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brilliants [131]
2 years ago
13

David had been pricing bus fares for a group trip to New York. Three adults and four children must pay $159. Two adults and thre

e children must pay $112. Find the price of an adult’s ticket and the price of a children’s ticket.
Mathematics
1 answer:
maw [93]2 years ago
4 0

Answer: adult ticket cost $51.5

Children's ticket cost $1.125

Step-by-step explanation:

Let x represent the cost of one adult ticket.

Let y represent the cost of one children's ticket.

Three adults and four children must pay $159. This means that

3x + 4y = 159 - - - - - - -1

Two adults and three children must pay $112. This means that

2x + 3y = 112 - - - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 8y = 318 - - - - - - - -3

6x + 24y = 336 - - - - - - -4

Subtracting equation 4 from equation 3, it becomes

-16y = -18

y = -18/-16 = 1.125

Substituting y = 1.125 into equation 1, it becomes

3x + 4×1.125 = 159

3x + 4.5 = 159

3x = 159 - 4.5 = 154.5

x = 154.5/3 = 51.5

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Please answer with steps shown. Thanks!
maks197457 [2]

Answer: q = 40

Step-by-step explanation:

Given the quadratic formula as

x = [-b +/-√(b^2 -4ac)]/2a

b = -14

a = 1

c = q

Difference d between the two roots.

d = [-b + √(b^2 -4ac)]/2a - [-b -√(b^2 -4ac)]/2a

d = 2√(b^2 -4ac)/2a

d = √(b^2 -4ac)/a

And d = 6

Substituting the values of a,b and c. We have;

6 = √[(-14^2) - (4×1×q)]

Square both sides

6^2 = 196 - 4q

4q = 196 - 36

q = 160/4

q = 40

The equation becomes

x^2 - 14x + 40 = 0

3 0
3 years ago
Hello!
Gnesinka [82]

Answer:

  • A. 2 < x < 10

Step-by-step explanation:

With two congruent sides the third side is greater against a greater angle.

<u>34 < 36, therefore:</u>

  • 3x - 6 < 24
  • 3x  < 30
  • x < 10

<u>And, the angle should have a positive value:</u>

  • 3x - 6 > 0
  • 3x > 6
  • x > 2

<u>Combined, we get:</u>

  • 2 < x < 10
8 0
3 years ago
How much money will you have if you started with $1250 and put it in an account that earned 6.7% every year for 14 years?
KatRina [158]

Answer:

$3098.93

Step-by-step explanation:

We can use the formula for compound growth to solve this. The formula is:

F=P(1+r)^t

Where

F is the future value (the value at end of 14 years, our answer)

P is the initial amount invested ($1250)

r is the interest rate, in decimal (6.7% is 0.067)

t is the time in years (14, in our case)

<em>Plugging in all the information</em> we have:

F=P(1+r)^t\\F=1250(1+0.067)^14\\F=1250(1.067)^14\\F=3098.93

The account will accrue $3098.93 after 14 years.

3 0
3 years ago
A right angle intersects a line at point M.Which statement is true about angles 1 and 2They are congruent.
SOVA2 [1]

Answer:

they are complementary

Step-by-step explanation:

4 0
3 years ago
Is F(x)= X^2(X^2+9)(X^3+2X) even or odd
dexar [7]

Answer:

The function is odd.

Step-by-step explanation:

A function is even if the graph of the function is symmetric with respect to the y-axis. A function is odd if the graph of the function is symmetric with respect to the origin. To find if the function is even or odd, we're going to graph the function using DESMOS.

As you can see in the attached picture, the function is symmetric with respect to the origin. Therefore, the function is odd.

4 0
3 years ago
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