Mathematics High School

## Answers

**Answer 1**

the ratio of white to pink would be 80%

## Related Questions

Compare negative two and three tenths repeating and negative eight thirds using symbols <, >, or =Compare negative two and three tenths repeating and negative eight thirds using symbols <, >, or =.

### Answers

**Symbol** used to **compare** the negative two and three tenths repeating and negative eight thirds is :

negative two and three tenths **>** negative eight thirds.

As given in the question,

Given numbers :

Negative two and three tenths = [tex]-2\frac{3}{10}[/tex]

= -23 /10

Negative eight thirds = -8/3

To **compare** two numbers using **symbols** <, >, or = denominator should be equal

Least common multiple of 10 and 3 is 30.

(-23/10) ×(3/3) = -69/30

(-8/3)×(10/10) =-80/30

-69/30 > -80/30

⇒[tex]-2\frac{3}{10}[/tex] > -8/3

Therefore, symbol used to **compare **the negative two and three tenths repeating and negative eight thirds is :

negative two and three tenths **>** negative eight thirds.

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Hefty bird grocery store sells a case pf 15 cans of chili for $75.00. bulky grocery sells 8 cans of the same brand of chili for $32. give the unit rate for a can of chili from each store

### Answers

The** unit rate **of the can in Hefty bird grocery store is 3

The **unit rate** of the can in bulky grocery is 4

How to calculate the unit rate of the can in each stores ?

The** unit rate** at Hefty bird grocery store can be calculated as follows

15= 75

1= x

cross multiply both sides

15x= 75

x= 75/15

x= 3

The** unit rate a**t bulky grocery can be calculated as follows

8= 32

1= y

cross multiply both sides

8y= 32

y= 32/8

y= 4

Hence the **unit rates** are 3 and 4 respectively.

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Esimate the value of 13 squared, between which two whole numbers

### Answers

The value of value of 13 **squared** is 169 and this is between 168 and 170.

How to illustrate the information?

It should be noted that a **square **of a particular number simply means the **multiplication** of the number by itself.

Based on the information, the value of 13 **squared** will be:

= 13 × 13

= 169

It should be noted 169 will be between 168 and 170.

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the coefficient correlation for rent and square footage is computed to be 0.84, this means the relationship between the two variables are blank

### Answers

Based on the** correlation coefficient **between **rent **and **square footage **of 0.84, the relationship between the two variables is **Strong **and **Positive**.

How to describe the correlation coefficient?

The** Correlation Coefficient **can be negative, positive, or 0. When it is 0, then no relationship exists between the variables. A negative coefficient means that the **relationship **is negative.

A positive correlation means that the relationship is positive which means the variables increase (decrease) together. A correlation coefficient above 0.8 indicates that the correlation is strong.

In this case, it means that the correlation of 0.84 between **rent **and **square footage** is **strong **and **positive**.

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Graph each equation after plotting at least three points for each one

1) y=-x+10

2) y=-1/2x+4

### Answers

**Answer:**

[(2, 8),(3, 7),(4, 6)]

Graph the equation like normal.

Use the procedures explained below to answer the next question.

**Step-by-step explanation:**

To obtain 3 points, choose any values for x and substitute into the equation for corresponding values of y. To make this easier, I'm going to use function notation instead. But, this works the same using slope-intercept form.

[tex]f(x)=-x+10\\f(2)=-2+10=8 \rightarrow (2,8)\\f(3)=-3+10=7 \rightarrow (3,7)\\f(4)=-4+10=6\rightarrow(4,6)[/tex]

All I did was substitute three different values of x, to get the corresponding values for y.

So, the three points that are on the line are (2, 8), (3, 7), and (4, 6). Now, you can graph the equation as you normally would.

As shown in the attached screenshot, the three points that we found are correctly on the graphed line.

Use the same procedures to answer the next question.

PRETTY PLEASE HELP Me! ;)

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

Write your answer using integers, proper fractions, and improper fractions in simplest form.

