The volume of the smaller box is 900 cm³.
We have,
The dimensions of the smaller box are half the dimensions of the larger box.
Length = 24/2 = 12 cm
Width = 10/2 = 5 cm
Height = 30/2 = 15 cm.
The volume of the smaller box is the product of these dimensions:
Volume = length × width × height
= 12 cm × 5 cm × 15 cm
= 900 cm³
Therefore,
The volume of the smaller box is 900 cm³.
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Mr. Cosgrove, a farmer, needs to build a new feed trough for his goats. The trough will be in the shape of a rectangular prism and hold approximately 20 gallons, or 4,620 cubic inches, of food. The height of the trough will be 6 inches so that the goats can access their food easily. Mr. Cosgrove decides to make the trough 8 times as long as it is wide so all his goats can eat at the same time.
Which equation can you use to find the width of the feed trough?
A.) 4,620w = 8 x w x 6
B.) 4,620 = 8w x w x 6
To the nearest tenth of an inch, how wide will the feed trough be?
___ inches wide
The correct equation to find that can be used to find the width of the feed trough is (b) 4620 = 8w×w×6, and the width of the "feed-trough" is 9.8 inches wide.
The "Volume" of "rectangular-prism" can be found using formula V = l×w×h, where V is = volume, l is = length, w is = width, and h is = height.
We know that the volume of the "feed-trough" is 4,620 cubic inches, and
The height is = 6 inches. Let us denote the width as "w" and the length as "8w" (because trough's length is 8 times the width),
So, the equation for the volume of the feed trough is:
⇒ 4620 = (8w) × (w) × (6),
So, the correct equation to find the width is Option (b) 4620 = (8w) × (w) × (6).
Simplifying further,
We get,
⇒ w² = 96.25,
⇒ w ≈ 9.8 inches (rounded to the nearest tenth)
Therefore, the width of the feed trough will be approximately 9.8 inches.
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9n^2 - 24 + 16
please help
Answer:
lol the answer is the second one
If two cubes have edges of 2 ft and 4 ft, what is the ratio of their surface areas?
Answer:
1/4
Step-by-step explanation:
Tavon wants to buy new skis that are the same as his height he is 1.6 meters tall. skis are sold in cm. What size does Tavon need?
The size of skis is 160 cm.
Given that, Tavon wants to buy new skis that are the same as his height he is 1.6 meters tall. skis are sold in cm. we need to find the height of skis,
Using the concept of unit conversion,
1 m = 100 cm
Therefore,
1.6 m = 100 × 1.6 = 160 cm
Since, the length of the skis and the height of Tavon are same so the skis are of 160 cm.
Hence, the size of skis is 160 cm.
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Which conclusion can best be made from this scatter plot?
Average Rainfall vs. Average Temperature
A scatter plot with average annual rainfall (inches) on the x-axis, and average temperature (degrees Fahrenheit) on the y-axis. Points are scattered on the graph.
CLEAR CHECK
As average annual rainfall increases, average temperature remains constant.
As average annual rainfall increases, average temperature decreases.
As average annual rainfall increases, average temperature increases.
There is no correlation between average annual rainfall and average temperature
The correct ansewer is there is no correlation between average annual rainfall and average temperature
To show the relationship between two variables, scatter plots are utilized. The following broad inferences can be drawn from a scatter plot:
Positive correlation: When one variable's value rises, the other variable's value likewise tends to rise. An upward-sloping trend line from left to right serves as an indicator of this.Negative correlation: When one variable's value rises, the other variable's value tends to fall. A trend line that slopes downhill from left to right serves as a visual cue for this.No obvious association can be seen between the two variables. This is demonstrated via a scatter plot where the data points are dispersed randomly over the plot and there is no visible trend line.But in the given graph there is no property applying at all so,
The correct ansewer is there is no correlation between average annual rainfall and average temperature
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A lock has a 3-number code made up of 12 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
The length of a rectangle is seven more than double the width. If the perimeter is 122 inches, find the
dimensions.
The width is:
The length is
The length of the rectangle is 43 inches.
The width of the rectangle is 18 inches.
