Mathematics College

## Answers

**Answer 1**

**The graph of the line** y = (-2/3)x + 8 with appropriate labels and scale has been plotted

**The equation of the line** is given that

y = (-2/3)x + 8

The given equation is in** slope intercept form **of the line

y = mx + b

Where m is the slope of the line

b is the **y intercept **

y is the y coordinate value

x is the x coordinate value

The slope of the line = -2/3

**The slope of the line** is the change in y coordinates with respect to the change is x coordinates of the line

y intercept is 8

Substitute the value of x in the equation and find the value of y

**Plot the graph **using the equation

Therefore the graph of the line has been plotted

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## Related Questions

1.

Which inequality represents the expression 9 is less than or equal

to b?

### Answers

**Answer:**

**Step-by-step explanation:**

9 ≤ b

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

Please help me and with explanation too(English only)

### Answers

**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

Claire said 4/3 /5/2 is 10/3. She reasoned 4/3 *5 = 20/3 and 20/3 / 2= 10/3

### Answers

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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The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90%

pure fruit juice. The company is attempting to produce a fruit drink that contains 45% pure fruit juice. How many pints of each

of the two existing types of drink must be used to make 170 pints of a mixture that is 45% pure fruit juice?

### Answers

**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.

Graph the function. Identify whether or not the graph is a function

### Answers

**Answer:**

No

**Step-by-step explanation:**

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

what the dog doing ?

### Answers

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).

Is 2x^x a power function? Explain why or why not.

### Answers

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

What is Power function?

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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What are all of the real solutions of f(x)=0

### Answers

The real solutions when f(x)=0 are the y-intercepts, so they’re 5 and 7

select all the expressions that are equal to the product of 14 and 9

### Answers

**Answer:**

**Step-by-step explanation:**

126

A pizza with 3 toppings costs $12.45. A pizza with 7

toppings costs $17.05. What is the equation that

determines the cost of a pizza (c) based on the number

of toppings (t)?

### Answers

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

**Step-by-step explanation:**

Two basketball players are trying to have the most

points per game for the season. The current leader has

2112 points in 77 games and the second place player

has 2020 in 74 games. How many points per game did

the leading team score?

Round to the nearest tenth

### Answers

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

What is ratio?

**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 graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (,) and (,) to find the number of soda bottles the machine can make each minute.

### Answers

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.

Paul and Chris work at a car shop. It takes Paul 30 minutes to change the tire, and

it takes Chris 30 minutes to change the tires. If they work at their own rates,

approximately how long would it take them to change the tires of one car.

a. 35 min

b. 10 min

c. 20 min

d. 15 min.

### Answers

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

What is inverse proportion?

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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Find the value of x in the equation

### Answers

**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

which expression is equivalent to (3/2)^-4

### Answers

**Answer:18/61 0r decimal form 0.20**

**Step-by-step explanation:**

Four distributions, labeled (a), (b), (c), and (d) are represented below by their histograms. Each distribution is made of measurements. Without performing any calculations, order their respective means , , , and .

### Answers

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]

How to calculate the mean of a data-set?

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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For each binomial probability statement below determine the corresponding normal distribution probability statement after a continuity correction. P(x> 118); P(x<118); P(x > 118)?

### Answers

The probability statements after **continuity correction** are given as follows:

P(x > 118) = P(x > 117.5).P(X < 118) = P(X < 118.5).P(X = 118) = P(117.5 < x < 118.5).

What is continuity correction?

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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Triangle A and Triangle B are right triangles.

Triangle A has a height of 8 meters and a base of 6 meters.

Triangle B has a height that is one unit greater than triangle A and a base that is one unit less.

Part A

What is the measure of the hypotenuse of triangle A? Show your work.

Part B

Determine if the hypotenuse of triangle B has the same hypotenuse as triangle A. Justify your solution.

### Answers

Answer: Triangle A- 24 8x6=48/2=24

Triangle B- 9x5=45/2=22.5

What is the solution to the system of two equations shown?

{y=4x+16y=−2x−2

y=4x+16 y=-2x-2

### Answers

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

What is a system of linear equations?

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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Mary has 26 coins. It equals $4.85 in dimes and quarters. How much of each kind of coin

does she have

### Answers

**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

Annie bought 149 5-oz bags of peanuts.

What's the total weight of the peanuts in pounds? Round answer to the hundredths place.

PLEASE HELP!

### Answers

**Answer:**

**46.5625 lbs**

**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.))

The height of the cylinder is 25 inches and the radius of its base is 5 inches. What is the surface area of this cylinder, in terms of n (pie) PLS LOOK AT THE PHOTO AND HELP ME OUR, I’M GETTING TIMED

### Answers

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

7+2x/3=5 need help aspa

### Answers

**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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What is the slope of the line that passes through the points (8, -6) and (5, -1)

### Answers

**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

Many members of a certain workforce died from cancer supposedly resulting from exposure to radioactive

fallout Suppose that among the 215 members of the workforce, 91 developed cancer. For that time period

and for the age of the cohort, the incidence of cancer was about 40%. Use the randomization procedure

and a 0.05 significance level to test the claim that the sample of this workforce is from a population in which

the rate of cancer is greater than 40%. The accompanying set of 500 sample proportions (rounded to four

decimal places) was obtained by resampling using technology as part of the randomization procedure; use

P-value=

(Round to three decimal places as needed.)

ample Get more help -

Clear all

Check answer

### Answers

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

0.2420.

What are the hypothesis tested?

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]

What are the test statistic and the p-value?

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:

[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.

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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Determinați cel mai mare divizor comun al următoarele numere : 24,60,72,84￼

### Answers

**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

(1,6) and (3,8) find the slope

### Answers

**Answer **

1

**Step-by-step explanation:**

1

(y2-y1) / (x2-x1)

(rise over run)

(8-6) / (3-1)

2/2

1

Find the exact value of cos ( 285 ∘ ) .

### Answers

**Answer:**

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

**Step-by-step explanation:**

You have to use your calculator if you have one.

Which formula describes acceleration?

m²

m/s²

m/s

s/m

### Answers

**Answer:**

M/s^2

**Step-by-step explanation:**

Solve for x

4 - (2x + 4) =

Please explain step by step on how I could get this answer!

### Answers

**Answer:**

4

**Step-by-step explanation:**

2x4=8 8-4=4