The volume of a room is 640 cubic feet. If the length is 10 feet and the width is 4 feet, find the height

Answers

Answer 1

Answer:

16

Step-by-step explanation:

Divide 640 by 40.

Answer 2

[tex]640 = x \times 10 \times 4[/tex]

[tex]640 = 40x[/tex]

Divide both sides by 40

[tex] \frac{640}{40} = \frac{40x}{40} \\ [/tex]

[tex]x = 16[/tex]

Thus the height would be 16 feet .


Related Questions

An internet company reported that its earnings will be less than the 24 cents per share that was predicted

Answers

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

it began 63°F, and the temp changed by 8°F over the course of 6 hours whats the minimum and maximum???

Answers

Answer:

Minimum Possible Temperature: 55° F

Maximum Possible Temperature: 71° F

Step-by-step explanation:

Beginning temperature: 63° F

Change in temperature: 8° F

If the temperature decreased: 63° F - 8 °F = 55° F

If the temperature increased: 63° F + 8° F = 71° F

Minimum Possible Temperature: 55° F

Maximum Possible Temperature: 71° F

2x - y - 4 = 0

3x + y - 9 = 0

What is the solution set of the given system?

A. {(6, 5)}
B. {(5, 6)}
C. {(13/5, 6/5)}
D. {(6/5, 13/5)}

Answers

Step-by-step explanation:

+ Both equations

You will get : 5x=13 ; x=13/5

and put x to the first equation

2*13/5-y=4

y=6/5

(13/5;6/5)

Answer is C

There is a line whose slope is 0 and whose y-intercept is 7. What is its equation in slope-intercept form?

Answers

Step-by-step explanation:

To evaluate such, the following must be comprehended, on the behalf of linear data:

Slope: Rise/Run.

Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.

X-intercept: The peculiar point in which the observed linear data intersects the x-axis.

Recall:

Slope-Intercept Form is acknowledged and defined as the integration of the intersection point, in relation or in proportion to the distance between two points within the linear data presented on the Cartesian Plane.

Slope-Intercept Form:

Y = mx + b

Y = The line.

M = Slope.

B = y-intercept.

The following may be equated, as stated:

- Slope = 0

Y = b

- Y-intercept = 7

Y = 7

Thus, on the Cartesian Plane is identified as a horizontal line positioned within quadrants I and II, intersection (0, 7).

a. linear pair
b. vertical angles
c. complementary angles d. supplementary

Answers

Answer:

b. vertical angles

Step-by-step explanation:

<2 and <5 are vertical angles

They are formed by the same lines, are opposite each other and share a vertex.  Vertical angles are equal

Four students are playing a multi-level video game. Leo is playing the first level in the game.
Ralph is six levels above Leo.
Mike is two levels below Ralph.
Don, who is playing the last level of the game, is five levels above Mike.
How many levels does the game have?

Answers

Answer:

10 levels

Step-by-step explanation:

Ralph is on level 7

Mike level 5

Don level 10 and is playing the last one of game

The game has 10 levels

Leo is playing the first level and Ralph is sex levels above Leo. This means that Ralph is playing level:

= 1 + 6

= 7

Mike is two levels below Ralph which means that Mike is playing level:

= 7 - 2

= 5

Don is playing the last level and is five levels above Mike which means that Don is playing level:

= 5 + 5

= 10

Don is playing level 10 which is the last level so the game has 10 levels.

Find out more at https://brainly.com/question/23623247.

Please help me with this on the image

Answers

Step-by-step explanation:

The total of the number of computers he sold in 2015 is 67.

The total of the number of computers he sold in 2016 is 61.

The total of the number of computers he sold in 2017 is 71.

He sold 35 computers in Quarter 1, 24 in Quarter 2, 61 in Quarter 3, and 79 in Quarter 4.

He sold the most computers in 2017 and the least in Quarter 2.

Therefore, to find the total number of computers he sold all time, we add 67, 61, and 71 together to get 199.

Hope this helped!

