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natali 33 [55]
3 years ago
15

A caterer charges $500 plus $30 per guest to cater a wedding. Walt and Traci don't want to spend more than $8000 on catering. Wr

ite and solve an inequality in terms of the number of guests, g, that can be invited.
Mathematics
2 answers:
stira [4]3 years ago
7 0

Answer:

The solution is 500 + 30x ≤ 8000; g ≤ 250. Walt and Traci can invite no more than 250 guests

Irina-Kira [14]3 years ago
3 0
500 + 30g <span>≤ 8000
30g </span><span>≤ 7500
g </span><span>≤ 250</span>
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-1.8(5) what’s the product
puteri [66]
The answer is -9 because you have to multiply the two numbers.
8 0
3 years ago
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write the slope- intercept form of the equation of the line parallel to - x+5y=25, passing through the point (-5,-5). simplify
Olenka [21]
To find the equation of a line that is parallel to your original equation and goes through a certain point on a graph, here's what you need to know:
First you need to find the slope of your original equation.
To do that, you need to convert it to slope intercept form (y = mx+b).
Add the x over, and then divide everything by 5 to get the y by itself.
Here's what that would look like (without the small steps that I mentioned):
-x + 5y = 25
5y = x + 25
y = 1/5x + 5

That's the original equation rewritten in slope intercept form.
The m represents the slope, so this equation's slope is 1/5.

Because you are given a point, and now you have a slope, the best and easiest route is using point slope form.
I've seen different versions of the equation base but I prefer y - y(sub1) = m(x - x(sub1))
But since I can't use subscripts in this, I'll use the one with h and k. The h is the x value of the point, and the k is the y value.
(h,k)
Then just substitute the values in and solve for y.
y - k = m(x - h)
y + 5 = 1/5(x + 5)
y + 5 = 1/5x + 1
y = 1/5x - 4

Your final answer is
y = 1/5x - 4
You can double check by using a graph. If the slopes are the same, the lines should be parallel.

I hope that helps. If anything didn't make sense, feel free to ask me.
5 0
3 years ago
Why are these triangles similar?​
Nezavi [6.7K]
The answer is AA

good luck
3 0
3 years ago
Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.
slamgirl [31]

Step-by-step explanation:

Let the two-digit number is xy

<u>This can be written as:</u>

  • 10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

<u>The difference between the number and product of its digits is:</u>

  • d = 10x + y - xy

<u>Rewrite this as below:</u>

d = 10x - xy + y - 10 + 10 =

     x(10 - y) - (10 - y) + 10 =

     (x - 1)(10 - y) + 10

<u>We see that:</u>

  • 0 ≤ x - 1 ≤ 8 according to the condition given above
  • 1 ≤ 10 - y ≤ 10 again according to the condition given above

<u>The value of d is then:</u>

  • 0 + 10 ≤ d ≤ 8*10 + 10
  • 10 ≤ d ≤ 90
<h3>Proved</h3>
7 0
3 years ago
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Write a equation for the line parallel to
Llana [10]
Paralell has same slope
y=mx+b
m=slope
b=yint

same slope so other equation is
y=4x+b

input given point
(2,0)
x=2
y=0
0=4(2)+b
0=8+b
minus 8 both sides
-8=b

the equation is y=4x-8
8 0
3 years ago
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