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otez555 [7]
3 years ago
11

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under

the age of 12.
Write a system of equations to represent the given scenario. Use the variables “a” for adults and “c” for children.
Then, solve the system of equations algebraically. Show your work.
Explain what the solution to the system of equations represents in the context of the problem.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

(20-C)15+10C=225

Step-by-step explanation:

20 TICKETS

Adults = (20 - the number of children) x $12

(20-C)15+10C=225

300 - 15C + 10C = $225

300 - 5C = 225

-5C = -75

C= 15

A = 5

Children 15 x $10 = $150

Adults 5 x $15 = $75

$150 + $75 = $225

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12 times a number decreased by 5 is no more than 55
lions [1.4K]

Answer:

  12n -5 ≤ 55

Step-by-step explanation:

12 times a number (represented by n) is 12n.

"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.

"Is no more than 55" means "is less than or equal to 55".

Then the expression written using math symbols is ...

  12n -5 ≤ 55

6 0
3 years ago
Read 2 more answers
Maya owns a house valued at $432,600. She still owes $233,458 on her mortgage. How much equity does she have in the house? (3 po
IRISSAK [1]

Answer:

$199,142

Step-by-step explanation:

Given that

The value of the house i.e. assets is $432,600

The mortgage i.e. liability is $233,458

We need to find out the equity

As we know that

The accounting equation is

Total assets = Total liabilities + total equity

$432,600 = $233,458 + total equity

So, the total equity is

= $432,600 - $233,458

= $199,142

7 0
3 years ago
Use the distributive property to expand the expression 11(3x+5y)
professor190 [17]

YES THIS IS A GOOD QUESTION LET ME TRY THE ANSWER AND THEN I WILL EDIT THE ANSWER

7 0
3 years ago
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A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use
lawyer [7]

Answer:

35.32

Step-by-step explanation:

The regression equation usually demonstrated as

y=a+bx.

In the above equation y is the dependent variable, x is the independent variable, a is the intercept of regression line and b is the slope of regression line.

The given regression equation is

y^=0.06x+14.2

The predicted value of y can be computed by simply putting the value of x in above equation.

So,

y^=0.06(352)+14.2

y^=21.12+14.2

y^=35.32

Thus, the predicted value of y for x=352 is 35.32.

6 0
4 years ago
X2+9x+20 plz help me with it plz​
ICE Princess25 [194]

Answer:

11x + 20

Step-by-step explanation:

x2 + 9x + 20

2x + 9x + 20

11x + 20

Hope this helps!

4 0
3 years ago
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