An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house.
(there's 2 answers btw, dont just pick 1, thats a common mistake in these)
A. (1×3×4)+(2×5×3)
B. (1×3)+(4×2)+(5×3)
C. (1×3×2)+(6×3×2)
D. 3×(1+4)+2×(5+3)
E. (3×4)+1×(2×5)+3
Answers
Answer:
A and C
Step-by-step explanation:
To find the volume of the hamster house, you have to separate the full shape into two shapes that you can solve the volume of. Once you do this, find the volume of each one and add them together to get the volume, 42. Now, use a calculator to evaluate these equations and see if the answer matches the volume that you found. Hope this helped!
Related Questions
Which equation best represents this statement?
Negative five-sixths times the sum of a number and six and two tenths is seven and five-tenths.
Negative StartFraction 5 over 6 EndFraction x + 6.2 = 7.5
Negative StartFraction 5 over 6 EndFraction + 6.2 x = 7 and StartFraction 5 over 10 EndFraction
Negative StartFraction 5 over 6 EndFraction (x + 6.2) = 7.5
(Negative StartFraction 5 over 6 EndFraction + x) (6.2) = 7 and StartFraction 5 over 10 EndFraction
Answers
Answer:
-5/6(x+6.2)= 7.5
or
3. Negative StartFraction 5 over 6 EndFraction (x + 6.2) = 7.5
Answer:
5/6(x+6.2)= 7.5
3. Negative StartFraction 5 over 6 EndFraction (x + 6.2) = 7.5
Step-by-step explanation:
Solve for x using cross multiplication.
Answers
Answer: x = 2
Step-by-step explanation:
[tex]$$Solve for $x$ :$$\frac{x+4}{3}=\frac{x+6}{4}$$Multiply both sides by 12 :$$\frac{12(x+4)}{3}=\frac{12(x+6)}{4}$$$$\begin{aligned}&\frac{12}{3}=\frac{3 \times 4}{3}=4 \\&4(x+4)=\frac{12(x+6)}{4}\end{aligned}$$$$\begin{aligned}&\frac{12}{4}=\frac{4 \times 3}{4}=3 \\&4(x+4)=3(x+6)\end{aligned}[/tex]
[tex]$$Expand out terms of the left hand side:$$(4 x+16)=3(x+6)$$Expand out terms of the right hand side:$$4 x+16=(3 x+18)$$Subtract $3 x$ from both sides:$$(4 x-3 x)+16=(3 x-3 x)+18$$$$\begin{aligned}&4 x-3 x=x: \\&x+16=(3 x-3 x)+18\end{aligned}$$[/tex]
[tex]\begin{aligned}&3 x-3 x=0: \\&x+16=18\end{aligned}$ \\\\\ Subtract 16 from both sides:$$\begin{aligned}&x+(16-16)=18-16 \\&16-16=0: \\&x=18-16\end{aligned}$$$$18-16=2$$Answer:$$x=2$$[/tex]
4(x+4) = 3(x+6)
4x + 16 = 3x + 18
4x - 3x = 18 - 16
x = 2
hope it helps...!!!
How much salsa is missing from the jar? Round to the nearest whole cubic centimeter.
A jar of salsa is shown having a height of 10 centimeters. The radius of its lid is marked as 5 centimeters. The amount of salsa in the jar has a height of 4 centimeters from the bottom.
Answers
Answer:
200
Step-by-step explanation:
10x4x5 is $200 so that is the cubic centimeter
Answer:
471 cubic centimeters
Step-by-step explanation:
The empty space in the far is a cylinder with a height of 10 -4+6 centimeters and a radius of 5 centimeters. So, about 471 cubic centimeters of salsa are missing from the jar. 41.
Ron drew a quadrilateral with 4 right angles and 4 sides with the same length. What figure best describes his quadrilateral
Answers
Answer:
Square
Step-by-step explanation:
A square has four right angles and four equal sides.
Answer:
square
Step-by-step explanation:
4 sides with the same length is a square because if not the answer would be incorrect
2nd the shapes only with 4 right angles is a square or a rectangle anyways
sorry if this user name is weird my brother made this account
Use each table to find the requested ratio.
Answers
Answer:
Step-by-step explanation:
1. 1:4
2. 1:2
3. 5:1
please tell me what this is,....
Answers
Answer:
D
Step-by-step explanation:
the ratio of rows to flowers is 1:4, so for every 1 row, there are 4 flowers. so the equation would be f = 4r. do you understand how I got to that?