Given that,
The length of a rectangle is seven more than double the width.
Let width = x
Length = 7 + 2x
Perimeter of the rectangle = 122 inches
The formula to find the perimeter of a rectangle is,
Perimeter = 2 (length + width)
Substituting,
122 = 2 (7 + 2x + x)
61 = 7 + 3x
3x = 54
x = 18
Width = 18 inches
Length = 7 + 2x = 7 + 36 = 43 inches
Hence the length and width are 43 inches and 18 inches respectively.
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Please help I'm studying my next grade.
63+48÷(23-12)x81
Answer:
416.16
Step-by-step explanation:
First, solve the parenthetical expression (23-12) which equals 11. Next, use the order of operations to perform the multiplication and division from left to right: 48 ÷ 11 = 4.36 and 4.36 x 81 = 353.16. Finally, add this result to 63 to get the final answer: 63 + 353.16 = 416.16. Therefore, the solution is 416.16.
you roll a fair 6-sided die. what is the probability of rolling an odd number?
Answer:
Step-by-step explanation:
50%
Select all the expressions that are equivalent to 24a – 6.
12(48a−12)
1
2
48
a
-
12
–3(2a + 2) + 18a
3(–2 + 8a)
–6(2 – a) + 18a + 6
2(10a − 4) + 0.25(8a)
The expressions that are equivalent to 24a - 6 are 1/2(48a - 12) and -3(2a + 2) + 18a
Let's start with the first expression,
=> 12(48a - 12).
We can distribute the 12 to get
=> 576a - 144.
This expression is not equivalent to 24a - 6 since 576a - 144 cannot be simplified to 24a - 6.
Moving on to the second expression,
=> 1/2(48a - 12) = 24a - 6.
This expression is equivalent to 24a - 6 since it simplifies to the same expression.
The fourth expression,
=> -3(2a + 2) + 18a
can be simplified by distributing the -3 to get
=> -6a - 6 + 18a.
Combining like terms, we get
=> 12a - 6.
This expression is equivalent to 24a - 6 since it simplifies to the same expression.
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Select the correct answer.
Solve the following equation for x.
x2 - 36 = 0
A.
x = 1; x = -36
B.
x = -1; x = 36
C.
x = -6; x = 6
D.
x = -18; x = 18
Answer: D
Step-by-step explanation:
2x-36=0
+36 +36
___________
2x=36
x=18
Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.
You want to purchase a new car
In 9 years and expected the car to cost $15,000. Your bank offers a plan a guaranteed APR of 6.5% .
If you make regular deposits.
How much should you deposit each month to end up $15,000 in 9 years ? 
The approximate amount to be deposited each month at a guaranteed APR of 6.5% that will accrue to $15,000 in 9 years is $97.57.
Future value for an annuityIn order to find out how much you should deposit each month to end up with $15,000 in 9 years, we can use the future value formula for an annuity:
FV = PMT * [(1 + r)^n - 1] / r
where:
FV is the future valuePMT is the deposit amountr is the monthly interest raten is the total number of deposits (in months).The total number of deposits, n, is the number of months in 9 years:
n = 9 * 12 = 108
The monthly interest rate from the annual percentage rate (APR):
r = (1 + 0.065/12) - 1 = 0.0054166667
Let's substitute the values and solve for PMT:
15,000 = PMT * [(1 + 0.0054166667)^108 - 1] / 0.0054166667PMT = 15,000 / [(1 + 0.0054166667)^108 - 1] * 0.0054166667PMT ≈ $97.57Therefore, you should deposit approximately $97.57 each month to end up with $15,000 in 9 years, assuming a guaranteed APR of 6.5%.
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HELP ASAP! The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of center for the data, and what is its value?
The median is the best measure of center, and it equals 6.5.
The mean is the best measure of center, and it equals 7.
The median is the best measure of center, and it equals 7.
The mean is the best measure of center, and it equals 6.5.
all
Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 151515 dollars.
Select the equation that matches this situation.
