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kondor19780726 [428]

3 years ago

7

the table shows miles driven by a car and the gallons of gas used to drive those miles. how many miles did the car travel on a g

allon of gas?

1 answer:

yawa3891 [41]3 years ago

6 0

Answer:

May we see the graph?

Step-by-step explanation:

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GEOMETRY HELP PLEASE!

Mariana [72]

Answer:

(1, 2 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

C(1, - 2 ) → C'(1, 2 )

5 0

3 years ago

A corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56.Another vendor was selling a bag of 12 for $4.32

ankoles [38]

To decide which one is the better deal, you need to compare them on price per ear. So, the the first vendor is $2.56/8ears= $0.32/ear

the second vendor: $4.32/12 = $0.36/ear

The first vendor with the bag of 8 ears is the better deal!

5 0

3 years ago

Read 2 more answers

Please help it’s due today

pychu [463]

Answer:

x = 2/3

Step-by-step explanation:

cross multiply

-9(x-4) = 10(3x+1)

and then solve the equation

-9x + 36 = 30x + 10

36 = 39x + 10

26 = 39x

x = 2/3

6 0

3 years ago

Read 2 more answers

A piece of wire 28 ft long is cut into two pieces. One piece is used to form a square, and the remaining piece is used to form a

marusya05 [52]

Answer:

Wire should be cut in two parts with the length = 15.69 ft and 12.31 ft

Step-by-step explanation:

Length of the wire = 28 ft has been cut in two pieces.

One piece is used to form a square and remaining piece to form a circle.

Let the length of the wire which forms the square is 'l' ft.

Area of the square = (side)²

Perimeter of the square = 4(side) = l

Length of one side = $\frac{l}{4}$

So, the area of the square = $\frac{l^{2}}{16}$ ft²

Now length of the remaining part = perimeter of the circle = (28 - l) ft

2πr = (28 - l)

r = $\frac{28-l}{2\pi }$

Area of the circle formed = πr²

= $\frac{\pi(28-l)^{2} }{4(\pi )^{2} }$

= $\frac{(28-l)^{2}}{4\pi }$

Combined area of the square and circle

= $\frac{l^{2}}{16}$ + $\frac{(28-l)^{2}}{4\pi }$

= $\frac{l^{2}}{16}$ + $\frac{(28-l)^{2}}{4\pi }$

Now to maximize the area we will find the derivative of the area with respect to l.

$\frac{dA}{dl}=\frac{d}{dl}[\frac{l^{2}}{16}+\frac{(28-l)^{2}}{4\pi}]$

= $\frac{d}{dl}[\frac{l^{2}}{16}+\frac{(28)^{2}+l^{2}-56l }{4\pi }]$

= $\frac{2l}{16}+\frac{(2l-56)}{4\pi }$

Now equate the derivative to zero.

$\frac{2l}{16}+\frac{(2l-56)}{4\pi }$ = 0

$(2l-56)=-\frac{2l}{16}\times 4\pi$

$(2l-56)=-\frac{\pi l}{2}$

$2l+\frac{\pi l}{2}=56$

$\frac{(4l+l\pi )}{2}=56$

l(4 + π) = 112

l(4 + 3.14) = 112

l = $\frac{112}{7.14}$

l = 15.69 ft

Length of the other part = 28 - 15.69 = 12.31 ft

Therefore, wire should be cut in two parts with the length = 15.69 ft and 12.31 ft

8 0

3 years ago

Sandra's sister's car can travel 12.5 more miles on a gallon of gas than Sandra's truck can. If Sandra's truck will use one gall

GalinKa [24]

Answer: R = 37.5 miles per gallon.

Step-by-step explanation:

Sandras truck need one gallon to drive 25 miles, then the rate of Sandra's truck is 25 miles per gallon.

Her sister's car can travel 12.5 more miles with one gallon, so the car travels

25mi + 12.5mi = 37.5 miles with one gallon, the rate is

R = 37.5 miles per gallon.

Now, with that number you can multiply the amount of gallons that you have and you will obtain the total amount of miles that you can travel with that amount of gallons.

5 0

3 years ago