Simplify the expression. Write your answer using decimals.
Answers
Answer:
−2.5d−0.7
Step-by-step explanation:
1 Expand by distributing terms.
-(2.5d+5)+4.3
2 Remove parentheses.
-2.5d-5+4.3
3 Collect like terms.
-2.5d+(-5+4.3)
4 Simplify.
-2.5d-0.7
question is below in picture.
Answers
Answer:
295
Step-by-step explanation:
y=157 because the other angle is 23
x = 138 because the other angle is 42
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 units wide.
Answers
Answer:
48
Step-by-step explanation:
You add 4 to the 5 and the 3 (because there are 2 sides equal to 2). You multiply that to get the area of the entire figure(63), then subtract the area of the small rectangle (15) and get 48
Hope this helped!
PLEASE HELP IM TIMED I'LL GIVE 45 POINTS!!!!!
Jayce volunteers for the local library. The librarian wants to find out whether the patrons prefer paperback books or e-books. Jayce cannot decide which method to use for polling the patrons.
Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day.
Option 2: Poll every third patron who enters the library on Technology Appreciation Day.
Which statement about the methods of collecting data is true?
Jayce should not use either option. Option 1 is likely to be biased so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.
Jayce should use Option 2. Option 1 is biased so that paperbacks are overrepresented, but Option 2 will give balanced results that reflect the general population.
Jayce should use Option 1. Option 2 is biased so that e-books are overrepresented, but Option 1 will give balanced results that reflect the general population.
Jayce should use whichever one is most convenient for those taking the polls because both options will give balanced results that reflect the general population.
Answers
Answer:
Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.
Step-by-step explanation:
Given:
Jayce volunteers for the local library. The librarian wants to find out whether the patrons prefer paperback books or e-books. Jayce cannot decide which method to use for polling the patrons.
Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day.
Option 2: Poll every third patron who enters the library on Technology Appreciation Day.
Since, Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day. It biased because since it paperback lovers day thus, it would be likely that most people like the paperback which make it biased.
Since, Option 2: Poll every third patron who enters the library on Technology Appreciation Day. It biased because since it technology appreciation day thus, it would be likely that most people don't care about these stuff since people coming in are for technology appreciation.
Therefore, the answer is:
Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.
Kavinsky
How many solutions does the system have?
y = 5x+1
y = -2x-8
Choose 1 answer:
A. Exactly one solution
B. No solutions
C. Infinitely many solutions
Answers
Answer:
x= -9/7
y= -38/7
so it has A. exactly one solution
Step-by-step explanation:
Substitute into one of the equations: 5x+1= -2x-8
Rearrange unknown terms to the left side of the equation: 5x+2x=-8-1
Combine like terms:7x=-8-1
Calculate the sum or difference: 8x=-9
Divide both sides of the equation by the coefficient of variable: x=-9/7
Substitute into one of the equations:y=-2×(-9/7)-8
Write as a single fraction:y=2×9/7-8
Calculate the product or quotient:y=18/7 -8
Convert the expression into a fraction: y=18/7 -8/1
Expand the fraction to get the least common demominator:y=18/7-8x7/1x7
Calculate the product or quotient: y=18/7-56/7
Write the numerators over common denominator:y=18-56/7
Calculate the sum or difference: y=-38/7
Rewrite the fraction: y= -38/7
The solution of the system is:
x= -9/7
y= -38/7
Based on the records for the past several seasons, a sports fan believes the probability the red team wins is 0.70. The fan also believes the probability the blue team wins is 0.75. In a season with 160 games, how many fewer games should the fan expect the red team to win?
Answers
Answer:
The answer is 8
Step-by-step explanation:
Red Team:160*.70=112
Blue Team:160*.75=120
120-112=8
-1/2 divided by 1 3/4 as a fraction in simplest form
Answers
[tex]\Large\textsf{\textbf{Answer\;:}}}[/tex]
[tex]\large\textsf{refer\:to\:the\:"calculations"\:section\:of\:this\:ans}[/tex]
[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]
[tex]-\displaystyle\frac{1}{2} :1\frac{3}{4}[/tex]
First , convert the mixed number (the fraction we are dividing by in the given maths problem) into an improper fraction .
Multiply the whole part (1) times the denominator (4) and add the numerator . The result is the numerator of our fraction , and the denominator stays the same .
