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3 years ago

Mary's car will go 261 miles on 14.5 gallons of gasoline in highway driving.

Mathematics

1 answer:

suter [353]3 years ago

3 0

Answer:

a) 91 1/6 gallons

b) 2502 miles

Step-by-step explanation:

You are given a number of miles and a number of gallons for the car. The ratio of these numbers is ...

(261 mi)/(14.5 gal) = 18 mi/gal

We presume this value is constant for this car. Then the questions can be answered by forming and solving a proportion:

a) 1641 miles/(gallons) = 18 mi/(1 gal)

Multiplying by gallons and dividing by 18 mi/gal, we get

1641/18 gal = (gallons) = 91 1/6 gal

It will take 91 1/6 gallons of gasoline for Mary to drive to her friend's house.

___

b) Same deal, but the miles are unknown.

(miles)/(139 gal) = (18 mi)/(1 gal)

Multiplying by 139 gal gives ...

(18 mi)·139 = (miles) = 2502 mi

139 gallons of gasoline will let Mary drive 2502 miles.

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Step-by-step explanation:

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3 years ago

Find the slope of the line(s) passing through the given points. Then tell whether the line(s) rises, falls, is horizontal, or is

bonufazy [111]

Answer:

21) falls

22) vertical

23) rises

24) rises

25) falls

26) horizontal

27) rises

28) horizontal

29) falls

Step-by-step explanation:

We shall use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ to calculate the slopes of the line passing through each pair of point.

21: (3,1), (2,6)

The slope is $m=\frac{6-1}{2-3}$

$\implies m=\frac{5}{-1}=-5$ .

A negative slope means this line falls

22) (-2,5), (-2,4)

The slope is $m=\frac{4-5}{-2- -2}=\frac{-1}{0}$ = undefined

An undefined slope means this line is vertical

23) The given point is (0,8) (2,10)

The slope is $m=\frac{10-8}{2-0}=\frac{2}{2}=+1$

A positive slope means this line rises

24) The points are (-3,-3), (3,1)

The slope is $m=\frac{1--3}{3--3}=\frac{4}{6}=+\frac{2}{3}$

A positive slope means this line rises

25) The points are: (5,0) (6,-2)

Slope: $m=\frac{-2-0}{6-5}=\frac{-2}{1}=-2$

A negative slope means this line falls

26) The points are (-2,-8) , (5,-8).

Slope: $m=\frac{-8--8}{5--2}=\frac{0}{7}=0$

A zero slope means this line is horizontal

27) The points are: (-1,2) , (5,3)

Slope: $m=\frac{3-2}{5--1}=+\frac{1}{6}$

A positive slope means this line rises

28) The points are: $(\frac{1}{2},4)$ , (-1,4)

Slope: $m=\frac{4-4}{-1-\frac{1}{2}}=\frac{0}{\frac{1}{2}}=0$

A zero slope means the line is horizontal

29) The points are: $(4,\frac{1}{2}), (5,\frac{1}{4})$

Slope: $m=\frac{\frac{1}{4}-\frac{1}{2}}{5-4}=-\frac{1}{4}$

A negative slope means this line falls.

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4 years ago

Tammy, Kelley, and Jim love reading books. Tammy read 7.75 hours last month. Kelley read 7.69 hours. Jim read 7.075 hours. Who s

kramer

Answer:

Tammy

Step-by-step explanation:

Tammy read 7.75 hours last month. Kelley read 7.69 hours

Jim read 7.075 hours.

We would arrange the hours of reading from smallest to the highest

7.075, 7.69, 7.75

The person who spent the most time reading is the person with the highest number of hours that was spent reading. This person is Tammy.

Therefore, person who spent the most time reading is Tammy because she read for 7.75 hours.

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3 years ago

The number of hearing aids that needs to be produced and sold is??

juin [17]

Answer:

14.36 AND 9.89 ===> 14 or 10

Step-by-step explanation:

Y = Ax2 Bx C

Enter coefficients here >>> -4 97 -568

Standard Form: y = -4x²+97x-568

-24.25 -12.125 147.015625 -588.0625 20.0625

Grouped Form: No valid Grouping

Graphing Form: y = -4(x-12.13)²+20.06

Factored Form: PRIME

Solution/X-Intercepts: 14.36 AND 9.89

Discriminate =321 is positive, two real solutions

VERTEX: (12.13,20.06) Directrix: Y=20.13

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3 years ago

Mary​'s car will go 261 miles on 14.5 gallons of gasoline in highway driving.

Mary's car will go 261 miles on 14.5 gallons of gasoline in highway driving.