MATHEMATICS COLLEGE

This is the two that go together, but are separate questions

Answers

Answer 1

Answer:

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

each adult ticket costs 9 dollars

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Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

$\begin{cases}6a+8s = 102\n14a+4s = 150\end{cases}$

If we multiply both sides of the second equation by -2, we get this updated system

$\begin{cases}6a+8s = 102\n-28a-8s = -300\end{cases}$

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

Each adult ticket costs $9

If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

Meaning each student ticket costs $6

Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

Related Questions

From the ground, a hot-air balloon went up at a speed of 375 feet per minute for 5 minutes. It then went down at a speed of 225 feet per minute for 6 minutes. How far is the hot-air balloon above the ground?150 feet525 feet1,125 feet1,875 feet
Which values are equivalent to the fraction below? Check all that apply
Body temperature (in degrees Fahrenheit) of randomly selected normal and healthy adults are shown below. Compute the mean, median, and mode of the data set.98.198.698.798.598.098.298.099.098.098.8The mean is °F.(Round to the nearest hundredth as needed.)
The number line below represents which combined inequality?number line with a closed circle on negative 4 and 3 with shading in betweenx greater than or equal to −4 and x less than or equal to 3x greater than or equal to −4 or x less than or equal to 3x less than or equal to −4 and x greater than or equal to 3x less than or equal to −4 or x greater than or equal to 3
Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of μ = 8.9 new words (words not used in the poet’s other works). The standard deviation of the number of new words is σ = 2.5. Now a manuscript with six new sonnets has come to light, and scholars are debating whether it is the poet’s work. The new sonnets contain an average of x~ = 10.2 words not used in the poet’s known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.H0 : µ = 8.88 vs Ha : µ > 8.88Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)Use 2 decimal places for the z-score and 4 for the p-value.a. What is z?b.The p-value is greater than?c.What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Holly works at a garage.Mr Bakir brings his car in for a service.
He also buys 2 tyres and a battery.
Holly has this list of costs
• service £110
• tyres £49.99 each
• battery £89
She uses this list to start to work out the bill for Mr Bakir.
Holly also has to charge 20% VAT on the costs to work out the total bill.
Work out the total bill. (You MUST show your working in the box below)
(4 Points)

Answers

The total bill that Mr Bakir paid was £358.78, using mathematical operations.

How the total bill is determined:

The total bill can be determined using mathematical operations, including multiplication and addition as follows:

The cost of car service = £110

The cost of 2 tyres bought = £99.98 (£49.99 x 2)

The cost of a battery = £89

Sub- total = £298.98

VAT (20%) = £59.80

Total = £358.78

Thus, including 20% VAT, the total bill for Mr. Bakir was £358.78.

Learn more about mathematical operations at brainly.com/question/30553381.

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AJ, Blaze, Laurence, and Jack pick oranges. Blaze picks three times as many as Laurence. Jack picks twice as many as Blaze. Aj picks three times as many as Laurence. The total weight of the oranges is 1092 pounds. How many pounds does AJ pick?

Answers

Answer: 252 pounds.

Step-by-step explanation:

Let be "b" the amount of pounds Blaze picks, "j" the amount of pounds Jack picks, "l" the amount of pounds Laurence picks and "a" the amount of pounds AJ picks.

Based on the information provided, we know that:

$b=3l\n\n j=2b\n\n a=3l$

Substitute the first equation into the second one:

$j=2(3l)\n\nj=6l$

Since the total weight of the oranges is 1092 pounds, we can write the following expression and solve for "l". Then:

$b+j+a+l= 1092\n\n3l+6l+3l+l=1092\n\n13l=1092\n\nl=84$

Finally, substituting this value into the equation $a=3l$ , we get :

$a=3(84)\n\na=252$

There are 13 apples in a basket. 4 of these apples are green. The rest are red. what is the ratio?

Answers

Answer:

9:4 4:13

Step-by-step explanation:

Answer:

a) 9:4 b) 13 : 9

Step-by-step explanation:

13 = total

4 = green

13-4 ( which Is 9) = red

Ratio of red apples to green apples?

9:4

RATIO of all apples to red

13: 9

Find the value of x that would prove this is an isosceles trapezoid. Then find each segment length.

Answers

Answer:

Check pdf

Step-by-step explanation:

Jack can long-jump 195% of his height with a running start. If Jack can long jump 97.5 inches, how tall is he? *

Answers

The Jacks height from the given situation is 49.08 inches.

Given that, Jack can long-jump 195% of his height with a running start.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the height of jack be x.

So, 195% of x = 95.7

⇒ 195/100 × x=95.7

⇒ 1.95x=95.7

⇒ x=95.7/1.95

⇒ x=49.08 inches

Hence, the Jacks height from the given situation is 49.08 inches.

To learn more about the percentage visit:

brainly.com/question/24159063.

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Answer: 190

Explanation: Divide 97.5 from 195% and then round.