Mathematics Middle School


Select the measures that are equal
6 feet 15 yards 45 feet 600 inches 12 feet 640 inches

Answers

Answer 1

To solve such problems, we need to know about Units conversion.

Units conversion

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

though the real measurement is still the same the units and numerical values have been changed.

Common Unit Conversion

1 yard = 36 inches,

1 foot = 12 inches,

Given to us,

6 feet, 15 yards, 45 feet, 600 inches, 12 feet, 640 inches

Converting the units to inches,

1 foot = 12 inches,

6 feet = 6 x 12 = 72 inches,

45 feet = 45 x 12 = 540 inches,

12 feet = 12 x 12 = 144 inches,

1 yard = 36 inches,

15 yards = 15 x 36 = 540 inches,

As we can see above the value of 15 yards and 45 feet are equal to 540 inches, therefore, equal to each other.

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Related Questions

What is the sum of 74.835 and 2.67

Answers

Hello! Your answer would be 77.505.

I provided you a picture to help you out a little. ^.^ 
The answer would be 77.505.

74.835 + 2.67 = 77.505.

Hope this helps!! :)

Sarah wants to hang a mirror in her room. The mirror and frame must have an area of 15 square feet. The mirror is 3 feet wide and 4 feet long. Which quadratic equation can be used to determine the thickness of the frame, x? Square with an inner frame with height of 3ft on the left frame and width of 4ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. 3x2 + 14x − 2 = 0 4x2 + 14x − 3 = 0 x2 + 12x − 14 = 0 2x2 + 7x − 14 = 0

Answers

Length of the outer frame:4+2x
Width of the outer frame:3+2x
Area of the outer out frame"(4+2x)(3+2x)=15
Expand the equation:12+8x+6x+12x^2=15
Combine like terms :4x^2+14x-3=0

Angle P measures 112 degrees, what are the measures of angle N and O?

Answers

the inside angles of a triangle need to equal 180 degrees
 in this triangle the lines NP and OP are identical so the 2 unknown angles would be equal
 so the 2 unknown angles would be 180 - 112 = 68 / 2 = 34 each
 angle N & O are 34 degrees


The measures of angle N and O are: 34°

How to find the angle of the Isosceles triangle?

We know that Isosceles triangle has two equal sides and we also know that the sum of angles in a triangle is equal to 180 degrees.

Since an Isosceles triangle has two equal sides, we know that the base angles are equal.

We are given the apex angle as 112 degrees. Thus:

2x + 112 = 180

2x = 180 - 112

2x = 68

x = 34

Thus:

The measures of angle N and O are 34°

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i need alot of help in math

Answers

Plug in the dimensions to the formula given using a handy dandy calculator for both problems. 

1. The diameter of the bottom of the cone is 4 so the radius (half that) is 2. Volume = 1/3 * pi * (2)² * 6
= 1/3 * pi * 4 * 6
= 1/3 * pi * 24
= 8 * pi
≈ 25.1327 cm³

2. They give you all you need, the radius.
Volume = 4/3 * pi * (6)³
= 4/3 * pi * 216
= 288 * pi
≈ 904.7787 in³

Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 3 ft, 6 ft, 9 ft B. 3 ft, 5 ft, 7 ft C. 3 ft, 6 ft, 12 ft D. 3 ft, 9 ft, 27 ft

Answers

Answer:
B. 3 ft, 5 ft and 7 ft

Explanation:
In any triangle, the sum of any two sides must be greater that the third one.

Therefore, to know if the given sides represent a triangle or not, all what we will do is add the two short sides and compare the result to the largest one.
We would have 3 options:
sum of short sides > longest side ......> It is a triangle
sum of short sides < longest side ......> It is not a triangle
sum of short sides = longest sides ....> It is not a triangle

Now, for the given:
1- Option A:
sum of short sides = 3 + 6 = 9 ft which is equal to the longest side
This option is incorrect

2- Option B:
sum of short sides = 3 + 5 = 8 ft which is greater than the longest side
This option is correct

3- Option C:
sum of short sides = 3 + 6 = 9 ft which is less than the longest side
This option is incorrect

4- Option D:
sum of short sides = 3 + 9 = 12 ft which is less than the longest side
This option is incorrect

Based on the above, the only correct option is B.