So now our maths problem looks as follows :
[tex]-\displaystyle\frac{1}{2} :\frac{7}{4}[/tex]
Now turn the fraction you are dividing by over :
[tex]-\displaystyle\frac{1}{2} *\frac{4}{7}[/tex]
Now multiply the numerator of the first fraction times the numerator of the second fraction :
4
Perform the same operation with the denominators :
-4/14
So the result is :
[tex]-\displaystyle\frac{4}{14}[/tex]
Since the above fraction is not in it's simplest form , we divide the top and bottom by 2 (a common factor of both 4 and 14) :
[tex]-\displaystyle\frac{2}{7}[/tex]
[tex]\footnotesize\textsf{hope\:helpful~}[/tex]
Help me out with this math problem for 50 points!!!
Answers
Answer:
1) t < 7 degrees
2) x >( the sign needs to be underlined) 42
3)r >(the sign needs to be underlined) 125
Step-by-step explanation: There you go, I did my best =)
I need help with a assignment on McGrawhill pls help its due soon
Answers
Computing Indefinite Integrals:
- Evaluate [tex]\displaystyle \int{{4{x^6} - 2{x^3} + 7x - 4\,dx}}[/tex]
- Do not copy and paste --> Results in immediate reports (Point-seekers)
- Do not spam
- Do not add any unnecessary information
- Add an explanation
- Please help, thank you
Answers
Answer:
[tex]\displaystyle \int {4x^6 - 2x^3 + 7x - 4} \, dx = \boxed{ \frac{4x^7}{7} - \frac{x^4}{2} + \frac{7x^2}{2} - 4x + C }[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify given integral.
[tex]\displaystyle \int {4x^6 - 2x^3 + 7x - 4} \, dx[/tex]
Step 2: Integrate
We can find the indefinite integral using basic integration techniques listed under "Calculus":
[Integral] Rewrite [Integration Property - Addition/Subtraction]:[tex]\displaystyle \begin{aligned}\int {4x^6 - 2x^3 + 7x - 4} \, dx & = \int {4x^6} \, dx - \int {2x^3} \, dx + \int {7x} \, dx - \int {4} \, dx \leftarrow \\\end{aligned}[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:
[tex]\displaystyle \begin{aligned}\int {4x^6 - 2x^3 + 7x - 4} \, dx & = \int {4x^6} \, dx - \int {2x^3} \, dx + \int {7x} \, dx - \int {4} \, dx \\& = 4 \int {x^6} \, dx - 2\int {x^3} \, dx + 7 \int {x} \, dx - 4 \int {} \, dx \leftarrow \\\end{aligned}[/tex][Integrals] Apply Integration Rule [Reverse Power Rule]:
[tex]\displaystyle \begin{aligned}\int {4x^6 - 2x^3 + 7x - 4} \, dx & = \int {4x^6} \, dx - \int {2x^3} \, dx + \int {7x} \, dx - \int {4} \, dx \\& = 4 \int {x^6} \, dx - 2\int {x^3} \, dx + 7 \int {x} \, dx - 4 \int {} \, dx \\& = 4 \bigg( \frac{x^7}{7} \bigg) - 2 \bigg( \frac{x^4}{4} \bigg) + 7 \bigg( \frac{x^2}{2} \bigg) - 4x + C \leftarrow \\\end{aligned}[/tex]Simplify:
[tex]\displaystyle \begin{aligned}\int {4x^6 - 2x^3 + 7x - 4} \, dx & = \int {4x^6} \, dx - \int {2x^3} \, dx + \int {7x} \, dx - \int {4} \, dx \\& = 4 \int {x^6} \, dx - 2\int {x^3} \, dx + 7 \int {x} \, dx - 4 \int {} \, dx \\& = 4 \bigg( \frac{x^7}{7} \bigg) - 2 \bigg( \frac{x^4}{4} \bigg) + 7 \bigg( \frac{x^2}{2} \bigg) - 4x + C \\& = \boxed{ \frac{4x^7}{7} - \frac{x^4}{2} + \frac{7x^2}{2} - 4x + C } \leftarrow \\\end{aligned}[/tex]
∴ we have found the indefinite integral.
___
Learn more about integration: https://brainly.com/question/27795758
Learn more about Calculus: https://brainly.com/question/27780220
___
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Answer:
[tex]\dfrac{4}{7}x^7-\dfrac{1}{2}x^4+\dfrac{7}{2}x^2-4x+\text{C}[/tex]
Step-by-step explanation:
Integration is the "opposite" of differentiation.
Fundamental Theorem of Calculus
[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]
If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration (C).
