The answer is 180 seconds. The reason for this is that the second carton is 24 times the volume of the first one; so, the time taken to pack the container would be 24 times longer. This means that the answer would be found by the equation 7.5 * 24 which is evaluated to 180 seconds
To find out how long it would take to fill the larger carton, you can use the ratio of the volumes of the two cartons and the time it takes to fill the smaller carton. The formula to calculate the volume of a rectangular prism (like a carton) is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
First, we calculate the volume of the original carton:
\[ \text{Original Carton Volume} = 3 \text{ ft} \times 2 \text{ ft} \times 1 \text{ ft} = 6 \text{ cubic feet} \]
Next, we calculate the volume of the new larger carton:
\[ \text{New Carton Volume} = 4 \text{ ft} \times 6 \text{ ft} \times 6 \text{ ft} = 144 \text{ cubic feet} \]
Now, you can find out how much bigger the new carton is compared to the original carton by taking the ratio of the volumes:
\[ \text{Volume Ratio} = \frac{\text{New Carton Volume}}{\text{Original Carton Volume}} = \frac{144}{6} = 24 \]
This ratio means the new carton is 24 times larger in volume than the original carton.
Given that it takes 7.5 seconds to fill the original carton, you can now calculate the time it would take to fill the new carton by multiplying the original time by the volume ratio:
\[ \text{Time to fill new carton} = \text{Original Time} \times \text{Volume Ratio} = 7.5 \text{ sec} \times 24 = 180 \text{ sec} \]
Therefore, it would take 180 seconds to fill the carton that measures 4ft by 6ft by 6ft.
Which causal relationship is justifiable?
a.)
Children with bigger feet spell better. Spelling better causes a child's feet
to grow
b.)
Surf board sales rise when lemonade sales rise. Drinking lemonade causes
more people to buy surting boards.
c.)
The traffic is heavier around the stadium when a game is being played.
Games being played cause more traffic.
d.)
An elementary school child has more cavities than his baby brother. He
also has a larger vocabulary. An increased vocabulary causes cavities.
Answer:
Step-by-step explanation:
Only (c) makes sense. The game draws people, which in turn means more cars and heavier traffic in the surrounding area.
Answer:
C) The traffic is heavier around the stadium when a game is being played. Games being played cause more traffic.
Step-by-step explanation:
Help! Question with simplifying square root
Answer:
The square root of 25 is 5 because whenever it's a number multiplied by the same number like 4×4, 5×5, 8×8 and so on, you are squaring that number since you are multiplying the same number twice. Hope this helps and I'm sorry if my explanation is not that clear:)
I need help please.
Answer:
9.8
Step-by-step explanation:
[tex]51.94 /5.3=9.8[/tex]
Answer: 9.8
How I Found The Answer: All You Had To Do Was Divide 51.94 by 5.3. Which Equals 9.8
A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4:1, how many homework problems did she have total?
Answer:
10 problems
Explanation:
The ratio can be used to find the number of problems left. Then, you can add all the problems together to find your final answer.
Answer: 8 + 4 + 1
Step-by-step explanation:
I didn't really understand your question. can you add a photo of the question
80+ POINTS AND BRAINLIEST, EXPLANATION NEEDED!
What is the surface area of the prism?
Answer:
[tex]A = 234mm^{2}[/tex]
Step-by-step explanation:
A rectangular prism (or orthohedron) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.
The orthohedron is a straight prism and also a particular case of irregular quadrangular prism.
In a rectangular prism you can differentiate the following elements:
Bases: are two parallel and equal rectangles.
Faces: the four rectangles of the lateral faces and the two bases. Therefore, it has six faces.
Height : distance between the two bases of the prism. The height h coincides with any of the edges of the lateral faces.
Vertices: the eight points where three faces of the prism converge.
Edges: segments where two faces of the prism are found.
The surface area of the rectangular prism (or orthohedron) is calculated by the following formula:
[tex]A=2(wh+lw+lh)[/tex] where w is width, l is length, and h is height.
Solving with l = 15mm, w = 3mm, and h = 4mm
[tex]A=2[(3mm)(4mm)+(15mm)(3mm)+(15mm)(4mm)][/tex]
[tex]A=2(12mm^{2}+45mm^{2} +60mm^{2}) \\A=2(117mm^{2})\\A= 234mm^{2}[/tex]
Answer:
S.A. = 234mm²Step-by-step explanation:
Look at the net of the prism in the picture.
