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katen-ka-za [31]
3 years ago
7

A local movie theater charges $12 for an adult ticket and $10 for a child's ticket. a group of eight people spent a total of $86

on tickets to a movie. how many adults and how many children were in the group? write a system of linear equations based on the description. use x to represent the number of adults and y to represent the number of children.
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0
3 adults and 5 kids. 

You can get this by setting up the following system of equations.

x + y = 8 (number of people)
10x + 12y = 86 (cost)
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Water is being drained at a constant rate from a tank.
saw5 [17]

Answer:

Step-by-step explanation:

1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6

Now we can use this answer to help find out the amount remaining in the tank.

5 minutes = 5x6=30; 1000-30= 970 gallons

20 minutes= 20x6=120; 1000-120= 880 gallons

30 minutes=30x6=180; 1000-180= 820 gallons

27 minutes=27x6=162; 1000-162= 838 gallons

X minutes = 1000-6x

Rate of flow is 6 gallons per minute.

Hope this helps!

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Each tape diagram represents I whole.
Monica [59]

Hi! From what I know, your answer should be 5n = 1.75.

This is because all 5 of those n's ultimately equal the large box of 1.75 on the top. Think of it as fractions. if we replaced 1.75 with 1, those n's would each be 1/5.

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3 years ago
Write the number 393,234,000,034 in words.
GarryVolchara [31]

Answer:

three hundred and ninety three billion, two hundred and thirty four million, and thirty four.

Step-by-step explanation:

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3 years ago
Read 2 more answers
The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
kari74 [83]

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

5 0
3 years ago
The number of rookie cards in a variety pack of baseball cards is normally distributed with a mean of 3 cards and the standard d
Sergio039 [100]

Answer:

z = \frac{2-3}{\frac{1}{\sqrt{10}}}=-3.163

z = \frac{4-3}{\frac{1}{\sqrt{10}}}=3.163

P(-3.163

P(-3.163

So then we will expect 9.98 packages between 2-4 rookie cards in the sample of 10

Step-by-step explanation:

Let X the random variable that represent the number of rookie cards of a population, and for this case we know the distribution for X is given by:

X \sim N(3,1)  

Where \mu=3 and \sigma=1

We select a sample size of n = 10 variety packs and we want to find this probability:

P(2

We can use the z score formula given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

We can find the z score for 2 and 4 and we got:

z = \frac{2-3}{\frac{1}{\sqrt{10}}}=-3.163

z = \frac{4-3}{\frac{1}{\sqrt{10}}}=3.163

So we can find the probability with this difference

P(-3.163

And using the normal standard distirbution or excel we got:

P(-3.163

So then we will expect 9.98 packages between 2-4 rookie cards in the sample of 10

4 0
3 years ago
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