1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BARSIC [14]
3 years ago
13

Please helppp

Mathematics
1 answer:
tangare [24]3 years ago
3 0

Answer:

Adult: 50 tickets

Child: 34 tickets

Step-by-step explanation:

Let a be the amount of adult tickets

Let c be the amount of child tickets

Equation:

a + c = 84

14a + 9c = 1,006

Step 1: Multiply a + c = 84 with -9, to canceled c.

-9 (a + c = 84)    →  -9a - 9c = -756

14a + 9c = 1006 → 14a + 9c = 1006

Step 2: Combined the 2 equation together, and solved it.

-9a - 9c = -756

<u>14a + 9c = 1006</u>

       <u> 5a</u> = <u>250</u>

        5        5

           a = 50

Step 3: Plug 50 into the one of the equation, and solved it.

a + c = 84 → 50 + c = 84

                  <u>-50         -50</u>

                            c = 34

Answer: Adult tickets (a) = 50 and Child tickets (c) = 34

To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).

You might be interested in
Colin is c years old. His 14 year old sister, Katie, is 4 years younger than Colin. write an expression
Margarita [4]

Answer: C - 4 = 14

Step-by-step explanation: In the expression, "c"<em> </em>is colin's age so, if you subtract 4 years for his age, you get Katie's age, which is 14.

4 0
3 years ago
Round to the nearest hundredth if necessary $4.99 for 13 lb
kherson [118]

Answer:2.81

Step-by-step explanation:

5 0
2 years ago
If you open an account that compounds quarterly in 2020. In what year will it double the starting amount if it has an APR of 3.2
Lerok [7]

Answer:

It will double in the year 2063

Step-by-step explanation:

Let the amount deposited be $x, when it doubles, the amount becomes $2x

we can use the compound interest formula to know when this will happen

The compound interest formula is as follows;

A = P(1+r/n)^nt

In this question,

A is the amount which is 2 times the principal and this is $2x

P is called the principal and it is the amount deposited which is $x

r is the interest rate which is 3.2% = 3.2/100 = 0.032

n is the number of times compounding takes place per year which is quarterly which equals to 4

t is the number of years which we want to calculate.

Substituting all these into the equation, we have;

2x = x(1+0.032/4)^4t

divide through by x

2 = (1+ 0.008)^4t

2 = (1.008)^4t

we use logarithm here

Take log of both sides

log 2 = log (1.008)^2t

log 2 = 2t log 1.008

2t = log 2/log 1.008

2t = 86.98

t = 86.98/2

t =43.49 which is 43 years approximately

Thus the year the money will double will be 2020 + 43 years = 2063

8 0
3 years ago
Select all the correct answers. Steve's doctor has advised him to take protein supplements. He bought two brands, Brand A and Br
Nata [24]

The three inequalities are ...

5a+4b\geq 24\\4a+6b\geq 15\\7a+4b\geq 16

A graph is useful for this. Satisfying the constraint on calcium will satisfy the other constraints. Correct choices include (1, 5), (4, 1).

5 0
4 years ago
Read 2 more answers
Write the number for nine million nine thousand.
Lera25 [3.4K]

Answer:

Nine million nine thousand, is written 9,009,000.

8 0
3 years ago
Other questions:
  • Write a problem involving how much more Than and solve it. Explain how drawing a diagram helped you solve the problem
    8·1 answer
  • 37 (x−5) + 2 = 2 (3−2x)<br><br> Solve for x
    14·1 answer
  • What is -6x = -24<br>13 points
    13·1 answer
  • 7th grade math help me pleaseeee
    14·2 answers
  • Bella had volunteered to feed the dogs at a shelter. The table shows the number of cups of dog food that each dog should be fed
    9·2 answers
  • What is the exact area of a circle with a circumference of 28?
    12·1 answer
  • Please answer this question for me.
    15·2 answers
  • Abargain clothing store is selling 5 shirts for $20.
    5·1 answer
  • Please help me with this. (show work.)
    11·1 answer
  • Wolfman and Dracula we’re having a contest to see who can scare people the most for every three people Dracula scare Wolfman sca
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!