### Answers

**Answer:**

**y = -1x**

gradient = -1

rise/run= +10-20/-10+20

= -10/10

= -1

y intercept is 0 as line is passing through 0 on y axis

For verification:

input any pair of x and y values in y = mx + b

10=-1(-10)+b

10=10+b

b= 10-10

b=0

Equation:

y = -1x

hi!

Answer:

y = -x

Explanation:

For every time y increases by 1, x decreases (goes down) by 1. You can see that the slope is negative as it seems to go ‘down’ rather than go ‘up’.

You could say the equation is y= -1x, but because there is only one ‘x’ we can just leave it as -x.

Hope this helps :)

Natasha and Richard are marking exam papers. Each set takes Natasha 45 minutes and Richard 1 hour. Express the times Natasha and Richard take as a ratio.

Give your answer in its simplest form.

### Answers

**Answer:**

**3:4**

**Step-by-step explanation:**

for every set that Natasha and Richard do and since 1 hour is 60 minutes the ratio is 45:60 and then you divide both sides by 15 to get 3:4

A bird flies from the bottom of a canyon that is 59 1/5 feet below sea level to a nest that is 620 3/5 feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?

The difference between the elevation of the canyon and the bird's nest is ___ feet. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

### Answers

The difference in **elevation** between the bottom of the canyon and the birds nest is 679.8 feet.

What is a numerical expression ?

A **numerical** expression is an statement written in form of numbers with mathematical operations.

According to the given question

A bird flies from the bottom of a canyon that is59 1/5 feet below sea level to a nest that is 620 3/5 feet above sea level.

59 1/5 feet

(59×5 + 1)/5

59.2 feet

Let assume that the sea level is at 0 feet.

= (620×5 + 3)/5

= 620.6 feet.

From the given data we write an **expression** which is the difference in elevation between the bottom of the canyon and the bird nest is

( 620.6 ) - ( -59.2 ) feet

= 620.6 + 59.2 feet

= 679.8 feet.

Hence, The elevation **difference** between the birds' nest and the canyon's base is 679.8 feet.

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11

Mr Sykes wants to buy a calculator for every student in year 11.

There are 104) students in year(11.)

Each calculator costs £6.05

(a) Work out an estimate for the amount of money Mr Sykes will spend on calculators.

1= £6.05

### Answers

The **amount **of money Mr.Sykes will spend on calculators is £629.2.

Given:

Total Number of students in year 11 = 104

Cost of each calculator = £6.05

Now to calculate the total** cost** of all the calculators we have to multiply the number of students by the cost of one calculator.

Amount of money Mr.Sykes will spend on calculators = Total Number of students × Cost of each calculator

= 104 × 6.05

= £629.2

Hence, the total **amount **of money Mr.Sykes will spend on calculators is £629.2.

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Circuitville has been selling an average of 22 Intelliphones per day. On August 31 they have an inventory of 110 Intelliphones. Write a linear function modeling the daily inventory. Then use the model to predict the date the store will have to restock if they want to have at least 25 phones in stock at all times.

### Answers

The** linear function** modelling the daily inventory in t days after August 31 is given by:

I(t) = 110 - 22t.

Using the given function, they must **restock **the store on September 3.

What is a linear function in slope-intercept format?

A linear function, in **slope-intercept** format, is modeled according to the following rule:

y = mx + b

In which:

The coefficient **m **is the **slope **of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient **b **is the **y-intercept** of the function, which is the the value of y when the function crosses the x-axis(x = 0).

In the context of this problem, we have that:

The **intercept **is of **b = 110,** as on the reference day, which is of August 31, they have 110 Intelliphones.The **slope **is of **m = -22,** as on each day they sell 22 phones, meaning that the amount decays by 22.

Thus the **model **is given as follows:

I(t) = 110 - 22t.

They must have **at least 25 phones** in stock at all times, hence:

I(t) >= 25

110 - 22t >= 25

22t <= 85

t <= 85/22

t <= 3.86.

Rounding down, as after 4 days they would have less than 25 phones, they must **restock **the store on September 3, which is 3 days after August 31.

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Situation #4

Flywithus Airlines is updating its security system at a major airport. The budget for new metal detectors is

$75,000. The airline has a maximum of 18 security guards available for each shift. There are two types of

metal detectors available. Unit A costs $5000, requires 1 security guard and can process 300 people per hour.

