A rectangular tank measures 20cm x 30cm x 40cm. You want to fill it by using a cubic container that is 20cm on each side to carry water from a faucet to the tank. How many trips will it take?

Answers

Answer 1

Answer:

4 trips

Step-by-step explanation:

Given that:

Dimension of rectangular tank :

(20cm * 30cm * 40cm)

Dimension of cubic container used to fill tank = 20cm per side

Volume of tank = (20 * 30 * 40) = 24400 cm³

Volume of cubic container = (20 * 20 * 20) = 8000 cm³

Number of trips it would take :

Volume of tank / volume of container

24400 cm³ / 8000 cm³

= 3.05

Hence, it will take 4 trips


Related Questions

Please help me with this question!!

Answers

Answer:

[tex]x=16 * cos(46)[/tex]

Step-by-step explanation:

Well, first let's look at our trig identities. We can set up a cosine function using the given angle:

[tex]cos (46^{o} ) = \frac{x}{16}[/tex] (adjacent/hypotenuse)

Then, multiplying both sides by 16 gives us:

[tex]x=16 * cos(46)[/tex]

Hope this helps!

Problem: -8 - x = x - 4x

Please solve for X

Answers

Answer:

x=-2

Step-by-step explanation:

-8-4=

-4

there the x value since there two x so u divide 2x=-4

×=-2

What is the simplified form of this expression?
(8x - 7) + (-2x - 9) - (4x - 3)
OA.
2x-13
OB.
2x - 19
OC.
2x-5
OD.
2x + 1

Answers

Answer:

The answer is A

Step-by-step explanation:

here you go mate'

Step 1

(8x - 7) + (-2x - 9) - (4x - 3)  equation

step 2

(8x - 7) + (-2x - 9) - (4x - 3)  expand by distributing

8x+-7+-2x+-9+-4x+3

step 3

8x+-7+-2x+-9+-4x+3  combine terms

answer

2x-13

can i get brainliest if you dont mind?

Help guys! What is segment AC?

Answers

Answer:

D. Angle bisector

Step-by-step explanation:

In the diagram shown, segment AC divides the major angle into two equal parts. The two angles divided are congruent to each other.

An angle bisector divides an angle by bisecting the angle.

Therefore, segment AC is referred to as an angle bisector.

(x+4)(x+4)/2 pls help

Answers

Answer:

x^2/2+4x+8 hope this helps

It’s X^2+8x+8 when evaluating

Find the mean and median of the data set.
There are 50, 52, 51, 48, 53, and 52 students in a school's 6 Algebra 1 classes.

The mean is-
The median is-

Answers

Answer:

Mean: 50.8 or 51 (rounded)

Median: 51.5 or 52 (rounded)

Step-by-step explanation:

To find the mean I added all the numbers then divides my sum but the number of numbers.

To find the median I listed the numbers from least to greatest.There are two middle numbers so I added the two numbers and divided the same by 2.

help pls i would be thankfull

Answers

The answer to this question is 7

Step-by-step explanation:

w= 7

.......................

When solving an equation, henry...

Answers

Answer:

Infinite Solution

Step-by-step explanation:

We know that there are no variables on either die of the equation so the answer would be infinite because when you put a number for the variable it will always be true.

Hope this helps :)

35-284+4578567-32eye

Answers

Answer:

4578286

Step-by-step explanation:

35-284+4578567-32 = 4578286

hope this helps...

4578286 I thinkkkkkkkk

Help ASAPPP

the graph shows the depth,y, in meters, if a shark from the surface of an ocean for a certain amount of time, x, in minutes:

part a: describe how you can use similar triangles to explain why the slope of the graph between points a and b is the same as the slope of the graph between points a and c?

part b: what are the initial value and slope of the graph, and what do they represent?

Answers

Answer: Look at the step-by-step

Step-by-step explanation:

Part A: We can use two right triangles that represent rise over run to explain the slope of points A and B which has the same slope of points A and C. Since there will be two right triangles, they are considered similar triangles.

AB: 154 - 110= 44

44/2= 22

AC: 154 - 66 = 88

88/2=44

This means that the slope of the two sets of points is 44, and it represents the rate of change of the shark travelling away from the ocean’s surface every minute.