[tex]\boxed{\begin{minipage}{5 cm}\underline{Integrating a constant}\\\\$\displaystyle \int n\:\text{d}x=nx+\text{C}$\\(where $n$ is any constant value)\end{minipage}}[/tex]
Just add an x to the constant.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}[/tex]
Increase the power by 1, then divide by the new power.
[tex]\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int ax^n\:\text{d}x=a \int x^n \:\text{d}x$\end{minipage}}[/tex]
If the terms are multiplied by constants, take them outside the integral.
Given indefinite integral:
[tex]\displaystyle \int (4x^6-2x^3+7x-4)\:dx[/tex]
Integrate each term separately and take the constants outside the integrals:
[tex]\implies \displaystyle 4 \int x^6\:\text{d}x - 2 \int x^3 \:\text{d}x + 7 \int x \:\text{d}x - \int 4 \:\text{d}x[/tex]
Integrate, using the rules given above:
[tex]\implies 4 \cdot \dfrac{x^7}{7}-2 \cdot \dfrac{x^4}{4}+7 \cdot \dfrac{x^2}{2}-4x+\text{C}[/tex]
Simplify:
[tex]\implies \dfrac{4}{7}x^7-\dfrac{1}{2}x^4+\dfrac{7}{2}x^2-4x+\text{C}[/tex]
As one calculation:
[tex]\begin{aligned}\displaystyle \int (4x^6-2x^3+7x-4)\:dx & = \displaystyle 4 \int x^6\:\text{d}x - 2 \int x^3 \:\text{d}x + 7 \int x \:\text{d}x - \int 4 \:\text{d}x\\\\& = 4 \cdot \dfrac{x^7}{7}-2 \cdot \dfrac{x^4}{4}+7 \cdot \dfrac{x^2}{2}-4x+\text{C}\\\\& = \dfrac{4}{7}x^7-\dfrac{1}{2}x^4+\dfrac{7}{2}x^2-4x+\text{C}\end{aligned}[/tex]
Jenny is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 12 inches × 12 1/4
inches. She needs to cut another rectangle that is 10 1/3
inches by 10 1/4
inches. How many total square inches of construction paper does Jenny need for her project? (The answer has to do with a fraction)
Answers
Answer:The total square inches of construction paper Jenny needs for her project is 244 + 108 = 352 square inches
Step-by-step explanation:
Area of first rectangle:
Area of the second rectangle :
Answer: she needs 3281/12 sq inches
Step-by-step explanation:
12 * 12.25 = 147 sq inches
31/3 * 41/4 = 126 5/12
147+126 5/12
she needs 3281/12 sq inches
Again babysitting and homework
Answers
Answer:1496
Step-by-step explanation:
just plug in to the formula for hexagonal prism volume and it equals 1496.49 which rounds to 1496 if you're rounding to the nearest whole number
4) Damian wrote a sentence using the fractions ş and
2
6
2 2
"The numerators of
and
3
are equal, so the fractions are
6
equal."
Damian is incorrect in his reasoning.
• Explain why Damian is incorrect in his reasoning about
numerators.
2
using < or >
6
• Explain why your reasoning is correct.
Answers
Answer:
Barbra’s front porch is 7 meters wide. Jakes front porch is 7,000 millimeters wide. Who has the wider porch.
Step-by-step explanation:
What is the volume of cube B? How many cubes identical to cube A are needed to fill cube B?
Answers
Answer:
The volume of cube b is 1.
Step-by-step explanation:
1×1×1
Answer: volume of cube b is 24 and it would take 4 cube a's to fill cube b.
Step-by-step explanation:
What is the mean for Doctor A’s data set on corrective lenses? What is the mean for Doctor B’s data set on corrective lenses? Write a sentence comparing the number of people who wear corrective lenses in the two data sets.
Answers
Answer: Doctor A: 751.6 Doctor B: 755.2 Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.
Step-by-step explanation:
To find the mean for corrective lenses, add up all of the numbers and divide by the number of data points.
Doctor A's mean:
Add up the data points: 745+726+769+765+756+742+747+748+770+738 = 7516. Count the number of data points to get 10. Divide 7516 by 10. 7516/10 = 751.6.
Doctor B's mean:
Add up the data points: 763+736+735+759+748+756+765+761+768+761 = 7552. Divide by 10. 7552/10 = 755.2
Difference:
755.2-751.6 = 3.6
Answer:
Doctor A: 751.6 Doctor B: 755.2 Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.
stop deleting my answer
you scarmer
Step-by-step explanation:
A bag contains 9 pennies , 8 nickels, and 5 dimes. How many quarters should be added to the bag so the probability of drawing a dime is 1/6?
