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riadik2000 [5.3K]
3 years ago
7

University Theater sold 556 tickets for a play. Tickets cost $22 per adult

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0
Let A be number of adult tickets brought
Let S be number of senior citizen tickets brought

8492 = 22A + 12S (1)
A = 556 - S (2)

Plug (2) into (1)
8492 = 22(556 - S) + 12S
8492 = 12232 - 22S + 12S
8492 - 12232 = -22S + 12S
-3740 = -10S
-3740/10 = -10S/-10
374 = S
S = 374

Note that there are several more steps you can take to check the answer and/or find A.



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A high school football pennant is in the shape of an isosceles triangle. The base is 18 inches long. The sides meet at an angle
Oksanka [162]

Answer:

The length of each side is 26.3 cm

Step-by-step explanation:

Opposite sides of an isoceles triangle are equal

The isoceles triangle is divided into 2 right-angled triangles so the length of one side can be calculated using trigonometric ratio

When the isoceles triangle is divided, the angle in the right-angled triangle is 20° (1/2 of 40°) and the base is 9cm (1/2 of 18 cm), the hypotenuse side is calculated using trigonometric ratio

Let the length of the hypotenuse side be y

9/y = sin 20°

y = 9/0.3420 = 26.3

Length of each side is 26.3 cm

3 0
3 years ago
6
bezimeni [28]

Answer:

260 stickers

Step-by-step explanation:

Let Gareth's stickers be x.

Hence Cheryl sticker is 160+x;

If Cheryl gave 185 stickers

to Gareth, it means:

Cheryl has at the moment;

160 + x - 185 = x - 25

At this time when Gareth receives 185 he now has:

x+ 185

Also when he receives x +185, he has 3 times Cherry's meaning:

x+185 =3(x-25)

x + 185 = 3x -75

185 + 75 = 3x-2x

260= x

x = 260.

Hence Gareth has 260 stickers

5 0
3 years ago
A growing farming conglomerate increases its water usage at a rate of 5% every year. If it used 48,000 megaliters of water this
romanna [79]

Answer:

Future requirement of water = 115,517 mega-liters

Step-by-step explanation:

Given:

Current requirement of water (C) = 48,000 mega-liters

Increasing rate per year (g) = 5% = 0.05

Number of year (n) = 18 years

Find:

Future requirement of water = ?

Computation:

Future\ requirement\ of\ water = C(1+g)^n\\\\Future\ requirement\ of\ water = 48,000(1+0.05)^{18}\\\\ Future\ requirement\ of\ water = 48,000(1.05)^{18}\\\\ Future\ requirement\ of\ water = 48,000(2.4)\\\\Future\ requirement\ of\ water = 115,517 (Approx)

Future requirement of water = 115,517 (Approx) mega-liters

7 0
3 years ago
Mai has picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake. How many cups does she need for the whole c
Vaselesa [24]

Answer:Mai has picked 1 cup of strawberries for a cake which is enough for 3/4 of the cake. How many cups does she need for the whole cake?

Step-by-step explanation:

5 0
3 years ago
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lys-0071 [83]
The larger number is 9.
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3 years ago
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