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natka813 [3]
2 years ago
10

A jogger on the beach at Cape Hatteras covered 8 miles at a constant speed. Given that distance run varies directly as time, wha

t is the constant of variation in miles per hour if it took the jogger 45 minutes to cover the 8 miles?
Mathematics
1 answer:
Simora [160]2 years ago
8 0

The velocity of the jogger will be 0.18 miles per minute.

<h3>What is velocity?</h3>

Velocity is defined as the ratio of the distance moved by the object in a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

Given that:-

  • It took the jogger 45 minutes to cover the 8 miles

The velocity will be calculated as:-

V   =   Distance  ÷   Time

V   =   8     ÷    45

V   =   0.18 miles per minute

Therefore the velocity of the jogger will be 0.18 miles per minute.

To know more about Velocity follow

brainly.com/question/25749514

#SPJ1

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Click
Mama L [17]

Answer:

(-3 , 0) (0, 2) (6, -6)

Step-by-step explanation:

Solving for x - intercept:

2x - 3(0) = -6

2x = -6

2x/2 = -6/2

x = -3

One point would be (-3 , 0) .

Solving for y-intercept:

2(0) - 3y = -6

-3y = -6

-3y/-3 = -6/-3

y = 2

Another point would be (0, 2).

When 'x' equals 6:

2(6) - 3y = -6

12 - 3y = -6

12 - 12 - 3y = -6 - 12

-3y = -18

-3y/3 = -18/3

y = -6

The third point would be (6, -6).

6 0
3 years ago
Oscar has elected to have 23% of his federal income tax withheld as state income tax. if $154.00 was withheld as federal income
zvonat [6]

The amount that will be withheld from his paycheck for income tax in all is d. $189.42.

<h3>What is the amount withheld?</h3>

The amount withheld is a credit against the income taxes the employee must pay during the year.

The amount withheld from his paycheck for income tax in all is given by;

Amount withheld = State income tax + ( State income tax× Percentage of federal income tax)

Where:

State income tax=$154.00

Percentage of federal income tax=23%

Substitute all the values in the formula

Amount withheld=$154.00+($154,00×23%)

Amount withheld=$154.00+$35.42

Amount withheld=$189.42

Hence, the amount that will be withheld from his paycheck for income tax in all is d. $189.42.

Learn more about income tax here:

brainly.com/question/25641320

6 0
2 years ago
Charles has been assigned several chores around the house. He washes the supper dishes every fifth day, he takes out the trash e
EleoNora [17]
2 times a month is how much he does it
6 0
3 years ago
john owns a truck. he rents out the truck with himself as a driver for $75 per hour. last month john earned $6375 how many of ho
Airida [17]
It would be 85 hours because 6375÷75=85
4 0
3 years ago
dante has been putting one peeny in his bank everyday Now he has 161 pennies Hor how many weeks has d
nikklg [1K]
All you need to do is divide 161 by 7 and get 23 weeks

6 0
3 years ago
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