A child’s pool is in the shape of a rectangular prism with a height of 2 ft and a base that is 4 ft wide by 5 ft long. During the course of the summer, the child’s pool needed to be filled 3 times. How many cubic feet of water were needed to fill the pool during the summer? 40 ft³ 80 ft³ 120 ft³ 160 ft³

Answers

Answer 1

Answer:

The answer is 120 cubic feet of water

Step-by-step explanation:

Step 1: Calculate the area of the pool;

(l)(w)(h)= 5(4)(2). That equals 20 times 2 which is 40

Step 2: Multiply the area by 3

This is because It was filled three times

40*3 = 120

Answer 2

Answer:

C. 120

Step-by-step explanation:

v=3(2)(4)(5)

=120


Related Questions

Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save?

Answers

Answer:

$112.50

Step-by-step explanation:

150x.75=112.5

Answer:

its 112.50

Step-by-step explanation:

i got it right

PLEASE HELP, I WILL MARK YOU BRAINIEST Identify if the relationship represented in the tables below is linear. If the table is linear, write the equation of the line.

Answers

Answer:

a) Yes. y=-4x+2. b) No.

Step-by-step explanation:

a) For every section of the graph as x goes up 1, y does down 4. It has a proportional relationship and you can use the rise and run found to do rise/run and get a slope of -4 and when x is at 0, y is at 2, giving you a y-intercept of 2.

b) There is no proportional relationship using addition and subtraction so the graphed line would not be straight.

using y2-y1 over x2-x1 the first table is 10-14 over -2--3 which would be -4 over 1

The next one would be 4 over -1  

Not 100 percent sure

1)make x the subject of h=4(x+3y)+2 2) make a the subject of a^2+b^2=c^2

Answers

Answer:

[tex]\frac{h-12-2}{4} = x[/tex]  & a² = c² - b²

Step-by-step explanation:

h = 4 (x + 3y) + 2

Expand brackets

h = 4x + 12y + 2

Subtract 12y & 2 from both sides

h - 12y - 2 = 4x

Divide both sides by 4

[tex]\frac{h-12-2}{4} = x[/tex]

a² = c² - b²

Then √ both sides to lose the ²


What is the solution to the equation x2 = 16?

Answers

Answer:

+4, -4

Step-by-step explanation:

[tex]x^{2} =16\\\sqrt{x^{2} }=\sqrt{16}\\x=4/ x=-4[/tex]

Find the area of the triangle. A. 17.7 B. 6.1 C. 8.1 D. 21.4

Answers

Answer:

17.7

Step-by-step explanation:

Area of a triangle is 1/2×L×B

since a degree is given we are to multiply it with it and we are to use SIN

so 1/2×sin65×4.5×13.1

sin65= 0.6018

so 1/2×0.6018×4.5×13.1

=35.47/2

=17.7

The area of the triangle is 17.7 square inches option (A) 17.7 is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We know,

The area of the triangle:

A = ab(sinx)/2

a = 13.1 cm, b = 4.5 cm, x = 37 degrees

A = 13.1×4.5(sin37)/2

A = 29.475sin37

A = 17.7 square inches

Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.

Learn more about the triangle here:

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one and two third minus tow and one third?

Answers

Answer:

-2/3

Step-by-step explanation:

Step 1: Write out expression

1 2/3 - 2 1/3

Step 2: Convert to improper fractions

5/3 - 7/3

Step 3: Subtract

-2/3

Answer:

[tex]\frac{-2}{3}[/tex]

Step-by-step explanation:

[tex]1 \frac{2}{3} - 2\frac{1}{3} \\\\[/tex]

[tex]\frac{5}{3} - \frac{7}{3} = \frac{-2}{3}[/tex]

Hope this helps! :)

Gabriel note sur une frise chronologique les événements familiaux importants. Il utilise des entiers positifs ou négatifs. Pour écrire une date avant sa naissance, il utilise des nombres négatifs et pour une date après sa naissance, des nombres positifs. Par exemple, la mère de Gabriel a reçu une médaille en l'an -20−20minus, 20 et la sœur de Gabriel est née en l'an +5+5plus, 5. Que représente l'année 0~?0 ?0, space, question mark Réponse : Réponse : L'année où la sœur de Gabriel est née L'année de la naissance de Gabriel L'année où la mère de Gabriel a reçu une médaille

Answers

Answer:

L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.

Option B is correct.

The number 0 represents the year when Gabriel was born.

Step-by-step explanation:

Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.

Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.

J'espère que cela t'aides!!!

English Translation

Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:

A) The year when Gabriel's sister was born

B) The year when Gabriel was born

C) The year when Gabriel's mother received a medal

Solution

It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.

Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.

Hope this Helps!!!

What is the value of the rational expression when x=-2?

