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ANTONII [103]
2 years ago
12

A theater wants to take in at least $2000 for the matinee. Children’s tickets cost $5 each and adult tickets cost $10 each. The

theater can seat up to 350 people. Find five combinations of children and adult tickets that will make the $2000 goal.
Mathematics
1 answer:
nikitadnepr [17]2 years ago
5 0

Step-by-step explanation adults=50x10=500 children 300x5=1500 1500 +500=2000

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Kayla needs $14,000 worth of new equipment for his shop. He can borrow this money at a discount rate of 10% for a year.
arlik [135]

Answer:

$15400

Step-by-step explanation:

Principle amount, P = $14000

Time, T = 1 year

Rate of interest, R = 10%

We know that maturity amount,

A = P\left (1+\frac{R}{100} \right )^{n}

where n is number of years

A = P\left (1+\frac{R}{100} \right )^{n}

A = 14000\left (1+\frac{10}{100}\right )^{1}

A = 14000\left (1+\frac{1}{10}\right )

A = 14000\left (\frac{11}{10}\right )

A = 15400

The maturity amount is $15400

6 0
2 years ago
In choosing this year 327 voted musical and 115 voted drama. How many more students voted musical than drama
Lapatulllka [165]

Answer:

212 more student voted musical than drama .

Step-by-step explanation:

As given

In choosing this year 327 voted musical and 115 voted drama.

More students voted musical than drama = Total students voted for musical - Students voted for drama .

Putting values in the above

More students voted musical than drama = 327- 115

                                                                      = 212

Therefore 212 more student voted musical than drama .

5 0
3 years ago
Given: is an angle bisector of ∠JMK<br><br><br>Prove: m
astraxan [27]

Answer:

An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.

Given: MN is angle bisector,

then  

\angle JMN \cong \angle NMK            .......  [1]

Congruent angles are  two or more angles that have the same measure.

then;

by definition of congruent angles

[1]⇒ m\angle JMN = m\angle NMK                ......[2]

By the  Angle addition postulates states that if M is in the interior of ∠JMK then,

m\angle JMN+m\angle NMK =m\angle JMK            ......[3]

Now, by substitution property ; substitute the equation [2] in [3] we get;

m\angle JMN+m\angle JMN =m\angle JMK                 ......[4]

Like terms terms whose variables  are the same

Combine like terms in equation [4] we get

2 \cdot m\angle JMN=m\angle JMK                      ......[5]

Division property of equality states that you divide the same number to both sides of an equation.

Divide by 2 to both sides in equation [5] , we get

m\angle JMN= \frac{1}{2} m\angle JMK    


5 0
3 years ago
After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
puteri [66]

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

<em />

<em>collect similar terms together</em>

<em />

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

0 + 7 = -b

7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

Learn more about simplification of algebraic expression here: brainly.com/question/8956927

5 0
2 years ago
How do I solve system of equations substitution method??!!?!???
adelina 88 [10]
For example:

x+2y=7
6x+7y=2
__________

x=7-2y *
6*(7-2y)+7y=2 **

__________

x=7-2y
42-12y+7y=2
__________

x=7-2y
-5y=-40
__________

x=7-2y
y=8

x=-9
8 0
3 years ago
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