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melamori03 [73]
1 year ago
11

The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 a.m. and the airpl

ane starts from the same place at 11 a.m., they will have traveled the same number of miles by 1:00 p.m. If r represents the rate of the automobile, how many miles does the plane travel? 200r 2(200 + r) 10r
Mathematics
2 answers:
Vikentia [17]1 year ago
6 0

Answer:

200r

Step-by-step explanation:

Svetlanka [38]1 year ago
3 0

Answer:

Distance = 500 miles

Step-by-step explanation:

<u>Step 1: Write the data of speed, distance and time for aeroplane and automobile.</u>

<em>Automobile:</em>

Speed = r

Time = 10 hours (3 am till 1 pm)

Distance = SxT

Distance = r x 10 = 10r

<em>Aeroplane:</em>

Speed = 200 + r (200 mph more than automobile)

Time = 2 hours ( 11 am till 1 pm)

Distance = SxT

Distance = 2x(200+r) = 400+2r

<u>Step 2: Equate both distances to find the value of r</u>

Distance of automobile = Distance of aeroplane

10r = 400 + 2r

8r = 400

r = 50

<u>Step 3: Find the distance using any one equation</u>

Distance of automobile = 10r

r = 50

Distance = 10 x 50 = 500 miles

Therefore, the plane travels 500 miles.

!!

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1 year ago
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
PilotLPTM [1.2K]

Answer:

Hence, the model that best represents the data is:

y=26.9x-1.3

Step-by-step explanation:

We are given a table that  shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

A)

y = 47(1.191)^x

B)

y=34\times (1.204)^x

C)

y=26.9x-1.3

D)

y=27x-4

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

6 0
1 year ago
Read 2 more answers
Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households i
kap26 [50]

Answer:

The <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34              45 to 54

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  1906                    1965

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  1826                     1591

  1239                    1682

   1514                     1851

  1937                     1367

  1454                    2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01

Compute the <em>z</em>-score for the group "25 to 34" as follows:

z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37

Compute the mean and standard deviation for the group "45 to 54" as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39

Compute the <em>z</em>-score for the group "45 to 54" as follows:

z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25

Thus, the <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.

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1 year ago
The ruby- throated hummingbird has a wing beat of about 200 beats per second. About how many wings beats would a huming bird hav
marishachu [46]
Well 200 beats per second is 12,000 beats a minute times 3 for 3 minutes is 36,000 beats every three minutes

5 0
2 years ago
Read 2 more answers
-10√v-10=-60 Show All Steps.
docker41 [41]
-10rt(v-10)=-60
(-10rt(v-10))/-10=-60/-10
rt(v-10)=6
(v-10)^2=6^2
v-10=36
v-10+10=36+10
v=46
5 0
1 year ago
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