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Ivan
4 years ago
7

A man walks 10 miles in x hours. How far does he walk in one hour?

Mathematics
1 answer:
Andreas93 [3]4 years ago
5 0

Answer:

Option  (c) is correct.

The distance covered by the man in 1 hour is represented by te expression  \frac{10}{x} miles.

Step-by-step explanation:

Given: A man walks 10 miles in x hours.

We have to choose a correct  expression that represents the distance covered by the man in 1 hour.

Consider the given statement."A man walks 10 miles in x hours."

Using UNITARY METHOD,

(is a method in which we first find the value of a single unit and then multiply it with desired quantity)

Distance covered by man in x hours = 10 miles,

So distance covered by man in 1 hour = \frac{10}{x} miles.

So, The distance covered by the man in 1 hour is represented by te expression  \frac{10}{x} miles.

You might be interested in
Suppose you were considering going bungee jumping, but would only go if the mean breaking strength of the cord was greater than
serg [7]

Answer:

Type II error will occur when we conclude that the mean breaking strength of the cord is smaller than or equal to 250 pounds but in actual it was not true.

Step-by-step explanation:

We are given that you are considering going bungee jumping, but would only go if the mean breaking strength of the cord was greater than 250 pounds.

If the mean breaking strength of the cord is greater than 250 pounds, the bungee cord will not break.

<u><em>Let </em></u>\mu<u><em> = mean breaking strength of the cord</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 pounds  

Alternate Hypothesis, H_A : \mu > 250 pounds

Here, null hypothesis states that the mean breaking strength of the cord was smaller than or equal to 250 pounds.

On the other hand, alternate hypothesis states that the mean breaking strength of the cord was greater than 250 pounds.

Now, Type II error states the Probability of accepting null hypothesis given the fact that it was false or Probability of accepting the false hypothesis.

SO, <u>according to our question, Type II error </u>will occur when we conclude that the mean breaking strength of the cord is smaller than or equal to 250 pounds but in actual it was not true and he mean breaking strength of the cord was greater than 250 pounds.

8 0
3 years ago
Fill in the blanks with two consecutive integers to complete the following inequality.
Eva8 [605]

Answer:

<h2>11 and 12</h2>

Step-by-step explanation:

You know that 134 is between 11^2 and 12^2 which is 121 and 144.

So the two integers would be 11 and 12

Hope this helps :)

3 0
3 years ago
Cal is measuring temperature changes in four substances over different time periods as part of a school project. Which data show
djyliett [7]

Answer:

C) The third table. K= 5

C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5

Step-by-step explanation:

1) Below there are the missing data:

A proportional relationship through a constant k. It is obtained when we divide:

k=\frac{y}{x}

2)In this case, when we divide the temperature (T) by the time (h).

k=\frac{T}{h}

3)So, examining the table below we are searching for a ratio k common to all measures (temperatures over hour).

A) \frac{12}{3}\neq\frac{25}{5}\neq\frac{36}{6}\neq\frac{81}{9}\\B) \frac{22.5}{3}\neq\frac{30}{4}\neq\frac{52.5}{7}\neq\frac{67.5}{8}\\C)\frac{10}{2}=\frac{15}{3}=\frac{25}{5}=\frac{40}{8}=k= 5\\D)\frac{8.5}{2}\neq\frac{22.5}{5}\neq\frac{28.5}{7}\neq\frac{36}{8}

3 0
3 years ago
PLEASE HELP! NO ONE HAS BEEN HELPING WITH MY QUESTIONS SO IT WOULD MEAN A LOT IF YOU DID!
kvv77 [185]

Answer:

80 m²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (a + b)

where h is the perpendicular height between bases and a, b are the bases

Here h = 8, a = 14 and b = 6, thus

A = \frac{1}{2} × 8 × (14 + 6) = 4 × 20 = 80 m²

3 0
3 years ago
Question 1 of 40<br> If f(x) = 4x² - 6 and g(x) = x² - 4x-8, find (f- g)(x).
Aleksandr-060686 [28]

Answer:

\huge\boxed{\sf (f-g)(x) = 3x\² + 4x - 14}

Step-by-step explanation:

<h3><u>Given functions:</u></h3>
  • f(x) = 4x² - 6
  • g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>

Subtract both functions

(f-g)(x) = 4x² - 6 - (x² - 4x - 8)

(f-g)(x) = 4x² - 6 - x² + 4x - 8

Combine like terms

(f-g)(x) = 4x² - x² + 4x - 6 - 8

(f-g)(x) = 3x² + 4x - 14

\rule[225]{225}{2}

3 0
2 years ago
Read 2 more answers
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