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).
Answer:
9/35
Step-by-step explanation:
There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.
Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.
Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.
<u>Answer:</u>
- The length of BC is 25 units.
<u>Step-by-step explanation:</u>
<u>We know that the triangle is an isosceles triangle. Hence, we know that AB = AC. Let's first solve for x.</u>
- => 4x + 1 = 2x + 23
- => 4x - 2x = -1 + 23
- => 2x = 22
- => <u>x = 11</u>
<u>Now, let's substitute the value into the expression.</u>
- => 3x - 8
- => 3(11) - 8
- => 33 - 8
- => <u>25</u>
<u>Hence,</u><u> the length of BC is 25 units.</u>
Hoped this helped.
The x-intercept is 3 and the y-intercept is -2
Answer:
£10.71
Step-by-step explanation:
Given the original price including discount od shorts = £15
Percent discount = 40%
Original price = x
Using the expression to calculate x
x + (40%of x) = 15
x +0.4x = 15
1.4x = 15
x = 15/1.4
x = £10.71
Hence the non sale price is £10.71