Unit B costs $7500, requires 2 security guards and can process 500 people per hour. Since Unit B has a better

reliability record, the purchasing agent has mandated that at least 4 units must be type B. Determine the

number of units of each type that should be purchased to maximize the number of people processed.

p. Define the variables

q. Write the constraints.

### Answers

The **number **of **units **of each type that should be purchased to maximize the number of people processed is 6 unit A and 6 unit B.

What is a linear equation?

A **linear equation **is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a **constant **and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two **variables**," with y and x serving as the variables.

What are variables?

Any mathematical object has a symbol, and that symbol is called a variable. A **variable** can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its **elements**.

Given that,

The budget for new metal detectors is $75,000.

Maximum of 18 security guards available for each shift.

Unit A **costs **$5000, requires 1 security guard and can process 300 people per **hour**.

Unit B **costs **$7500, requires 2 security guards and can process 500 people per hour.

Let x = unit A

Let y = unit B

N = 300x + 500y

Here, 5000x + 7500y ≤ 75000

X+2y≤ 18

y≥4

x≥0

Hence,

(0, 9) = 300(0) + 500(9)

(0, 9) = 4500

(0, 4) = 300(0) + 500(4)

(0, 4) = 2000

(9, 4) = 300(9) + 500(4)

(9, 4) = 4700

since,

(6, 6) = 300(6) + 500(6)

(6, 6) = 4800

Therefore, flywithus should buy 6 unit A and 6 unit B to maximize the **number **of people processed.

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a phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost C can be represented by this equation:C=12+am, where A is the additional charge per minute and M is the number of minutes used what does M equal in an equation.

### Answers

m in the **linear equation** that represents the scenario is expressed as: m = (C - 12)/a.

How to Interpret a Linear Equation?

A **linear equation, in slope-intercept form **y = mx + b or y = b + mx, can be used to model a scenario where:

m = **slope** or **unit rate** or **average rate** b = the **starting value** or **initial value** or **y-intercept**.

In the scenario described above, given that C = 12 + am represents the **equation** of the monthly pone cost, we have the following:

Monthly phone cost (y) = C

Additional charge per minute (m) = a

Number of minutes (x) = m

Base fee (b) = 12

Thus, to find what m equal in the **equation**, make m the subject fo the formula:

C = 12 + am

C - 12 = 12 + am - 12

C - 12 = am

(C - 12)/a = m

m = (C - 12)/a

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an exam consists of 50 multiple choice questions. based on how much you studied, for any given question, you think you have a probability of 0.65 of getting the correct answer. consider the sampling distribution of the sample proportion of correct questions out of 50 questions.

### Answers

The answer to all the subparts are:

(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The **probability **of receiving a score below 60% is 0.278.

**What do we mean by probability?****Probability **is a branch of mathematics that deals with numerical representations of the probability that an event will happen or that a statement is true.The probability of an event is a number between 0 and 1, with 0 roughly denoting impossibility and 1 denoting **certainty**.The four most common approaches to probability are axiomatic, **classical**, empirical, and **subjective**.

So, the formula for **mean **calculation:

E(x) = np

So, we obtain:

E(x) = 50 × 0.64E(x) = 32

The formula for** standard error:**

[tex]S E=\sqrt{\frac{p+(1-p)}{n}}[/tex]

So, we get:

[tex]\begin{aligned}&S E=\sqrt{\frac{0.64+(1-0.64)}{50}} \\&S E=\sqrt{0.004608} \\&S E=0.068\end{aligned}[/tex]

So, the standard error is 0.068, and the mean is 32.

Given the size of the sample, a roughly normal shape can be anticipated.

In order to determine the likelihood of scoring less than 60%, we must first determine the z-score using:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

So, we obtain:

[tex]\begin{aligned}&z=\frac{0.60-0.64}{0.068} \\&z=-0.588\end{aligned}[/tex]

Then,

P (x < 60%) = P (z < -0.588)P (x < 60%) = 0.278

Consequently, the **probability **of receiving a score below 60% is 0.278.

