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DedPeter [7]
3 years ago
15

3. Brenda's school is selling tickets to a spring musical. On the first day of

Mathematics
1 answer:
Natalija [7]3 years ago
4 0

Answer:

The Answer is that Senior Citizen Tickets cost: $4 and Child tickets cost: $7.

Step-by-step explanation:

Let s = the cost of senior citizen tickets

Let c = the cost of child tickets

The number of tickets sold for each type added together equals the sales for each day. Equations below:

Day 1

3s + 9c = $75

Solve for s:

3s = 75 - 9c

s = 25 - 3c

Day 2

8s + 5c = $67

By substitution:

8(25 - 3c) + 5c = 67

200 - 24c + 5c = 67

-19c = -133

c = -133 / -19 = $7 cost for child tickets.

Solve for s:

s = 25 - 3c

s = 25 - 3(7)

s = 25 - 21 = $4 cost for senior citizen tickets.

Proofs:

Day 1

3s + 9c = $75

3(4) + 9(7) = 75

12 + 63 = 75

75 = 75

Day 2

8s + 5c = $67

8(4) + 5(7) = 67

32 + 35 = 67

67 = 67

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5 0
2 years ago
You have $550 in a savings account that earns 3% simple interest each yaer. How much will be in your account in 10 years?
bija089 [108]
Looking at the given question, we can find several important information's and based on thm we can easily calculate the amount after 10 years.
Principal amount = $550
Rate of interest per year = 3%
Number of years the amount is to be kept = 10 years
Now we get put these information's in the formula of finding amount of money kepy in simple interest.
Amount = P(1 + rt)
Where
p = principal amount
r = rate of interest
t = Time
Then
Amount = 550[1 + (3/100) * 10)]
             = 550 [1 + 3/10]
             = 550 * (13/10)
             =  55 * 13
             = 715 dollars
So the total amount in my account will be $715
4 0
3 years ago
5×143=use distributive property
Alex777 [14]
5*(143)
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Hope this helps!
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5 0
3 years ago
Read 2 more answers
Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1
bekas [8.4K]

The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>

Suppose that there is a line segment \overline{AB}such that a point P(x,y) lying on that line segment \overline{AB} divides the line segment  \overline{AB} in m:n, then, the coordinates of the point P is given by:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)

where we have:

  • the coordinate of A is (x_1, y_1)
  • and the coordinate of B is (x_2, y_2)

We're given that:

  • Coordinate of A is (x_1, y_1) = (-7,2)
  • Coordinate of B is (x_2, y_2) = (9.-6)
  • The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)

Let the coordinate of P be (x,y), then we get the values of x and y as:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)

Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

Learn more about a point dividing a line segment in a ratio here:

brainly.com/question/14186383

#SPJ1

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Find an expression which represents the difference when (10x-6y)(10x−6y) is subtracted from (7x-4y) in simplest terms.
ruslelena [56]
The answer for this is 3x-2y
5 0
3 years ago
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