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kow [346]
3 years ago
15

The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks

in California. Which of the following equations would you use to find the number of State Parks in
Mathematics
1 answer:
Ronch [10]3 years ago
4 0

Answer:

you would set it up as (85 - 36) * 3 = x

Step-by-step explanation:

you need to subtract 36 from 85 to get 49, then multiply it by 3 to get 147 because since the amount of state parks in cali is 36 more than 1/3 of the state parks in florida, you would do the opposite operations to figure out how many state parks florida has.  

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Nataly_w [17]
<h3>Answer: 2 < x < 7</h3>

==================================================

Explanation:

We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.

Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)

In symbols we say

5x - 10 < 25

We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.

Put the two inequalities together and we get 0 < 5x - 10 < 25

------------

Solve for x

0 < 5x - 10 < 25

0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides

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10/5 < 5x/5 < 35/5 ... dividing all sides by 5

2 < x < 7

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3 years ago
Both the football and volleyball teams have games today. The football team plays every 7 days. The volleyball team plays every 3
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Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be <em>any number</em>.

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This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

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And we solve from there:

4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

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None of the offered choices is correct.

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