All categories

2 years ago

Which of the following examples has a unit rate of 50 miles per hour? Select all that apply.

Mathematics

2 answers:

Usimov [2.4K]2 years ago

8 0

Answer:

I believe your answer would be the following:

A) 250 miles in 5 hours.

C) 200 miles in 4 hours

E) 700 miles in 14 hour

Step-by-step explanation:

Unit rate = 50

A) 250 miles in 5 hours // 50*5 = 250 (CORRECT)

B) 300 miles in 5 hours // 50*5 ≠ 300 (WRONG)

C) 200 miles in 4 hours // 50*4 = 200 (CORRECT)

D) 240 miles in 4 hours // 50*4 ≠ 240 (WRONG)

E) 700 miles in 14 hours // 50*14 = 700 (CORRECT)

Hope this helps! :)

IgorC [24]2 years ago

7 0

<h3>Answers: Choice A, Choice C, Choice E</h3>

=========================================================

Explanation:

We use this formula

speed = distance/time

to divide each pair of values given.

For choice A, we have speed = distance/time = 250/5 = 50 mph which shows choice A is one of the answers.
Choice B doesn't work though because 300/5 = 60 mph.
Choice C works since 200/4 = 50 mph.
Choice D doesn't work: 240/4 = 60 mph
But choice E does work: 700/14 = 50 mph

To summarize, we got the following speeds

A) 50 mph
B) 60 mph
C) 50 mph
D) 60 mph
E) 50 mph

You might be interested in

in a jumping contest marcus jumped 1.02 meters Gustavo jumped 1.29 meters and Loreena jumped 1.202 meters. Who won the jumping c

german

Gustavo won, this question tries to trick you by adding more digits to Loreena.

3 0

3 years ago

What is the slope intercept equation of the line below

shtirl [24]

Answer:

y = 2x - 3

Step-by-step explanation:

Step 1: Remember the equation

The slope intercept form is y = mx + b where m is the slope and b is the y-intercept

Step 2: Solve

We can see the y-intercept(where the line crosses the y axis) is at y = -3

We know slope is $\frac{rise}{run}$ so we can see for every 1 square it moves right it moves 2 up so the slope would be $\frac{2}{1}$ or 2

Plug what we know into the equation

y=2x-3

Step 3: Therefore Statement

Therefore the equation of the line shown below is y = 2x - 3

6 0

2 years ago

an inlet pipe and a hose together can fill the pond in 10 hours. The inlet pipe alone can complete the job in one hour less time

Annette [7]

Answer:

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in 20.465 hours.

Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is $=\frac{1}{x}$

The rate of filling of inlet pipe is $=\frac{1}{x-1}$

The rate of filling of both pipes is = $\frac 1{10}$

According to the problem,

$\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}$

$\Rightarrow \frac{x-1+x}{x(x-1)}=\frac1{10}$ [ simplifying the fraction]

$\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}$

$\Rightarrow 10(2x-1)= x^2-x$ [ Multiplying 10(x²-x) both sides]

$\Rightarrow x^2-x= 20x-10$

$\Rightarrow x^2-x-20x+10=0$ [ simplifying ]

$\Rightarrow x^2-21x+10=0$

$\Rightarrow x=\frac{-(-21)\pm\sqrt{(-21)^2-4.1.10}}{2.1}$ [ applying quadratic formula]

$\Rightarrow x=\frac{21\pm21.93}{2.1}$

⇒ x= 21.465, -0.465

x= - 0.465 does not possible, since time can not be negative.

∴x=21.465

The hose pipe can fill the pond in 21.465 hours.

The inlet pipe can fill the pond in (21.465-1)=20.465 hours.

3 0

3 years ago

Help i'll mark brainliest

tensa zangetsu [6.8K]

The correct answer is D. 40

4 0

2 years ago

Read 2 more answers

How do you graph a circle x^2 + y^2=25 and the line is given y=2

Kazeer [188]

$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k}})\qquad 
radius=&{{ r}}
\end{array}\\\\
-------------------------------\\\\
x^2+y^2=25\implies (x-0)^2+(y-0)^2=5^2$

so notice above, the circle is centered at h,k or 0,0, the origin, and has a ratio of 5.

and y = 2, is just a horizontal line, check the picture below.

7 0

3 years ago