Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?

Answers

Answer 1

Answer: Each shelf is 2ft

Step-by-step explanation:

16 = (2 x 4) + 4s

16 = 8 + 4s

8 = 4s (subtract 8 from both sides)

8/4 = 4s/4 (divide both sides by 4)

2 = s


Related Questions

Point V is on line segment \overline{UW}
UW
. Given VW=5x-4,VW=5x−4, UV=2x,UV=2x, and UW=5x,UW=5x, determine the numerical length of \overline{VW}.
VW
.

Answers

Answer:

Vw=6

Step-by-step explanation:

The numerical length of VW is 16 units.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 12 -2 = 10

Given VW = 5x-4,

VW = 5x−4,

UV = 2x, and

UW = 5x,

By segment addition postulate:  UV + VW = UW

Substituting expressions given for each:

⇒ 2x + 5x − 4 = 5x

⇒ 2x = 4

⇒ x = 4

So, VW = 5(4) - 4

VW = 20 - 4

VW = 16

Hence, the numerical length of VW is 16 units.

Learn more about the arithmetic operations here:

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Do me this options same value of 65% of 20

Answers

Answer:

65% of 20 is 13

Step-by-step explanation:

Multiply 0.65 by 20

(0.65 is the same as 65%)

13

Which phrase best completes the list?

Types of Expenses - Taxes

Apply to money earned and spent

Usually take up about 14 percent of a person's income

?

A. Are paid to the government
B. Allow a person to buy a home
C. Pay for vital services like water
D. Do not need to be paid every year

Answers

Answer:a

Step-by-step explanation:

The solution is, O A. Are paid to the government, the phrase best completes the list. Types of Expenses.

Here, we have,

Explanation:

Utilities are expenses on essential and vital services common to households and businesses. They include water and sewage bills, electricity bills, and garbage disposal expenses. A firm offering such services generate utility bills. The cost covers a regular period, say mostly monthly.

Heating and internet or data costs are also being considered as utility expenses. They are common and essential for domestic and business use.

To learn more on Types of Expenses click:

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F = xi+yj+2zk and σ is the portion of the cone z=x2+y2−−−−−−√ between the planes z=4 and z=5 oriented with normal vectors pointing upwards. Find the flux of the flow field F across σ

Answers

there is no question for me to answer

Please help!! Will mark brainilest ☺️

Answers

Answer:

B

Step-by-step explanation:

x = -3

Means we go 3 units to the left of the origin and draw a vertical line ( up and down)

Answer:

B

Step-by-step explanation:

B because , it would be a straight line and it needs to cross x=-3. Its straight because there's no y. B is the only one that actually has -3 as x so B would be the only correct answer.

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)​

Answers

Is this question supposed to be a graph if so you should do make up a graph so we could see it

Problem: Suppose that on-the-job injuries in textile mill occur at the rate of 0.1 per day. What is the probability that two accidents will occur during the (five-day) work week

Answers

Answer: the probability that two accidents will occur during the (five-day) work week is 0.0758

Step-by-step explanation:

Given that;

injuries in textile mill occur at the rate of 0.1 per day; λ = 0.1

probability that two accidents will occur during the (five-day) work week = ?

T= 5

so, the average number of on the job injuries for five days will be;

λT = 0.1 × 5

= 0.5

now if X follows Poisson distribution, hemce

P( X=k ) = [e^-λT (λT)^k] / k!

so the probability that two (2) accidents will occur during the (five-day) work week will be;

P( X=k ) = [e^-0.5 (0.5)²] / 2!

= (0.6065 × 0.25) / 2

= 0.1516/ 2

= 0.0758

the probability that two accidents will occur during the (five-day) work week is 0.0758

A landscaper plants 18 bushes in a 36-foot section of land along the side of a house. How many bushes does the landscaper plant in a 10-foot section of land?

A.5
B.8
C.9
D.12

Answers

Answer:

Step-by-step explanation:

18 x 2 is 36 so to find out how many you could plant in a ten-foot area divide ten by 2 to get five.

