1. The graph below shows the number of children's and adult tickets sold each day of a performance.

(a) What is the slope of the line? Show your work.

(b) What is the equation of the line in point-slope form?

(c) What is the equation of the line in slope-intercept form?

(d) What is the equation of the line in standard form? Show your steps in converting to standard form.

Answer: 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink.

Step-by-step explanation:

We can use the principle of linear equations. Let's say that the first type of drink is represented by x, and the second type is represented by y. We can then set up the following system of equations:

x + y = 170 (1)

0.4x + 0.9y = 0.45 * 170 (2)

We can solve for x and y using the methods of linear algebra. To do this, we can multiply equation (1) by 0.9, and equation (2) by 0.4, and then subtract the two equations to get the following equation:

0.9x - 0.4y = 0.45 * 170 - 0.4x - 0.9y

0.5x = 0.45 * 170 - 0.9y

x = (0.45 * 170 - 0.9y) / 0.5

We can substitute this expression for x into equation (1) and solve for y:

y = 170 - x

y = 170 - (0.45 * 170 - 0.9y) / 0.5

2.2y = 170 - 0.45 * 170

y = (170 - 0.45 * 170) / 2.2

y = 85 / 2.2

We can then substitute this value for y back into equation (1) to solve for x:

x = 170 - y

x = 170 - (85 / 2.2)

x = 170 - 38.63636

x = 131.36363

Therefore, the Royal Fruit Company needs to use 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink, in order to produce 170 pints of a mixture that is 45% pure fruit juice.

Answer:

Step-by-step explanation:

AV is an angle bisector. Lets name the intersection between AV and OU Y. Hence, OY=UY. We substitute and get :

7x+2=3x+10  |-3x

4x+2=10   |-2

4x=8  | /4

x=2

Answer:

Step-by-step explanation:

First of all, WHO IN THEIR RIGHT MIND NEEDS THAT MANY PEANUTS

Second:

1lb=16oz

5oz≈1/3lb

149×5=745 ((I have no idea where this is going))

745oz=46.5625 ((You can do the rounding my head hurts.))

Answer:

x = –3

Step-by-step explanation:

7 + 2x/3 = 5

2x/3 = 5 – 7

2x/3 = –2

multiply both sides by 3

2x = –6

divide both sides by 2

x = –6/2

x = –3

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Answer:

1

Step-by-step explanation:

The angles of a triangle must add up to 180 degrees, which gives the expression

180 = 111 + 34 = 35t

simplifying this expression gives

35 = 35t

Then solve for t to get

t = 1

The required number of people who voted for yes is 3665.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,

As mentioned in the question,
The people residing in the city voted on whether to raise property taxes. The ratio of yes to no is 5 to 4.

The multiplication of the proportion of yes to the total proportion of total votes gives the number of people who voted for yes.

The ratio of people yes to no = 5:4
Proportion of yes voted people = 5 / 9
The number of people who voted for yes = 5 / 9 × 6597 = 3665.

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The probability statements after continuity correction are given as follows:

Continuity correction is used as a "correction" when a continuous distribution is used to approximate a discrete distribution. One example of this is the approximation of the binomial distribution to the normal distribution.

Hence, using continuity correction, the range of values that corresponds to a number of exactly x is given as follows:

x - 0.5 < x < x + 0.5.

Thus the range of values of 118 is given as follows:

117.5 < x < 118.5.

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The number of b the machine can make each minute are 40.

What is machine?

A physical system known as a machine uses power to apply forces, regulate movement, and carry out an action. In addition to naturally occurring biological macromolecules like molecular machines, the term is frequently used to describe artificial devices that use engines or motors.

Given:

The graph shows the relationship between time and the number of soda bottles a machine can make.

We have to find the number of soda bottles the machine can make each minute by using the points (3, 120) and (7, 280).

Let x is the time in minutes and y is the number of soda bottles.

From the given points in 3 minutes machine can make 120 soda bottles.

So, in each minute machine can make 120/3 = 40 soda bottles.

Hence, the number of b the machine can make each minute are 40.

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Complete question:

Complete question is attached below.

Answer:

M/s^2

Step-by-step explanation:

Clare's answer and reasoning are incorrect because she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation and the correct quotient is 8/15, not 10/3.

To perform the division operation (4/3) ÷ (5/2), we need to first divide the numerator by the denominator.

This gives us (4/3) ÷ (5/2) = 8/15.

Thus, Clare's reasoning is incorrect because she did not apply the order of operations when simplifying the expression.

Instead, she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation (20/3) ÷ 2 = 10/3.

Therefore, the correct quotient is 8/15, not 10/3.

