OF FRACTIONS
EXERCISE 8-2
Solve these problems. Show your work,
(1) An interior wall of a house is made up of
2 x 4 studs covered on each side with 3/4 in.
wallboard. If the actual width of a 2 x 4 stud
is 3 5/8 in., what is the total thickness of the
wall?

Answers

Answer 1

Answer:

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Related Questions

3.6 + t = 4.5
please answer this

Answers

Answer: t= 0.9

Step-by-step explanation:

3.6+t=4.5

Subtract 3.6 from both sides

This is hella easy got more like these if so keep em coming

Which two types of lines only meet inside the triangle?

Answers

Answer:

angle bisectors and opposite side perpendiculars

Step-by-step explanation:

Reduce to simplest form -9/11 - (-7/4)

Answers

Answer:

74 is already in the simplest form. It can be written as 1.75 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:


#2) Which of the following would be considered a financial advantage of renting a
house or apartment?
Renters receive no federal income tax benefits.
Renters do not have the maintenance costs associated with home ownership.
Renters do not build equity on the house they rent.
O None of the above

Answers

Renters do not have the maintenance costs associated with home ownership.

Home owners have to pay for all costs & repairs needed which can be $$$$

Renters do not have the maintenance costs associated with home ownership. Therefore, option B is the correct answer.

What is tax?

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

Both renting and buying have their financial advantages, and owning a home isn’t right for everyone.

Unlike homeowners, renters have no maintenance costs or repair bills and they don't have to pay property taxes.

Amenities that are generally free for renters aren't for homeowners, who have to pay for installation and maintenance.

Renters do not have the maintenance costs associated with home ownership.

Home owners have to pay for all costs & repairs needed.

Therefore, option B is the correct answer.

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one peach weigh 5 ounces. bella buys 8 peaches. what is the total weight of the peach​

Answers

Answer:

40 ounces

Step-by-step explanation:

well if every peach weighs 5 ounces and she buys 8, just do 8 x 5 and you get 40

HELP
Find the mean, median, mode, and range of the following data set.

15, 12, 19, 15, 16, 13, 15.

Mean:

Median:

Mode:

Range

Answers

The meadian is 15
Mean is 331
Mode is 15
Range is 1903

Hope this helps

Select the correct answer.
Which statement about the function represented by this graph is true?
A. The function has an inverse because it passes the vertical line test.
B. The function does not have an inverse because it never crosses the x-axis
C. The function has an inverse because it passes the horizontal line test.
D. The function does not have an inverse because it does not pass the horizontal line test.

Answers

Answer:

your answer will be C. The function has an inverse because it passes the horizontal line test.

bye have a nice day ^_^

C. The function has an inverse because it passes the horizontal line test.

What is function ?

A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.

The relation f from a domain set to co-domain set is called function.

Example : f = {(x, y) | for all x∈X & y∈Y}

A relation becomes function when every element of domain has one and only one image in co-domain.

What is inverse of function ?

If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]

Inverse function of a function always undoes the operations of the function f.

f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.

Which is the correct option ?

From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.

Hence the option C is the correct one.

C. The function has an inverse because it passes the horizontal line test.

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If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle. PLZZZZZZ HELP WILL MAKE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

L-6=W+3

L=W+9

LW-(L-6)(W+3)=27, using L from above makes this

W(W+9)-(W+9-6)(W+3)=27

W^2+9W-(W+3)(W+3)=27

W^2+9W-W^2-6W-9=27

3W-9=27

3W=36

W=12, since L=W+9

L=12+9=21

A=LW

A=21(12)

A=252 cm^2

The area of the rectangle is 252 cm^2.

Calculation of the area of the rectangle:

Since

If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm.

So it can be like

L-6=W+3

L=W+9

Now

LW-(L-6)(W+3)=27

So,

W(W+9)-(W+9-6)(W+3)=27

W^2+9W-(W+3)(W+3)=27

W^2+9W-W^2-6W-9=27

3W-9=27

3W=36

Also,

W=12, since L=W+9

L=12+9=21

So,

A=LW

A=21(12)

A=252 cm^2

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Copper costs £5 per kilogram.
Zinc costs £3.20 per kilogram.
Copper and zinc are mixed in the ratio 4:1 to make brass.
Work out the cost of 7 kilograms of brass

Answers

Answer:

4x(5)+1×(3.20)= 20+3.20=23.20

Step-by-step explanation:

The cost of 7kg of brass is £32.48.

