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Schach [20]
3 years ago
15

A car used 1/ 64 of a gallon of gas to drive 1 4of a mile. At this rate, how many miles can the car travel using 1 gallon of gas

?
Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer: 16 miles

Step-by-step explanation:

The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:

1/64 gallons            :              1/4 miles

1 gallon                   :                  x miles

Cross multiply:

1/64x = 1/4

x = 1/4 ÷ 1/64

= 1/4 * 64/1

= 16 miles

On one gallon of gas, the car can travel 16 miles.

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On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)
xz_007 [3.2K]

Answer:

P = 10 + 2\sqrt{53} units

Step-by-step explanation:

Given

Shape: Kite WXYZ

W (-3, 3),  X (2, 3),

Y (4, -4),  Z (-3, -2)

Required

Determine perimeter of the kite

First, we need to determine lengths of sides WX, XY, YZ and ZW using distance formula;

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

For WX:

(x_1, y_1)\ (x_2,y_2) = (-3, 3),\ (2, 3)

WX = \sqrt{(-3 - 2)^2 + (3 - 3)^2}

WX = \sqrt{(-5)^2 + (0)^2}

WX = \sqrt{25}

WX = 5

For XY:

(x_1, y_1)\ (x_2,y_2) = (2, 3)\ (4,-4)

XY = \sqrt{(2 - 4)^2 + (3 - (-4))^2}

XY = \sqrt{-2^2 + (3 +4)^2}

XY = \sqrt{-2^2 + 7^2}

XY = \sqrt{4 + 49}

XY = \sqrt{53}

For YZ:

(x_1, y_1)\ (x_2,y_2) = (4,-4)\ (-3, -2)

YZ = \sqrt{(4 - (-3))^2 + (-4 - (-2))^2}

YZ = \sqrt{(4 +3)^2 + (-4 +2)^2}

YZ = \sqrt{7^2 + (-2)^2}

YZ = \sqrt{49 + 4}

YZ = \sqrt{53}

For ZW:

(x_1, y_1)\ (x_2,y_2) = (-3, -2)\ (-3, 3)

ZW = \sqrt{(-3 - (-3))^2 + (-2 - 3)^2}

ZW = \sqrt{(-3 +3)^2 + (-2 - 3)^2}

ZW = \sqrt{0^2 + (-5)^2}

ZW = \sqrt{0 + 25}

ZW = \sqrt{25}

ZW = 5

The Perimeter (P) is as follows:

P = WX + XY + YZ + ZW

P = 5 + \sqrt{53} + \sqrt{53} + 5

P = 5 + 5 + \sqrt{53} + \sqrt{53}

P = 10 + 2\sqrt{53} units

6 0
3 years ago
Four different lines are drawn on a coordinate plane. The lines all pass through the origin each each line passes through one po
Cloud [144]

Answer:

it's C

Step-by-step explanation:

5 0
3 years ago
What is the length of segment AB?
attashe74 [19]

Answer: A

Step-by-step explanation:

7=\frac{6+AB}{2}\\14=6+AB\\AB=\boxed{8}

8 0
1 year ago
Can anyone help with this?
frutty [35]
1. Is 8 seconds
2. I think is 15 quartz sorry if I’m wrong
7 0
3 years ago
Read 2 more answers
Jaime has 6 quarters and some dimes in his pocket . The total value of the coins in 4.50. How many dimes does he have in his poc
Alexxandr [17]

Hi there! :)

<u>Answer:</u>

Jaime has 30 dimes in his pocket.


Step-by-step explanation:

First off, you need to know that:

A <em>quarter</em> is equal to = <u>$0.25</u>

A <em>dime</em> is equal to = $0.10


Jaime has 6 quarters, which means that he has 6 times $0.25:

6 × 0.25 = <u>$1.50</u>


Jaime has a total of $4.50 → Subtract the amout of money represented by the quarters and you'll be left with the amout of money represented by the dimes:

4.50 - 1.50 = <u>$3</u>


Jaime has $3 worth of dimes in his pocket. In order to know how many dimes $3 represents, you'll need to divide "3" by 0.10, which is what 1 dime is worth:

3 ÷ 0.10 = <u>30</u> → YOUR ANSWER


There you go! I really hope this helped, if there's anything just let me know! :)

6 0
2 years ago
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