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Alinara [238K]
2 years ago
9

1.

Mathematics
2 answers:
solong [7]2 years ago
8 0
1. The answer is 76.

If the group all together is only being charged once per ride, and the whole group is going twice, then you will double the cost of each ride:

4.50 x 2 = 9
4 x 2 = 8
3.50 x 2 = 7

In total, the rides will cost $24. So, if you're paying with a $100 bill, you will receive $76 in change.

2.2 The answer is 58.

You will do the same procedure as the first question, but this time multiply the costs by 3. 

5.50 x 3 = 16.5
2 x 3 = 6
6.50 x 3 = 19.5 

The total will be 42. Subtracted from 100, you will get 58.

3.3 The answer is 2. 

If you have 15 dollars and the coaster costs 5.50, the first time you ride it you will have 9.50 left. The second time, you will have 4 dollars left, and then you will not be able to pay for a third time.

4.4 The answer is 23.25

If you add up all the correlating costs of the tickets (6.75 + 4.50 + 4.50 + 10.50 + 10.50), you will get 36.75. Then you must subtract that from 60, which will give you 23.25 dollars in change.

5.5 The answer is 54.75

You will do the same procedure here as you did above. Add the corresponding costs together (you're done after this part, because the question isn't asking for how much change you'll receive). 

6.6 The answer is 7.

If the tickets cost $10.50 and you have $80, then you want to divide 80 by 10.50. You will get 7.6. Since you can't buy a sixth of a ticket, your answer will be 7.

7.7 The answer is to pay separately.

In this question, you will add all the costs together (except the day pass) and compare it to the cost of the day pass. Once you add all the costs together, you will get 17.50. This is cheaper than the day pass, which is 19.95.



zheka24 [161]2 years ago
3 0

I took the test

1. 4

2. 168

3. 2

4. 23.25

5. 54.75

6. 7

7. Pay separately

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Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a
Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

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2 years ago
A recipe for guacamole uses 12% lime juice, if a batch contains 0.75 cup of lime juice, how large is the batch of guacamole?
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8 0
2 years ago
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Heidi is saving for a new bike. She has already saved $57. If Heidi earns
PtichkaEL [24]

Answer:

8 hours

Step-by-step explanation:

57 + 9h = 129

9h = 72

h = 8

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2 years ago
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In △ABC,c=71, m∠B=123°, and a=65. Find b.<br><br> A. 101.5<br> B. 117.8<br> C. 123.0<br> D. 119.6
tia_tia [17]

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that c=71, B=123°, and a=65. Plugging in the values:

b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).

Simplifying gives:

b^2 = 14293.0182932.

Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).

This means that the Option D is the correct choice!!!

8 0
2 years ago
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