Mathematics High School

## Answers

**Answer 1**

Although it is impossible to send mail to 1.2 homes in a minute,** Mark's solution** is valid since 1.2 corresponds to the unit rate of homes per minute.

What is the mark's method?

When reset() is performed, the stream is marked as the checkpoint from which the stream read will begin in Java by using the mark() function of the Reader class.

Option 1: Mark's approach is incorrect since there is no way to distribute mail to 1.2 homes in a minute. Only a certain amount of homes can get deliveries from the carrier.

This is **untrue** because the rate of 1.2 just indicates that the carrier may complete one house in a minute while still having time to begin delivering to the second residence. While the rate is not required, the total number of houses must be a whole number.

Option 2: Mark's approach is incorrect since mail cannot be delivered for 7.5 minutes. Mail delivery by the carrier is limited to a set number of minutes.

Furthermore erroneous is this choice.

Option 3: **Mark's approach** is accurate because, not with standing the impossibility of delivering mail to 1.2 homes in a minute, 1.2 corresponds to the average number of homes every minute.

This choice is the best one. The mail is delivered by the carrier at a rate of 1.2.

Option 4: Mark's approach is accurate because he can deliver mail for 7.5 minutes, which corresponds to the unit rate of 7.5 minutes per dwelling.

Furthermore erroneous is this choice. Although it is feasible to transport mail for 7.5 minutes, this is the overall time required, not the unit rate.

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Complete question is" A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following. 1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute. 2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses. Which statement is correct? Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses. Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes. Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute. Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house."

## Related Questions

I need to help with the page I attached below!

### Answers

Nishnat **can trade box tops **only for printer.

Nishant keeps the box tops in 38 folders.

**Each folder contains** 80 box tops.

Number of box tops nishant has = number of folders x number of box tops in each folder

Number of box tops nishant has = 38 x 80

Number of box tops nishant has = 3040

For printer, he needs 1500 box tops

1500 < 3040

So, he can trade box tops for a printer.

For digital camera, he needs 3500 box tops

3500 > 3040

So, he can not trade box tops for a digital camera.

For tablet computer, he needs 5000 box tops

5000 > 3040

So, he cannot trade box tops for a tablet computer,

Therefore, Nishnat **can trade box tops **only for printer.

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Choose the line perpendicular to the following equation through the given point

### Answers

**Answer:**

y=-1/2x+1

**Step-by-step explanation:**

perpendicular is when the gradient of the existing equation is reciprocated (swapped sides and flipped)

new gradient- -1/2

so our new equation is y=-1/2x+c

we have the co-ordinates for x and y so substitute into new equation

1=(-1/2 x 0) + c

so c=1

Hence our equation is : y=-1/2x+1

In this coordinate plane, the slope of line a is equal to the opposite reciprocal of the slope of line b.

### Answers

Blank 1: [tex]\frac{k}{m}[/tex]

Blank 2: [tex]-\frac{k}{n}[/tex]

Blank 3: [tex]\frac{k}{m}=\frac{n}{k}[/tex]

Blank 4: [tex]\frac{KL}{KM}=\frac{KN}{KL}[/tex]

Blank 5: SAS similarity theorem

Blank 6-9: The options are needed

help meeeeeeeeeeeeeee pleaseeeeeee

### Answers

**Answer: 10.8 seconds**

**Step-by-step explanation:**

[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]

What is the Associative Property of Addition?The Associative Property of Addition states that when multiplying a number times the sum of two other numbers, that number can be multiplied by each of the numbers in the sum first and then added together.The Associative Property of Addition states that when adding three or more numbers, the order in which they are added is important.The Associative Property of Addition states that when adding numbers, the order can be reversed.The Associative Property of Addition states that when adding three or more numbers, they can be grouped in any way and the result will remain the same.

### Answers

The associative property of addition states that when adding numbers, the order can be reversed.

The associative property of addition says that changing the grouping of the addends does not change the sum.

For example -

[tex](3+5)+4=3+(5+4)[/tex]

Therefore, the given option (c) is correct.