Hope this helps :)

The tip of a pendulum moves through an angle of 0.38 rad radians. If the radius of the pendulum is 25 centimeters then which of the following is the length of the arc the tip moves through

Answers

we know that
circumference=2*pi*r
for r=25 cm
so
circumference=2*pi*25-----> 50*pi cm

if
2*pi radians (full circle) has a length of----------------> 50*pi cm
0.38 radians-------------------> x
x=0.38*50*pi/(2*pi)-----> x=9.5 cm

the answer is
9.5 cm

Simplify 5 √180 (show work)

Answers

5 \/180 (please note that \/180 is the square root symbol I’m using
= 5 \/4 x \/45
= 5 x 2 \/9 x \/5
= 10 x 3 x \/5
= 30 \/5

I did this a couple of years ago in AS maths and I think this is how it’s done. Hope it’s helpful!
Final answer:

To simplify 5√180, break down 180 into its prime factors, take out the square of the prime factors, and simplify.

Explanation:

To simplify 5√180, we can break down 180 into its prime factors which are 2^2 * 3^2 * 5. Then, we can take out the square of the prime factors since we have a square root. This leaves us with 2 * 3 * 5√5. Simplifying further, we get 30√5.

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write the function for the graph below

Answers

This is a function y=√x that was moved 2 units to the right.
y=√(x-2)

The length of a rectangle is 3 m longer then it’s width the area of the rectangle is 154 m^2 what is the width of the rectangle

Answers

The width is 11.

You can get this by setting up an equation that says:

x (x - 3) = 154

Then distribute and use the quadratic equation to solve. 

Frank wants to know how many people live in each household in his town. He conducts a random survey of 10 people and asks how many people live in their household. His results are shown in the table.


Number of People per Household
1 6 2 4 4 3 5 5 2 8

Calculate the mean absolute deviation of the number of people per household

Answers

The mean absolute deviation for this is 1.6
 

The mean absolute deviation is 1.6.

Given that the number of People per Household

1 6 2 4 4 3 5 5 2 8

We have to determine the mean absolute deviation

What is the mean deviation?

The mean absolute deviation is found by finding the mean, then finding how far each number is to the mean, then finding the mean of that.

The mean is: (1 + 6 + 2 + 4 + 4 + 3 + 5 + 5 + 2 + 8)/10 = 40/10 = 4

The distances of all of the numbers are

(absolute value of the difference between 3.5 and the number)

3,2, 2, 0, 0, 1, 1, 1, 2, 4

The mean of those is: 3+2+2+ 0+ 0+1+1+ 1+ 2+ 4 /10 = 16/10 = 1.6

Therefore the mean absolute deviation is 1.6.

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Which group of numbers is ordered from least to greatest

Answers

A  the answer is A yes it is A 

what does the expression 0.30y represent ?

Answers

The expression represents 0.30 times y, but I do not know the value of y.

use the integer values of x from -3 to 13 to graph the equation y= -x

Answers

y = -x

This is an equation of the straight line, therefore we need only two points to the graph.

for x = -3 we have y = -(-3) = 3 → (-3; 3)

for x = 0 we h→ve y = -0 = 0 → (0; 0)

The graph in the attachment

The google family built a rectangular swimming pool in their backyard.The floor of the pool has an area of 485 5/8 square feet.If the width of the pool is 18 1/2 feet,what is the length of the pool?

Answers

A= Area= 485 5/8 ft^2
W= Width= 18 1/2 ft
L= Length= ?


Area= LW
plug in known numbers

485 5/8= (L)(18 1/2)
convert to improper fractions

3885/8= (L)(37/2)
divide both sides by 37/2

3885/8 ÷ 37/2= L
to divide fractions, multiply by the reciprocal/inverse of 37/2

3885/8 * 2/37= L
multiply numerators; multiply denominators

(3885*2)/(8*37)= L
multiply inside parentheses

7770/296= L
simplify

105/4 feet= L
change to mixed number

26 1/4 feet= L


ANSWER: The length is 26 1/4 feet (or 26.25 feet).

