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Mrac [35]
3 years ago
14

on monday, roger drove to work in 20 minutes. on tuesday, he averaged 15 miles per hour more, and it took him 6 minutes less to

get to work. how far in miles does he travel to work?
Mathematics
1 answer:
ch4aika [34]3 years ago
7 0
Let the distance to his office be x, then
On monday, speed = x/20 miles per minutes = 3x miles per hour
On tuesday, speed = (3x + 15) miles per hour
Time = distance / speed
(20 - 6)/60 hours = x/(3x + 15) hours
7/30 = x/(3x + 15)
7(3x + 15) = 30x
21x + 105 = 30x
30x - 21x = 105
9x = 105
x = 105/9 = 11.7 miles

Therfore he travels an average of 11.7 miles to work.
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Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in th
mihalych1998 [28]

Question:

1. The females worked less than the males, and the female median is close to Q1.

2. There is a high data value that causes the data set to be asymmetrical for the males.

3. There are significant outliers at the high ends of both the males and the females.

4. Both graphs have the required quartiles.

Answer:

The correct option is;

1. The females worked less than  the males, and the female median is close to Q1

Step-by-step explanation:

Based on the given data, we have;

For males

Minimum = 0

Q1 = 1

Median or Q2 = 20

Q3 = 25

Maximum = 50

For females;

Minimum = 0

Q1 = 5

Median or Q2 = 6

Q3 = 10

Maximum = 18

Therefore, the values of data that affect the statistical measures of spread and center are that

The females worked less than the males as such the statistical data for the females have less variability than the males in terms of interquartile range

Also the female median is very close to Q1, therefore it affects the definition of a measure of center.

5 0
3 years ago
What is the third term in the expansion of (x+2)^3
maw [93]

Answer:

(x+2)^3=x^3-6x^2+12x-8

Step-by-step explanation:

6 0
3 years ago
If 3 tons of flower bed mulch cost $480, what is the price per pound?
Goshia [24]
1 ton = 2,000 pounds 
3 tons = 6,000 pounds
$480/6,000 = 0.08 
per pound is $0.08
6 0
3 years ago
Using the given points and line, determine the slope of the line. (1, 2) and (2, 1) slope = 2 slope = 1 slope = -1
Bas_tet [7]

Answer:

-1

Step-by-step explanation:

Slope formula: (y₂ - y₁) / (x₂ - x₁)

= (2 - 1) / (1 - 2)

= -1

8 0
3 years ago
(HELP ASAP PLEASE!!)
Doss [256]

Answer:

Each shirt cost $<u>7</u>  and each pair of shorts cost $<u>17</u> .

Step-by-step explanation:

let shirts be represented as x

let shorts be represented as y

Younger brother spent $79 on 4 new shirts and 3 pairs of shorts.

4 x + 3 y = $79    .......equation 1

Older brother purchased 7 new shirts and 8 pairs of shorts and paid a total of $185.

7 x + 8 y = $185  .......equation 2

multiply equation 1 by 7 and equation 2 by -4 and add both equations to get the value of y.

7 × (4 x + 3 y = $79)     ⇒             +28 x + 21 y = $553

-4 × (7 x + 8 y = $185)  ⇒             <u> -28 x - 32 y = - $740</u>

                                                          0   - 11 y   = - $187     ⇒  -11 y   = - $187

y = \frac{- $187}{- 11}   ⇒   y = $17

shorts = y = $17

put value of y in equation 1

4 x + 3 ( $17 ) = $79  ⇒    4x + $51 = $79   ⇒   4x = $79 - $51

4x = $28   ⇒  x = \frac{$28}{4}   ⇒   x = $7

Shirts = x = $7

8 0
3 years ago
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