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Answer

1

Step-by-step explanation:

1

(y2-y1) / (x2-x1)

(rise over run)

(8-6) / (3-1)

2/2

1

The ranking of the data-sets according to their respective means is given as follows:

[tex]\mu_C < \mu_D < \mu_B < \mu_A[/tex]

The mean of a data-set is calculated as the sum of the values of all the observations divided by the number of observations.

In this problem, all the distributions have the same number of observations, hence the means are ranked from the highest sum.

The squares give the number of times that each observation appears in the data-sets.

The smallest mean is the mean of data-set C, as it is the only one with three measures of eight, while the other data-sets have four measures of eight.

Then the greatest mean is of data-set A, as it is the only with an observation of 6, and then data-set B has a greater mean than data-set D, as it has an observation of five while data-set D has an observation of three.

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The leading team scored 27.43 points  per game in basket ball game.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The points scored by current leader in 77 basket ball game = 2112,

And the points scored by second place player in 74 game = 2020.

The point scored by players in one match, use ratio property,

By current leader,

Points scored in 77 games = 2112

points scored in 1 game = 2112/77 = 27.43

By second place leader,

Points scored in 74 games = 2020,

Points scored in 1 game = 27.3

The leading team scored 27.43 points per game.

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The solution of the given system of equation is x = -3 and y = 4 respectively.      

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

The given system of equations is as,

y = 4x + 16                   (1)

y = −2x − 2                  (2)

In order to solve them, substitute equation (2) into (1) as follows,

4x + 16 = −2x − 2

=> 4x + 2x = -2 - 16

=> 6x = -18

=> x  = -3

Then, y = -2 × -3 - 2 = 4

Hence, the solution of the given system of equation is x = -3 and y = 4.  

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Answer:

No

Step-by-step explanation:

Because a vertical line can intersect the curve more than once, the graph does not represent a function.

Answer: it costs $4.15 for a pizza with 1 topping. Is that what you meant?

Step-by-step explanation:

ok you need formula for surface area.

SA = πrh+2πr^2

Plug in 25 and 5

SA = 2π(5)(25)+2π(5)^2

SA = 10pi*25 + 2pi(25)

SA = 250pi + 50pi

SA = 300pi

Hope this helps :)

Jeron

The p-value of the test hypothesis is given as follows:

0.2420.

At the null hypothesis, it is tested if the proportion is not greater than 40%, that is:

[tex]H_0: p \leq 0.4[/tex]

At the alternative hypothesis, it is tested if the proportion is greater than 40%, that is:

[tex]H_1: p > 0.4[/tex]

The test statistic is given by the equation presented as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which the parameters are defined as follows:

The values of these parameters for this problem are given as follows:

[tex]p = 0.4, n = 215, \overline{p} = \frac{91}{215} = 0.4233[/tex]

Hence the test statistic is given as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4233 - 0.4}{\sqrt{\frac{0.4(0.6)}{215}}}[/tex]

z = 0.7.

Using a z-distribution calculator, with a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of:

0.2420.

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Answer:

Step-by-step explanation:

126

Answer:

-5/3

Step-by-step explanation:

trust me bro

Answer:

Use desmos

Step-by-step explanation:

Basically it is a graphing calculator put your points

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

Answer:

Step-by-step explanation:

9 ≤ b

( I think unless it faces the other side...if wrong then I'm sorry)

Answer:

12

Step-by-step explanation:

24 = 2³ × 3

60 = 2² × 3 × 5

72 = 2³ × 3²

84 = 2² × 3 × 7

cel mai mare divizor comun = 2² × 3 = 12

Answer:

[tex]\frac{\sqrt{6}-\sqrt{2} }{4}[/tex]

Step-by-step explanation:

You have to use your calculator if you have one.

It will them 15 minutes to change the tire of one car which is option d.

Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity". In other words, if the product of both the quantities, irrespective of a change in their values, is equal to a constant value, then they are said to be in inverse proportion.

It takes 30 minutes either Paul or Chris to change the tire if both of them should work at the same rate, then the time of changing a tire would reduce.

so the time taken one tire by the two men 30/2 = 15 minutes.

In conclusion it took the 2 men 15 minutes to change one tire

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Answer:

4

Step-by-step explanation:

2x4=8   8-4=4

[tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

The function is [tex]2x^{x}[/tex] is not a power function because a power function requires the exponent to be a constant value.

In the given function the variable x as power x which is variable.

The variable exponent should be constant.

When x is zero it is undefined. Another issue is the table indicates for negative values the output alternates between being positive and negative. So it is also not an exponential function either.

Hence,  [tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.

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Answer: 15 quarters, 10 dimes, and a penny

Step-by-step explanation: Hope it helps, please pick brainliest.

Answer:

15 quarters, 10 dimes, and a penny