Hope this helps! :)
Area = Length x Width

[tex]485 \dfrac{5}{8} = 18 \dfrac{1}{2} \times \text{ Width}[/tex]

Divide both side by 18 1/2:
[tex]\text{ Width} = 485 \dfrac{5}{8} \div 18 \dfrac{1}{2} [/tex]

Convert to improper:
[tex]\text{ Width} = \dfrac{3885}{8} \div \dfrac{37}{2} [/tex]

Change divide fraction to multiplicationf fraction:
[tex]\text{ Width} = \dfrac{3885}{8} \times \dfrac{2}{37} [/tex]

Mutliply and simplify: 
[tex]\text{ Width} = \dfrac{104}{4} = 26 \dfrac{1}{4} \text{ feet}[/tex]

Answer: Length = 26 1/4 feet

Richard and samantha are charting their monthly cash flow. They have some expenses like car repairs and vacations that are not paid each month. How can they account for these non-monthly expenses ?

Answers

they can put them into a chart called unexpected expenses. 

This way they can take vacations or if they have car troubles 


It would make their life so much easier

Final answer:

Richard and Samantha should estimate yearly costs for non-monthly expenses, divide by 12, and save this amount each month, incorporating it as a fixed expense in their budget.

Explanation:

Richard and Samantha can account for non-monthly expenses in their monthly cash flow by setting aside money each month for these irregular expenses. To do this, they should estimate the total cost of these expenses for the year and divide that amount by 12. This will provide the monthly amount they need to save in order to cover costs such as car repairs and vacations without disrupting their budget. Each month, this amount should be treated like a fixed expense and set aside in a savings or separate account, ensuring that funds are available when these expenses occur.

Example:

Car Repairs: Estimated at $600 per year (divide by 12 = $50 per month)

Vacations: Estimated at $1200 per year (divide by 12 = $100 per month)

By including these estimated expenses in their monthly budget, they can create a more accurate and effective budget that accommodates all their financial activities throughout the year.

Teo has 4 2/3 pitchers of juice. One glass holds 1/6 of a pitcher. How many glasses can Teo fill?

Answers

Teo can fill 7 glasses
4 2/3 divided by 1/6
Change 4 2/3 to 14/3
14/3 / 1/6 = 14/3 x 6/1
84 glasses

Two constructors working together finished building a room in 6 days. How long would it take for each constructor to build the room by himself, if it is known that one of them would require 5 more days than the other?

Answers

If the first constructor works alone for one day he will do (1/x) part of work.
If the second constructor works alone for one day he will do (1/(x+5))  part of work.
If they work together, they will do for one day

[tex] \frac{1}{x} + \frac{1}{x+5} part of work. Also, if they work together, for one day they will do 1/6 part of work. So, [/tex]
[tex] \frac{1}{x} + \frac{1}{x+5} = \frac{1}{6} , \frac{x+5+x}{x(x+5)} = \frac{1}{6} , \frac{2x+5}{ x^{2} +5x} = \frac{1}{6} , 6(2x+5)=x^{2} + 5x 12x+30 =x^{2}+5x x^{2} -7x-30=0 (x-10)(x+3)=0 x_{1}= 10, x_{2}=-3 For our problem we can use only positive value, x=10 days will work the first worker. The second worker will work x+5=10+5= 15 days. First worker alone will work 10 days, second worker alone will work 15 days. Check, (1/10)+(1/15)=(1/6) (3+2)/30=(1/6) 1/6=1/6 True [/tex]

A can build the room by himself in 10 days, and B can build the room by himself in 15 days.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's call the faster constructor "A" and the slower constructor "B".

We know that B takes 5 more days than A to complete the job.

Let's call the number of days it takes A to build the room "x".

Then the number of days it takes B to build the room is "x+5".

Now,

We also know that if they work together, they can finish the room in 6 days.

Let's call the fraction of the job that A can do in one day "a"

(which means that B can do "a - 1/6" of the job in one day).

We can use the following equation to solve for "a":

1 = (a + a - 1/6) x 6

Simplifying this equation, we get:

1 = (2a - 1/6) x 6

1 = 12a - 1

12a = 2

a = 1/6

So A can do 1/6 of the job in one day.