Part B: The initial value is 66 (m), and it represents the initial position of the shark at 0 minutes.

The equation of line is y =  where y is the distance from ocean surface and x is the time taken in minutes , where the slope is m = 44 m/min

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the number of minutes be x

Let the distance from ocean surface be y

Let the first point be P ( 0 , 66 )

where P is the initial point of the graph

Let the second point be Q ( 2 , 110 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 110 - 66 ) / ( 2 - 1 )

Slope m = 44

And , the equation of line is

y - 66 = 44 ( x - 0 )

Adding 66 on both sides , we get

y = 44x + 66

Hence , the equation of line is y = 44x + 66

To learn more about equation of line click :

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Which of the tables represents a function?

Table A:
Input Output
4 3
3 2
3 1

Table B:
Input Output
1 3
3 5
5 7

Table C:
Input Output
0 0
1 4
1 5

Table D:
Input Output
4 1
4 2
4 3


a) Table A
b) Table B
c) Table C
d) Table D

Answers

Answer:

table B

every other input and output has the same number in a table

Answer:

b

Step-by-step explanation:

did it on flvs

If it helps I’m working on surds,when the square root of a number isn’t a whole number

Answers

Answer

A. 2√3

B. 3√3

C. 5√2

Explanation

A. √12 = √4×3 ________ so we know that 4×3 gives us 12

= √4 ×√3_______since it is a multipling we can separate the square

= 2√3__________ we put 4 out of the square but not 3 because it is not

a perfect square

B. √27 = √9×3

= √9 × √3

= 3√3________simplified form

C. √50 = √25×2

= √25 × √2

= 5√2 ________ simplified form

I need help with Geometry

Answers

Answer:

We conclude that segment QR is the shortest.

Hence, option B is true.

Step-by-step explanation:

First, we need to determine the missing angle m∠R

Given the triangle Δ∠PQR

m∠P = 48°

m∠Q = 83°

m∠R = ?

We know the sum of angles of a triangle is 180°.

m∠P+m∠Q+m∠R = 180°

48°+83°+m∠R=180°

m∠R = 180° - 48° - 83°

m∠R = 49°

Thus, the value of m∠R = 49°

We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Here,

m∠P = 48° is the shortest angle.

As the side QR segment is opposite the smallest angle i.e. m∠P = 48°

Therefore, we conclude that segment QR is the shortest.

Hence, option B is true.

How do you figure these out?? I need major help!!

Answers

Answer:

The value of x = 5

Step-by-step explanation:

It is clear that a traversal line is passing through two parallel lines.

It is also clear that:

The angle (35+2x)° and 60° are on the outside of the parallel lines and on the opposite side of the traversal. Therefore, (35+2x)° and 60° are Alternate Exterior Angles.

Please remember that Alternate Exterior Angles are congruent, so

35 + 5x = 60°

subtract 35 from both sides

35 + 5x - 35 = 60° - 35

5x = 25

divide both sides by 5

5x/5 = 25/5

x = 5

Therefore, the value of x = 5

Write an equation of a line, in slope-intercept form, that is perpendicular to the line y=2x+5 and passes through the point (8,-3)

Answers

Answer:

22

Step-by-step explanation:

A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with 3/4 pound?

Answers

Answer:

1

Step-by-step explanation:

WHOEVER ANSWERS FIRST GETS BRAINLIEST

Answers

Answer: i think c

Step-by-step explanation:

i thought this was free points lol

Answer:

C

Step-by-step explanation:

Cause percent by is by the hundredths and that you multiply by the variable

The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the
equation to find the value of x.

