we know that

a greater conveyor belt moves 100 pounds ------------> 5 minutes

so

Applying proportion

1-minute ---------> move 100/5=20 pounds

a smaller conveyor belt moves 100 pounds ------> 9 minutes

so

Applying proportion

1-minute --------> move 100/9 pounds

therefore

If both belts are used

then

1-minute --------> move 20+(100/9)=(180+100)/9=280/9 pounds

Applying proportion

Find out how long it takes to move 100 pounds

[tex]\begin{gathered} \frac{1}{\frac{280}{9}}=\frac{x}{100} \\ \\ solve\text{ for x} \\ x=\frac{100}{\frac{280}{9}}=\frac{900}{280} \end{gathered}[/tex]Simplify the fraction

45/14

Convert to a mixed number

45/14=42/14+3/14=3 3/14 minutes

The answer is 3 3/14 minutes

Melissa will only drink a cup of coffee if she has slept less than 8 hours or she had to wake up before 6

am.

In which of the following cases does Melissa not drink a cup of coffee?

Melissa sleeps for 8 hours and wakes up at 7 am

Melissa sleeps for 7 hours and wakes up at 8 am

Melissa sleeps for 9 hours and wakes up at 5:30 am

Melissa sleeps for 7 hours and wakes up at 6 am

Check

W

**Answer: Melissa sleeps for 8 hours and wakes up at 7 am.**

**Step-by-step explanation: For this i was able to do just eliminate some answer. "Melissa sleeps for 7 hours and wakes up at 8 am," in this case Melissa would drink coffee because she slept less than 8 hours. "Melissa sleeps for 9 hours and wakes up at 5:30 am," in this case Melissa would drink coffee since she had woke up at 5:30 am. "Melissa sleeps for 7 hours and wakes up at 6 am," in this case Melissa would drink coffee since she had less than 8 hours of sleep. In conclusion, The only time Melissa wouldn't had drank coffee is when she had slept for 8 hours and woke up at 7 am. That is because had slept more than 8 hours and had woke up after 7 am.**

Identify the transformation from ABC to A'B'C' .(x+4, y+8)(x-4, 4-8)(x+8, y+4)(x-8, y-4)

When you locate the coordinates of A it is (-4, 1)

Locate the coordinates of A', it is : (4, 5)

This implies, 8 was added to the x coordinate and 4 was added to the y-coordinate

Hence, the transformation is;

(x + 8, y+4)

In ∆XYZ, y =75cm, z=83 cm and

we have:

[tex]undefined[/tex]2+2+13-2/35? please help

**Answer: 16.94285714**

**Step-by-step explanation: 2/35 is 0.05714285714. 13+2+2 = 17.**

**17- 0.05714285714 is 16.94285714.**

2. A line goes through the points (4, 8) and (-4, 6). (a) What is the slope of the line? Show your work (b) Write the equation of the line in point-slope form. Show your work (c) Write the equation of the line in slope-intercept form. Show your work. Answer:

The awnser is 15 to the power of 2

What is the probability that a randomly selected Shopper is a man given that he shops at Home Depot? Round the answer to the nearest hundredth of a percent.

Out of all the 500 people, how many are Men, shopping at Home Depot?

See the cell crossing "Men" row and "Home Depot" column.

it is 37

Hence, probability of shopper being a men who shops at Home Depot is:

37/500

In decimal:

0.074

In percentage:

7.40%2y-4=3y-5 How Many solutions have?

There is one solution to the problem.

Solve the above equation by combining like terms and isolating the variable and it should give you y = 1

Solve the above equation by combining like terms and isolating the variable and it should give you y = 1

**Answer:**

one solution

**Step-by-step explanation:**

solve it.

2y-4=3y-5

-y=-1

y=1

On a unit circle, the terminal point of theta is (1/2,square root 3/2). what is theta

Given the terminal point of Θ:

[tex](\frac{1}{2},\frac{\sqrt[]{3}}{2})[/tex]Let's find the value of Θ.

In polar coordinates, we have the points as

[tex]P=(R,\theta)[/tex]Where:

R is the radius and Θ is the angle.

We know in rectangular coordinates, we have:

x = R * cosΘ

Y = R * sinΘ

Thus, to find the value of Θ, we have:

[tex]\sin \theta=\frac{\sqrt[]{3}}{2}[/tex]Solve for Θ.

[tex]\begin{gathered} \\ \text{sin}\theta=\frac{\sqrt[]{3}}{2} \\ \end{gathered}[/tex]Take the inverse cosine of both sides:

[tex]\begin{gathered} \theta=\sin ^{-1}(\frac{\sqrt[]{3}}{2}) \\ \\ \theta=\frac{\pi}{3} \end{gathered}[/tex]**ANSWER:**

Jessica made 619 cups of punch. Herpunch had two different types of juice init. If the punch had 4 cups of one type ofjuice, how many cups of the other type ofjuice did it have?

