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Darya [45]
3 years ago
5

Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spe

nd at the most $170 for the party at the rink, how many people can she invite to her party? Write a let x statement, an inequality and solve.
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

(170 - 50)/8 = X

Step-by-step explanation:

X = amount of people

(170 - 50)/8 = X

Inequality

X = Number of People

50+(8*X) \leq 170

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What is the equation for the line with a slope of - 2/3 that passes through (0, -2)
viktelen [127]

Answer:

y= -2/3x-2

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula

y-y_{1} =m(x-x_{1})

m is the slope. In this case, m is -2/3

y1 is the y coordinate of the point. In this case, it is -2

x1 is the x coordinate. In this case it is 0.

We can substitute these values into the formula

y- -2= -2/3(x-0)

Distribute -2/3

y+2 = -2/3*x + -2/3*0

y+2= -2/3x+0

Subtract 2 from both sides. We want to get y by itself. This is because we want our line to be in y=mx+b form.

y+2-2= -2/3x+0-2

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5 0
3 years ago
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the A
Greeley [361]

Let <em>a</em> be the number in the 10s place and <em>b</em> in the 1s place. Then the original two-digit number is 10<em>a</em> + <em>b</em>.

The sum of the digits is 5:

<em>a</em> + <em>b</em> = 5

Subtract 9 from the original number, and we get the same number with its digits reversed:

(10<em>a</em> + <em>b</em>) - 9 = 10<em>b</em> + <em>a</em>

Simplifying this equation gives

9<em>a</em> - 9<em>b</em> = 9

or

<em>a</em> - <em>b</em> = 1

Add this to the first equation above:

(<em>a</em> + <em>b</em>) + (<em>a</em> - <em>b</em>) = 5 + 1

2<em>a</em> = 6

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Then

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So the original number is 32. Just to check, we have 3 + 2 = 5, and 32 - 9 = 23.

7 0
3 years ago
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8_murik_8 [283]

Answer:

4%

Step-by-step explanation:

1/25 = 0.04 = 4%

5 0
3 years ago
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rewona [7]

Answer: A number is divisible by 2 if the last digit of the number is 0, 2, 4, 6, or 8.

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5 0
3 years ago
What do I have to do?
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This is to do with ratios, the idea behind it is that you see that the side of length 24 is an enlarged version of the side labelled 16. Using this you can see that the ratio of enlargement is 1.5, therefore x = 26/1.5 = 53/2
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