MATHEMATICS HIGH SCHOOL

Alex's carpet cleaning service charges $12 dollarsper job and $0.10 per foot of vacuuming.
Alex earned $52. How many feet did he vacuum?
y= rate • + constant

Answers

Answer 1
Answer: 40 ft

explanation

52-12= 40

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Jeff is going to cut this shape out of a piece of paper. He will fold the paper on the dotted lines and connect all the edges. What solid will Jeff have when he is done?

Answers

Can we have a Picture to see the shape

Answer:

noo

Step-by-step explanation:

Gunner rides his bike 10 miles in 2 1/2 hours. How many miles per hour did Andre ride

Answers

Answer:

Step-by-step explanation:

10 miles divided by 2.5 hours is 4 miles per hour.

10/2.5 = 4

A car traveled twice as fast on a dry road as it did making the return on a slippery road. the trip was 60 mi each way, and the round trip took 35 hr.

Answers

If it was 60 miles round trip, each way was therefore 30 miles.
Let x represent the hours taken on the dry road.  Slippery road was then 2x.  2x + x = 3x.  35 / 3 = 11.66… = x.
So, on the dry road, the car took 11.66…  hours.
For the slippery one, 2 * 11.66… or 23.33…  hours.
Convert to mph, shall we?
Dry road:
30 miles / 11.66… hours = 2.57… mph.
Slippery road:
30 miles / 23.33… hours = 1.28… mph.
If that’s what you’re looking for — you never quite asked.

The data below were gathered on a random sample of 5 basking sharks, swimming through the water and filter-feeding, i.e. letting the water bring food into their mouths.Body Length (meters) Column 1

Mean Speed (meters/seconds) Column 2

4 0.89
4.5 0.83
4 0.76
6.5 0.94
5.5 0.94

Construct a scatterplot of the data and answer the following questions:
(a) What is the label for the horizontal axis?
(b) What is the label for the vertical axis?
(c) Interpret the scatterplot (comment on association, form, strength, and outliers).

Answers

Given:
Body length (meters) Mean Speed (meters/seconds) 4                                            0.89 
4.5                                         0.83 4                                            0.76 6.5                                         0.94 5.5                                         0.94 

The horizontal axis is the x-axis. The values reflected in this axis is the body length of the shark.

The vertical axis is the y-axis. The values reflected in this axis is the mean speed.

Graph your own scatter plot.
point 1 (4, 0.89)
point 2 (4.5, 0.83)
point 3 (4, 0.76)
point 4 ( 6.5, 0.94)
point 5 (5.5, 0.94)

The correct answers are:

Body length; Mean Speed; There appear to be no outliers, the graph seems to have a strong positive association and appears to be nearly linear in form.  The graph is attached.

Explanation:

Since body length is in column 1, that will be the label of the horizontal axis.  The mean speed is in column 2, so that will be the label of the vertical axis.  

The points are very tightly grouped and appear to be slightly increasing.  There are no points that are very different than the rest, so there are no outliers.

An airliner travels 15 miles in 2 minutes.what is its speed in miles per hour

Answers

(15 miles / 2 minutes) times (60 minutes / 1 hour) = 15 x 60 / 2 = 450 miles per hour.
Remember:

1 mile per minute = 60 miles per hour

So:

(15 \ miles)/(2 \ min)=(15)/(2)*60=450 \ miles \ per \ hour

At a benefit concert, fourteen bands have volunteered to perform but there is only enough time for six of the bands to play. How many lineups are possible?

Answers

There are 2,162,160 possible combination that could be made if there are 14 bands and only 6 slots available. This is computed using factorial. By using factorial we first need to identify the number of band and the number of slots available. It could be express as 14! - 8! or 14 x 13 x 12 x 11 x 10 x 9, which is equal to 2,162,160 combination.
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