What is ratio?

A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

According  to the given question.

Cost of one kg of copper = £5

Cost of one kg of zinc = £3.20

Also, copper and zinc are mixed in the ratio 4:1.

Let the quantity of copper be 4x and the quantity of  zinc 1x.

Weight of brass = 7kg

⇒ 4x + 1x = 7

⇒ 5x = 7

⇒ x = [tex]\frac{7}{5}[/tex]

⇒ x = 1.4

Weight of copper, 4x = (1.4)(4) = 5.6kg

Weight of zinc, 1x = (1) ×(1.4)  = 1.4kg

Therefore,

The cost of 7kg of brass

= (5.6)×(£5) + (1.4)(£3.20)

= 28 + 4.48

= £ 32.48

Therefore, the cost of 7kg of brass is £32.48

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A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?

Answers

Answer:

OK I will dot this after getting 10 followers

Answer:

deez

Step-by-step explanation:

by what percent would a number change if it increased by 5% and the result was also increased by 5%

Answers

Answer:

10.25%

Step-by-step explanation:

imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%

Hope this is correct :) I'm rly not sure now

Answer:

10%

Step-by-step explanation:

15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps​

Answers

Answer:

Volume of cuboid = 2000 m³

Step-by-step explanation:

Given the following data;

Base area = 500 m²

Height = 4m

To find the volume of a cuboid;

The volume of a cuboid is given by the formula;

Volume of cuboid = length * breadth * height

But remember, base area = length * breadth

Therefore, the volume of the cuboid becomes;

Volume of cuboid = base area * height

Substituting into the equation, we have;

Volume of cuboid = 500 * 4

Volume of cuboid = 2000 m³

193 students are attending the next reward trip. There are eight drives available and two types of vehicles,
school buses and minivans. The school buses seat 51 people each and the minivans seat 8 people each. How
many buses and minivans will be needed?

Answers

Answer:

3 busses and 5 vans

Step-by-step explanation:

3 x 51 = 153

193 - 153 = 40

40 / 8 = 5

PLS PLS PLS PLSSSSS HELPPP

Answers

Answer:

The regular bottle holds 9 fl oz of sun screen

Step-by-step explanation:

75% of 12 = 9

PLEASE HELP!!!!!!!!! I NEED IT

The angle of elevation from a point on the ground to the top of a tower is 18°. The base of the tower is 100 feet from the point on the ground. Find the height of the tower. Round to the nearest tenth of a foot.

Answers

Answer:

32.5 feet

Step-by-step explanation:

This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).

With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.

tan 18 = [tex]\frac{x}{100}[/tex]

Multiply each side by 100:

(100) tan 18 = x

Simplify and round to the nearest tenth:

32.49 = x

32.5 = x

So, the height of the tower is approximately 32.5 feet

What is the measure of ∠UVW in the triangle shown?
Question 19 options:

A)

140°

B)

50°

C)

60°

D)

10°

Answers

Answer:

50°

Step-by-step explanation:

Given that a triangle measures 180°.

∠U =40°

∠W=90°

Sum:130°

180°-130°=50°

Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.

What will his monthly payment be? (Use the table.)


$94.56


$96.79


$123.21


$141.81

Answers

Answer:

94.56

Step-by-step explanation:

because 94,56 x 11.5 x 5 =4300

Answer:

Step-by-step explanation:

Equal installments can be found by

I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)

I=4300((1.00958-1)/(1.00958^60-1)+0.00958)

I=$94.56

Find the number that belongs
in the green box.
322
7
125°
[?]
Round your answer to the nearest tenth.

Answers

Answer:

2.7

Step-by-step explanation:

322/7=46

46*125=2.71739

round off

2.7

Which measurement has the LEAST capacity?

