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TEA [102]
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.
Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

Answer:

4 is the maximum number of ride tickets she can buy

Step-by-step explanation:

Here, r represents the number of ride tickets and f represents number of food tickets.

The system of inequalities is given as:

r+f\geq 16                         ....[1]

4r+2f\leq 40                    .....[2]

To solve Mathematically:

Multiply equation [1] by -2 we have;

-2r-2f \leq -32               .....[3]

Add equation [2] and [3] we have;

2r \leq 8

Divide both sides by 2 we have;

r \leq 4

Since r must be less than or equal to 4.

You can also see the graph of the given system of inequalities as shown below.

The intersection point is, (4, 12)

Therefore, the maximum number of ride tickets she can buy is, 4

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tatiyna

Answer:

(4,2.5)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve for p<br> 3+|1+p|=12
Usimov [2.4K]
Subtract 3 from both sides

simplify 12 - 3 to 9

break down the problem into these two equations

1 + p = 9 and -(1 + p) = 9

solve the first equation 1 + p = 9 and that would be 8 since 1 + 8 = 9 is true.

solve the second equation -(1 + p) = 9 and just simplify brackets and add 1 to both sides then add 9 + 1 and lastly multiply both sides by -1 and p = -10.

Gather both solutions

Answers: p = -10, 8


5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bn%7D%20%20%3D%20226%20%20" id="TexFormula1" title=" {2}^{n} = 226 " alt=" {2
Rudik [331]
N equals to 7.82 (to 2 decimal places)

5 0
3 years ago
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Find the numbers in d blank
Hunter-Best [27]
The missing numbers would be 12-6
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3 years ago
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Everyone please answer one of these my birthday tuesday but i might be in trouble if i fail this :(
Andreas93 [3]

Answer:

11. b

10.d

9.c

7.b

1.d

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please give brainiest

Step-by-step explanation:

11.

3/x-4=7/x

*cross multiply

3x=7 (x-4)

3x=7x-28

28=7x-3x

28=4x

x=7

10.

SOHCAHTOA

Cos☆=11/14

cos^-1 (11/14)

☆=38.21 degrees

9.

MLN CONGRUENT TO WBN

ML/WB=LN/BN=MN/WN

LN/BN=10/6

ML/WB

24/x=10/6

24x6=10x

144÷10

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6^2+14.4^2

=243.36

squareroot

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8 0
2 years ago
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