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Svetach [21]
3 years ago
10

There are a total of 75 students in 3 classes.

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0
Each class needs 60,150 popsicle sticks
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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

8 0
3 years ago
Find the value of x.<br> 48°<br> (7x + 13)<br> A. 7<br> B. 3<br> C. 11<br> о<br> D. 5
Agata [3.3K]

Answer:

D

Step-by-step explanation:

The given angles are vertically opposite and congruent , then

7x + 13 = 48 ( subtract 13 from both sides )

7x = 35 ( divide both sides by 7 )

x = 5 → D

7 0
3 years ago
a model ship is built to a scale of 1 centimeter: 5 meters. the length of the model is 30 centimeters. what is the actual length
kifflom [539]
The answer is 150 centimeters
5 0
3 years ago
-3x+10=34 solve for x
goblinko [34]
<h3>Answer:</h3><h3>x=−8</h3><h3 />

Step-by-step explanation:

<h3>Let's solve your equation step-by-step.</h3>

−3x+10=34

<h3>Step 1: Subtract 10 from both sides.</h3>

−3x+10−10=34−10

−3x=24

<h3>Step 2: Divide both sides by -3.</h3><h3 />

−3x/−3 = 24/−3

<h3>x=−8</h3>
5 0
3 years ago
Read 2 more answers
Of the total number of pages in a book, 62% have pictures and the rest have no pictures. There are 310 pages with pictures in th
nasty-shy [4]

Answer:

500 total pages. 190 pages with no pictures.

Step-by-step explanation:

310 is 0.62 of the total pages. 310 divided bye 0.62 is 500.

500 minus 310 is 190 pages with no pictures.

Hope this helps!

3 0
3 years ago
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