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Lena [83]
3 years ago
14

Pine Bluff Middle School is having its annual Spring Fling dance, which will cost \$400$400dollar sign, 400. The student treasur

er reported that the dance fund has \$75$75dollar sign, 75 left over from last year. Each ticket to the dance costs \$4$4dollar sign, 4. Let ttt represent the number of tickets sold. Write an inequality to determine how many tickets must be sold to pay for this year's dance. What is the minimum whole number of tickets that must be sold to fund the dance?
Mathematics
2 answers:
nikklg [1K]3 years ago
7 0

The <em><u>correct answers</u></em> are:

The inequality is 75+4t ≥ 400, and they must sell at least 82 tickets.

Explanation:

t is the number of tickets sold. They start out with $75, so that is where our inequality begins. Each ticket is $4; this gives us the expression 4t. Together with the $75 carry over, we have 75+4t.

They must make at least $400 to pay for the dance. This means it must be more than or equal to 400; this gives us 75+4t ≥ 400.

To solve this, first subtract 75 from each side:

75+4t-75 ≥ 400-75

4t ≥ 325

Divide both sides by 4:

4t/4 ≥ 325/4

t ≥ 81.25

We cannot sell a portion of a ticket, so we round. While mathematically this number would "round down," if they only sell 81 tickets, they will not have enough money. Therefore we round up to 82.

Burka [1]3 years ago
5 0

Let

t---------> represent the number of tickets sold

Part a) Write an inequality to determine how many tickets must be sold to pay for this year's dance

we know that

4t+75 \geq 400\\ 4t \geq (400-75)\\ 4t \geq 325\\ t \geq 325/4\\ t \geq 81.25

therefore

the answer Part a) is

The inequality to determine how many tickets must be sold to pay for this year's dance is equal to t \geq 81.25

Part b) What is the minimum whole number of tickets that must be sold to fund the dance?

if

t \geq 81.25

then

the minimum whole number is 82

therefore

the answer Part b) is

82

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5 0
3 years ago
I need help with this and I don’t understand it
DochEvi [55]

Lets break it down:

The bottom right picture shows an approximation of what 1 wingspan length is, and the goal is to <u>estimate </u>lengths.

A. 1 wing is approx. 7 meters. To find the wingspan of the plane just do 7 meters multiplied by 2 = 14 meters (approx wingspan). Now we convert (remember, to the nearest foot!)

14 meters = 45.93 ft

Round it to the nearest foot = 46 ft is your approx. wingspan.

B. The height. This is one is a little tricky! Lets try to use what we know:

1 wing is approx. 7 meters. Since these are approximations, lets say half of one wing is <u>roughly</u> the size of the height of the plane. Since these are approximations I'd say 4 meters.

4 meters = 13 ft (rounded).

<em>I checked online for the specs of the Lysander and the exact height is 14 ft 6 in and wingspan is 50 ft. </em>This means our approximations were correct!

C. The length would be 10 ft + 7 meters

10 ft = 3 meters (rounded)

3 meters + 7 meters = 10 meters

<em>(converting to meters then to ft at the end because it's less messy)</em>

10 meters = 33 ft (rouned)

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(the real length is 30 ft 6 in)

This means our approximations were correct once more.

Hopefully this helped you and made your night/day easier.



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Therefore, the LRN sides is 7/3 of the corresponding side of LSP.


Then, it states that the area of LSP = 50, and area of a triangle is (1/2)bh, so we set up the equation


Area of LSP = (1/2)bh = 50 ← Remember how the corresponding sides are 7/3 of LSP? Therefore, the area of LRN:


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= (49/9)(1/2)bh ← From LSP, we know that (1/2)bh = 50, so plug that in

= (49/9)*50 ≈ 272.222 units ²

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