Answer with Step-by-step explanation:

From the given table

(a)

In quarter 1

Computer sold in 2015=12

Computer sold in 2016=15

Computer sold in 2017=8

Total computer sold in quarter 1=12+15+8=35

In quarter 2

Computer sold in 2015=9

Computer sold in 2016=10

Computer sold in 2017=5

Total computer sold in quarter 2=9+10+5=24

In quarter 3

Computer sold in 2015=21

Computer sold in 2016=17

Computer sold in 2017=23

Total computer sold in quarter 3=21+17+23=61

In quarter 4

Computer sold in 2015=25

Computer sold in 2016=19

Computer sold in 2017=35

Total computer sold in quarter 4=25+19+35=79

In 2015

Total number of computer sold=12+9+21+25=67

In 2016

Total number of computer sold=15+10+17+19=61

In 2017

Total number of computer sold=8+5+23+35=71

(b)He sold the most computers in 2017

(c) He sold the least computers in quarter 2.

SOMEONE PLEASE HELP ME ITS URGENT (PICTURE)

Answers

Answer:

Question #1

x and its opposing side are equal in length. One of the sides have no fence.

Set up an equation to find x:

[tex]x+x+10=26\\2x=26-10\\2x=16\\x=8[/tex]

The length of the side marked x is 8.0 m.

Question #2

New length = 10 + 1 = 11 cmNew width = xNew perimeter = old perimeter = 34 cm

Set up an equation to find x

[tex]11+11+x+x=34\\2x=34-22\\2x=12\\x=6[/tex]

The new width is 6 cm.

Help fast!
Describe at least two ways to find or
estimate the year the population of the town
will be 40 thousand. (You don't have to
actually find the value.)

Answers

Plug in 40,000 for p(n), then use algebra. First step divide by 18. Then you have 2222.222222=e^0.035n.
Take the natural logarithm (Ln) on your calculator of both sides:
Ln(2222.2222)=Ln(e) 0.035n
Ln2222.2222 just gives you a number and Ln(e) cancel each other so you have:
Ln(2222.222222)= 0.035n, divide both sides by 0.035 and you will find “n”(the number of years after 2000).

The second method is trial and error, keep plugging in numbers for n starting at “1” and see what number gets you closest to 40,000 when you calculate the equation

Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation

Answers

Answer:

simultaneous equations

Step-by-step explanation:

phils age =7x

Peter age=x

scenario 2

phils age = 4(7x)

Peter age= 2x-2

[tex]7x + x = 4(7x) + 2x - 2[/tex]

Josh has a aquarium 30 inch deep.it takes him 5 min to fill the bucket with 3 inch of water.he estimates that it will take him under an hour to fill the entire bucket with water.is he correct.explain why or why not

Answers

Answer:

No

Step-by-step explanation:

From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.

If 5 is added to the difference of 3 times of 4 and 7 find the number

Answers

Answer:

14

Step-by-step explanation:

3*4=12

3*7=21

Diff= 21-12

Diff= 9

Plus 5=9+5

The number is 14

6. 792 = *
A. (7 x 10) + (3 x 4) + (2 x 1)
B. (7 x 11) + (3 x 3) + (2 x 1)
C. (7 x 11) + (3 x 4) + (2 x 1)
D. (7 x 10) + (3 x 3) + (2 x 1)

Answers

Answer:

D. (7×10) + (3×3) + (2×1)

Step-by-step explanation:

(7×10)=70 + (3×3)=9 + (2×1)=2

=70+9+2

=792

Carlos is 3 more than twice Ella’s age. If the sum of their ages is 54 years, determine their ages.

Answers

Answer:

Carlos is 37 years old and Ella is 17.

Step-by-step explanation:

Let,

Carlos = c

Ella = e

If Carlos is 3 more than twice Ella's age, we get the equation:

2e + 3 = c (1)

Since the sum of their ages is 54, we get the equation:

c + e = 54 (2)

Now we have a system of equations.

Since equation number 1 already designated the value of c in terms of e, we can substitute it into the second equation.

(2e+3) + e = 54

Lets combine like terms and solve!

