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OlgaM077 [116]
3 years ago
12

You are selling tickets for a high school play student tickets cost $4 and adult tickets cost $6, you sell 450 tickets and colle

ct 2340, how many of each type of ticket did you sell
Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0
S + A = 450
$4S + $6A = $2340

S + A = 450
-6(S + A = 450)
-6S +-6A = -2700
4S + 6A = 2340

-2S = -360
-2S/-2 = -360/-2
S = 180

S + A = 450
180+ A =450
180-180 + A = 450-180
A = 270

Check
$4S + $6A = $2340
$4(180) + $6(270) = $2340
$720 + $1620 = $2340
$2340 = $2340



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Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf b
Fynjy0 [20]

The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

<h3>What is the range?</h3>

The range is the difference between the maximum and minimum.

Given to us

The standard diameter of a golf ball is 42.67 mm.

The discrepancy in diameter is more than 0.002 mm.

As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.

Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm

Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm

Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

Learn more about Range:

brainly.com/question/3507706

3 0
2 years ago
How to solve word problems wit fractions
AURORKA [14]

Your answer is 1/5 Hope this helps :D

7 0
3 years ago
A pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings. How many different pizzas can be mad
KonstantinChe [14]

Answer:  The total number of  pizzas that can be made from the given choices is 24.

Step-by-step explanation:  Given that a pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings.

We are to find the number of different pizzas that can be made from the given choices.

We have the <em><u>COUNTING PRINCIPLE :</u></em>

If we have m ways of doing one task and n ways of doing the second task, then the number of ways in which we can do both the tasks together is m×n.

Therefore, the number of different pizzas that can be made from the given choices is

N=3\times2\times4=24.

Thus, the total number of  pizzas that can be made from the given choices is 24.

5 0
3 years ago
Can SOMEONE HELP ME with this PLEASE!!!!
makkiz [27]

Answer:

12.4

Step-by-step explanation:

The distance between (7,21) and (-5,18)

d =sqrt( (-5-7)^2 + (18-21)^2)

  = sqrt(( -12)^2 + (-3)^2)

  = sqrt(144+9)

  = sqrt(153)

  =12.36931688

To the nearest tenth

12.4

6 0
3 years ago
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