A bookcase is to have 5 shelves including the top. The height of the bookcase is to be 3 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase?

Answers

Answer 1

Answer:

The width and height is 1.375 and 4.375 respectively

Step-by-step explanation:

The computation of the width and height of the book case is shown below:

Let the width be w

And, the height be h

So, the following equations should be made

5w+3h=20 ......(i)

h = w + 3......(2)

Now

put the value of h in equation (1)

5w + 3(w + 3) = 20

5w + 3w + 9 = 20

8w = 20-9

8w = 11

w = 11 ÷ 8

= 1.375

And, the height would be

= 1.375 + 3

= 4.375


Related Questions

Terry puts 14 comic books on each shelf of a bookcase. The expression 14s can be used to find the number of books on the shelves. Use the expression to find the total number of comic books on 7 shelves.

Answers

Answer:

dump-the-books-out

Step-by-step explanation:

i-think

find the missing angle. PLEASE HELP!! I WILL GIVE 100 POINTS!!

OPTIONS:
50
60
140
70

Answers

Answer:

50°

Step-by-step explanation:

90°-40°=50°

The square on the angle means 90°.

Hope this helps! :D

please help will ill brainiest if correct

Answers

Answer:

The answer would be -4.

Step-by-step explanation:

yeah I didn't do too good on that unit with the integers kind of thing so, yeah....

how I did this question: imagine if you owe someone $9 but you only have $5 so you give them those $5 so now you only owe them for dollars.

70 is what percent of 56

Answers

Answer:

70 is 125% of 50

Step-by-step explanation:

I hope this helped :)

The percentage value of 70 to  56 is 125% by taking the ratio of 70 to 56 and then converting it to a percentage.

Given that, to find what percent of 70 in 56.

To find out if the percentage of 70 is 56, follow the steps:

Step 1:Find the ratio of the two numbers that is the ratio of  70 and 56 gives:

[tex]70:56 = 70/56[/tex]

Divide both numerator and denominator by 14 yields in:

[tex]= 5/4[/tex]

Step 2: Convert the result of step 1 into decimals by a long division of  5 by 4.

[tex]5/4 = 1.25[/tex]

Step 3: Find the percentage value of the decimal by multiplying the decimal by 100.

[tex]1.25 \times100 = 125[/tex]%

Therefore, the percentage value of 70 to  56 is 125% by taking the ratio of 70 to 56 and then converting it to a percentage.

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What is a congruence statement? PLEASE ANSWER HURRY

Answers

Answer:

A congruence statement says that two polygons are congruent.

Step-by-step explanation:

To write a congruence statement, list the corresponding vertices in the same order.

if
[tex]a = \frac{2x + \sqrt{x} }{x} [/tex]
and
[tex]b = \frac{1 - 2 \sqrt{x} }{ \sqrt{x} } [/tex]
without sing a calculator, show that
[tex](a + b) {}^{2} = \frac{4}{x} [/tex]

Answers

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by [tex]\sqrt{x}[/tex]

[tex]b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x} }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\[/tex]

Now, find a +b

[tex]a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}[/tex]

Combine like terms

[tex]= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}[/tex]

Now find (a + b)²

(a +b)² = [tex](\frac{2\sqrt{x} }{x})^{2}[/tex]

          [tex]= \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}[/tex]

Hint: [tex]\sqrt{x} *\sqrt{x} =\sqrt{x*x}=x[/tex]

Tania earns $16 per hour at the Glendale Florist. She regularly works 40 hours per week.
She is paid time-and-a-half for each hour of overtime work. Last week she worked 43
hours.
7) How much was she paid for her regular hours?
a $600
b. S520
C. S640

Answers

Answer:

$640 is how much she will make in in regular hours.

Step-by-step explanation:

Create an equation from the word problem and solve.

Option A is correct, $640 is the pay for her regular hours.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Tania earns $16 per hour at the Glendale Florist.

She regularly works 40 hours per week.

She is paid time-and-a-half for each hour of overtime work

Last week she worked 43 hours.

We need to find the payment she received for her regular hours.

16h is the expression to find the pay for h hours.

As she work for 40 hours.

Now plug in h as 40.

16×40

$640

Hence, option A is correct, $640 is the pay for her regular hours.

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What is the volume of a cylinder with a height of 7.1 ft and a base with a diameter of 12.8 ft, to the nearest tenth of a cubic foot?

Answers

Answer:

V=π(d

2)2h=π·(12.8

2)2·7.1≈913.62541ft³ Step-by-step explanation: because i said so

The volume of a sphere is 113.1 cm3; find the diameter of the sphere.