Which situation can be represented by the equation 4d+5=29

Answers

Jane spent $29 from online shopping. There’s a one time shipping fee of $5. Jane buys 4 of the same item. How much is the cost of the item?

5) Choose which postulate proves the triangles congruent.

Answers

Answer:

AAS

Step-by-step explanation:

HEHE

     ΔBAC and ΔDAC are the congruent triangles by ASA postulate of the congruence of two triangles.

    In ΔBAC and ΔDAC,

Given properties are,

AC bisects ∠BADAC bisects ∠BCD

By using these properties,

∠BAD ≅ ∠DAC (Given)

∠BCA ≅ ∠DCB (Given)

AC ≅ AC (Reflexive property)

ΔBAC ≅ ΔDAC (ASA postulate of congruence of two triangles)

      Therefore, ΔBAC and ΔDAC will be congruent by ASA postulate for the congruence of two triangles.

Learn more,

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2. What is the greatest
common factor of 18 and
36?
A.18
B. 36
C. 72
D. 144


Answers

Answer: 18 and 36 is A.

Step-by-step explanation:

Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person will wait between 4.0 mi

Answers

Answer:

P(x=4) = 0.4

Step-by-step explanation:

The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.

f(x)= 1/ b-a          a≤ x≤ b

Here a = 0 and b= 10  but we want to know the probability of wait time between 4 minutes and 10 minutes

P (X=x) = (x-a) 1/(b-a)

P(x=4) = (4-0) 1/ 10-0

          = 4/10= 0.4

Henry decorates the top of each cupcake with 3 walnuts. If he has 56 walnuts, is that enough to decorate 2 dozen cupcakes? Why?

Answers

Answer:

No he does not have enough walnuts

Step-by-step explanation:

So if one dozen cupcakes is 12 then two dozen is 24 and each one has 3 walnuts and he only has 56 walnuts then what you have to do is multiply 24 by 3 and get 72 so the answer is no he does not have enough

Answer:

No, in order to decorate 2 dozen cupcakes(24) he needs 72 walnuts. With 56 he can only decorate 18 cupcakes.

Step-by-step explanation:

Find x
13x+5)
(6x – 14)°
y + 8)

Answers

Answer:

X=21

Step-by-step explanation:

3x+5+6x-14=180

9x-9=180

9x=180+9

9x=189

x=21

The answer is 21 :)

[tex]2s+5\geq 49[/tex]

Answers

Answer:

s≥22

Step-by-step explanation:

49-5

2s≥44

divide both sides of the inequality by 2

so 2s≥44 then turn into s≥22

Please answer this ASAP

Answers

9514 1404 393

Explanation:

1. ∠BAC ≅ ∠BCA, BD ≅ BE, ∆BDA and ∆BEC are right triangles . . . . given

2. ∆ABC is isosceles . . . . definition of isosceles triangle

3. BA ≅ BC . . . . definition of isosceles triangle

4. ∆BDA ≅ ∆BEC . . . . HL theorem

5. AC ≅ CE . . . . CPCTC

3. What is the equation of the line that
passes through the point (1,5); and
is parallel to the equation. y= -2x - 4

Answers

hello

so when finding a parallel line both lines need to have the same slope, the slope of the line from the given equation is -2.

then we use the point slope formula to find the equation of the line that passes through (1,5).

y-5=-2(x-1)
y-5=-2x+2
y=-2x+7

hope this helps!
have a nice day :)

Help
Djdjdjjdjdjdjdjdjdjdjdjdjdj

Answers

Answer:

B. Corresponding

Step-by-step explanation:

The angles are across from each other so they are corresponding angles.

Answer:

It's C. Vertical angle! Please mark me brainliest!!

Step-by-step explanation:

It's not B because look at this pic.

It's C. look at this pic.

I need help please please.