Therefore, the answer to all the subparts are:

(A) The standard error is 0.068 and the mean is 32.(B) The anticipated shape will be roughly normal.(C) The **probability **of receiving a score below 60% is 0.278.

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**The complete question is given below:**An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.64 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50. (a) Find the mean and standard error of the sampling distribution of this proportion. Mean = (2 decimal places) Standard error = (3 decimal places) (b) What do you expect for the shape of this sampling distribution? approximately normal because n is large cannot be determined because p is greater than 0.5 cannot be determined because n is large approximately normal because the population is normal (c) If truly p = 0.64, calculate the probability of getting a sample proportion less than 0.60? (correct answers on less than 60% of the questions) Probability = (3 decimal places)

The graph shows how many cups of water are needed for each cup of flour in a pizza dough recipe. In this activity, you will find the slope of the line shown in the graph.

To calculate slope, you need two points. Choose two points on the line.

### Answers

The** slope** of the **line** shown in this graph is equal to 3/5 or 0.6

What is a pitch?

A **pitch** is also referred to as **slope** and it can be defined as the ratio of the vertical distance (**rise**) measured to the horizontal distance (**run**) measured.

How to determine the pitch (slope) of a roof?

Mathematically, the **pitch** (**slope**) of a geometric figure or **line** can be calculated by using this formula:

Pitch (slope) = V/H

Where:

V represents the **rising** vertical distance of an object.H represents the horizontal distance an object **runs** through.

Based on the given graph, we would select the following **points**:

Rise = 6, 0

Run = 10, 0

Substituting the selected **points** into the formula, we have;

Pitch (slope) = (6 - 0)/(10 - 0)

Pitch (slope) = 6/10

**Pitch** (**slope**) = 3/5 or 0.6

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Complete Question:

The graph shows how many cups of water are needed for each cup of flour in a pizza dough recipe. In this activity, you will find the slope of the line shown in the graph.

To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.

**Answer: **Part A

Answers will vary. The sample answers throughout this Lesson Activity assume the points chosen are (0, 0) and (5, 3).

Part B (Answer)

Between the points (0, 0) and (5, 3), there is a rise of 3 units and a run of 5 units.

Part C ( Answer)

Between the points (0, 0) and (5, 3), the rise is 3 and the run is 5. The slope is the ratio of rise to run. Therefore, the slope of the line is 3/5.

**Step-by-step explanation:**

**Questions Part A - To calculate slope, you need two points. Choose two points on the line.**

**Part B - To calculate slope, you need to know the rise and the run of the graph. Use the graph to find the rise and the run from one point you selected to the other.**

**Part C**

**Using the rise and run from part B, what is the slope of the line?**

Calculate the slope of:

(8,7) (2,7)?

### Answers

The formula that will be used will be m=y2-y1/x2-x1

If you plug in the values then it would be

m=7-7/2-8

Which would equal to

m=-0/6 = 0

So the answer will be 0

Please help me answer

### Answers

Using **transformations**, it is found that:

**25.** The function underwent a **reflection **over the **y-axis.**

**26. **The function undergoes a **vertical compression** by a factor of 1/2.

**27. **the changes from f(x) = |x| to g(x) = -2|x - 1| + 2 are given as follows:

Shift one unit right.Shift two units up.Vertical stretch by a factor of 2.Reflection over the x-axis.

The **graph **of g(x) is given at the end of the answer.

What are transformations on the graph of a function?

The **transformations used** are given as follows:

**Translation**: Translation left/right or down/up, with rules such as x -> x + a or y -> y + a, with the signal of a determining it is left or right, or up/down.**Stretching/compression:** Function is multiplied by a value.**Reflections**: Over the x-axis or over the x-axis.

Item 25

The **function **for g(x) is given by:

g(x) = f(-x).

This rule is for a **reflection **over the y-axis.

Item 26

The **function **for g(x) is given by:

g(x) = 0.5f(x).

The multiplication by a number less than 1 means that it underwent a **vertical compression**, with the coefficient representing the **scale factor.**

Item 27

For this problem, the **parent **function is:

f(x) = |x|.

The **transformed **function is:

g(x) = -2|x - 1| + 2.

