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Ksivusya [100]
3 years ago
5

1. A Toyota Prius is able to drive 565 miles on 11.9 gallons of gasoline (highway driving). A Honda Accord can drive 619 miles o

n 17.2 gallons of gasoline (highway driving).
a. Which car gets better gas mileage? (1 point)
b. Calculate the difference in costs if you drive a distance of 300 miles with each car, if gasoline is $3.19 per gallon? (2 pts. each)
Mathematics
1 answer:
Zinaida [17]3 years ago
3 0
The Toyota Prius gets the better mileage than the Honda Accord
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Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2feet. What is the length of fenc
kolbaska11 [484]

Answer:

110 ft  

Step-by-step explanation:

The length of fencing is four times the perimeter of one garden.

The formula for the perimeter of a rectangle is  

P = 2l + 2w

The total perimeter for all four rectangles is

P = 4× (2l + 2w) = 8l + 8w

Data:

 l = 9¼ ft

w = 4½ ft

Calculation:

P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft

The total length of fencing is 110 ft.

4 0
2 years ago
PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe
antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

x=\dfrac{y}{3}   ...(i)

x+y=y^2-5       ...(ii)

Put value of x from (i) in (ii)

\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

7 0
2 years ago
Need help with this plz
gogolik [260]

Answer:

x =  \frac{ - 24 \pm \sqrt{ - 288} }{4}  \\  =  \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\  =   \frac{ - 24 \pm \sqrt{ - 1}  \sqrt{ {12}^{2} } \sqrt{2}  }{4} \\  =   \frac{ - 24 \pm i 12\sqrt{2}  }{4} \\  =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\=  -  6  \pm \: i3 \sqrt{2}

3 0
2 years ago
3x+2y=-4<br><br>I need help solving this. Pease help
marta [7]
Steps to solve:
3x+2y=-4
3x=-4-2y
x=- \frac{4}{3}- \frac{2}{3}y [/tex]
6 0
3 years ago
Five gerbils cost p dollars. How many dollars will it cost to buy 1 gerbil? How many dollars will it cost to buy g gerbils? How
Fudgin [204]
5 gerbils = p dollars
1 gerbil = p/5 dollars
g gerbils = pg / 5 dollars

5/p gerbils = 1 dollar
5d/p gerbils = d dollars
4 0
2 years ago
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