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Dmitrij [34]
3 years ago
5

Pete drove 224 miles in 4 hours on saturday. If he drives at the same rate on Sunday, how long would it take him to drive 490 mi

les?
Mathematics
2 answers:
hoa [83]3 years ago
7 0

Answer:

8.75 hours

Step-by-step explanation:

What I do is form it into ratio form

224 : 4

490 : n

n is the hour we're trying to find

Since 490 isn't one of the multiples of 224, you divide 224 by itself, giving you 1

You then multiply 490 by 1 to get it

You divide and add again but with the hour (4)

4/224 = 0.0178... x 490 = 8.75 hours

There's how to get your answer

alisha [4.7K]3 years ago
3 0

Answer:

219.0496 m / s

Step-by-step explanation:

224 x 2 is 448 we still need 42 to get to 490 so, 224 divided by 4 is 56 since this is two much we can divide 56 by 2 to get 28. 28 plus 448 is 476 we need 14 more so 56 divided by 4 is 14 so 14 plus 476 is 490 finally we divide  and get 219.0496 m / s

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.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s
Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

5 0
2 years ago
7. Here are the prices for cans of juice that are the same brand and the same size at different
Luda [366]

Answer:

i just want point lol

Step-by-step explanation:

6 0
2 years ago
What is the value of y for the parallelogram shown?
dybincka [34]
Opposite angles in a parallelogram have to be equal so

3y=66
y=22
3 0
3 years ago
Read 2 more answers
HELP PLEASE <br>factor completely. <br><br>25d^8−80d^4+64=
Dominik [7]

Answer:

(5d⁴ − 8)²

Step-by-step explanation:

I hope this is helpful!

8 0
1 year ago
The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches.
Rainbow [258]

Answer:

(a) 0.2061

(b) 0.2514

(c) 0

Step-by-step explanation:

Let <em>X</em> denote the heights of women in the USA.

It is provided that <em>X</em> follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.

(a)

Compute the probability that the sample mean is greater than 63 inches as follows:

P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.

(b)

Compute the probability that a randomly selected woman is taller than 66 inches as follows:

P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.

(c)

Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.

8 0
2 years ago
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