The **changes** are given as follows:

x -> x - 1, meaning that the function was shifted **one unit right.**y -> y + 2, hence the function was shifted **two units up**.Multiplication by 2, hence the function was **vertically stretched **by a factor of 2.Multiplication by -1, hence the function was reflected over the x-axis.

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what does 10.1 times 0.31 equal

### Answers

10.1 times 0.31 equals 3.131

the answer to that is 3.131

25. Buses from New York City to Albany leave New

York City every hour on the hour and buses from

Albany to New York City leave Albany every

hour on the half hour. All the buses in both

directions travel on the same highway and take

exactly 3 hours to reach their destination. Buses

in both directions run 24 hours a day and every

day of the year. A bus leaving New York City

and going to Albany will pass how many buses

leaving Albany and going to New York City

along the way?

### Answers

**Answer:**

**12.**

**Step-by-step explanation:**

During the previous 3 hours before the New York bus leaves, 6 buses would have left Albany so the New York bus will pass them on the way.

Also 6 buses will leave Albany during the three hours of travel,

Tha answer is 6 + 6 = 12.

Someone please help!

### Answers

Based on the calculations, the value of x in this **geometric sequence **is equal to √2

How to calculate the nth term of a geometric sequence?

Mathematically, the nth term of a **geometric sequence** is given by this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

aₙ represents the nth term of a **geometric sequence**.r represents the **common ratio**.a₁ represents the first term of a geometric sequence.

Next, we would determine the **common ratio** of this **geometric sequence **as follows:

r = a₂/a₁ = a₃/a₁

Substituting the given parameters into the **common ratio** formula, we have;

1/√X + 1 = √x - 1/1

Taking the square of both sides, we have:

1/x + 1 = x - 1/1

Cross-multiplying, we have:

(x + 1)(x - 1) = 1

x² - x + x - 1 = 1

x² - 1 = 1

x² = 1 + 1

x² = 2

x = √2

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A park's square garden area is 225 square yards. What is

the length of ONE SIDE of the garden?

### Answers

Let first remember that all the sides of a square has the same length. Therefore if 255 is squared (255^2) just find the square root of the 255 which is 15 and that is the length of one side of the square

PLEASE SOMEONE NEED TO ANSWER. IM GONNA FAILED MY CLASS IN GEOMETRY

In Exercises 3 and 4, plot the points in a coordinate plane. Then determine whether

AB and CD are congruent.

3. A(-7, 1), B(-4, 1), C(3, -5), D(3, -2)

4. A(1, -1), B(1, 1), C(3, -4), D(5,-4)

### Answers

Yes the word was good as Ellen w but

If two charged objects have a 125 N force between them when they are 3.00 m apart, what force exists between them when they are 15.0 m apart? help

### Answers

**Answer:**

I think its 5.00 N

**Step-by-step explanation:**

The sum of an integer and 4 times the next consecutive integer is -46. Find the value of the greater integer.

### Answers

The **value** of the **greatest integer** is **-9.**

What is Equation Modelling?

Equation modelling is the process of writing a **mathematical verbal **expression in the form of a** mathematical expression** for **correct analysis**, **observations** and **results** of the given problem.

Given is the **sum** of an **integer** and **4 times** the next **consecutive integer** is **-46.**

Assume that the **integer** is** x.** Then, its **consecutive integer** will be** (x + 1)**.

Then we can write -

**x + 4(x + 1) = - 46**

x + 4x + 4 = - 46

5x + 4 = - 46

5x = - 50

**x = - 10**

Then -

**x + 1 = - 9**, which is also **greater** than -10

Therefore, the **value** of the **greatest integer** is **-9.**

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What does N equal? 2N-7N + 4N x 9N - 14N = 250

### Answers

**Answer:**

50

**Step-by-step explanation:**

in this equation you will have to add and multiply the Ns together then you will divide whatever value you get by 250

(2N-7N+4N) x (9N-14N)=250

(-1N) x (-5N)=250

5N=250

N=50

Did I do this right?