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

### Answers

**Answer: 19.6 feet**

**Step-by-step explanation:**

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

دیا

A new restaurant just opened up in your

neighborhood. One soda costs $2.75, and five

sodas cost $13.75. Is the cost a proportional or

non-proportional relationship?

proportional

not enough information

non-proportional

### Answers

The cost for the **soda** is **proportional**.

How to calculate the value?

For there to be a **proportional relationship**, there must be a constant.

In this case, one soda costs $2.75.

Also, five sodas cost $13.75. The cost per **soda** will be:

= $13.75 / 5

= $2.75

Since the values of $2.75 are the same, it has a **proportional** relationship.

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UBTRACT THE INTEGERS AN PE YOUR ANSWER IN THE BC -34 - 55

### Answers

-34-55

Since both numbers are negative, we simply have to add the numbers and the result will be negative.

**-89**

PLEASE HELP ASAP PLEASE!!!!!!!!!

### Answers

**Answer:**

(4,-5)

**Step-by-step explanation:**

A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.

### Answers

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ c=\sqrt{9^2 + 11^2}\implies c=\sqrt{202}\implies {\Large \begin{array}{llll} c\approx 14.2 \end{array}}[/tex]

Find the number for n that makes this equation

true:

205

n(8-3)+7(9 + 1) = 7(9 + 1) + 2(1 + 4)

a) 5 b) 70

c) 2

d) 20

What number is in

### Answers

c) 2

Explanation:

Distribute

8n-3n+63+7=63+7+2+8

Simplify

8n-3n=2+8

5n=10

n=2

Can anyone tell me the answer to this problem in my picture if so ill give a high reward

### Answers

**Answer:**

10x1/2

**Step-by-step explanation:**

**Answer:**

**Step-by-step explanation:**[tex]10*4\7= \frac{40}{7} \\=5.714285714 \\\\ 10*\frac{10}{2}\\ \frac{10}{2}\\ =5 \\\\10*4\frac{2}{3} = 10*\frac{14}{3}\\\\ \frac{140}{3} = 46.66666667\\\\10*\frac{3}{4}=\\\\ \frac{30}{4} = 7.5\\\\10*\frac{9}{8}=\\\\\frac{90}{8} = 11.25\\ \\\\10X\frac{4}{7} , 10X\frac{3}{4} is the answer[/tex]

Mia has set up a lemonade stand outside her house and sells small cups and large

cups of lemonade. Each small cup holds 12 ounces of lemonade and each large cup

hold 22 ounces of lemonade. Mia sold 80 cups of lemonade totaling 1460 ounces.

Determine the number of small cups sold and the number of large cups sold.

### Answers

**Answer:**

**small cups: 30****large cups: 50**

**Step-by-step explanation:**

You want the **number** of **small (12 oz) cups** and **large (22 oz) cups** sold if **80 total cups** and **1460 ounces** were sold.

Setup

We can let x represent the number of large cups sold. Then 80-x is the number of small cups sold, and the total ounces of lemonade sold are ...

12(80 -x) +22x = 1460

Solution

Simplifying the equation gives ...

960 +10x = 1460

10x = 500

x = 50

Then the number of small cups sold is ...

80 -x = 80 -50 = 30

**30 small cups and 50 large cups were sold**.

<95141404393>

Help with problem and pick if it is odd or even

### Answers

Since

[tex]f(x)=-x^4+x^3+2x+x+1[/tex]

**even** degree function, it will have an **even** number of real zeros, and, since it has a degree of** 4**, there will be **4**, **2** or **0** real zeroes

there 3 cups of ketchup for every 1/2 cup of mustard what is the rate in cups of per ketchup per mustard

### Answers

There are 3 cups of ketchup for every 1/2 cup of mustard, then the rate in cups of ketchup per cup of mustard is:

3÷1/2 = 3*2 = **6 cups of ketchup per cup of mustard **

A rectangular prism has a volume of 384 cubic inches. Find the height of the prism.h= ____ in

### Answers

Rectangular prism volume: base length x base width x height

By looking at the image we can see that the height of the prism is 13cm.

