Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.
Answers
Answer:
She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Step-by-step explanation:
length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex] feet
width = [tex]w=[/tex] 5 feet
depth = [tex]h=\frac{1}{2}=0.5[/tex] feet
Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.
Thus, the formula to find the volume of a rectangular prism can be computed using the formula
[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]
[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]
[tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]
[tex]=\frac{45}{2\times \:2}[/tex]
[tex]=11\frac{1}{4}[/tex] ft³
Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Related Questions
Find the digits in space given with the following numbers so that the number is divisible by 11.
a) 2__583
b) 37__45
Answers
Answer:
A
Step-by-step explanation:
I am not sure but I think A
Answer:
a) 22583
b) 37345
Step-by-step explanation:
Divisibility by 11
Rule: A number passes the test for 11 if the difference of the sums of alternating digits is divisible by 11.
For example, the number 14982 is divisible by 11. Sum the digits
1+9+2=12
4+8=12
Subtract them: 12-12=0. Since 0 is divisible by 11, then the number also is.
The number 745102 is not divisible by 11:
7+5+0=12
4+1+2=7
12-7=5. 5 is not divisible by 11.
a) 2_583. Let's call X to the unknown digit 2X583
2+5+3=10
X+8 should be 10 or 21, so 10-10=0 or 21-10=11 are divisible by 11, but X cannot be greater than 9, thus
X+8=10 => X=2. The number is 22583
b) 37X45
4+7=11
3+X+5 should be 11 or 21. Again, X must be less than 10, thus
3+X+5=11 => X=3. The number is 37345
A number p is less than 6 and greater than 2. What’s the inequality?
Answers
Answer: 2<p<6
Step-by-step explanation:
p < 6
p > 2
if we were to flip that second one, p > 2, we get 2 < p.
now we combine that with the other inequality.
2 < p < 6
the surface "s" area of a sphere of radius " r" is given by the formula of s= 4πr^2
find;
1, the surface area of a sphere whose radius is 5 cm
2,the radius of a sphere whose surface area is 23716/81
Answers
Answer:
As below
Step-by-step explanation:
1) 4*pi*[tex]5^{2}[/tex]= 314.159 [tex]cm^{2}[/tex]
2) s = 4 * pi *[tex]r^{2}[/tex]
[tex]\sqrt{s / (4*pi)}[/tex] =r
[tex]\sqrt{(23716/81)/ (4 * pi)}[/tex] = r
15.1643... = r :)
All items produced in a factory are checked for defects. Of the 300 items checked, 3% were found to be defective. How many of the items are defective?
Answers
Answer:
3%×300,=900
900÷100=9
Step-by-step explanation:
answer is 9
Answer:
291
Step-by-step explanation:
no prob
What is the area of this parallelogram?
Answers
Answer:
A= 28
Step-by-step explanation:
To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor 1 spot: and is labeled + x. 6 tiles are in the Factor 2 spot: 1 is labeled + x and 5 are labeled negative. 18 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled + x, the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization?
Answers
Answer:
2 positive unit tiles is needed
Step-by-step explanation:
Given the expression x^2 – 3x – 10, the partial factorization is as shown;
x^2 – 3x – 10
= x^2 +2x – 5x – 10
= x(x+2)-5(x+2)
= (x-5)(x+2)
Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)
From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.
Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization
Answer:
B i think
Step-by-step explanation:
Naomi measured the floor of her bedroom, which is rectangular. It is 8 feet wide and 10 feet from one corner to the opposite corner. How long is the bedroom unit
Answers
Answer:
18 feet
Step-by-step explanation:
Plsss help me and I’ll give brainliest
Answers
Answer:
Bonnie is correct
Step-by-step explanation:
Ok so bonnie said to buy five shirts so 5 x 12 = 60 but minus the $10 because the 10 dollar dicount now if you do 60 - 10 = 50 so you can buy five shirts.
Answer:
Susan is correct
Step-by-step explanation:
I need help please!!
Answers
Answer:
∠ CAD = 83°
Step-by-step explanation:
In a parallelogram. opposite angles are congruent.