We can use this information to solve for "x" and "x+5":

1/x + (1/(x+5)) = 1/6

Multiplying both sides by the least common multiple of the denominators (6x (x+5) ), we get:

6 (x+5) + 6x = x (x+5)

Expanding and simplifying, we get:

x² - 7x - 30 = 0

Solving for x using the quadratic formula, we get:

x = 10 or x = -3

Since x has to be a positive number (because it represents the number of days it takes A to build the room), we can ignore the negative solution.

Now,

It takes A 10 days to build the room, and it takes B 15 days to build the room (since B takes 5 more days than A).

Therefore,

A can build the room by himself in 10 days, and B can build the room by himself in 15 days.

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Alternately, the gardener decides to choose the plants in the first row. What is the average number of tomatoes on these plants

Answers

Is there an image supposed to be here?

Your last five customer interactions lasted 2,3,6,8 and 4minutes how many minutes did i average across the 5

Answers

10 minutes 
2 to 3 is 1 
3 to 6 is 3
6 to 8 is 2
8 to 4 is 4
adding 1+2+3+4= 10 minutes; the average

You average across 4.6 minutes per customer.

What is average?

The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the sum of the total number of observations by the total number of observations.

Given:

Your last five customer interactions lasted 2,3,6,8 and 4 minutes.

The total number of observation is 5.

The average = the sum of the observations / the number of observations.

The average = (2 + 3 + 4 + 6 + 8)/5

The average = 23/5

The average = 4.6 minutes.

Therefore, 4.6 minutes per customer is the average.

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Is 35 over Pi (35 divided by pi):
Slightly less than 9
Slightly more than 9
Slightly less than 12
OR
Slightly more than 12
Please help and no wrong answers!

Answers

35/pi is a calculator question. A standard calculator has pi to about 10 digits stored in it's  memory. As an educated guess before doing it (according to the bible is just under 12 since pi is recorded as 3 in Kings I think).

Our calculators record pi as 3.141592654

35/pi = 11.14084602 which is just under 12. <<<<< answer

35/pi is a calculator question. A standard calculator has pi to about 10 digits stored in it's  memory. As an educated guess before doing it (according to the bible is just under 12 since pi is recorded as 3 in Kings I think).


Our calculators record pi as 3.141592654


35/pi = 11.14084602 which is just under 12. <<<<< answer


1

m∠HGF = 16 x + 4, m∠EGF = 110°, and m∠HGE = 3 x + 11. Find x .

Answers

Hope this helps :) when you plug x into the original equations, if you round they add up to 70

the sum of three numbers is 161 the second number is six times the first and the third is 5 more than the second find the numbers

Answers

x+y+z=161 . y=7+x . z=5x. x+x+7+5x=161 . x=22 y=x+7=29 z=5x=110

On a spinner: P(3) = ⅜ and p(4) = ⅓ What is the probability of getting 3 or 4?

Answers

Answer:

3/8. + 1/3

9/24 +8/24

17/24

Find P(A or B) if the events are disjointed. P(A) = P(B) =

P(A) = 11/25
P(B) = 9/25

A. 4/25
B. 3/5
C. 2/25
D. 4/5

Answers

The answer would be 4/5 plz mark brainliest .

Is how many countries are in North America a statistical question

Answers

yes, because you could collect data to answer the question.

The question, "How many countries are in North America" is not a statistical question.

What are statistical Questions?

Statistical questions are defined as the questions which are answered by collecting data from many which will probably vary.

The given question is,

How many countries are in North America"How many countries are in North America.

Although the answers to this from the students may vary because they don't know, the answer to this question is a constant.

This is not something which varies.

Hence this is not a statistical question.

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The area of a circular pool is 314 square feet. Write and solve an equation to find the diameter of the pool cover.

Answers

STEP 1:
Use the area of a circle formula to first calculate the radius.

A= πr^2
plug in known numbers

314= (3.14)r^2
divide both sides by 3.14

100= r^2
take square root of both sides

10 feet= r


STEP 2:
find the diameter

Diameter= 2 * radius

D= 2 * 10
D= 20 feet


CHECK:
A= (3.14)(10)^2
A= (3.14)(100)
A= 314 feet squared


ANSWER: The diameter is 20 feet.