Answers

Answer:

del

Step-by-step explanation:

d

I need help on this pls

Answers

Answer:

Area= 56 cm²

Step-by-step explanation:

Figure given is a rhombus

Area= 1/2*d1*d2

what is a 90° plus 180° plus 15°​

Answers

Answer:

285°

Step-by-step explanation:

90 + 180 = 270

270 + 15 = 285

Answer:

285°

Step-by-step explanation:

Lets solve your problem :)

90° + 180° = 270°

270° + 15° = 285°

Mark my answer brainliest to tell you the 4 algebra calulators :)

PLEASE SOMEONE HELP ME! I NEED THE ANSWER ASP
The water spray from a spinning lawn sprinkler covers a circular area of 196π square feet. If Ray is standing 30 feet away from the sprinkler as it is spraying water, which of the following statements is true?


A. Ray will get wet because the sprinkler sprays an area with a radius of 196 feet and 30<196.


B Ray will stay dry because the sprinkler sprays an area with a radius of 14 feet and 14<30.


C. Ray will stay dry because the sprinkler sprays an area with a radius of 28 feet and 28<30.


D. Ray will get wet because the sprinkler sprays an area with a radius of 98 feet and 30<98.

Answers

Answer: B

Step-by-step explanation:

196π=πr^2

196=r^2

14=r

14<30

A sweater is 15% off. The regular price is $24. What is the price after the discount is taken off?

Answers

Answer:

$20.40 after the discount

Step-by-step explanation:

To find 15% of 24, you multiply 24 and 0.15, which gets you 3.6

Then, to find the price after the discount, you subtract the 15% (the 3.6). So, 24 - 3.6 = $20.40

3.60 cent because when you multiply 0.15 by 24$ you get 3.6 .

please help me, I don't understand this question​

Answers

Answer:

[tex]f(y) = \frac{9y^4+26y^2+9}{y^4}[/tex]

Step-by-step explanation:

Work is attached from a derivative calculator. If you hover over the steps it tells you exactly what its doing(on the website). Feel free to ask if you dont understand any of the individual steps it does.

Please help me with this question!

Answers

Answer:

Your Answer Is 10

Step-by-step explanation:

1st Factor the Numerator and Denominator then cancel the common factor.

Hope It Help You If Yes then Please make me the Brainiest.

Thank You

Parshv

Is a triangle with side lengths of 5, 10, and 15 a right triangle? Explain

Answers

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Using the property of the right triangle, square root (5^2 + 10^2) = 5root(5), and it is not equal to 15, so it is not a right triangle.

If triangle is a right triangle we can use Pythagorean theorem, c^2=a^2+b^2
c=15, a=5, b=10
15^2=5^2+10^2
225=25+100
225=125
225 is not equal to 125 therefore, this triangle is not a right triangle.

ILL GIVE 50 POINTS AND BRAINLIEST!!! ;)

Answers

Answer:

X=5

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

<EAD is 180° as a whole

All that is needed is to subtract 100° and 20° from 180°

now you are left with x° which is 60° left over from the 180°

Help For A Brainliest Please !

Answers

Answer:

ab = 6

a+b = 5

Step-by-step explanation:

Which of the following angles are congruent to 5? Select all that apply.

Answers

Step-by-step explanation:

in my opinion, maybe it's ∠1 and ∠4

∠1 and ∠4 are congruent to ∠5 by corresponding and alternate angle theorem.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

Given, line l and line m are intersected by a transversal line t.

Angles congruent to ∠5 is ∠4 by alternate interior angle theorem.

∠1 is also congruent to ∠5 by the corresponding angle theorem.

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Will the product of two positive numbers be positive or negative? Why?

PLEASE HELP1!1!1!1!!1

Answers

Answer:

Positive

Step-by-step explanation:

Two positive integers multiplied will always be positive.

Answer:

Positive

Step-by-step explanation:

two positive will always be a positive because of the rule of multiplication

identify the vertex of the function graphed below.
A. (3,1)
B. (0,-2)
C. (1,1)
D. (2,2)

Answers

The answer is D, (2,2). A vertex is where a line or curve meets and changes direction.

Answer:

D. (2,2)

Step-by-step explanation:

I did the test and I got it correct. :DD

HELP ASAP!!!
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones, can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.

What expression represents the profit, and what is the profit if 240 cell phones are sold?

40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800

Answers

Answer:

Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.

Step-by-step explanation:

The profit expression is 70x + 50 and the profit if 240 cell phones are sold is $16,850

How to calculate profit

Revenue, R = 2x² + 55x + 10Cost, C = 2x² – 15x – 40

where,

x = number of cell phones sold.

