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4vir4ik [10]
3 years ago
8

A car is traveling at a rate of 80 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car tr

avel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Mathematics
1 answer:
charle [14.2K]3 years ago
6 0

Answer:

50 miles per hour, 150 miles

Step-by-step explanation:

To find miles per hour , divide 80 by 1.6 This is 50

Thus, 80km/hr = 50 miles / hour

Also if the car travels 50 miles an hour, then in 3 hours it goes 50 x 3 = 150 miles.

Hope this helps

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A triangle with three 60° angles is always a/an _______________ triangle.
ki77a [65]
It’s called an equilateral triangle because all sides are even. A triangle equals 180 degrees. So, 60 degrees x 3 sides = 180 degrees
7 0
2 years ago
in a coin jar, there are 45 nickles. the number of pennies and nickles together equal the number of dimes. there are 2 quarters
fredd [130]

Answer:

45 nickels

30 quarters

60 dimes

15 pennies

Step-by-step explanation:

Quarters:

45÷3=15

15×2=30

Dimes:

30×2=60

Pennies:

60-45=15

HOPE THIS HELPS!!!!!:)

3 0
3 years ago
A tour company charges a given price per ticket based on the number, n, of people who take the tour. the maximum number of peopl
UkoKoshka [18]

Harper goes on a tour where the ticket price is $10.50 along with 29 people according to the given expression. Solving the given expression for 'n' results in the required number.

<h3>How to solve an algebraic expression?</h3>

Solving an expression algebraically involves basic operations like addition, subtraction, multiplication, and division.

  • In the expression, add/subtract the constant terms on both sides
  • Multiply/divide the coefficient of the variable on both sides
  • Solve for the variable.

<h3>Calculation:</h3>

Given that,

A tour company charges a given price per ticket based on the number 'n' of people who take the tour.

The maximum number of people who are allowed to take the tour is 35. I.e., n ≤ 35.

The price per ticket is $20 for n < 10 people and the price per ticket is given by the expression 20-(n-10)/2 for n > 10 people.

Harper goes on a tour where the ticket price is $10.50.

Since the price is less than $20, so the number of people who went on this tour is known by the expression 20-(n-10)/2 for n > 10 people.

So, solving the given expression:

20-(n-10)/2 = $10.50

-(n-10)/2 = 10.50 - 20

-(n-10)/2 = -9.5

(n-10) = 9.5 × 2

n -10 = 19

∴ n = 19 + 10 = 29

Therefore, 29 people went on this tour for a ticket price of $10.50.

Learn more about solving an expression here:

brainly.com/question/723406

#SPJ4

3 0
2 years ago
An employer uses the linear regression equation mc024-1.jpg to predict the weekly salary, y, of an employee who sells x dollars
jolli1 [7]

Answer:

Alex earned about $60 more than Joaquin did.

Step-by-step explanation:


5 0
3 years ago
The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city
Tresset [83]

The quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

\rm ax^2+bx+c=0

Where; a, b, and c are the constants.

x;   0       1         2        3          4         5

y;  2.82  3. 29  3. 46  3. 33   2. 88  2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82

From the table when the value of x = 3 the value of y is 3.33.

\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\

From the table when the value of x = 5 the value of y is 2.24.

\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143

And the value of b is;

\rm b=3a\\\\b=3(-0.14)\\\\b=0.59

Therefore,

The quadratic regression equation for this data set is;

\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\

Hence, the quadratic regression equation for this data set is \rm y=-0.143x^2+0.59x+2.82\\.

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8 0
2 years ago
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