Hope this helps! :)

the fifth grade classes at sunshine School you six identical buses to go on the field trip there were a total of 30 seats on each bus all the seats on 5 buses were filled the 6 bus had 4/6 of the seats filled 1/5 of all the passengers were adults how many adults went on the field trip with the fifth grade class

Answers

Your answer should be 34 adults because a total of 170 people went on the field trip and 170*1/5=34.

harry buys a sofa set that costs$2,000.he pays for it with 12 month installments. how much will he pay each month? if he has to pay5%in interest how much will he pay in all for the sofa set?

Answers

Harry's monthly payment for the sofa set is approximately $175, which includes principal and simple interest. The estimated total payment amount after 12 months is $2100.

Harry buys a sofa set that costs $2000 and chooses to pay for it in 12 monthly installments. First, to find out the monthly payment without interest, we divide the total cost by the number of installments. So, $2000 divided by 12 months equals to $166.67.

However, there is an interest of 5% on the outstanding amount. To calculate the total interest on an installment plan, we typically would need to calculate the interest on the reducing balance each month; however, for simplicity, let's assume it's 5% of 2000 for the year, which is $100 (5/100 * $2000). Divided by 12 months, that's about $8.33 in interest per month, giving a total monthly payment of $175 ($166.67 + $8.33).

This simplistic approach gives us a rough estimate, and the actual amount could be slightly different due to the reducing balance method used by most financing options. Assuming the simple interest calculation, Harry will pay $175 per month, and in all, he will pay an estimated total of $2100 ($175 * 12) for the sofa set.

A company says that the probability of finding an all-star card in a game pack is 12.5%. A student wants to determine the probability that, if he buys 6 game packs, 2 or more will have an all-star card.

To do this, he uses a random number table to pick 6 numbers from 1 to 8. He lets 1 represent a pack with an all-star card and 2 through 8 represent a pack without an all-star card. He repeats this for a total of 15 trials. The results are shown in the table.

561673 366468 314255 361362 838443 126285 257231 768551 652585 468113 123711 322764 487626 783134 384664

Select from the drop-down menus to correctly complete each statement.

To estimate the probability that 2 or more out of 6 packs will have an all-star card, the student must count the number of trials with BOX RIGHT HERE and divide by the number of trials.

This gives an estimated probability of about . BOX RIGHT HERE

PLEASE I NEED THIS ANSWERED I HOPE ITS CLEAR ENOUGH.

Answers

Answer:

the first box is "two or more 1s"

the second box is "0.13"

Step-by-step explanation: Im a K12 Student

The probability that 2 or more out of 6 packs will have an all-star card is given by the equation P = 0.1333

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that 2 or more out of 6 packs will have an all-star card be P

The probability of finding an all-star card in a game pack is 12.5 %

The student has pointed that 1 represent a pack with an all-star card and 2 through 8 represent a pack without an all-star card

The test results are given in set A = { 561673, 366468, 314255, 361362, 838443, 126285, 257231, 768551, 652585, 468113, 123711, 322764, 487626, 783134, 384664 }

The number of trials that represent that 2 or more out of 6 packs have an all-star are = { 468113 , 123711 }

Therefore , the probability is given as

Probability that 2 or more out of 6 packs will have an all-star card P = 2/15

On simplifying the equation , we get

Probability that 2 or more out of 6 packs will have an all-star card P = 0.133

Hence , the probability is 13.33 %

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Help please! Don’t understand!

Answers

[tex]6+2-(-1)+(-8)=8+1-8=1[/tex]
Hi there! The answer is 1.

[tex]6 + 2 - ( - 1) + ( - 8) = [/tex]
Keep in mind that the sum of a plus and a minus ends up in a minus. So
+ - = -

Keep in mind that the sum of a minus and a minus ends up in a plus.
- - = +

[tex]6 + 2 + 1 - 8 = [/tex]
Now add from left to right.

[tex]8 + 1 - 8 = [/tex]
Add once more

[tex]9 - 8 = [/tex]
Subtract

[tex]1[/tex]
Hence, the answer is 1.
~ Hope this helps you!
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