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Hitman42 [59]
3 years ago
14

At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least

16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
r + f ≥ 16

4r + 2f ≤ 40



What is the maximum number of ride tickets she can buy?

4
6
10
12
Mathematics
2 answers:
evablogger [386]3 years ago
5 0
We can let r be the number of food tickets and f be the number of food tickets. Since Alana can spend at most $40, that means the total of price bought for r and f must be less than or equal to $40. In addition, since Alana buys at least 16 tickets, this also means that the total of r and f is 16. Mathematically, we have these inequalities: (1) 4r + 2f ≤ 40 and (2) r + f ≥ 16 Multiplying -2 in (2), we have 4r + 2f ≤ 40 -2r - 2f ≤ 32 Adding both inequalities, 2r ≤ 8 r ≤ 4 Since r must be less than or equal to 4.Thus the answer is <span>A.</span>
ozzi3 years ago
3 0

Answer:

A

Step-by-step explanation:

4 on EDGE

just did it

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Can anyone help? Thank you.
Tcecarenko [31]

Answer:

  91.8 ft

Step-by-step explanation:

So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.

The tangent function is useful here. By its definition, we know that ...

  TA/BA = tan(∠ABT)

and

  TH/TA = tan(∠HAT)

Then we can solve for TH by substituting for TA. From the first equation, ...

  TA = BA·tan(∠ABT)

From the second equation, ...

  TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)

Filling in the values, we get ...

  TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft

The height <em>h</em> of the tree is about 91.8 ft.

6 0
3 years ago
A company makes 140 bags. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have
sleet_krkn [62]

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.

<h3>What is subtraction?</h3>

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.

Bags that have both zip and button

= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons

= 140 - 21 - 39 - 23

= 57

Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,

n = Bags that have both zip and button + Number of bags with zips but no buttons

   = 37 + 21

   = 78

Hence, the number of bags that zips on them is 78.

Learn more about Subtraction:

brainly.com/question/1927340

#SPJ1

4 0
2 years ago
Read 2 more answers
True or False? A circle could be circumscribed about the quadrilateral below.
KengaRu [80]
The answer is false your welcome
6 0
4 years ago
Read 2 more answers
Find the area of the parallelogram.<br> 6 cm<br> 7.5cm<br> 9cm
lisabon 2012 [21]

Answer: Find the area of the parallelogram. Answer is A=54

6 cm

7.5cm

9cm

Step-by-step explanation: get the base and the height and then multiply

4 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!
frozen [14]
A) \frac{2 \frac{1}{4}}{ \frac{1}{2}}
b)\frac{1}{2} • 2 = 1
so \frac{9}{4} • 2 = \frac{9}{2} cups (which is 4 \frac{1}{2} )
5 0
3 years ago
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