2e + e + 3 = 54

3e = 51

e = 17

Let's substitute e back into one of the equations to figure out the value of c. I'm going to use equation 1.

2e + 3 = c

2(17) + 3 = c

34 + 3 = c

37 = c

Let's substitute the values of c and e into the second equations to check our work! (We know c and e already fulfill the first equation as we substituted e into it to get c)

c + e = 54

37 + 17 = 54

54 = 54

Now that we've checked our work, we know our answer is correct! Carlos is 37 years old and Ella is 17.

For the function f(x)=3X+5/x+5 find f^1(x)

Answers

Answer:

When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.

The inverse is 5 / x - 8

Whats the answer hurry !!

Answers

Answer:

[tex]=\frac{81m^2n^5}{8}[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]

Simplify, distribute the exponent outside of the parenthesis by the terms inside of it. Remember, when a value that already has an exponent is raised to another exponent, the equivalent of these two values is multiplying the exponents together. Use this property here:

[tex]=\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]

[tex]=\frac{3^4m^(^-^1^)^(^4^)n^(^2^)^(^4^)}{2^3m^(^-^2^)^(^3^)n^3}[/tex]

[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]

Now simplify this fraction. Keep in mind that a fraction is another way of representing the operation of division. When one wants to divide terms raised to an exponent, one must make sure that these terms have a like base. Then one will subtract the exponents from each other. Do this step with terms that have a variable base:

[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]

[tex]=\frac{81m^(^-^4^)^-^(^-^6^)n^(^8^)^-^(^3^)}{8}[/tex]

[tex]=\frac{81m^-^4^+^6n^8^-^3}{8}[/tex]

[tex]=\frac{81m^2n^5}{8}[/tex]

which equation represent this relation

Answers

Answer:

hello,

answer A c=n+2

Step-by-step explanation:

if n=0 then c=2

if n=2 then c=4

slope=m=(4-2)/(2-0) =2/2=1

c-2=1*(n-0)

c=n+2

please help I will give brainly, please and thank u :D

Answers

1 . the answer is wrong . correct answer is 3,531.33

2. I would give you suggestions that you need to work on your calculations skills

simplify (4+√3)(4-√3)

Answers

Answer:

13

Step-by-step explanation:

(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13

Answer:

Step-by-step explanation:

(a + b)(a -b) =a² - b²

a = 4 and  b = √3

(4 + √3)(4 - √3)= 4² - (√3)²

                        = 16 - √3*√3

                        = 16 - 3

                        =  13

Find the 27th term of the arithmetic sequence 15, 17.25, 19.5, 21.75,...

Answers

Answer:

The 27th term is 73.5.

Step-by-step explanation:

We want to find the 27th term of the arithmetic sequence:

15, 17.25, 19.5, 21.75, ...

We can write a direct formula. Recall that the direct formula for an arithmetic sequence is given by:

[tex]x_n=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

From the sequence, we can see that our initial term a is 15.

To find the common difference, subtract a term and its previous term. Thus, the common difference will be:

[tex]d=17.25 - 15 = 2.25[/tex]

Thus, our direct formula is:

[tex]x_n=15+2.25(n-1)[/tex]

To find the 27th term, let n = 27. Substitute and evaluate:

[tex]\displaystyle \begin{aligned} x_{27} &=15+2.25((27)-1) \\ &= 15+2.25(26) \\&= 15+58.5 \\ &= 73.5\end{aligned}[/tex]

Thus, the 27th term is 73.5.

f(x) = – 2x
g(x) = 8x2- 5x+7
Find (f.g)(x).