Given:

Total cups of punch made = 619

The punch contains tw different types of juice

(1 2/7-3/14)/8/15trying to remember how to do this

We will write it as a fraction in ordet to solve, that is:

[tex]\frac{(1\frac{2}{7}-\frac{3}{14})}{(\frac{8}{15})}[/tex]We then operate as follows:

[tex]\frac{((\frac{7}{7}+\frac{2}{7})-\frac{3}{14})}{(\frac{8}{15})}\Rightarrow\frac{(\frac{9}{7}-\frac{3}{14})}{(\frac{8}{15})}\Rightarrow\frac{(\frac{15}{14})}{(\frac{8}{15})}\Rightarrow\frac{15\cdot15}{14\cdot8}\Rightarrow\frac{225}{112}[/tex]We have this, since 1 integer will be equal as a numerator divided by a denominator with equal values. Examples 1 = 2/2, 1 = 45/45, ...

The nature of a graph which has an odd degree and a negative leading coefficient would be _________.up left; up rightdown left; up rightdown left; down rightup left; down right

**Given:**

A graph which has an odd degree and a negative leading coefficient.

**To find:**

The nature of the graph.

**Explanation:**

Since the has an odd degree and a negative leading coefficient.

So, the end behaviours are,

[tex]\begin{gathered} As\text{ }x\rightarrow-\infty,f(x)\rightarrow\infty \\ As\text{ }x\rightarrow\infty,f(x)\rightarrow-\infty \end{gathered}[/tex]So, the nature of the graph would be, **up left and down right**

**Final answer:**

**up left; down right.**

Been struggling on this for days, some help would be appreciated.

**Answer:**

-b plus or minus square root of b square - 4ac

divided by 2a

where by a is the first term

b is the second term

c is the third term

**Step-by-step explanation:**

a = 1

b = -5

c = 4

x = 4 & 1

answer: x= 4&1

explanation

explanation

Find x and the measure of angle 1

The measure of **angle **1 is 42° . **Angles Central angles** can be expressed as Central angle = (Arc length 360o)/(2r) degrees or **Central angle** = Arc length/r radians, where r is the radius of the circle.

∴ The measure of **angle **1 is 42°

180 - 48 - 90 = 42

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1) The table represents the relationship between a length measured in meters and th same length measured in kilometers. a. Complete the table. meters kilometers 1,000 1 3,500 500 b. Write an equation for converting the number of meters to kilometers. 75 1 X

**Explanation:**

1)

1 kilometer is equal to 1000 meters:

1 km = 1000 m

So,

1m = 1/1,000 km

To complete the table, we can use the rule of three:

a) 1,000 m?

1m - 1/1,000 km

1,000m - x

x = 1/1000 * 1,000 =** 1 km**

As we can see, we only have to divide the measure in meters by 1000.

b) 3,500 m = 3,500/1,000 = **3.5 km**

c) 500 m = 500/1,000 = **0.5 km**

d) 75 m = 75/1,000 **= 3/40 km = 0.075 km**

e) 1 m = 1/1000 =** 0.001 km**

f) x = x/1,000 = **0.001x km**

**2)**

**The relation is: **

**Y = 0.001x**

**Where x is the measure in km and x in meter.**

A woman borrows #20 000 for 4 weeks. She agrees to pay #25 000 back at the end of the 4 weeks. How much interest does she pay over the a 4 weeks? b How much interest does she pay per week?how to solve

The **interest** she pays over 4 weeks is #5000 and the interest she pays per week is #1250.

According to the question,

We have the following information:

A woman **borrows** #20 000 for 4 weeks.

She agrees to pay #25 000 back at the end of the 4 weeks.

Now, we will subtract the borrowed amount from the** amount** paid after 4 weeks to find the interest paid after 4 weeks.

(a) Interest paid over 4 weeks = #(25000-20000)

Interest paid over 4 weeks = #5000

(b) Now, we can easily find the interest paid per** week** by the interest paid over 4 weeks by the total number of weeks.

Interest paid per week = Interest paid in 4 weeks/4

Interest paid per week = 5000/4

Interest paid per week = #1250

Hence, the answers to part a is #5000 and the answer to part b is #1250.

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Write this absolute value function as a piecewise function. y= 2|x|-3

A function can be written as piecewise function if it changes its behaviour ( increasing or decreasing ) about a point.

