Is the function Quadratic? x 1 2 3 4 5 y 0 3 8 15 24 No Yes

The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while

Alex73 [517]

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

$Tickets = 434$

$Students = \$4.00$

$Non-Students = \$6.00$

$Total = \$2032.00$

Solving (a): Number of students

Represent students with S and non students with N

So:

$S + N = 434$ --- (1)

$4S + 6N = 2032$ --- (2)

Make N the subject of formula in (1)

$N = 434 - S$

Substitute 434 - S for N in (2)

$4S +6(434 - S) = 2032$

Open Bracket

$4S + 2604 - 6S = 2032$

Collect Like Terms

$4S - 6S = 2032 - 2604$

$-2S = -572$

Divide through by -2

$S = 286$

Hence; 286 students attended

Solving (b):

Recall that

$N = 434 - S$

$N = 434 - 286$

$N = 148$

148 non students attended

4 0

2 years ago

Convert 400 centimeters to meters

zaharov [31]

Answer:

4 meters

Step-by-step explanation:

Normally, 100 centimeters should be the normal meter length, but we multiply that by 4 and we get 400 centimeters

5 0

2 years ago

Read 2 more answers

6m^2 + 7n Identify the constant, variable, and terms

Leokris [45]

<h3>Answer:</h3>

Given equation :- 6m² + 7n

where,

Constant = 0.
Variable = m, n.
Terms = 6m² , 7n.

6 0

2 years ago

Lines a and b are parallel. What is the measure of angle s? Enter your answer in the box. s = ∘∘ Horizontal parallel lines a and

VashaNatasha [74]

s = 22 degrees

Assuming I'm interpreting your description accurately, the top right angle of line b will also be 158 degrees because it's a corresponding angle to the top right angle of line a. That means that the top left angle of line b will be a supplementary angle. And supplementary angles add up to 180. So 180 - 158 = 22.

8 0

2 years ago

Read 2 more answers

Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following com

DIA [1.3K]

The total amount is $ 1015.82 and interest amount is $ 165.82

Solution:

The formula for amount when interest is compounded annually is:

$\mathrm{A}=P\left(1+r}\right)^{n}$

Where,

"A" is the total amount

"P" is the principal

"r" is the rate of interest in decimal form

"n" is the number of years

From given, $850 at 2% for 9 years, compounded annually

P = 850

t = 9 years

$r = 2 \% = \frac{2}{100} = 0.02$

Substituting the given values we get,

$A = 850(1+0.02)^9\\\\A = 850 \times 1.02^9\\\\A = 850 \times 1.1950\\\\A = 1015.82$

Thus total amount is $ 1015.82

Interest amount = Total amount - principal

Interest amount = 1015.82 - 850

Interest amount = 165.82

Thus total amount earned is $ 1015.82 and interest amount is $ 165.82

7 0

2 years ago