To obtain the result in inches, divide by 2.54

13/2.54 = 5.12 inn inche

Week 10 Quiz Version A The Zero Product Property is used to find the zeros (or ti the graph will cross the O X-axis © y-axis O z-axis o origin

### Answers

The roots of a equation are the points where the graph intersects the x-axis. The answer is the first option.

pls solve dis quiz iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

### Answers

**Answer: the 3 equation I think**

**Step-by-step explanation: Find the value of X and y be sure to do on paper or message me for this one so I can give the answer to you without solving**

what is 2.405 and 1.537 as a fraction to the simplest form

### Answers

**Answer:**

2.405 = 481/200 or 2 81/200

1.537 = 1537/1000 or 1 537/1000

**Step-by-step explanation:**

Hope it helps:)

**Answer:**

2.405 = 481/200 or 2 81/200

1.537 = 1537/1000 or 1 537/1000

**Step-by-step explanation:**

Anna saved $40 each month from babbysitting for 1 and 1/4 years. She spends 70% of her savings on a computer

how much money does she have left

( write the answer as a decimal to 2 places.)

### Answers

The money left for Anna is $180 which was earned by **babysitting** for 15 months.

What is meant by the term percentage?To calculate a **percentage**, divide the value by the total value and multiply the result by 100.

For the given question;

Monthly saving of Anna is $40.

Total time of babysitting is 1 and 1/4 years.

Total time = 5/4 years = 15 months.

Total money saved = 15 × $40 = $600.

70% of the** money **is spent

Thus, 30 % money is left.

Find 30% of $600

= 30 × 600/ 100

= $180.

Thus, the money left for** Anna** is $180 which was earned by babysitting for 15 months.

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If you solve this fast I’ll name you brainliest So pls help me

### Answers

**Answer:**

x = 23

y = 119

**Step-by-step explanation:**

Line m is parallel to line n and the angle given as 61 and the angle that is represented with 4x - 31 are **alternate angles** and have equal measurement.

We can write the following **equation** based on this information:

4x - 31 = 61 add 31 to both sides

4x = 92 **divide** both sides by 4

x = 23

now onto y,

the angle represented with y and the angle that is represented with 4x - 31 are **supplementary** and their measures add up to 180:

4x - 31 + y = 180 replace x with 23

4*23 - 31 + y = 180

92 - 31 + y = 180 subtract **like terms**

61 + y = 180 subtract 61 from both sides

y = 119

in the figure below, $3$ of the $6$ disks are to be painted blue, $2$ are to be painted red, and $1$ is to be painted green. two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. how many different paintings are possible?'

### Answers

two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. then** 12 different paintings are possible**

First we figure out **the number of ways** to put the $3$ blue disks.

Denote the spots to put the disks as $1-6$ from left to right, top to bottom.

The cases to put the blue disks are $(1,2,3),(1,2,4),(1,2,5),(1,2,6),(2,3,5),(1,4,6)$.

For each of those cases we can easily figure out** the number of ways for each case**, so the total amount is $2+2+3+3+1+1 = (D) 12$

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5÷1/12 write your answer in the simplest form.

### Answers

**Answer:60**

**Step-by-step explanation:**

**Answer:**

60

**Step-by-step explanation:**

QUESTION 1Given a n x m matrix A and m X p matrix B, if AB = 0 then A = 0 or B = 0.TrueFalseQUESTION 2Given an xm matrix A,an n x n identity matrix I, exists such that I, A = Al, = A.TrueFalse

### Answers

Given:

[tex]A_{n\times m},B_{m\times p}[/tex]

If AB = 0,

Then it is not necessary that A=0 or B=0

To prove this, we consider an example:

Let n=m = p =2

Then AB is given as:

Clearly AB= 0 but A,B not equals to zero.

Hence, the given statement is not true.

