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Lady bird [3.3K]
3 years ago
6

A distance runner is running an 18-mile race. So far, he has run 43% of the race.

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
8 0
The answer would be Find 40% of 20 because you would round 43% down and 18 up. Hope this helps :) 
docker41 [41]3 years ago
6 0

Answer:

Find 40% of 20.

Step-by-step explanation:

The length of the race = 18 mile

The runner has run 43% of the race.

Total length completed by the runner = 43/100 * 18 = 7.74 miles

Among the given options:

1) 40% of 10 = 40/100 * 10 = 4

2) 40% of 20 = 40/100 * 20 = 8

3) 50% of 10 = 50/100 * 10 = 5

4) 50% of 20 = 50/100 * 20 = 10

The closest value with respect to the distance completed by the runner (7.74) from among the given options is the second one,namely,

Find 40% of 20.

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Answer:

9

Step-by-step explanation:

3/8 = 0.375

0.375(24) = 9

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if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neith
Crank
2/3 + 1/4. You start by converting the fractions so that they have a common denominator.
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Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(
zavuch27 [327]

Given:

The parent absolute function is

f(x)=|x|

To find:

The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.

Solution:

The translation is defined as

g(x)=kf(x+a)+b                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Parent function is translated up by 5 units. So, b=5

It is vertically stretched by a factor of 3. So, k=3.

There is no horizontal shift. So, a=0.

Now, putting k=3, a=0 and b=5 in (1), we get

g(x)=3f(x+0)+5

g(x)=3f(x)+5

g(x)=3|x|+5       [\because f(x)=|x|]

Therefore, the correct option is D.

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3 years ago
Write the point-slope form of the equation of the line through the given point with the given
UNO [17]

Answer:

The point-slope form of the equation is:

  • y-\left(-5\right)=-3\left(x-3\right)

Step-by-step explanation:

Given

  • point (3, -5)
  • slope = -3

We know the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where m is the slope

substituting the values m = -3 and the point (3, -5)

y-y_1=m\left(x-x_1\right)

y-\left(-5\right)=-3\left(x-3\right)

Thus, the point-slope form of the equation is:

  • y-\left(-5\right)=-3\left(x-3\right)
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