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jek_recluse [69]
2 years ago
11

You are going to an amusement park over Spring Break. The cost of admission to enter the park is $30 and the rides are an additi

onal $6 each. If your parents give you $100 to spend at the amusement park, what is the maximum number of rides you can go on? Write an inequality to show the maximum number of rides you can go on.​
Mathematics
2 answers:
vlabodo [156]2 years ago
6 0

Answer:

30+6x ≤ 100 (inequality)

The maximum amount of rides is 11 rides

Step-by-step explanation:

So first the admission fee is 30

Each ride is 6

So since you can go on any amount of rides, its unknown so (x)

You only have a 100 dollars and you can’t go over but you can go lower

so 30+6x≤100

If you solve it

x≤11

So 11 rides

dem82 [27]2 years ago
6 0

Answer:

30+6x=100

Step-by-step explanation:

100-30=70

6*11= 66

The total number of rides he can go on is 11. He will have a remaining balance of $4.00 which is not enough to pay for another ride.

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I need this fast!........................
Schach [20]

Answer:  (2,2)

Step-by-step explanation:

1. Substitute y=0 into first equation and solve for "x" in order to find the x-intercept of the first line:

0=-\frac{1}{2}x+3\\\\-3=-\frac{1}{2}x\\\\(-3)(-2)=x\\\\x=6

2. Substitute x=0 into the first equation and solve for "y" in order to find the y-intercept of the first line:

y=-\frac{1}{2}(0)+3\\\\y=3

Knowing that first line passes through the points (6,0) and (0,3), you can graph it.

3. Substitute y=0 into second equation and solve for "x" in order to find the x-intercept:

0=2x-2\\\\2=2x\\\\x=1

4. Substitute x=0 into the second equation and solve for "y" in order to find the y-intercept of the second line:

y=2(0)-2\\\\y=-2

Knowing that second line passes through the points (1,0) and (0,-2), you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

(2,2)

7 0
3 years ago
The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0
3 years ago
What do u have 2 do to solve
Nastasia [14]
5x^2 + 6x +13.88 is what is is simplified hope it helped a bit 
8 0
3 years ago
Read 2 more answers
1. Anne wants to join five pieces of paper together. She plans to use 3 rectangular pieces of the same size and 2 square pieces
Artyom0805 [142]

Answer and explanation:

Surface area of a rectangle = length * width

Surface area of a square = a² where a is length of a side

To find total surface area of the the five pieces of paper, we add up all the areas of all the shapes

Given that length of rectangle =3.5

And width = 2

Area of rectangle =3.5*2=7

Area of 3 rectangles given they are all equal = 7*3=21

Since width of rectangle equal to width of square and all sides of square are equal

Area of square = 2 *2 =4

Area of the two squares =4*2=8

Total surface area of the five plane shapes = 21+8= 29

8 0
2 years ago
PLEASE HELP ME AND SHOW YOUR WORK
Stels [109]
A because I searched it up lol
3 0
2 years ago
Read 2 more answers
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