qquad \boxed{x=6}\implies \cfrac{x^2-x-42}{\boxed{6}-6}\implies \stackrel{und efined}{\cfrac{x^2-x-42}{0}}$

so, even though the siimplification is correct, the rational or original expression is constrained in its domain.

6 0

4 years ago

Is the expression 9(−4x−3) equivalent to the expression −36x−27.?

LekaFEV [45]

Answer:

No they are not equivilant. −36x−27 = 972 & 9(−4x−3) = 108.

Step-by-step explanation:

5 0

3 years ago

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Find the distance between the points E(9,0) and F(0,-10) to the nearest tenth.

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