∠ CAB = ∠ ACD = 57° ( Alternate angles )
The sum of the 4 interior angles = 360°
and
∠ ABC + ∠ CDA = 40° + 40° = 80°
Thus
∠ BCD + ∠ CAD = 360° - 80° = 280°, then
∠ DAB = 140° ( congruent opposite angles )
Thus
∠ CAD = 140° - ∠ CAB = 140° - 57° = 83°
Brad has recorded insect activity data for 40 days. He has recorded 1/6 of the data needed for his science fair project. How many total days does he need to record data? Write an equation and explain how you used it to find your answer
Answers
Answer:
40/6= 6.6667(20/3)
Step-by-step explanation:
I divided the number of days into 6.
Answer:
[tex]x = 240 days[/tex]
Step-by-step explanation:
If we know that Brad completes 1/6 of his project every 40 days, that means it will take him 40 x 6 days to complete this project. If where to write this down as an equation we get the following.
Let "x" be the total number of days Brad needs to finish his project, then....
[tex]\frac{1}{6} x = 40 days[/tex]
[tex](\frac{1}{6} x)(6) = (40)(6)days[/tex]
[tex]x = 240 days[/tex]
Which statement below is not true about plant cells.
1.a plant cell has a larger vacuole than a animal cell
2.a plant cell has a cell wall while an animal cell does not
3.a plant cell has chloroplasts which contain chlorophyll and carry out photosynthesis
4.the nucleus in a plant contains DNA while the nucleus in an animal cell does not.
Please and thank you
Answers
Answer:
4
Step-by-step explanation:
220-450+9
Will mark brainliest
Answers
Answer:
220_450×9 =-221Step-by-step explanation:
I hope l helped you .Please follow me. ❤❤help me please, i need a answer asap
Answers
Answer:
14/24 can be a answer?
Step-by-step explanation:
Hope this helped :)
Are the triangles congruent? and why?
Answers
Answer:
Yes the triangles are congruent
Step-by-step explanation:
since
AB=CD
AD=CB
and BD= BD (common sides)
Therefore
the two triangles are congruent
A solution to a linear inequality is shown below. The solution steps may not all be correct.
Solve: 4(x - 2) <6(x+3)
Step 1: 4x – 8 < 6x + 18
Step 2: -2x – 8< 18
Step 3: -2x < 26
Step 4: x>-13
Which steps in the solution follow correctly from the
previous step? Select all that are correct
(Select all that apply.)
Step 1
Step 2
Step 3
Step 4
Answers
Answer:
Step 3
Step-by-step explanation:
4x - 8 < 6x + 18
4x - 6x < 18 + 8
- 2x < 26
The steps in the solution that follows correctly from the previous steps are:
Step 1
Step 2
Step 3
Step 4
All the options are correct.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
4(x - 2) < 6(x+3)
Removing the parenthesis.
Step 1:
4x - 8 < 6x + 18
Subtracting -6x on both sides.
4x - 8 - 6x < 6x + 18 - 6x
Step 2:
-2x - 8 < 18
Add 8 on both sides.
-2x < 18 + 8
Step 3:
-2x < 26
Divide both sides by 2.
-x < 13
Multiply - on both sides.
The sign will change.
Step 4:
x > -13
We see that,
All the steps are given correctly.
Thus,
The steps in the solution that follows correctly from the previous steps are:
Step 1
Step 2
Step 3
Step 4
Learn more about inequalities here:
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I need help pls !!!!
Answers
Answer:
The answer is 49 pi cm2
Step-by-step explanation:
pi x 14^2
----------------
4
=153.93804
Answer:
The area of your circle is ≈ 15.6cm²
Step-by-step explanation:
A = Area
C = Circumference
Attached
Using the following formulas;
A=πr²
C=2πr
Can you guys help me with these questions?
Answers
Answer:
13. 23 boat rides; 22 are full, and the first one has 301 passengers.
12. $11,067.50
please help me answer this question!! will give brainliest and 5 star rating!!
Answers
For what duration of a second does the human eye perceive an image after looking away?
A.
one-twelfth
B.
one-fourteenth
C.
one-sixteenth
D.
one-tenth
E.
one-thirteenth
Answers
Answer:
B. One-fourteenth
Step-by-step explanation:
The afterimage may remain for 28 seconds or longer. The apparent size of the afterimage depends not only on the size of the image on your retina but also on how far away you perceive the image to be. When you look at your hand, you see the negative afterimage on your hand.
HELP ASAP I WILL GIVE 25 POINTS AND MARK BRAINLIST!!!!!!