We have
two rectangles 4mm × 15mm
two rectangles 3mm × 15mm
two rectangles 3mm × 4mm
The formula of an area of a rectangle: A = lw
l - length
w - width
l × w
Calculate the areas:
A₁ = 4mm · 15mm = 60mm²
A₂ = 3mm · 15mm = 45mm²
A₃ = 3mm · 4mm = 12mm²
The surface area:
S.A. = 2A₁ + 2A₂ + 2A₃
Substitute:
S.A. = 2 · 60 + 2 · 45 + 2 · 12 = 120 + 90 + 24 = 234mm²
what does congruent mean
Answer:
two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Answer:
If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!
Step-by-step explanation:
Help me please and explain please?
Answer:
Step-by-step explanation:
A.
First spin Second Spin
____ Red |---------Red
| |---------Green
| |--------Yellow
|
____Blue |---------Red
|----------Green
|---------Yellow
B. Probability of getting a red on the first spin = 1 /2.
Help solve 88 please
Answer:
The equation of the line is y = -2x + 7
Step-by-step explanation:
* Lets study how to make an equation of the line from two point
- If the line passes through points (x1 , y1) and (x2 , y2)
- The form of the equation is y = mx + c, where m is the slope of the
line and c is the y-intercept
- The rule of the slope is m = (y2 - y1)/(x2 - x1)
- The y-intercept means the line intersect the y-axis at point (0 ,c)
* Now lets solve the problem
∵ The line passes through points (-3 , 13) and (4 , -1)
- Let (-3 , 13) is (x1 , y1) and (4 , -1) is (x2 , y2)
∵ m = (y2 - y1)/(x2 - x1)
∴ m = (-1 - 13)/(4 - -3)
∴ m = (-14)/7 = -2
- Lets write the form of the equation
∵ y = mx + c ⇒ substitute the value of m
∴ y = -2x + c
- To find the value of c use one of the two points to substitute the
values of x and y in the equation
∵ The line passes through (4 , -1)
∴ -1 = -2(4) + c
∴ -1 = -8 + c ⇒ add 8 to both sides
∴ -1 + 8 = -8 + 8 + c
∴ 7 = c
∴ y = -2x + 7
* The equation of the line is y = -2x + 7
WORTH 30 : can you please help me with my homework questions 14-18
If this helps you please make it brainliest.
14. She has 12 possible choices.
15. $96
16. I don’t know about this one, sorry.
I7. 4/7
18. 1/3
Hope this helps!
v=pie r squared height over 3. solve for height
Answer:
there wouldbe 9 of height i think
Step-by-step explanation:
[tex]v=\frac{\pi r^2h}{3} \\\text{solving for h}\\3v=\pi r^2h\\\\\boxed{\frac{3v}{\pi r^2}} = h[/tex]
draw a graph of y=1/x
Answer:
Step-by-step explanation:
Note that this function is not defined at x = 0; it does have a vertical asymptote which is the line x = 0, as well as a horiz. asymptote which is the line y = 0. This function is odd because the power of x is -1 (a negative odd number). Half the graph appears in Quadrant I: (1, 1), (2, 1/2), (3, 1/3), etc.
The other half is the reflection of the Quadrant I part in the origin, and this is because the function is odd.
For every x value (left or right), put it into the equation to find the y value (up or down).
For example, if the x value is 1, then the y value is 1/1 or 1.
PLS HELP ASAP!
which two data sets show the most overlap?
The answer is D because all of the dots are in the same place except for 2.
Answer:
Step-by-step explanation:
d
Copy the measurements given onto the next of each solid.
Answer:
Every line on the net has a measurement of 16.
Step-by-step explanation:
Every edge dimension of the cube has a measurement of 16, so the corresponding edges of the net (all edges) will have a measurement of 16. Put the number 16 next to each line on the net.
Can someone please help?
Answer:
A coordinate pair that works as a solution is (1,3)
Answer:
A coordinate pair that works as a solution is (1,3)
Step-by-step explanation:
The best answer choice.
Answer:
The student spent 60 minutes studying and got a 90 on the test
Step-by-step explanation:
The x coordinate is 60, which means they spent 60 minutes studying
The y coordinate is 90 which means they got a score of 90 on the test
The student spent 60 minutes studying and got a 90 on the test
The manager of a hair salon is analyzing the number of customers who visit the salon each day. If she wants one number to summarize all the values of the data set, what type of measure should she use?
A. a measure of center, such as the median
B. a measure of variation, such as the mean absolute deviation
C. a measure of variation, such as the mode
D. a measure of center, such as the interquartile range
Answer:
the answer would be A. a measure of center, such as the median
Step-by-step explanation:
A measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
Some examples of a measure of center are median and mode. Some examples of a measure of variation are interquartile range and mean absolute deviation.