The equation is
Enter your answer in the answer box and then click Check Answer

Answers

Answer:

i. [tex]x^{2}[/tex] + 26x + 144 - 299 = 0

ii. x = 5

Step-by-step explanation:

The area of the figure = 299 cm²

The figure has a shape of a rectangle, so that;

Area of rectangle = length x width

length of the figure = 18 + x

width of the figure = 8 + x

Area of the figure = (18 + x) x (8 + x)

299 = (18 + x) x (8 + x)

299 = [tex]x^{2}[/tex] + 26x + 144

[tex]x^{2}[/tex] + 26x + 144 - 299 = 0

[tex]x^{2}[/tex] + 26x - 155 = 0

applying the trigonometric formula;

x = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a

= (-26 ± [tex]\sqrt{(26)^{2} - 4(1*-155)}[/tex]) ÷ 2

= (-26 ± [tex]\sqrt{676 +620}[/tex]) ÷ 2

= (-26 ± [tex]\sqrt{1296}[/tex]) ÷ 2

= (-26 ± 36) ÷ 2

x = (-26 + 36) ÷ 2  OR x = (-26 -36) ÷ 2

  = 10 ÷ 2 OR -62 ÷ 2

  = 5 OR -31

Thus, x = 5

At 4:00 AM, the temperature is – 12 °F. If the temperature drops 3 °F per hour, what will the temperature be at 6:00 AM?

Answers

Answer: -18 degrees

Step-by-step explanation:

-12 -3 = -15 -3 = -18

(it is only a 2 hour time period and it drops 3 °F per hour)

                               ~Notify me if you have questions~

                              Have a nice day and I hope it helps!

                                                         ^ω^

-- XxFTSxX

I don’t understand how to solve this graph.
(Y=MX+B)

Answers

Answer:

The equation of line shown in the graph is [tex]\mathbf{y=-\frac{1}{2}x -1}[/tex]

Step-by-step explanation:

We need to find equation of the line shown in graph.

The equation of line will be in slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding y-intercept

Looking at the graph, we can find y-intercept when x =0, the value of y is known as y-intercept.

So, when x =0, y=-1

So, y-intercept is -1

Finding Slope

Now, for finding slope, consider 2 points on graph

(0,-1) and (-2,0)

Slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=0, y_1=-1, x_2=-2, y_2=0[/tex]

Putting values and finding slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-1)}{-2-0} \\Slope=\frac{0+1}{-2-0} \\Slope=\frac{1}{-2} \\Slope=-\frac{1}{2}[/tex]

So, slope is [tex]m=-\frac{1}{2}[/tex]

Equation of line

Now, equation of line having slope [tex]m=-\frac{1}{2}[/tex] and y-intercept b = -1 is

[tex]y=mx+b\\y=-\frac{1}{2}x -1[/tex]

So, equation of line shown in the graph is [tex]\mathbf{y=-\frac{1}{2}x -1}[/tex]

Jim went to the store and bought 2 pencils, 4 erasers, a binder, and 3 packs of paper for school. He paid $1.50 for each pencil, $0.75 for each erasers, $5 for each binder, and $4 for every pack of paper. If he paid with a $50 bill, how much change did he get?

Answers

Answer:

27 dollars

Step-by-step explanation:

11 = 7 + 4x is what is what is what

Answers

Answer:

x = 1

Step-by-step explanation:

11 = 7 + 4x

Subtract 7 from both sides

11-7 = 7-7 + 4x

4 = 4x

Divide 4 from both sides

4/4 = 4x/4

1 = x

x = 1

Check:

11 = 7 +4(1)

11 = 7+4

11 = 11

Hope this helps. Have a nice day.

4x+3=-5x+21 please help

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

Which of the following represents the y-intercept of the function y = log (x + 100) - 4 ? *
a. -1
b. -2
c. -3
d. -4

Answers

Answer:

b

Step-by-step explanation:

To find the y- intercept, let x = 0 in the equation and solve for y, that is

y = [tex]log_{10}[/tex](0 + 100) - 4

  = [tex]log_{10}[/tex] 100 - 4

  = 2 - 4

 = - 2 ← y- intercept → b

The y-intercept of the function y = log (x + 100) - 4 is -2

What is y-intercept?

The y-intercept is the point where the line intersects the y-axis.

Given a function, y = log (x + 100) - 4

Solving for the y- intercept,

Let x = 0 in the equation and solve for y, that is

y = log(0 + 100) - 4

=  log100 - 4

= 2 - 4

= -2

Hence, The y-intercept of the function y = log (x + 100) - 4 is -2

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Tara is graphing the equation 4x + 2y = 10. Which of these shows the correct equation in slope-intercept form, slope, and y-intercept?