-7
-9
9
7

Answers

Answer:

9

Step-by-step explanation:

take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1

evaluate √ 9.6230 * 2.340 / 5.3 10 * 3.721​

Answers

Answer:

[tex]\sqrt{15.76}[/tex]

Step-by-step explanation:

[tex]\sqrt{9.6230 \frac{2.340}{5.310}3.721 }[/tex]

Lets solve the fraction first

[tex]\frac{2.340}{5.310} =0.44[/tex]

9.6230 x 0.44 = 4.23

4.23 x 3.721 = 15.76

[tex]\sqrt{15.76}[/tex]

Find the probability of drawing a 6 and then a 6
(without replacement) from a standard deck of carNs.

Answers

A deck of cards has 52 total cards and four 6’s

Picking a 6 first would be 4/52 = 1/13

Without replacing there are 51 cards left and three 6’s

Picking a 6 would be 3/51 = 1/17

Probability of doing both is:

1/13 x 1/17 = 1/221











Which best describes the dimensions of a line?

Answers

A line is a straight one-dimensional geometric undefined figure which has no thickness. ... It has only length therefore, it is one dimensional. Hence, the best describes the dimensions of a line is "A line has one dimension because it is made up of all points that extend infinitely in either direction.

PLEASE HELP ME IM SO CONFUSED The volume of a cube is x³ cubic units. The surface area of the cube is x³ square units. What is the value of x?

Answers

Answer: The value of x is 6.

Step-by-step explanation:

TO find the volume of a cube you cube any side length. so if the side  length is 6.

6^3 = 216

To find the surface area of a cube you will square one of the side lengths and multiply it by 6.

so the side length is 6 and 6 squared is 36

36*6 = 216

The temperature of a city changed by -20°C over a four week. If the temperature changed by the same amount each week write an expression to show the average change in the temperature of the week simplify the expression and explain using words what your answer means

Answers

Answer:

A)  [tex]T=\frac{-20}{4}[/tex]

B) T = -5 °C

Step-by-step explanation:

A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:

[tex]T=\frac{-20}{4}[/tex]

B) In order to simplify the expression, simply perform the division.

[tex]T=\frac{-20}{4}\\T=-5^oC[/tex]

This means that the temperature has dropped by 5 degrees each week.

-8÷2+12x9-4x6
56 + 7x2​

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\textsf{Question \#1.}[/tex]

[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]

[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Question \#2.}[/tex]

[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is?

Answers

Answer:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Step-by-step explanation:

Given that:

Radius of the circle, r = 10 cm

Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm

To find:

The error in area of circle = ?

Solution:

First of all, let us have a look at the percentage error in measurement of radius:

[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]

Now, we know that Area of a circle is given as:

[tex]A = \pi r^2[/tex]

[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]

Area according to r = 10

[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]

Now, error in area = 4% of 314 [tex]cm^2[/tex]

[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]

So, the answer is:

12.56 [tex]cm^2[/tex] is the error in area of circle.

48:PLEASE HELP Find the x-intercept of -x+2y=22

Answers

Answer:

-22

Step-by-step explanation:

set y equal to zero and solve like a regular singular variable equation

please simplify this

Answers

Answer: 2a sqrt 15a
Explanation:
Sqrt 60a^3
= sqrt 4 x 15 x a^2 x a
= 2a sqrt 15a (because 4 and a^2 are a perfect square so we can drag it out of the square root)

Answer:2a√(15a)

Step-by-step explanation:√(60a)=√(2×2×3×5×a×a×a)=2a√(15a)

cuanto es 45 dividido en 4​

Answers

Answer:

11.25

Step-by-step explanation:

45 ÷ 4 = 11.25

Answer:11.25

Step-by-step explanation:

4 can fit into 44 11.25

A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag the possibility of not drawing a black marbles is? The probability of drawing a red marble is?

Answers

Answer:

3/10

Step-by-step explanation:

as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.

Answer:

The possibility of not drawing a black marble= 4/5

The probability of drawing a red marble = 3/10

Step-by-step explanation:

Blue marbles = 5

Black marbles = 2

Red marbles = 3

Total marbles = 5 + 2 + 3 = 10

The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5

The probability of drawing a red marble = No of red marbles/Total marbles =3/10

The mean age of 8 women in an office is 20 years old. The mean age of 12 men in an office is 32 years old. What is the mean age (nearest year) of all the people in the office? Answer it please because it would be helpfull alot

Answers

Answer:

27.2

Step-by-step explanation:

The mean age of 8 women in the office is 20 years old

The mean age of 12 men in an office is 32 years old

The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.

The mean of the women can be calculated by taking the sum of the value and dividing by the number

= 20+20+20+20+20+20+20+20/8

= 160/8

= 20

The mean of the men can be calculated by taking the sum of the values and dividing by the number

=32+32+32+32+32+32+32+32+32+32+32+32/12

= 384/12

= 32

Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office

= 384+160/20

= 544/20

= 27.2

Hence the mean age of people in the office is 27.2

8. Identify which equation is a graph of a vertical line.
0 4x = -9y
O 2y = -10
O 10x = 10
0 -7x = -1ly

Answers

Answer:

10x = 10.

Step-by-step explanation:

The equation will contain the  x variable only.

HELPPPPP NOWWWWWWWWWWWWW PLEASE

Answers

Answer:

B. SAS

Step-by-step explanation:

the line that joins the 2 triangles is considered a side, if you put an angle in between 2 sides its SAS.