Answers

f(x) = -2x

-2x = 0

x = 0/-2

x = 0

Now putting 0 as x in g(x)

g(x) = 8x^2 - 5x + 7

g(0) = 8(0)^2-5(0)+7

= 0 - 0 + 7

= 7

Answered by Gauthmath must click thanks and mark brainliest

Determine the perimeter of the following figure
pls help! ill mark brainliest

Answers

Answer:

Step-by-step explanation:

Use Pythagorus to find the length of the unmarked length

c^2 = a^2 + b^2

a = 5

b = 17 -10 = 7

c = ?

c^2 = 5^2 + 7^2

c^2 = 25 + 49

c = sqrt(74)

c =8.602

P = 5 + 10 + 17 + 8.602

P = 40.602

(|5 - 3x | - 1) - ( 1 - 3x ) = 0

Answers

(| 5 - 3x | - 1) - (1 - 3x) = 0

|5 - 3x| - 1 - 1 + 3x = 0

|5 - 3x| - 2 + 3x = 0

1) (5 - 3x) - 2 + 3x = 0, if 5 - 3x >= 0

3 = 0. has no solutions

2) -(5 - 3x) - 2 + 3x = 0, if 5 - 3x < 0

-5 + 3x - 2 + 3x = 0

6x = 7

x = 7/6

5 - 3x < 0

-3x < -5

x > 5/3.

has no solutions

Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?

Answers

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let x represent 20¢ coins and y represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

[tex]x=y+4[/tex]

And the total value of all her coins is $3.80. Thus:

[tex]0.2x+0.05y=3.8[/tex]

This yields a system of equations:

[tex]\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}[/tex]

We can solve by substitution. Substitute the first equation into the first:

[tex]\displaystyle 0.2(y+4)+0.05y=3.8[/tex]

Distribute:

[tex]\displaystyle 0.2y+0.8+0.05y=3.8[/tex]

Combine like terms:

[tex]\displaystyle 0.25y = 3[/tex]

And divide both sides by 0.25. Hence:

[tex]y=12[/tex]

Thus, Amy has 12 5¢ coins.

Using the first equation:

[tex]x=y+4[/tex]

Substitute:

[tex]x=(12)+4=16[/tex]

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

factorise the given number
12​

Answers

hope it helps you............

The factors of 12 are 1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or, alternatively, each of those is a counting number that can be multiplied by another counting number to make 12).

I WILL BE CHOOSING THE BRAINLIEST! PLEASE HELP ME!
What are different types of tools to find sides or angles in triangles. List and explain the conditions in which they are best applied.
(For example, the Pythagorean Theorem is particularly useful when there is a right triangle and two known sides and the third side is unknown.)

Answers

Answer:

If the triangle is similar by any axiom then the ratio of their sides will be equal then you can easily find the side of the triangle

OR

You can also find it by congurency.

Hope this helps

Find the value of x. I need help ASAP

Answers

Answer:

x is 30 degrees

Step-by-step explanation:

What is the solution set to this equation?
log_4(x + 3) + log_4x = 1

Answers

Answer:

x=1

Step-by-step explanation:

log_4(x + 3) + log_4x = 1

We know that loga(b) + loga(c) = loga(bc)

log_4(x + 3)x = 1

Raise each side to the base of 4

4^log_4(x + 3)x = 4^1

(x+3)x = 4

x^2 +3x = 4

Subtract 4 from each side

x^2 +3x -4 = 0

Factor

(x+4) (x-1) =0

Using the zero product property

x= -4  x=1

But x cannot be negative since logs cannot be negative

x=1

Answer:

A..  x = 1.

Step-by-step explanation:

log_4(x + 3) + log_4x = 1

log_4 x(x + 3) = log_4 4

Removing the logs:

x(x + 3) = 4

x^2 + 3x - 4 = 0

(x + 4)(x - 1) = 0

x = 1, -4.

We can ignore the -4 as there is no log of a negative.

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

Answers

Answer:

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Step-by-step explanation:

La probabilidad condicional :

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

En el cual:

P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.  

[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.  

P(A) es la probabilidad de que ocurra A.

En esta pregunta :

Evento A: Estudiante A aprueba.

Evento B: Estudiante B aprueba.

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6

Entonces [tex]P(A) = 0.6[/tex]

La probabilidad de que ambos estudiantes aprueben es 0.3

Entonces [tex]P(A \cap B) = 0.3[/tex]

¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Help with this plz?
Topic (Similarity)​

Answers

Answer:

MATH

Step-by-step explanation:

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