**Hence, the answer is false.**

Using the remainder theorem, what is f (3)when f (x) = −2x^4 + 9x² + 2x + 10? O-92 O -65 O 43 O 73

### Answers

**Answer:**

Look at this attachment and it may help you

**Step-by-step explanation:**

**Answer:**

-64

**Step-by-step explanation:**

took the test

The price of Apple stock, A(X), over a 12 month period decreased and thenincreased according to the equation A(x) = x x 0, where x equals the number ofmonths. The 2 - 6 + 2 price of Baller stock B(x), increased according to theequation B(x) = 3x + 2 over the same 12-month period. When were both stockvalues the same?

### Answers

The question is: When we're both stock values the same? Then all you have to do is match both equations and solve for x, like this

[tex]\begin{gathered} A(x)=x^2-6x+20 \\ B(x)=3x+2 \\ \text{ Matching you have} \\ x^2-6x+20=3x+2 \\ \text{Subtract 3x from both sides of the equation} \\ x^2-6x+20-3x=3x+2-3x \\ x^2-9x+20=2 \end{gathered}[/tex][tex]\begin{gathered} \text{Now subtract 2 from both sides of the equation} \\ x^2-9x+20-2=2-2 \\ x^2-9x+18=0 \end{gathered}[/tex]

Factoring the trinomial you get

[tex]x^2-9x+18=(x-6)(x-3)=0[/tex]

Which implies that

[tex]\begin{gathered} x-6=0 \\ x=6 \\ \text{ or} \\ x-3=0 \\ x=3 \end{gathered}[/tex]

Therefore, since x corresponds to the number of months, then **the values of the two shares were equal at 3 and at 6 months.**

3x + ( 8 )=4x ( 4 )

X=

### Answers

**Answer: **

**X = 8/13**

**Step-by-step explanation:**

3x + 8 =4x 4

3x + 8 = 16x

3x + 8 - 8 = 16x - 8

3x - 16x - 8

X = 8/13

The sculptures at Mount Rushmore each measure about 60 feet from chin to forehead. For the average person, this distance is 9 inches. The average distance between a person’s ears is 6 inches. What is the ratio of a person’s chin to forehead distance compared to the distance between his ears?

### Answers

The **distance **from the chin to the forehead is **1.5 times** the distance between the ears.

The **average person**'s chin-to-forehead **distance **is 9 inches, and the distance between human ears is 6 inches. You are asked to compare the distance from a person's chin to their forehead to the distance between their ears.

Calculation:-

We can express the given **information **as:9/6

9/6 = **1.5**.

**Average speed** is calculated by dividing the** total distance** something has traveled by the total time it took to travel that distance. Velocity is how fast something is going at a given moment.

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A jar contains only pennies, nickels, dimes, and quarters. There are 28 pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels. There are 90 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?

### Answers

If n represents of **nickels **in the **jar**, then the **equation **that can be used to find n is; n + 77 = 90

What is an equation?

An **equation **is an expression that shows the relationship between two or more numbers and **variables**.

Assume that n **represent **the number of **nickels **in the jar.

Given that the **jar **contains only , pennies, nickels, dimes, and quarters. There are 28 **pennies**, 26 **dimes**, and 23 **quarters**. The rest of the coins are nickels.

This means that the total **number **if pennies, dimes and **quarters **would be;

23 + 28 + 26 = 77

This means that the number of **coins **that are **not nickel **= is 77

The **total **number of **coins **in the jar is 90. Therefore, the **equation **that can be **used **to find n is;

n + 77 = 90

n = 90- 77

n = 13 **nickels**

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Henry goes to the town fair.Use the prices on the photograph to complete the table.Enter the correct answer in the box.

### Answers

**ANSWER**

$28

**EXPLANATION**

We have that the entry fee is $10 and for each ride, $6 must be paid.

We want to complete the table by finding the cost of 3 rides.

First, let us **represent the cost of going to the fair and taking the ride.**

Let the number of rides a person takes by x.

We have that **the cost of taking x rides will be the entry fee plus the cost of each ride taken:**

Cost = 10 + 6x

So, for **taking 3 rides**, it will cost:

Cost = 10 + 6(3)

Cost = 10 + 18

**Cost = $28**

That is the cost of taking 3 rides.

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