[tex]\begin{gathered} Thefunctionf\mleft(x\mright)=y=|x|changesitsbehaviourat|x|=0ie,x=0. \\ y=|x|=x,ifx<0=-x,ifx>0 \\ |x|=a\Rightarrow x=\pm a \end{gathered}[/tex]Here Here,

The given function is : y = 2|x| - 3

Here,

The function will change its behaviour when

| x | = 0

=> x = 0

Now,

If x < 0 , then ;

=> y = 2[–(x)] – 3

=> y = –2x – 3

=> **y = – 2x – 3**

If x ≥ 0 , then ;

=> y = 2(x) – 3

=> y = 2x – 3

=> **y = 2x -3**

**Hence ,**

**y = – 2x – 3 , if x < 0**

**y = 2x - 3 , if x ≥ 0**

Graph 1(90°,0)(FGHJ).Which graph below shows the preimage FGHJ and the image F'G'H''?

Given the figure FGHJ with coordinates

F(0, 5), G(-5, 1), H(5, -7) and J(6, 4)

When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.

Therefore, for clockwise rotation, the coordinates of the image of FGHJ becomes

[tex]\begin{gathered} \text{ F(0, 5)}\to\text{ F'(5, 0)} \\ \text{ G(-5,}1)\to\text{ G'(1, 5)} \\ \text{ H(5, -7)}\to\text{ H'(-7, -5)} \\ \text{ J(6, 4)}\to\text{ J'(4, -6)} \end{gathered}[/tex]Note that, the blue graph represents the pre-image FGHJ and the green graph represents the image F'G'H'J'

When we rotate a figure of 90 degrees anti-clockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.

Therefore, the anti-clockwise rotation the coordinates of the image of FGHJ becomes

[tex]\begin{gathered} \text{ F(0, 5)}\to\text{ F'(-5, 0)} \\ \text{ G(-5,}1)\to\text{ G'(-1, -5)} \\ \text{ H(5, -7)}\to\text{ H'(7, 5)} \\ \text{ J(6, 4)}\to\text{ J'(-4, 6)} \end{gathered}[/tex]Note that, the blue graph represents the pre-image FGHJ and the green graph represents the image F'G'H'J'

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Find the difference. Write your answer in simplest form.

The expression of the fraction 10¹/₅ - 2¹/₆ as a **mixed fraction** is; 8¹/₃₀

We want to subtract two fractions.

Now, **fractions** could be either proper fraction, improper fraction or mixed fraction.

Now, a **proper fraction** simply means the numerator is smaller than the denominator, a **mixed fraction** simply means a whole number and a proper fraction while an **improper fraction** simply means the numerator is bigger than the denominator

We are given the operation;

10¹/₅ - 2¹/₆

Converting to** improper fraction** gives;

51/5 - 13/6

**Factorizing** gives us;

1/30((51 * 6) - (13 * 5))

= 241/30

Converting to **mixed fraction** gives 8¹/₃₀

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Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in USA Today. According to the survey, 43% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability of the following.

The probability of matching x successes on n further trials in an experiment with two possible outcomes. There is a 4.88% chance that no one is worried that their **employers **are listening to their phone **calls**.

Given that,

The probability of matching x successes on n further trials in an experiment with two possible outcomes is known as the binomial probability (commonly called a binomial experiment).

The following formula gives it:

[tex]P=C_{n,x}p^{n}.(1-p)^{n-x}[/tex]

Where is the number of distinct combinations of x items drawn from a set of n elements, as determined by the formula below.

[tex]C_{n,x}=\frac{n!}{x!(n-x)!}[/tex]

And p is the probability that anything will happen.

Being aware that **employers **are monitoring phone **calls **is a victory in this issue.

43% of adults fear that their **employers **are listening to their phone **calls**,

p=43%=0.43

We must locate Four persons were questioned, and none expressed concern about phone **call **monitoring by companies.

We count four adults, n=4.

Is there a **probability **of success of 0? If so, then x = 0.

[tex]P=C_{n,x}p^{n}.(1-p)^{n-x}[/tex]

[tex]P=C_{4,0}(0.43)^{0}.(0.57)^{4}[/tex]

P=0.0488

Therefore, There is a 4.88% chance that no one is worried that their **employers **are listening to their phone **calls**.

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.......................

we have that

Part c)

the probability is equal to

P=0.14+0.27+0.58

P=0.99because is the sum of

x=1, x=2 and x=3

Part D

the probability is

P=0.01+0.14+0.27

P=0.42because is less than or equal 2

Rodney opens a savings account with $75 and also deposits $40 each month. Morgan opens an account with $50 and also deposits $40 each month. Will they have the same amount in their account at any point? If so, after how many months? Explain.

FAST RESPONSE ALSO EQUATION AND STEPS

**Answer:**

Yes, after 3 and a half months, they will both have 215$ in their account.