The salon manager wants one number to summarize all the values of the data set.
Please help! I’m super confused because I got a negative number and I think I’m wrong?
Answer:
5 1/3
Step-by-step explanation:
16 - (2z-4)/3
Let z = 18
16 - (2*18-4)/3
Multiply inside the parentheses first
16 - (36-4)/3
Subtract inside the parentheses
16 - (32/3)
Divide inside the parentheses and change to a mixed number
16 - 10 2/3
Borrow 1 from 16 in the form of 3/3
15 3/3 - 10 2/3
5 1/3
Answer:
Your answer would be 5 1/3.
Step-by-step explanation:
16- (2(18)-4)/3
16- (36-4)/3
16/1 - 32-3
48/3 - 32/3 = 16/3
16/3 converted to a mix number is 5 1/3
Hope I helped :)
Working together, Joy and Steve collected 39 pounds of aluminum cans for recycling. If Joy collected j pounds, which of the following shows the number of pounds collected by Steve?
Answer:
The number of pounds collected by Steve is [tex]39-j[/tex]
Step-by-step explanation:
Let
j----> the number of pounds collected by Joy
s ---> the number of pounds collected by Steve
we know that
[tex]j+s=39[/tex]
Solve for s
That means-----> Isolate the variable s
Subtract j both sides
[tex]s=39-j[/tex]
a rectangular parking lot has a length of 88 meters. the length of the parking is three times the width. find the length and width
Final answer:
The width of the parking lot is 11 meters and the length is 33 meters.
Explanation:
To find the width of the rectangular parking lot, let's assume that the width is 'x'. According to the given information, the length of the parking lot is three times the width, so the length is 3x.
The formula for the perimeter of a rectangle is P = 2(length + width). In this case, the length is 3x and the width is x. Plugging in these values, we get:
P = 2(3x + x) = 2(4x) = 8x
We know that the length of the parking lot is 88 meters, so we can set up an equation:
88 = 8x
To solve for x, divide both sides of the equation by 8: x = 11.
Therefore, the width of the parking lot is 11 meters and the length is 3 times the width, which is 33 meters.
How do I find the value of x
ANSWER
4 units.
EXPLANATION
Triangle RQT is a right isosceles triangle.
This implies that:
RQ=RT=x.
Triangle RTS is also a right angle triangle with hypotenuse, RT=x.
Also, the side with length , 2√3 units is opposite to the 60° angle.
We use the sine ratio, to obtain:
[tex] \sin(60 \degree) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(60 \degree) = \frac{2 \sqrt{3} }{x} [/tex]
Solve for x to obtain;
[tex]x= \frac{2 \sqrt{3} }{ \sin(60 \degree)} [/tex]
This gives us:
[tex]x= \frac{2 \sqrt{3} }{ \frac{ \sqrt{3} }{2} } = 4[/tex]
Therefore the value of x is 4 units.
Consider the graph of the linear equation 2x-5y=10. What is the x intercept?What is the y intercept?What is the slope?
Answer:
y int (0, -2) x int (5, 0) slope 2/5
Step-by-step explanation:
2(0)-5y=10
-5y=10
y=-2
2x-5(0)=10
2x=10
x=5
2x-5y=10
-5y=-2x+10
y=2/5 x -2
Stuck on quadratic relations question
For this case we have that the distance between two points is:
[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]
We have the following points:
[tex](x_ {1}, y_ {1}) :( 3 \sqrt {2}, 4 \sqrt {3})\\(x_ {2}, y_ {2}) :( 3 \sqrt {2}, - \sqrt {3})[/tex]
Substituting:
[tex]d = \sqrt {(3 \ sqrt {2} -3 \sqrt {2}) ^ 2 + (- \sqrt {3} -4 \sqrt {3}) ^ 2}\\d = \sqrt {(0) ^ 2 + (- 5 \sqrt {3}) ^ 2}\\d = \sqrt {0+ (25 * 3)}\\d = \sqrt {75}\\d = 5 \sqrt {3}\\d = 8.66[/tex]
Answer:
[tex]d = 8.66[/tex]
i need help fast !!
If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work did he do?
Luke does a work of 308Nm
Step-by-step explanation:
If we have a constant force [tex]\vec{F}[/tex] that acts on a body in the same direction as the displacement [tex]\vec{s}[/tex], then the work [tex]W[/tex] is defined as the product of the force magnitude [tex]F[/tex] and the displacement magnitude [tex]s[/tex]. In other words:
[tex]W=Fs[/tex], which is valid for a constant force in direction of straight-line displacement.
