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Anastaziya
1 month ago
12

A ballpark sells bags of popcorn for $1 each and bags of peanuts for $2 each. Hector will buy x bags of popcorn and y bags of pe

anuts. He doesn't want to buy more than 8 bags to feed his group of friends. He has at most $14 to spend.
This problem can be modeled by a system of inequalities. Which graph shows this system's solution in purple?

Mathematics
1 answer:
tester [12.3K]1 month ago
6 0

Answer:

Hector will purchase 6 bags of peanuts and 2 bags of popcorn.

Step-by-step explanation:

His plan includes buying 6 peanut bags for a total of $12 and 2 popcorn bags totaling $2. He aimed for 8 bags of snacks overall, with a maximum budget of $14. Hope this is helpful!!!:)

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I increase a number by 24% the answer is 6014 what number did I start with
babunello [11817]

Answer:

1443.36

Step-by-step explanation:

6014 multiplied by.24 equals 1443.36

I hope this is helpful

8 0
1 month ago
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a
AnnZ [12381]

Response: The following comparison is made.

Detailed explanation:

At the playground, a climbing structure is 6 feet high and stretches 4 feet horizontally.

The slope can be calculated as vertical height divided by horizontal length.

m_1=  6/4 = 3/2 = 1.5

In contrast, a climbing structure in the gym stands 10 feet tall, extending 6 feet horizontally.

Therefore, slope, m_2=  10/6 = 5/3 = 1.67 (approximately)

As such, m_1 < m_2

Thus, the slope of the first climbing structure is less than that of the second.


5 0
1 month ago
Read 2 more answers
In right triangle qrs, angle r is a right angle. The altitude rt is drawn to hypotenuse qs. If qr is 20 and qs is 25 then find t
lawyer [12517]

Answer:

qt's length = 16

Step-by-step explanation:

The problem states that qrs is a right triangle,

where qr = 20

          sr =?

          qs = 25

          qt =?

1)

Calculate sr

hypotenuse² = base² + height²

sq² = sr² + rq²

25² - 20² = sr²

sr = √(25² - 20²)

sr = 15

2)

When altitude rt is dropped to hypotenuse qs, it creates

two right triangles: rtq and rts.

Δrtq

height = rt

base= tq = 25 - x

hypotenuse = qt = 20

Δrts

height = rt

base= ts = x

hypotenuse = sr = 15

Both triangles share the same height, which is rt

Using the Pythagorean theorem:

      Δ rtq                                           Δ rts

hypotenuse² - base² = height²

20² - (25 - x)² = 15² - x²

400 - (625 + x² - 50x) = 225 - x²

400 - 625 - x² + 50x = 225 - x²

-225 - x² + 50x - 225 + x² = 0

-450 + 50 x = 0

50x = 450

x = 450/50

x = 9

Base of Δ rtq = tq = 25 - x

                         tq = 25 - 9

                         tq = 16  

5 0
1 month ago
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A reporter determines a baseball player's batting average, which is a ratio of number of hits to the number of times at bats. Th
Leona [12618]

x:200

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200(x/200) = 200(.2121212121...)

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1 month ago
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Jamie is the accountant of a logistics company. In the month of December, $5,000 of wages remained unpaid. The accounting period
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Wages expenses. 5000
To wages payable. 5000
3 0
17 days ago
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