2 gallons

7 quarts

19 pints

30 cups

Answers

Answer:

30 cups

Step-by-step explanation:

only equal to 15 pints

Help pls also show work if needed!

Answers

Answer:

unknown value = 800

Step-by-step explanation:

f(x) = 1333/100·x + 1/5

so if x = 60 - > (1333/100)60+1/5 = 800

Answer: 800

Step-by-step explanation: 933.3-133.3=800-133.3=666.7-133.3=533.4

Choose the linear Inequality that describes the graph. The gray area represents the shaded region.

Answers

Answer:

3

Step-by-step explanation:

the y axis

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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box.


A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall.

Answers

ANSWER: 141.4
EXPLANATION: use pythagorean theorem

IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020

Answers

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

Can I have help with number 5

Answers

Answer:

1

Step-by-step explanation:

2a-21 / b

2(4)-21/3

8-7=1

Answer:

1

Step-by-step explanation:

(FIRST THING FIRST REMEMBER PEMDAS)

First you rewrite the number sentence with the clues you got.

2 x 4 - 21 / 3

Then you do 2x4 to get 8, then you rewrite the # sentence again

8 - 21 / 3

Next you divide 21 / 3 to get 7 and rewrite the sentence again

8-7

FINALLY you subtract 8-7 to get 1

A local hamburger shop sold a combined total of 486 hamburgers and cheeseburgers on Sunday. There were 64 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Answers

Answer:

Step-by-step explanation:

h and c are the numbers of hamburgers and cheeseburgers, respectively.

“a combined total of 486 hamburgers and cheeseburgers”

h + c = 486

“64 fewer cheeseburgers sold than hamburgers”

c = h - 64

Substitution:

h + (h-64) = 486

2h = 550

h = 275

275 hamburgers were sold

A triangle has sides with lengths 8, 15, and 17.

1. Verify this is a Pythagorean Triple

2. Approximate the acute angles in this triangle

Answers

Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

What is the Pythagorean Triple?

Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

Given that, A triangle has sides with lengths 8, 15, and 17.

1) Checking for Pythagorean triples;

17² = 289

8²+15² = 225+64 = 289 = 17²

∴ 17² = 8²+15²

Since, they are following the Pythagoras theorem so, they are  Pythagorean triples.

2) Calculating the acute angles:-  [please refer to attached figure]

Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,

sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)

∠ C = sin⁻¹(15/17)

∠ C = 61.92°

∠ A = 90°-61.92°

∠ A = 28.08°

Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and  28.08°.

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A watch seller gained 20% by selling a watch for rs 1260.is) What was its cost price.ii)If he had to gain 30%,at what price should have sold it​

Answers

Step-by-step explanation:

A watch seller gained 20% by selling a watch for 1260.If he had to gain 30%,at what price should have he sold it?

Dalton III

Answered December 12, 2020

I shall explain the solution to this problem using rudimentary concepts.

First, we need to determine the original price of the watch.

Convert the percentage profit to a decimal by dividing by 100. In this problem, the profit is 20%, so we would divide:

20100=0.2

Add 1 to the profit expressed as a decimal.

1+0.2=1.2

Divide the price after the profit has been added by the figure which we have calculated to find the price before the profit (we shall assume that the currency used in this problem is the pound sterling)

£12601.2=£1050

Now that we have determined the original price of the watch, we shall determine at what price should the seller sell this watch in order to obtain a 30% gain. The same formula is used for the first two steps.

Convert the intended percentage profit to a decimal by dividing by 100. In this problem, the intended profit is 30%, so we would divide:

30100=0.3

Add 1 to the intended profit expressed as a decimal.

