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3 years ago

The line graph shows the miles per gallon for a car.

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

The unit rate of gas usage is 35 miles per gallon.

Step-by-step explanation:

"Unit rate" refers to the number of miles for 1 gallon.

From the graph given,

it can be determined that, the car goes 2 miles for 70 gallons and 3 miles for 105 gallons.

To find miles per gallon, use rate formula

Rate= Given miles/ Given gallons= 2/70

Unit Rate= miles/ 1 gallon= X/1

where "X" term refers to number of miles per gallon.

By Comparing the rates we get,

2/70 =X/1

X=35 miles per gallon

Similarly,

3/105 =X/1

X=35 miles per gallon

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PLS HELP. Find the first four terms of the recursive sequence defined by the following formula:

Gnoma [55]

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula $a_{n}$ = $\frac{a_{n-1} }{4}$ and

$a_{4}$ = 2 $\frac{1}{4}$ = $\frac{9}{4}$ , then

$\frac{a_{3} }{4}$ = $\frac{9}{4}$ ( multiply both sides by 4 )

a₃ = 4 × $\frac{9}{4}$ = 9

$\frac{a_{2} }{4}$ = 9 ( multiply both sides by 4 )

a₂ = 36

$\frac{a_{1} }{4}$ = 36 ( multiply both sides by 4 )

a₁ = 144

The first 4 terms are

144, 36, 9, 2 $\frac{1}{4}$

3 0

3 years ago

4. A yellow cab Taxi charges $5.00 flat rate in addition of $0.65 per mile. Jan has no more than $20 to spend on a ride.

gogolik [260]

Answer:

$5+0.65x\le 20$

Step-by-step explanation:

Let x be the number of miles Jan can drive in a taxi.

The cost of this ride consists of

$5.00 flat rate
$.065 per mile

So, per x miles Jan will pay $0.65x and the total cost of the ride will be

$5.00+$0.65x

Jan has no more than $20 to spend on a ride, then the total cost of his ride must be less or equal to $20. Mathematically, you can write this as

$5+0.65x\le 20$

6 0

3 years ago

Use the table below to determine how long it will take the Spirt club to wax 60 cars.

vekshin1

3/8 = 0.375 hrs per wax
60 x 0.375 = 22.5 hrs for 60 cars

3 0

3 years ago

5.Find the slope of a line perpendicular to

Lemur [1.5K]

Hi there!

When the slopes of two perpendicular lines are multiplied the outcome will be -1.

The slope is the number that is positioned in front of the variable x in the formula. In this case the slope of the given line is -2/5.

Let's call the slope of the perpendicular line m and take into account the given data of the question and my earlier explanation. We then find the following:

$- \frac{2}{5} \times m = - 1$
Divide both sides by - 2/5.

$m = \frac{ - 1}{ - \frac{2}{5} } = 2 \frac{1}{2} = \frac{5}{2}$
The answer is B.

~ Hope this helps you!

5 0

3 years ago

Write an equation of the line passing through the point A(3,−4) that is parallel to the line y = −x+8.

andrezito [222]

Answer:

y = -x -1

Step-by-step explanation:

The x- and y-coordinates will be the same for the parallel line, so we only need to find the constant that needs to replace the +8 in the given equation.

y = mx +b

y = -x +b . . . . . with the coefficient of x filled in

-4 = -(3) +b . . . with the given point filled in

b = -1 . . . . .add 3 to both sides

The equation is ...

y = -x -1

4 0

3 years ago