Answers

Answer:

C

15(2/3)=10

15/1 x 2/3 = 10

30/3=10

10=10

Step-by-step explanation:

Answer:

C apparently from what the guy above me said

find the value of x 2x = 98² - 2²​

Answers

Answer:

x = 4800

Step-by-step explanation:

2x = 98^2 - 2^2

2x = 9604 - 4

2x = 9600

x  = 4800

Answer:

x = 4800

Step-by-step explanation:

98^2=9604

2x=9604-2^2

2^2=4

2x=9604-4

2x=9600

2x/2 = 9600/2

x = 4800

−6x + 6y = 6 −6x + 3y = −12

Answers

Answer:

x = 0

y = 2

Step-by-step explanation:

−6x + 6y = 6 −6x + 3y = −12

-6x+6x+6y-3y = 6

3y = 6

y = 2

checking:

6-6x+3.2 = -12

6-6x+6 = -12

12-6x = 12

x = 0

checking 2:

since x = 0 we ignore it and its multipliers from the equation:

6y=6+3y = 12

6.2 = 12 (check)

6+3.2 = 12

6+6 = 12 (check)

Determine whether the function g(x)= -x +2 is increasing or decreasing.​

Answers

Answer:

its decreasing :) the person above me is correcto

What is the solution to the equation below? Enter the answer in the format p=#, keep your answer as a fraction if necessary. -2/3p + 1/6 = 7/10

Answers

Let's solve your equation step-by-step.

-2/3p+ 1/6= 7/10

Answer:

p= -4/5

If the height of a falling object after a certain amount of time is given by the equation ​, which of the following is​ true?
A.) t must be greater than or equal to 16.
B.) t must be greater than or equal to 0.
C.) h must be greater than or equal to 500.
D.) h must be less than or equal to 0.

Answers

Answer:

B

Step-by-step explanation:

Time can't go backwards

what is 1234567654323456765432345678876543234567 times 1234567654321234567 times123456788765432345678765432345 times 4 mwahahahhahahahhahah

Answers

Answer:

I have no idea

Step-by-step explanation:

sigh

12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...

first you start with

12345676543234567654323456788765 x 1234567654321234567

=

1.5241573e+49

then you multiply the rest

1.5241573e+49 x 12345678876543234567876543234

=

1.8816757e+77

now times by 4

1.8816757e+77 x 4

=

7.5267028e+77

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

bro this was so hard , , ,

I need help quick please

Answers

Answer:

C.

Step-by-step explanation:

32+8=40

8(4+1)

4+1=5

8*5=40

hope this helps :3

if it did pls mark brainliest

20 if u get it right

Answers

Step-by-step explanation:

hey there....I only knew the last question

Eldrick finished at the percentile of a men's tennis league with players in it. How many tennis players finished above him

Answers

Answer:

The number of tennis players who finished above Eldrick are 20 players.

Step-by-step explanation:

Note: The question is not complete as the data in it are omitted. The complete question is therefore provided before answering the question as follows:

Eldrick finished at the 77th percentile of a men's tennis league with 88 players in it. How many tennis players finished above him?

The explanation of the answer is now given as follows:

The 77th percentile refers to the number of men's tennis league players below (inclusive) which 77% of the players can be found.

Therefore, we have:

Remaining percentile = 100th - 77th percentile = 23rd percentile

The remaining 23rd percentile refers to the number of men's tennis league players above (exclusive) which 23% of the players can be found.

Therefore, the number of tennis players who finished above Eldrick can be calculated as follows:

Number of tennis players who finished above Eldrick = 23% * Number of players in the league = 23 * 88 = 20.24

Rounding to a whole number, we have:

Number of tennis players who finished above Eldrick = 20

Evaluate and solve for the variable

7=5b

Answers

B would equal 1 and 2/5

simplify: 10x-6(7+x)

Answers

Answer:

4 x − 4 2

Step-by-step explanation:

Answer:

4x−42

Step-by-step explanation:

10x-6(7+x)

Distribute

10x+(−6)(7)+(−6)(x)

combine like terms

10x+−42+−6x

10x-6x-42

4x+−42

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