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lana66690 [7]
3 years ago
11

Jerome will also order t-shirt for the volunteer he will order both adults and child t-shirt . Adults t-shirt are $5 child t-shi

rt are $2.50 .Jerome need at least 200 adults t-shirt . Jerome will spend no more than $1500 on t-shirt Write a system of inequality to model this situation use c for child t-shirt and a for adults t-shirt Inequality 1 __________ Inequality 2 ___________
Mathematics
1 answer:
Gala2k [10]3 years ago
3 0

Answer:

A\geq 200...(1)

5A+2.50C\leq 1500...(2)

Step-by-step explanation:

Let A represent number of adult t-shirts and C represent number of child t-shirts.

We have been given that adults t-shirt are $5 child t-shirt are $2.50, so cost of A adult t-shirts would be 5A and cost of C child t-shirts would be 2.50C.

We have been given that Jerome need at least 200 adults t-shirt. This means the number of adult t-shirts should be greater than on equal to 200.

We can represent this information in an inequality as:

A\geq 200...(1)

We are also told that Jerome will spend no more than $1500 on t-shirt. This means that cost of A adult t-shirts and C child t-shirts should be less than or equal to 1500.

We can represent this information in an inequality as:

5A+2.50C\leq 1500...(2)

Therefore, our required system of inequalities would be:

A\geq 200...(1)

5A+2.50C\leq 1500...(2)

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Three and twenty-nine ten-thousandths
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3 years ago
From the parking lot at red hill shopping center the angle of the top of the hill is about 25 from the base of the hill the angl
eimsori [14]

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

8 0
2 years ago
Landon owns a hybrid SUV that can travel 400 miles on a 15 gallon tank of gas. Determine how many miles he can travel in 6 gallo
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Set this up as a proportion.

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I need someone to help me solve this
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Answer:

see explanation

Step-by-step explanation:

Calculate C by adding corresponding components of A + B

C = \left[\begin{array}{ccc}4\\-7.5\\\end{array}\right] + \left[\begin{array}{ccc}-2.5\\5\\\end{array}\right]

= \left[\begin{array}{ccc}4-2.5\\-7.5+5\\\end{array}\right]

= \left[\begin{array}{ccc}1.5\\-2.5\\\end{array}\right]

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The number of students in a chess club decreased from 27 to 11. What is
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Step-by-step explanation:

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