Question 2 options:

y = –2x + 5

slope = –2

y-intercept = 5


y = 2x + 4

slope = 2

y-intercept = 4


y = –4x + 5

slope = –4

y-intercept = 5


y = 4x + 5

slope = 4

y-intercept = 5

Answers

Answer: y = -2x + 5

Step-by-step explanation:

y = -2x + 5

slope = -2

Slope intercept form of equation of line is given by y = mx + c

where m is the slope of line

c is the y intercept i.e point where given line intersect y axis.

________________________________________________

given equation 4x + 2y = 10

we have to re-write this equation in form y = mx + c

4x + 2y = 10

subtraction 4x from LHS and RHS

4x + 2y - 4x= 10 - 4x

2y = 10- 4x

we have to eliminate 2 from y for that we

divide  LHS and RHS by 2 we

2y /2 = 10/2- 4x/2

y = 5 - 2x

rearranging it in y = mx+c form

y = -2x + 5

thus, m = -2 , c = 5

Answer:

y=-2x+5, slope= -2, y-intercept= 5 (so, first option)

Step-by-step explanation:

y=mx+b. m is the slope, and b is the y-intercept. to get the equation to the slope intercept form, you get y by itself- subtract 4x from both sides and then divide by 2 on both sides.

Given that x is a nonnegative number, a student conjectured that x+3
Which value of x is a counterexample to the student's conjecture?


X= -1/3

X= -3

X= 2

X= 3

Answers

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)

Required

Which value of x prove the conjecture otherwise

To do this , we simply substitute the values of x in the options

[tex]1.\ x = -\frac{1}{3}[/tex]

This is negative;

So, there is no need to check

[tex]2.\ x = -3[/tex]

This is also negative;

So, there is no need to check

[tex]3.\ x = 2[/tex]

[tex]x + 3 < x^2[/tex]

[tex]2 + 3 < 2^2[/tex]

[tex]5 < 4[/tex]

This value of x is false because 5 is not less than 4

[tex]4.\ x = 3[/tex]

[tex]x + 3 < x^2[/tex]

[tex]3 + 3 < 3^2[/tex]

[tex]6 < 9[/tex]

Let f(x)=−|x−3|+3 and g(x)=1/2x−3. Graph the functions in the same coordinate plane.

What are the solutions to f(x)=g(x)?

Enter your answers in the boxes from smallest to largest.

x =
and x =

Answers

Answer:

x is 6 where the two meet on the graph, but i'm not sure what its asking so please let me know

Step-by-step explanation:

Answer:

the answers are -6 and 6 i know this may not help you considing im super late but it can help people who visit this question :3

Step-by-step explanation:

Which of the following statements would guarantee that lines a and b are
parallel?
t
at
3/4
be
5/ 6
8
m2 4 = 110° and mZ6 = 110°
m2 1 = 110° and mZ5 = 110°
m2 5 = 115º and m6 = 65°
O m2 1 = 105° and m2 4 = 105
0 m2 3 = 115º and m4 = 65

Answers

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

Angles 1 and 5 are corresponding. When they are congruent, the lines are parallel. The correct answer choice is marked.

Simplify the expression:

–5(6 − 2y) =

Answers

-30+10y
hope this helps!

Answer:

3

Step-by-step explanation:

-5(6-2y)

-30+10y=0

10y=30

y=3

Given: 3x - 2 ≤ 2x + 1.

Choose the solution set.
{x | x R, x ≤ 1}
{x | x R, x ≤ 3}
{x | x R, x ≤ -3}
{x | x R, x ≤ -1}

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ second\ is \ correct . }}} [/tex]

Step-by-step explanation:

A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-

[tex]\bf\implies 3x -2 \leq 2x + 1 \\\\\bf\implies 3x -2x \leq 2 + 1 \\\\\bf\implies x \leq 2 + 1 \\\\\bf\implies\boxed{\red{\bf x \leq 3 }}[/tex]

This means that the value of x can be less than or equal to 3 . That is it means x ≤ 3. So , the required solution set will be ,

[tex]\boxed{\purple{\bf \{x | x \in \mathbb{R} , x \leq 3 \}}}[/tex]

Hence the second option is correct.

Answer:

second option is correct:)

Step-by-step explanation:

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