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Genrish500 [490]
3 years ago
8

Kareem is participating in a 5-day cross-country biking challenge. He biked for 67, 62, 59, and 47 miles on the first four days.

How many miles does he need to bike on the last day so that his average (mean) is 60 miles per day? miles
Mathematics
1 answer:
BabaBlast [244]3 years ago
6 0

Answer:65miles

Step-by-step explanation:

Let the needed miles be x

(67+62+59+47+x)/5=60

235+x=60×5

235+x=300

x=300-235

x=65miles

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A car is travelling at exactly 6 miles per hour and accelerates at a constant rate to exactly 65 miles per hour.
vichka [17]

Answer:

14878.04878miles/hours^2

Step-by-step explanation:

Let's find a solution by understanding the following:

The acceleration rate is defined as the change of velocity within a time interval, which can be written as:

A=(Vf-Vi)/T where:

A=acceleration rate

Vf=final velocity

Vi=initial velocity

T=time required for passing from Vi to Vf.

Using the problem's data we have:

Vf=65miles/hour

Vi=6miles/hour

T=14.8seconds

Using the acceleration rate equation we have:

A=(65miles/hour - 6miles/hour)/14.8seconds, but look that velocities use 'hours' unit while 'T' uses 'seconds'.

So we need to transform 14.8seconds into Xhours, as follows:

X=(14.8seconds)*(1hours/60minutes)*(1minute/60seconds)

X=0.0041hours

Using X=0.0041hours in the previous equation instead of 14.8seconds we  have:

A=(65miles/hour - 6miles/hour)/0.0041hours

A=(61miles/hour)/0.0041hours

A=(61miles)/(hour*0.0041hours)

A=61miles/0.0041hours^2

A=14878.04878miles/hours^2

In conclusion, the acceleration rate is 14878.04878miles/hours^2

7 0
3 years ago
Which equation best represents this situation?
Harlamova29_29 [7]
Hello!

We have the difference between 30 and x(our unknown value) is equal to 17; so we just simply set it up that way. Always think of x or any variable(like in your question they use p, it can be anything u want, it’s simply a representation of an unknown value we are trying to find)as your unknown and what operation they are implying as in this case it’s subtraction as they want the difference between 30 and x.

So the answer is a. 30-p=17

Hope this helped and any questions please just ask. Thank you!
7 0
3 years ago
I NEED HELP CUZ I DONT KNOW HOW TO DO THIS​
mars1129 [50]
Area of rectangle = l*w
Area of triangle = (1/2)*l*w

Based on the figure:

Area of triangles = 2*(1/2)*l*w
= 2*(1/2)*24*14 = 336 cm^2

Area of side rectangles = 2*l*w
= 2*44*25 = 2200 cm^2

Area of bottom rectangle = l*w
= 44*14 = 616 cm^2

To find the total surface area, you would add all of the sides together:

336+2200+616= 3152 cm^2

Don’t be afraid to ask any questions, if you have any :D

3 0
2 years ago
The mean monthly car payment for 123 residents of the local apartment complex is $624. What is the best point estimate for the m
Natali [406]

Answer:

The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this question:

We apply the inverse Central Limit Theorem.

The mean monthy car payment for 123 residents of the local apartment complex is $624.

So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.

3 0
3 years ago
fiona is going to jog once around the block she lives on. The block is retangular, and it is 180 yards long and 200 feet wide. H
prisoha [69]

Answer:

1480 feet

Step-by-step explanation:

180yd x 2 = 360yd

change to feet: 360 x 3 = 1080 feet

200ft x 2 = 400ft

1080 + 400 = 1480ft

5 0
3 years ago
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