Profit = Revenue - cost

= (2x² + 55x + 10) - (2x² – 15x – 40)

= 2x² + 55x + 10 - 2x² + 15x + 40

Profit = 70x + 50

If x = 240

Profit = 70x + 50

= 70(240) + 50

= 16,800 + 50

= $16,850

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can y’all please help. I will send points if you want me to.

Answers

Answer:

the third one has a 2 acute angles 2 abuse angles and the x value is 110

Step-by-step explanation

the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle

5. Each pair of polygons below are similar. Show your work! Solve for x:

Answers

Answer:

x = 10

Step-by-step explanation:

30/35 = (6x-6)/63

210x - 210 = 1890

210x = 2100

x = 10

-6x^3y+9x^2y^2-12xy^3

Answers

3xy+(2x^2+3xy-4y^2)

I factored out 3xy from the expression.

Riley counted the number of balls on one layer of a box, 34. The box has 8 layers. How many balls can the box hold?

Answers

Answer:

8 times 34= 272

Step-by-step explanation:

The volume of a box is 400 in.^3in. ​3 ​​ . The height is 5 in. What is the area of the base of the box?

Answers

Answer:

The area of the base is 80 in².  80 square inches.

Step-by-step explanation: V = b×h

Divide the volume by the height to find the area of the base.

400 ÷ 5 = 80

Help me pleaseeeee thank youuu

Answers

Answer:

B, 3/10

Step-by-step explanation:

Going by SOHCAHTOA, we see that tangent is actually Opposite / Hypotenuse.

The opposite side of angle A here is 12, while the Hypotenuse is 40. Our answer is 12/40 which is 3/10.

What is the value of the expression below when z=6z=6?
2z2 -8z-2

Answers

I think its 6z I’m not to great on the subject but this may be it

Which description matches the function represented by this graph?
A. exponential growth
B. linear growth
C. linear decay
D. exponential decay

Answers

Answer:

your answer will be option D. exponential decay

Step-by-step explanation:

have a nice day/ night bye ^_^

The answer is D- exponential decay
Other Questions
According to the GINI index and other socioeconomic indicators, ___________.a. worldwide wealth inequality is rapidly decliningb. inequality of wealth in the USA is at its highest level everc. inequality of wealth in the USA is lower than it has been in yearsd. the country with the least inequality of wealth is Japanthe country with the most wealth inequality is Slovenia 10 POINTS!! Please help! No text evidence needed! 86 points and be happy One kitten weighs 2 pounds, 4 ounces, and a second kitten weighs 2 pounds, 2 ounces. What is their combined weight in ounces? *I WILL GIVE BRAINLEST BECAUSE I WANT TO BE NICE Which of the following increases the amount of water in the atmosphere size of the Inca civilization. I need help! Which statement best describes the polarity of the molecule Sil4? what aspect of Steinberg's life may have contributed to the fact that he never became a professional artist Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed o. Find each of the following for the given values ofr, w, and t r= 10 cm, 6 = radian per sec, t = 4 sec 6 radians (round to the nearest thousandths) a) What is the angle generated by P in time t? cm (round to the nearest thousandths) b) What is the distance traveled by P along the circle in time t? c) What is the linear speed of P? cm/sec (round to the nearest thousandths) Will give brainlist for correct answer. PLEASE HELP ASAP!!! PLEASE!!!!The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year.A graph shows the Number of Bushels on the x-axis and the Price of Corn in dollars on the y-axis. The x-axis scale is shown from 0 to 14 at increments of 2, and the y-axis scale is shown from 0 to 98 at increments of 14. A straight line joins the ordered pairs 2, 14 and 4, 28 and 6, 42 and 8, 56 and 10, 70 and 12, 84.Previous YearNumber of BushelsPrice of Corn (dollars)210420630840Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. PLZ HURRY Describe the flow of energy in a desert ecosystem. Be sure to include the following in your description: The distribution of the number of blocks a young child can stack before their tower falls is approximately Normally distributed with a mean of 12.7 blocks and a standard deviation of 1.4 blocks. If 6 of the childs towers are randomly selected, what is the probability that the mean number of blocks is more than 11 blocks? 0.0015 0.1123 0.8877 0.9985 Hey guys I need some help with this problem; Will mark brainliest :) Can someone solve this for x and y what does happiness really means HELPPPPPPPPPPPPP!!! Please help find the missing length can anyone answer this???? 4. The current temperature is 8F. The temperature is expected to be 3degrees below zero by noon. How many degrees is the temperatureexpected to change?A-11B. -3C 5D. 8