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Murljashka [212]
3 years ago
10

Write and graph an equation to represent the situation.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
5 0
Distance=amount of gas times miles per gallon
distance=y
amount of gas=x
mpg=?

given
y=300
x=10

300=10 times ?
divide both sidesj by 10
30=?

equation is
y=x times 30 or
y=30x
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A city is building a fence around a rectangular playground if the perimeter of the playground is 104 feet and the length of one
34kurt

Answer:

20 ft

Step-by-step explanation:

We know that

Perimeter of rectangle = 2(l + w)

Let the width be w

=> 104 = 2(32 + w)

=> 104/2 = 32 + w

=> 52 = 32 + w

=> 52 - 32 = w

=> 20 = w

Hence z

Width of playground is 20 ft

8 0
2 years ago
Read 2 more answers
Find an equation of the circle that has center (-2, 6) and passes through (-6, 1).
Darya [45]

Answer:

<u><em>(x+2)^2 + (y-6)^2 = 41</em></u>

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2

So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:

(x+2)^2+(y-6)^2=r^2

Next, we need to find the radius, and one of the points is already known, being (-6, 1)

With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.

To find a:

-2 to -6 = change of 4

To find b:

6 to 1 = change of 5

Next, write out the equation for this:

4^2+5^2=c^2

16+25=c^2

41=c^2

c = √41

The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.

(x+2)^2 + (y-6)^2 = 41

Hope that helps.

8 0
3 years ago
Which fraction represents the ratio 9 to 6 in simplest form?
d1i1m1o1n [39]
You have to divide both 9 & 6 by their greatest common factor which is 3 so the answer is 3
               _
               2

7 0
3 years ago
If you earn $33 in eight hours at that rate how much would you earn in five hours
Anastaziya [24]
Answer:

11

Step by Step Explanation:

Step 1) Find our how much you make in 5 hours, you make 33 in eight hours so it means 8-3=5

Step 2) So you have 3, simply divide 33 with 3 which equals 11

4 0
3 years ago
Mr. Garza has a picture that measures 4 by 12 inches. It must be reduced so that the longest side measures 4 inches to fit in th
likoan [24]

Answer: The length of the shorter side is 1\frac{1}{3} inches (option C).

Step-by-step explanation:

  • The ratio of the original picture is \frac{4}{12}.
  • The ratio of the <em>new</em> picture is \frac{x}{4}.
  • In order to get the longest side to 4, we divided by 3. As a result, we must divide 4 (the original shorter side) by 3 to find the new length.
  • \frac{4}{3} = 1\frac{1}{3}
7 0
3 years ago
Read 2 more answers
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