1+0.3=1.3

Now, instead of dividing, we would want to multiply the original price with the figure 1.3

£1050⋅1.3=£1365

So, in order to gain a profit of 30%, the watch seller should sell the watch at a price of £1365

PLEASE HELP ME :’)
determine the value of X

Answers

Answer:

x = 26degrees

Step-by-step explanation:

The sum of all angles in any triangle is 180degrees. The given figure is a triangle, therefore, one can apply this property to the given triangle. Form an equation using this given information,

(2x) + (3x) + (50) = 180

Simplify,

5x + 50 = 180

Inverse operations,

5x + 50 = 180

    -50      -50

5x = 130

/5     /5

x = 26


One month Maya rented 2 movies and 3 video games for a total of $20. The next month she rented 6 movies and 5 video games for a total of $38. Find the
rental cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:

Answers

Answer:

[tex]M = 1.75[/tex] --- Movies

[tex]V = 5.5[/tex] --- Video games

Step-by-step explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

[tex]2M + 3V = 20[/tex]

The next month, the expression is:

[tex]6M + 5V = 38[/tex]

Required

Find M and V

We have:

[tex]2M + 3V = 20[/tex] --- (1)

[tex]6M + 5V = 38[/tex] --- (2)

Multiply (1) by 3.

3 * [tex]2M + 3V = 20[/tex]

[tex]6M + 9V = 60[/tex] --- (3)

Subtract (1) from (3)

[tex]6M + 9V = 60[/tex]

- [tex]6M + 5V = 38[/tex]

-------------------------

[tex]6M - 6M + 9V - 5V = 60 -38[/tex]

[tex]4V = 22[/tex]

Divide by 4

[tex]V = 5.5[/tex]

Substitute 5.5 for V in (1)

[tex]2M + 3V = 20[/tex]

[tex]2M + 3 * 5,5 = 20[/tex]

[tex]2M + 16.5= 20[/tex]

Subtract 16.5 from both sides

[tex]2M = 3.5[/tex]

Divide by 2

[tex]M = 1.75[/tex]

Does anyone know what 0.4 divided by 2.4 is? I think it’s 0.6 or 6 not for sure tho!

Answers

Answer:

0.16 I think............

Answer:

0.16666666666

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Evaluate 3x + 4y when x = 2 and y = 5 find the nth term of the sequence 7, 17, 27, 37 William and his three friends had lunch at a restaurant. They split the bill equally. The total bill was $34. They left a 15% tip. How much would each person pay? Describe the transformation of the parent functionf(x)=x2When g(x)=12f(x)+2 Help!Choose the correct number line that represents the following inequality...x>5 Please give me the correct answer.Only answer if you're very good at math. Find the area of the shape PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!! How does the DNA macromolecule help our cells? Stores and ( ) information Solve this for the brainlist Name the triangle by looking at its angles. Find the area of the shaded region in this figure.A)10 cm2B)190 cm2C)200 cm2D)210 cm? Choose all of the items that are associated with Eugene V. Debs.es )A) never held elected officeB) arrested for speaking out against war in World War IC) emigrated to the Soviet Union after the end of World War ID) was a socialist candidate for President of the United StatesE) received over 3% of the popular vote when running for President while inprison After Romeo is banished, Juliet tells her mother that she wishes she could go and find him. What is ironic about this? A) Juliet would be banished as well. B) Juliet is preparing to marry Paris and that would disrupt the wedding plans. C) Juliets mother things she wants to go and kill Romeo to avenge Tybalts death instead of her running off with her lover. D) Paris wants to chase down Romeo and kill him for Tybalts death, so Juliet, knowing where Romeo is, would be making it easier for Paris to find him. What do the egwugwu do for the villages of Umuofia? The boxplot below displays the arm spans for 44students.The five-number summary for the data is 143, 162,168, 180, and 202.Which of the following is not a true statement?Approximately 75% of the arm spans are less than180 cm.O Approximately 50% of the arm spans are less than168 cm.Approximately 25% of the arm spans are less than180 cm.140 150 160 170 180 190 200 210Arm Span (cm)O Approximately 75% of the arm spans are greaterthan 162 cm. The second most populated city in India is __________ and it is a ___________ center. State the domain and range of the relation given in the table below, and determine if it is a function, 16 -8 4 1 -8 7y 8 -6 -14 -9 7 24Domain: {Range:{Is the relation a function?O NoOYes What is the approximate volume of this tree trunk if the circumference is 26 inches and the height of the trunk is 22 inches, Explain one way in which imperialism in state run colonies was similar to imperialism in settler colonies in the period 1750-1900