**Step-by-step explanation:**

if x is the number of months

Rodney's equation: y=40x+75

Morgan: y = 50x + 40

Equate them together:

50x+40 = 40x+75

10x=35

x=3.5

:]

Yes, after 3 and a half months, they will both have 215$ in their account.

Solve using proportions.

Andrew is on a low-carbohydrate diet. If his diet book tells him that an 8-oz serving of pineapple contains 19.2 g of carbohydrate,

how many grams of carbohydrate does a 5-oz serving contain?

Using **proportions **we know that a 5-oz serving contains 12g of carbohydrates.

So, the carbohydrates in a 5-oz serving:

Now, calculate as follows:

8:19.2g = 5:xg8/19.2 = 5/xg8xg = 19.2(5)8xg = 96xg = 96/8x = 12gTherefore, using **proportions **we know that a 5-oz serving contains 12g of carbohydrates.

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Shay's net pay is $575.50 biweekly. If her gross annual income is$17,500, how much is deducted from each paycheck?a. $153.67b. $2,537c. $97.58d. $3,688

a. $157.67

Explanation:

>> net income (total amount without the taxes etc...)

. biweekly = $575.50

. per month = $575.50 * 2 = $1,151 (~since it happens 2 times per month)

. per year = $1,151 * 12 = $13,812

>> gross income (total amount with the taxes etc...)

. per year = $17,500

>> amount deducted (~going to taxes etc...)

. per year = $17,500 - $13,812 = $3,688

. per month = $3,688 / 12 =~ $307.33

. **per paycheck = $307.33 / 2 =~ $153.67**

Answer the questions below.

**Answer:21 **

**Step-by-step explanation:**

One half of a number increased by a second number equals 5. One half of the first number decreased by the second number equals 1. Find the two numbers.

let the first no. is 'a'

second no. is 'b'

so from the statement, One half of a number increased by a second number equals 5.

[tex]\frac{a}{2}+b=5[/tex]and One half of the first number decreased by the second number equals 1.

[tex]\frac{a}{2}-b=1[/tex]add both the equations,

[tex]\begin{gathered} \frac{a}{2}+\frac{a}{2}+b-b=5+1 \\ a=6 \end{gathered}[/tex]put a= 6 in first equation

[tex]\begin{gathered} \frac{6}{2}+b=5 \\ 3+b=5 \\ b=5-3 \\ b=2 \end{gathered}[/tex]so the answer is,

**a = 6 & b = 2**

qwdqdqwdwqdqdwqdqwwqdd

**Answer:**

qwdqdqwdwqdqdwqdqwwqdd

haha lol

**Step-by-step explanation:**

Qqqjwjejdjdjdjdjdudududucucuxuwkekekjesjsjsjej

Simplify the expression.[tex] - 5 {w}^{4} {y}^{ - 2} \div - 15 {w}^{ - 6} {y}^{2} [/tex]w≠0, y≠0

Question:

Simplify the expression

[tex]\frac{-5w^4y^{-2}}{-15w^{-6}y^2},w\ne0,y\ne0[/tex]**Step 1**:Apply the fraction rule

**Step 2**:Apply the law of indices

**Step 3**: Apply the fractional exponent of indices

**Hence,**

**The final answer = w¹⁰/3y⁴**

If f(x) = -4x-5, what is f(1)?

Given that f(x) is defined as the function below:'

[tex]f(x)=-4x-5[/tex]To determine the value of f(1), we **substitute the x with 1**. Therefore:

**The value of f(1) is -9.**

The president of the student council wants to survey the student population about parking. She decides to take a random sample of 100 of the 1,020 students at the school. She gets an alphabetical list of the students, and numbers them from 0001 to 1020. Then, using a random number table, and starting at a random line, she selects 100 unique numbers between 0001 and 1020. Is this a simple random sample?

No, because the sample could contain repeating numbers.

No, because the sample could contain numbers other than numbers between 0001 and 1020.

Yes, because each student and sample of 100 has the same chance of being selected.

Yes, because each student is represented by a 4-digit number from 0001 to 1020.

Is this a** simple random sample**: Yes, because each student and **sample** of 100 has the same chance of being **selected**.

A **simple random sample** can be defined as a subset of items that are **selected** from a larger data set or statistical population, with each member of the subset having an equal or the same probability (chance) of being **selected**.

This ultimately implies that, each member of the subset are **selected** by chance and **randomly**, and as such a **simple random sample** is an unbiased representation of a larger data set or a statistical population.

In this context, we can reasonably infer and logically deduce that the data set or statistical population described in this scenario is a **simple random sample**.

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31. Find the circumference.

a. 18.84 in

b. 36 in

c. 9 in

18.84 because 3.14 (pi) times the radius (6) is 18.84 in

compare 7.3 and 12 use , or =.
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