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Alexeev081 [22]
1 year ago
8

You are planning a skating party at a rink that charges a basic fee of $6.00 and $6.50 per person for catered parties. You don’t

want to spend more than $71.00. Write and solve an inequality to find the number of friends you can invite
Mathematics
1 answer:
Alekssandra [29.7K]1 year ago
4 0

Answer:

y = 6.50x + 6 or 71 = 6.50x + 6

10 people are the max you can invite

Step-by-step explanation:

We have the simple equation

y = 6.50x + 6

6.50x because it it per person

6 because it is a flat one time charge

We want the max to be 71 so that will be our y

71 = 6.50x + 6

We are now going to solve for x

65 = 6.5x

x = 10

Hope it helps! (:

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Timothy makes reduced copies of a photograph that has an actual length of 8 in. Each time he presses the reduce button on the co
Aleksandr-060686 [28]

Answer:

length of the photograph will be 4.2 in. after pressing the button 5 times.

Step-by-step explanation:

By pressing the button, every time size of the photograph gets reduced by 12%.

Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,

L = l(1-\frac{12}{100})^{n}

Where l = Actual length of the photograph

L = length of the reduced image

n = Number of times the button has been pressed

For l = 8 in. and n = 5

L = 8(1-0.12)^{5}

  = 8(0.88)^{5}

  = 4.22 in

L ≈ 4.2 in.

Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.

3 0
2 years ago
LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a b
Sloan [31]
For this case we must find the surface area of a rectangular prism.
 We have then:
 A = 2 * (w * l) + 2 * (w * h) + 2 * (l * h)

 Where,
 w: width
 l: long
 h: height
 Substituting values we have:
 A = 2 * (4 * 6) + 2 * (4 * 2) + 2 * (6 * 2)

A = 88 in ^ 2
 Answer:
 
There will be needed 88 in ^ 2 of giftwrap to cover the box
8 0
2 years ago
PLEASE HELP ME!!!!!!!!!!!
Ahat [919]

Answer:

I'm not sure

Step-by-step explanation:

3 0
1 year ago
Round 0.9998 to 3 decimal places
mojhsa [17]
The answer would be one because  .9998 would round the 9 to a 10 which would round the second 9 and then the third nine to make 1

3 0
1 year ago
Read 2 more answers
State the size of angle OAB, giving a reason for your answer
Alja [10]

Answer:

Angle OAB = 90°

Reason: tangent theorem of a circle

Step-by-step explanation:

The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.

The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.

Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.

Therefore, angle OAB = 90°

5 0
2 years ago
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