Answers
Answer:
1. Addition property
2. Division property
3. Given
next question
1. Distributive
2. Addition
3. Division
4. Given
Step-by-step explanation:
A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how much tape would the teacher need to hang up 10 student projects?
Answers
The teacher would need 40 centimeters of tape to hang 10 student projects.
Step-by-step explanation:
Given,
Tape used to hang projects = 36 centimeters
Number of projects hanged = 9
We will find unit rate;
9 projects = 36 centimeters
1 project = \frac{36}{9}\ centimeters
9
36
centimeters
1 project = 4 centimeters
Therefore,
Tape needed to hang 10 projects = 4*10 = 40 centimeters
The teacher would need 40 centimeters of tape to hang 10 student projects.
Keywords: unit rate, multiplication
Nancy decides to roll a die three times.
What's the probability that she will roll all
even numbers?
Answers
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8
Answer:
0.125
Step-by-step explanation:
fastbridge
Find the x-intercept: 5y-2x=17
Answers
x-intercept:
(−17/2, 0)
y-intercept:
(0, 17/5)
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.
What is the total number of students in Ms. Cunningham’s class?
Answers
Answer:
30 students
Step-by-step explanation:
18 divided by 3 is 6
6 x 2 = 12
12 + 18 = 30
Answer:
30 i just took the test 28m ago and it said it was right
Step-by-step explanation:
The following section is a statement from the rental agreement Tim signed when he rented his car this past
weekend.
"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the
fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the
vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the
on-site records of the vehicle.
The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet.
A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be
completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the
Renter's total charge at a cost of $4.50 per gallon plus a S5.00 re-fueling charge
As a part of the check-out process, it is customary for a car rental agency to look over the car with the customer and
fill out the Check-Out sheet together. As Tim was walking around the car looking for damages that he didn't want to
be held responsible for, the agency representative turned on the car, took note of the fuel level, and indicated it on
the Check-Out sheet. Since Tim didn't have any questions, the clerk handed him the keys and a copy of the Check-
Out sheet and wished him well.
Mark this and return
Save and Exit
Answers
Answer:
B
Step-by-step explanation:
Bc it is
Tell whether the ratios form a proportion.
2:45, 34:310
Answers
310/45 = 6.88
No, they do not form a proportion
Hector left his house at (−6, 13) on a map of Coleville and walked to the zoo at (−6, 2). From there he walked east to his friend’s house. He walked a total distance of 25 blocks. If each unit on the map represents one block, what are the coordinates of Hector’s friend’s house?
:( this is hard....
Answers
What is the next term of the arithmetic sequence? -3,0,3,6,9,−3,0,3,6,9,minus, 3, comma, 0, comma, 3, comma, 6, comma, 9, comma
Answers
Answer:
12
Step-by-step explanation:
Given the arithmetic sequence :
-3,0,3,6,9
Using the relation :
Tn = a + (n- 1) d
d = common difference = t2 - t1 = 0 - (-3) = 3
The next term = 6th term ; n = 6
a = first term
T6 = - 3 + (6 - 1)3
T6 = - 3 + (5)3
T6 = - 3 + 15
T6 = 12
BRAINLIEST! Write an equation that is true when x is equal to -5, 4, or 0 and for no other values of x , and where one side of the equation is a 4th degree polynomial. (Look at graph for more info)
Answers
Answer:
y = x^3 + x^2 − 20x
Step-by-step explanation:
Find the factors from the roots, then multiply the factors together.
f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.
What is polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Given that
f(x) = (x + 5)(x - 4)(x)
Multiply the factors together.
f(x) = (x + 5)(x² - 4x)
we have to open the brackets above
f(x) = x³ - 4x² + 5x² - 20x
Rearrange the likewise terms and apply the arithmetic operations,
f(x) = x³ + x² − 20x
This equation is true when x is equal to -5, 4, or 0 and for no other values of x.
Learn more about the polynomial here:
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1/3 (x + 4) = 20
What is x in the equation (100 points :)))
Answers
Answer:
x = 56
Step-by-step explanation:
[tex] \frac{1}{3} (x + 4) = 20 \\ \\ x + 4 = 20 \times 3 \\ \\ x + 4 = 60 \\ \\ x = 60 - 4 \\ \\ x = 56[/tex]