In this problem:
[tex]F=22N \\ \\ s=14m[/tex]
Therefore:
[tex]W=22\times 14 \\ \\ \boxed{W=308Nm}[/tex]
If 12 cans of dog food cost $9.50, how much would 6 cans cost?
Answer:
I would cost $4.75
Step-by-step explanation:
9.50 / 2
4.75
Hope it´s helpfull :)
Answer:
6 cans cost $4.75
Step-by-step explanation:
To solve this divide $9.50 by 12. This will give you $0.7916... per one can.With that same number multiply it by 6 and you get $4.75.
please help!! i'll give a lot of points!!! pls hurry!!!
I believe the equation would be x + 1 = 3y because as the x values increase by 1, the y values are multiplied by 3.
I hope this helps you!
Answer:
see explanation
Step-by-step explanation:
The form of the exponential function is
y = a [tex](b)^{x}[/tex]
To find a and b choose any 2 ordered pairs of points from the table
Using (0, 9) and substituting into the equation
9 = a[tex](b)^{0}[/tex] ⇒ a = 9
Using (1, 27) and substituting into the equation
27 = 9b ⇒ b = 3
Equation is y = 9[tex](3)^{x}[/tex]
25222+14945 rounded to the nearest ten
The answer for this problem is 40167.
To round this up to the nearest 10, if the ones is above 5, round it up.
To the nearest 10
40170
Answer:
40,170
Explanation:
25,222
+14,945
40,167
Then to round, we look at the ones column. Since there is a 7, which is greater than or equal to five, we round up to 70 from 67.
So our final answer is 40,170
Hope this was helpful, let me know of you need any further explanation!
Which is the best description for the lines i and k?
A) parallel
B) perpendicular
C) intersecting and parallel
D) intersecting but not perpendicular
Choice D, perpendicular is when the slopes are inverted to each other such as 1/2 and -2/1
Answer:
D
Step-by-step explanation:
A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 1 the second time.
Answer:
5/12
Step-by-step explanation:
The probability of throwing an even number (2 4 6) out of six numbers on the die (1 2 3 4 5 6) is
3/6
The probability of throwing a number greater than 1 is 5 out of 6.
The probability of both events occurring is 1/2 * 5/6 = 5/12 or just under 1/2
Jaclyn estimates the square root of 50 in the following way:
√200 = 2√100 = 2 (10) = 20
(a) Explain why her reasoning is incorrect.
(b) Estimate the square root of 200 to the nearest tenth without using your calculator. Show your work.
The answer is:
a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:
[tex]\sqrt{200}=14.14[/tex]
and rounding to the nearest tenth, we have that:
[tex]\sqrt{200}=14.1[/tex]
Why?To solve the problem, we need to remember the following property of square roots:
[tex]\sqrt{ab}=\sqrt{a}*\sqrt{b}[/tex]
We are given the expression:
[tex]\sqrt{200}[/tex]
We can rewrite it by the following way:
[tex]\sqrt{100*2}[/tex]
Now, applying the square root property we have:
[tex]\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14[/tex]
Therefore,
a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:
[tex]\sqrt{200}=14.14[/tex]
and rounding to the nearest tenth, we have that:
[tex]\sqrt{200}=14.1[/tex]
Have a nice day!
A trial balance contains
a) all accounts contained in the general ledger with account balances.
b) only income statement accounts with account balances.
c) a list of all accounts without account balances.
d) only balance sheet accounts with account balances
Answer:
d only balance sheet accounts.
Step-by-step explanation:
Only permanent accounts are on the balance sheet which includes
assets, liabilities and equity acct.
A trial balance contains all accounts in the general ledger with their account balances, which are used to prepare financial statements such as the balance sheet and income statement.So,option a is correct.
A trial balance is an accounting report that lists all the accounts in the general ledger of an entity along with their respective account balances. It is prepared to check the arithmetical accuracy of the accounting records - to ensure that debits equal credits. Therefore, the correct answer to the question is:
a) All accounts contained in the general ledger with account balances.
The trial balance includes both income statement accounts, such as revenue and expenses, and balance sheet accounts, which include assets, liabilities, and equity accounts. It is commonly used as a step in the process of preparing the financial statements, which include the balance sheet, income statement, and statement of retained earnings. These components provide a more comprehensive view of an entity's financial health at a certain point in time or over a specified period.