Choose 1 answer:
Choose 1 answer:
(Choice A) 5 = 15 \times w5=15×w5, equals, 15, times, w
A
5 = 15 \times w5=15×w5, equals, 15, times, w
(Choice B) w = 15 +5w=15+5w, equals, 15, plus, 5
B
w = 15 +5w=15+5w, equals, 15, plus, 5
(Choice C) w = 5 \times 15w=5×15w, equals, 5, times, 15
C
w = 5 \times 15w=5×15
Simplify:
Please see the attachment.
Answer:
Step-by-step explanation:
[tex]\frac{9\sqrt{x} -6}{\sqrt{x} +7} \times \frac{\sqrt{x} -7}{\sqrt{x} -7} \\=\frac{9(x)-63\sqrt{x} -6\sqrt{x} +42}{(\sqrt{x} )^2-7^2} \\=\frac{9x-69\sqrt{x} +42}{x-49}[/tex]
Find the area of the triangle.
3).
Answer:
86.60254
Step-by-step explanation:
30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)
In 4 MNO if MN = 5 cm, NO = 6 cm and MO = 7 cm, find: a the area of A MNO. b the length of the shortest altitude.
The area of the triangle MNO is 14.7 sq cm and the shortest altitude is 2.1 cm
Finding the area of the triangle MNOFrom the question, we have the following parameters that can be used in our computation:
MN = 5 cm, NO = 6 cm and MO = 7 cm
So, we have
s = 1/2 * (5 + 6 + 7)
Evaluate
s = 9
The area is then calculated as
Area = √[s(s - MN)(s - NO)(s - MO)]
Substitute the known values in the above equation, so, we have the following representation
Area = √[9 * (9 - 5)(9 - 6)(9 - 7)]
Evaluate
Area = 14.7
Also, we have
Shortest altitude = 14.7/7
Shortest altitude = 2.1
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Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Ariadne's shadow is 6 feet long and Dixon's shadow is 9 feet long. If Dixon is 6 feet tall, how tall is Ariadne?
Answer: 4
Step-by-step explanation:
We can use the proportion. We already know that Dixon is 6 ft tall and that his shadow is 9 ft long. Also we know that the shadow of his sister is 6 ft long. 6 : x = 9 : 6, or 6 / x = 9 / 6. After that we will cross multiply : 9 * x = 6 * 6, 9 x = 36 , x = 36 : 9, x = 4. Answer: Ariadne is 4 feet tall.Hope I helped! :) Cheers!
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid:
between $150,000 and $156,000 if the standard deviation is $2000.
About 49.87% of buyers paid between $150,000 and $156,000 for the new homes.
According to the 68-95-99.7 rule, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean in a normal distribution.
In this case, the mean price of a certain model of new homes is $150,000, and the standard deviation is $2000. Thus, we can calculate the price range of one standard deviation above and below the mean as:
Lower Bound = Mean - 1 × Standard Deviation = $150,000 - $2,000 = $148,000
Upper Bound = Mean + 1 × Standard Deviation = $150,000 + $2,000 = $152,000
Therefore, approximately 68% of buyers paid between $148,000 and $152,000 for the new homes.
To find the percentage of buyers who paid between $150,000 and $156,000, we need to calculate the z-scores for these values using the formula:
z-score = (value - mean) / standard deviation
For $150,000:
z-score = ($150,000 - $150,000) / $2,000 = 0
For $156,000:
z-score = ($156,000 - $150,000) / $2,000 = 3
Looking at the z-score table, we can see that the area under the normal curve between z = 0 and z = 3 is approximately 49.87%.
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A woman earns $2000 per month and budgets $220 per month for food. What percent of her monthly income is spend on food?
Answer:
1.1 percent of her monthly income is spent on
Step-by-step explanation:
Please help! Will mark brainliest for correct answer!
Vector C is 3.5 units West and Vector D is 3.3 units South. Vector R is equal to Vector D - Vector C. Which of the following describes Vector R?..
8.3 units 54
South of East
8.3 units 54circ South of East
4.8 units 47
East of South
4.8 units 47circ East of South
6.2 units 32
West of South
6.2 units 32circ West of South
5.9 units 52
South of West
The Vector R will be 4.8 units in the direction of East of South. Then the correct option is B.