### Answers

**Answer:**

yes you did

**Step-by-step explanation:**

I hate math and my math teacher

from least to greatest 0.5, 1/5, 0.35,12/25,4/5

### Answers

The numbers from least to greatest in **ascending **order is 1/5 , 0.35 , 12/25 , 0.5 , 4/5.

The organization of numbers known as **ascending **order places the **smallest **number before the **greatest**.

In this manner, the numbers are listed in ascending order. The first number should ideally be lower than the second. The integers are **arranged **in **descending **order, from largest to smallest value.Find a common denominator amongst the fractions so that the numerators and denominators can be multiplied by the same amount. The fraction that is **greater **can then be determined by simply glancing at the numerator. **Ascending **order is also known as **increasing **order. For instance, natural numbers are organized as follows: 1, 2, 3, 4, 5, 6, 7, 8, and so on.

The numbers can be written in decimals as:

0.5 , 0.2 , 0.35 , 0.48 and 0.8.

The numbers written from least to greatest in **ascending **order is :

0.2 < 0.35 < 0.48 < 0.5 < 0.8

Hence the **numbers **will be:

1/5 , 0.35 , 12/25 , 0.5 , 4/5.

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Please help I really need it! It’s number 18!

### Answers

**Answer:**

a. 245 m

b. 40 m

c. The *g*-value of Mars is smaller than that of Earth.

**Step-by-step explanation:**

From the question, the **distance the object has fallen due to gravity** is given by

[tex]\boxed{d = gt^{2} }[/tex]

Earth

Given that g= 9.8 m/s²,

d= 9.8t²

(a) When t= 5,

d

= 9.8(5²)

= 9.8(25)

= **245 m**

Moon

Given that g= 1.6 m/s²,

d= 1.6t²

(b) When t= 5,

d

= 1.6(5²)

= **40 m**

Mars

(c) Relationship: smaller g, smaller d

Given the same value of t, which is 5 seconds, we are given that the distance (d) is 46.25 m.

This **distance is smaller that than when dropped near the surface of the earth**, but larger than that when dropped near the surface of the moon.

In summary,

d of Mars (45.25 m) <d of Earth (245 m)Thus g of Mars <g of Earth

Thus, we can conclude that the g-value on Mars is **smaller** than that of the Earth.

What type of number gets a mathematician in trouble the most when trying to use

a function to model' a real world situation? Why?

Your answer

### Answers

The type of **number** that gets a **mathematician** in trouble the most when trying to use a **function** to model a real-world situation are** irrational numbers** and **zero**.

What type of number gets a mathematician in trouble and why?Possibly a negative relationship. When x gets close to 0, which happens rather frequently, the problem starts to become a problem.

y = k/x, where k is a fixed number, say 10.

The most difficult number, in my opinion, is **zero**. The notion of 0 was formed roughly 1100 years after the death of **Christ**. The value "0" had no meaning to the **Romans**. For them, there was nothing resembling a zero in the year 2019. They would write it as (MMXIX). When giving parts of an **inch** in their **engineering** drawings, that must be very awkward.The** irrational **would be the second group that probably poses some difficulties. sqrt(3) for one, **pi **for another. That took time to come into being as well.

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Solve: 4n² – 30n = -36. Multiple answers, if any, should be simplified and separated by a comma.

### Answers

**Answer:**

n=3/2 and 6

**Step-by-step explanation:**

4n²-30n+36=0

2n²-15n+18=0

2n²-12n-3n+18=0

2n(n-6)-3(n-6)=0

(2n-3)(n-6)=0

2n-3=0 or n-6=0

n=3/2 or n= 6

factorization approach ✨

Determine the value of k that would complete the equation.

x y

2 -12

3 -8

6 -4

### Answers

The value of "k" in the following equation 72 + k = 54 for which the given **linear equation **is true is k = -18

As per the question statement, we are supposed to find the value of "k" in the following equation 72 + k = 54 for which the given **linear equation **is true.

The solution is given below:

72 + k = 54, subtracting 72 from both sides

k = 54 - 72

k = -18

Therefore the value of "k" in the following equation 72 + k = 54 for which the given **linear equation **is true is k = -18

**Linear Equation: **Equation that is used to find the values of the variables using various mathematical operations.

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