Answers
Answer:
A bag contains 9 pennies, 8 nickels and 5 dimes: 22 coins total
5/30 = 1/6
22 + 8 = 30
8 quarters would give the needed 30 coin total
P(dime) = 5/30 = 1/6
Step-by-step explanation:
No quarters should be added to the bag so the probability of drawing a dime is 1/6
Let x be the number of quarters to be added to the bag.
The probability of drawing a dime can be found by dividing the number of dimes in the bag by the total number of coins in the bag after adding x quarters.
The total number of coins in the bag before adding any quarters is:
9 pennies + 8 nickels + 5 dimes = 22 coins
After adding x quarters, the total number of coins in the bag becomes:
9 pennies + 8 nickels + 5 dimes + x quarters = 22 + x coins
The probability of drawing a dime is given as 1/6.
So, we can set up the equation:
5 / (22 + x) = 1/6
30 = 5(22 + x)
30 = 110 + 5x
-80 = 5x
x = -16
Since x represents the number of quarters to be added, it cannot be negative. Therefore, it is not possible to add any quarters to the bag so that the probability of drawing a dime is 1/6.
Hence, the answer is zero quarters.
Learn more about probability here;
https://brainly.com/question/9326835
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Help me with this too
:-(
Answers
Answer:
C
Step-by-step explanation:
what is it you don't understand about this ?
the question only asks about a wallpaper border, which is a strip.
so, we don't need any areas, we only need the perimeter of the room.
that means we need to add up all sides.
the little "missing corner" on the top right would hurt us for the area of the room, but not for the perimeter.
just imagine, the room would be a perfect rectangle.
how long would the top side be ?
right, identical to the bottom side : 8 ft.
and how long would the right side be ?
right, identical to the left side : 4 yds.
now, look closely, did we lose (or add anything) of/to the side lengths by the missing corner up there ?
we lost area, but ... we did not lose perimeter distance !
i know, this sounds funny, but it is true. look again.
the short right side plus the long right side are together still the same length as the left side : 4 yds.
and the long top side and the shorter lower top side together are still the same length as the bottom line : 8 ft.
attention trap : the left and right sides are in yds.
1 yd = 3 ft !
so, long story short, the perimeter is as for a normal rectangle
2×length + 2×width = 2×8 + 2×4×3 = 16 + 8×3 = 40 ft
and the border costs $3 per ft, so we get
3×40 = $120
as the total price for the border.
Answer And Explain Please!
Answers
Answer:
40in^2
Step-by-step explanation:
Add all the sides up
What is instant subtraction?
Answers
Hoped this helps:)
:DDDDDD
PLEASE HELP ME OUT TY!!!!!!
(use the number line)
Answers
can someone named these TuT
the one's that have circles around the numbers
Answers
Answer:
2. triangular pyramid
3. square pyramid
4. rectangular prism
6. triangular prism
Step-by-step explanation:
PLEASE HELP
A square coffee table has an area of 150 square inches. What is the length of the coffee table? Round your answer to the nearest hundreth.
Answers
explanation: a square has 4 sides of equal length, meaning you divide 150 by 4 because thats how many sides there are.
Length of the coffee table will be 12.25 inch
What is Area of square?
The area of square is length time width.
Given that;
Area of square coffee table = 150 square inches.
Now,
Area of square = (side)²
Substitute the value of area of square,
Side² = 150
Take square root both sides,
Side = √150
Side = 12.247
After rounding it,
Side = 12.25
Thus, Length of the coffee table will be 12.25 inch.
Learn more about the square visit:
https://brainly.com/question/11564229
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Answer the following about estimating 342/6 .
Answers
Answer:
Step-by-step explanation:
well,
300/6 = 50
360/6 = 60
since 360 is closer,
360/6
360>342
it is also an overestimate
What does x equal? Image below
Answers
Answer:
52
Step-by-step explanation:
since HI and JK are parallel lines, angle K is congruent to angle I.
Now that you know that, we just need to know that a triangle's angles always add up to 180 degrees which means that x is 180-62-66
Answer:
Angle x = 52
Step-by-step explanation:
Angle HIA = Angle JKI = 63
This is because both angles are corresponding angles HI//JK
Angle x = 180 - 66 - 62
= 52