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Aleksandr-060686 [28]
3 years ago
7

HELP there due to tomorrow :/

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

First Answer:

$15,060.

Second Answer:

9.96 miles.

Third Answer:

$3.27.

Step-by-step explanation:

First Question:

Cost of the rented car = 50 + 0.20 = $50.20

How much did Matt's family spend for the car:

1 mile = $50.20

300 miles = ?

300 × 50.20

= $15,060.

Second Question:

If Hayden spent $500 for her rented car, how many miles did she drive:

$50.20 = 1 mile

$500 = ?

500 ÷ 50.20 = 9.96 miles.

Third Question:

What is the cost per gallon of gas:

24 gallons = $78.48

1 gallon = ?

78.48 ÷ 24 = $3.27.

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A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
3 years ago
A rectangle is 3 inches long and 2x inches wide. The value of the perimeter (in inches) is equal to the value of the area (in sq
Sergio [31]
The perimeter of the rectangle is equal to the doubled sum of the sides, and the area is equal to the product of the sides. So we have the following equation

3 x 2x = 2(3 + 2x)
6x = 6 + 4x
2x = 6
x = 3
8 0
3 years ago
The Reel Good Cinema is conducting a mathematical study. In its theater, there are 200 seats. Adult tickets cost $12.50 and chil
Vlada [557]
If the goal is to sell at least $1500 worth of tickets then what you can do is add the 12.50+ 6.25 which well equal 18.75. Then you can divide 1500/18.75 which eqauls to 80 meaning at least 80 seats must be sold
3 0
3 years ago
7. (07.03)
fiasKO [112]

Answer:

X=1

Step-by-step explanation:

5(2x - 8) + 15 = -15

10x - 45 + 15 = -15

10x - 25 = -15

10x = 10

X= 1

8 0
3 years ago
Answer???????im confusedp
katen-ka-za [31]

Answer: not sure what the question is asking for?

Step-by-step explanation:

(-1,-1) and (3,7) are the points though.

give this brainliest if this helped!

8 0
2 years ago
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