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V125BC [204]
3 years ago
8

Adult tickets to a play cost $22.00 Tickets for children cost $15.00. Tickets for a group of 11 people cost a total of $228.00.

Write and solve a system of equations to find how many children and how many adults were in the group.
Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0
There would be 2 children and 9 adults

Explanation: $22x 9 adults= 198
$15x 2 children= 30
Then you add them together and 198+30 = $228
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The area of a gymnasium is (27x + 18) square units. Factor 27x + 18 to find possible dimensions of the gymnasium.
Veronika [31]

Answer:

Dimension of gymnasium= 9 units and (3x+2) units.

Step-by-step explanation:

We have been given the area of a gymnasium is 27x+18 square units. We are asked to find possible dimensions of gymnasium by factoring our given expression for area of gymnasium.

Let us factor our greatest common factor of our given expression. We can see that 9 is the GCF of our given expression.

(9\times 3x+9\times 2)

Upon factoring out 9 from our given expression we will get,

9(3x+2)

Therefore, the possible dimensions of the gymnasium will be 9 units and (3x+2) units as we will get the same area for gymnasium by multiplying these both dimensions.  

8 0
2 years ago
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schepotkina [342]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inch
solong [7]

Answer:

11.781 cubic inches (round accordingly)

Step-by-step explanation:

The formula for the volume of a cone is:

V=\frac{1}{3}\pi  r^{2} h

where r is the radius and h is the height.

For our ice cream cone:

d = 3 inches

r = 1.5 inches (the radius is half of the diameter)

h= 5 inches

So all we have to do is plug in our values and solve for the volume:

\frac{1}{3}\pi  (1.5)^{2}(5) = 11.781

So our final answer is around 11.8 cubic inches.

3 0
3 years ago
To show that TRK= TUK by the SAS postulate, what additional information is necessary?
Anni [7]

Answer:

RTK = UTK

Step-by-step explanation:

6 0
3 years ago
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Fill in the missing number to complete the factorization:
IrinaVladis [17]
The last terms must multiply to the last terms (confusing)

example

if ax^3+bx^2+c+d=(ex+f)(gx+h)(jx+k) then
d=fhk


so


70 is last term
we got 2 and 5
2*5*?=70
10*?=70
divide by 10
?=7

the missing number is 7
6 0
3 years ago
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