Given that:
Vector C is 3.5 units West
Vector D is 3.3 units South
The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
Vector R is equal to Vector D - Vector C. Then we have
Vector R = Vector D - Vector C
Vector R = 3.3 units South - 3.5 units West
Vector R = 3.3 units South + 3.5 units East
Vector R = √((3.3)² + (3.5)²)
Vector R = 4.8 units
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Which of the numbers below are multiples of 4 select all that apply
Answer:Need answer choices to answer
Step-by-step explanation:
please help im begging
The correct statements regarding the solutions of the quadratic function is given as follows:
Two complex solutions.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by the general equation presented as follows:
y = ax² + bx + c
The discriminant of the quadratic function is given by the equation as follows:
Δ = b² - 4ac.
The numeric value of the coefficient and the number of solutions of the quadratic equation are related as follows:
Δ > 0: two real solutions.Δ = 0: one real solution.Δ < 0: two complex solutions.The function for this problem is given as follows:
y = 2x² - 8x + 10.
The coefficients are given as follows:
a = 2, b = -8 and c = 10.
Hence the discriminant is given as follows:
Δ = (-8)² - 4 x 2 x 10
Δ = 64 - 80
Δ = -16.
Negative discriminant, hence the equation has two complex solutions.
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Solve the matrix please
I don't think it can be solved
Both the rows and columns should be equal I guess
find the area of the figure? 18ft 36ft
Answer:
648ft
Step-by-step explanation:
18 multiplied by 36 is 648
Answer:
648 ft ^2
Step-by-step explanation:
A = L * W A = 18 ft * 36 ft A = 648 ft^2
The resulting number is the area of the rectangle, which is expressed in square units. So the area of the figure is 648 square feet
what's 2/3 times 6+2/3 times 2
Answer:
5 1/3
Step-by-step explanation:
2/3 x 6 + 2/3 x 2
2/3 x 6 = 12/3
2/3 x 2 = 4/3
12/3 + 4/3 = 16/3
16/3 = 5 1/3
suppose a company's revenue increased by 4.65% over tyhe previous year. Assuming this trend continues, which expression could the company use to ampproximate the percent increase in revenue through a certain number of months, m?
The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 .0465 )^m[/tex]
We have to given that;
A company's revenue increased by 4.65% over the previous year.
We know that;
Formula is,
[tex]A = P (1 + \frac{r}{100} )^m[/tex]
Where, A = final amount
P = principal amount
r = rate
m = time in months
So, The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 + \frac{r}{100} )^m[/tex]
⇒ [tex]A = P (1 + \frac{4.65}{100} )^m[/tex]
⇒ [tex]A = P (1 + 0.0465 )^m[/tex]
⇒ [tex]A = P (1 .0465 )^m[/tex]
Thus, the correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 .0465 )^m[/tex]
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Chase rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase
describes the probability that he will roll a number greater than 6?
1.unlikely
2.impossible
3.an equal chance or 50-50
4.likely
Please help.
Answer:
This (1.) unlikely
A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?
Answer:165+12x=y
Step-by-step explanation:there is 3 $55 games and x12 dollars game so that the equation.
Find the distance between the points (1,2) and (10,-10) round decimal to nearest tenth
The distance between the points (1, 2) and (10,-10) is 15 units.
How to determine the distance between the coordinates for each points?In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
By substituting the given points into the distance formula, we have the following;
Distance = √[(10 - 1)² + (-10 - 2)²]
Distance = √[(9)² + (-12)²]
Distance = √[81 + 144]
Distance = √225
Distance = 15 units.
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What is the surface area of this triangular pyramid?
now, taking a peek at the picture above, let's notice, the pyramid is really just 4 triangles, three standing up and one lying down.
[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{triangles standing up} }{3\left[\cfrac{1}{2}(\underset{b}{5})(\underset{h}{7}) \right]}~~ + ~~\stackrel{ \textit{triangle lying down} }{\cfrac{1}{2}(\underset{b}{5})(\underset{h}{4.3})}}\implies 52.5+10.75\implies \text{\LARGE 63.25}~yd^2[/tex]