The graph is of a function in the form p(t) = a • b ^t What is the function?

Answers

Answer:

p(t) = 5 × [tex]2^{t}[/tex]

Step-by-step explanation:

Use the points on the curve to evaluate a and b

Using (0, 5 ), then

5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus

a = 5

p(t) = 5[tex]b^{t}[/tex]

Using (1, 10 ), then

10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

b = 2

Thus

p(t) = 5 [tex]2^{t}[/tex]

The exponential function  is

[tex]p(t) = 5(2^{t})[/tex]

What is exponential function?

An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

Where,

b>0 and b is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“b” is a constant, which is the base of the function.

and a is also constant.

According to the given question

We have an exponential function

[tex]p(t) = ab^{t} ...(i)[/tex]

And from the given graph,  the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)

Substitute  t = 0 and p(t) = 5 in (i)

⇒[tex]5 = a[/tex] or a = 5       ( because,   [tex]b^{0} = 1[/tex] )

Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]

⇒ 10 = 5[tex]b^{1}[/tex]

b = 2

Therefore, the exponential function p(t) is given by

[tex]p(t) = 5(2^{t})[/tex]

Learn more about exponential function here:

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Triangle D E F is shown. The length of E F is 10, the length of D F is 7, and the length of D E is 12. What information relevant to calculating area do we have available for this triangle? Which method should we use to calculate the area for this triangle? What is the area of this triangle calculated to the nearest hundredth of a square unit?

Answers

Answer:

34.98 square units.

Step-by-step explanation:

It is given that DEF is a triangle, EF=10, DF=7 and DE=12.

Information of sides of triangle is relevant to calculating area.

We should use Heron's formula.

According to Heron's formula, the area of triangle is

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where,  

[tex]s=\dfrac{a+b+c}{2}[/tex]

For triangle DEF, let a=10, b=7 and c=12.

Now,

[tex]s=\dfrac{10+7+12}{2}=\dfrac{29}{2}=14.5[/tex]

Area of triangle is

[tex]A=\sqrt{14.5(14.5-10)(14.5-7)(14.5-12)}[/tex]

[tex]A=\sqrt{14.5(4.5)(7.5)(2.5)}[/tex]

[tex]A=\sqrt{1223.4375}[/tex]

[tex]A=34.977671[/tex]

[tex]A\approx 34.98[/tex]

Therefore, the area of triangle DEF is 34.98 square units.

Answer:

SSS, Heron's formula, and 34.98 square units

Step-by-step explanation:

Is it point A Point C Point H or Point L

Answers

Answer:

Step-by-step explanation:

La vaca

El pato

Answer:

L

Step-by-step explanation:

You need to find a point with a large x-coordinate and small y-coordinate or the reverse. Look at point L, (8, 1).

8 - 1 = 7

That is the largest difference between the coordinates of the points shown in the graph.

A group of students plotted the number of hours they worked weekly during the holidays and the number of hours they spent cycling. Graph shows 0 to 60 on x and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Weekly Hours Cycling. Dots are made at the ordered pairs 10, 45 and 13, 35 and 16, 42 and 24, 32 and 26, 43 and 32, 29 and 37, 23 and 39, 27 and 42, 19 and 45, 21 and 49, 19 and 50, 12. Which statement best describes the relationship between the number of hours spent working and the number of hours spent cycling? Greater hours worked, fewer hours spent cycling. Fewer hours worked, fewer hours spent cycling. Greater hours worked, greater hours spent cycling. There is no relationship between hours spent working and hours spent cycling.

Answers

Answer:

Greater hours worked, fewer hours spent cycling.

Step-by-step explanation:

Answer:

Greater hours worked, fewer hours spent cycling.

Step-by-step explanation:

:)

Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She needed to turn her transit (her survey instrument) 75° to sight on a second survey marker. She knows that from the second marker, the angle between the line of site from her own position and the first marker is 68°. How far is she from the second marker?​

Answers

Answer:

  85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

  180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

  b/sin(B) = c/sin(C)

  b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

Find the surface area of a triangular pyramid with side of 6m, height of 5.2 m, and altitude of 7.2m

Answers

Answer:

6x5.2/2=15.6 and four sides so 15.6*4=62.4 and left with 7.2*6/2=21.6 and add u get 84

Step-by-step explanation:

In a championship basketball game, Paula Zimmerman scored twice as many points as Maria Kaminsky. If the total number of points made by both women was 51, find how many points Paula scored.

Answers

Answer:

x=34

y=17

Step-by-step explanation:

Let Paula's score be= x

Let Maria's score be=y

Given:

x=2y

x+y=51

Substitution:

2y+y=51

Formula:

2y+y=51

3y=51

y=17

x=2y

x=2(17)

x=34

Proof:

x+y=51

34+17=51

51=51

Hope this helps ;) ❤❤❤

please help Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble?

Answers

Answer: 47.1%

Step-by-step explanation:

Answer:

The answer is C.17

Step-by-step explanation:

Drink your daily water!! Have a nice day everyone :)

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