A company shipped a certain amount of books to a school. The books
were shipped in large boxes that are 25 in. X 10 in. X 12 in. The books are
all 5 in. X 4 in. X 3in. How many of these books did the school receive if
there were 50 large boxes in the shipment?
the first step is figure out how many books fit in one box so here is how to calculate that!
(5 in.) x (4 in.) x (3 in.) (25 in.) x (10 in.) x (12 in.)
=983 milliliters =49 liters
so in that case how many milliliters can go into 49 liters? the answer is this 49,161 so divide that by the volume of the books
20 books should fit in each box
the school got a shipment of 1000 books
I hope this helps sry it took so long big equation oh and.....
\_barb_/
1.1.3. How many litres of milk does Lihle need to make 120 cupcakes? (2)
Lihle would need 30 liters of milk to make 120 cupcakes.
To determine the amount of milk Lihle needs to make 120 cupcakes, we can calculate the total milk requirement by multiplying the milk quantity per cupcake by the number of cupcakes.
Given that the recipe requires 250 milliliters (ml) of milk per cupcake, we can proceed with the calculation:
Convert milliliters to liters:
Since there are 1,000 milliliters in a liter, we divide 250 ml by 1,000 to get the milk quantity per cupcake in liters, which is 0.25 liters.
Multiply the milk quantity per cupcake by the total number of cupcakes: Multiply 0.25 liters (milk per cupcake) by 120 cupcakes.
0.25 liters/cupcake \(\times\) 120 cupcakes = 30 liters.
Therefore, Lihle would need 30 liters of milk to make 120 cupcakes in a US curriculum class.
It's important to note that this calculation assumes the given milk requirement of 250 milliliters per cupcake and does not consider any other ingredients or variations in the recipe.
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The complete question may be like: Assuming that the recipe requires 250 milliliters (ml) of milk per cupcake, how many liters of milk does Lihle need to make 120 cupcakes in a US curriculum class?
What is ? Complete the statement.
is the ratio of the circumference to the ?
rence of a Circle-Instruction-Level G
area
circumference
radius
diameter
of a circle.
The ratio of the circumference of a circle with radius r to its area is 2:r or 2 to r.
Define circleA circle is a two-dimensional shape that is defined as the set of all points in a plane that are at a fixed distance, called the radius, from a given point, called the center. The distance around the circle is called the circumference, and the distance across the circle passing through the center is called the diameter.
The circumference of a circle with radius r is given by the formula:
C = 2πr
The area of a circle with radius r is given by the formula:
A = π×r²
Therefore, the ratio of the circumference of a circle with radius r to its area is:
C/A = (2πr) / (πr²)
Simplifying the expression by canceling out π and r from the numerator and denominator, we get:
C/A = 2/r
Therefore, the ratio of the circumference of a circle with radius r to its area is 2:r or 2 to r.
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The complete question is:
Find the following ratio.
The ratio of circumference of circle with radius r to its area.
please help asap. will mark brainliest.
Answer:
m = 20
b = 25
Step-by-step explanation:
25 is the 'y interpret' which does not change as the hours go on
20 is the 'slope' which refers to a change in value with each increasing hour
Answer:
20=m
25=b
Step-by-step explanation:
This is because
y=mx+b
and 20 is the slop and 25 is the y intercept
Subtract. Express your your answer in lowest terms 21/25 - 7/25
Answer:
14/25
Step-by-step explanation:
If the denominators are the same, subtract the numerators.
21/25-7/25=14/25
14 and 25 do not have any similar factors greater than 1, so we keep it as 14/25.
A random sample of 31 charge sales showed a sample standard deviation o $50. A 90% confidence interval estimate of the population standard deviation is:
A 1715.10 - 4055.68
B 1596.45-4466.73
C 39.96-66.83
D 41.39-63.68
A 90% confidence interval estimate of the population standard deviation is 1596.45-4466.73
We can use the chi-square distribution to construct a confidence interval for the population standard deviation, where the lower and upper limits are given by:
\(\sqrt{(n-1)*s^2/chi2(alpha/2,n-1)) }\) and \(\sqrt{(n-1)*s^2/chi2(1-alpha/2,n-1)}\)
Standard Deviation is a measure that shows how much variation (such as spread, dispersion, spread,) from the mean exists.
Where n is the sample size, s is the sample standard deviation, alpha is the significance level, and chi2 is the chi-square distribution function.
Substituting the given values, we get:
Lower limit
= \(\sqrt{(31-1)*50^2/chi2(0.05/2,31-1)}\)
= 1596.45
Upper limit
= \(\sqrt{(31-1)*50^2/chi2(1-0.05/2,31-1)}\)
= 4466.73
Therefore, a 90% confidence interval estimate of the population standard deviation is 1596.45-4466.73.
Hence, the correct answer is B) 1596.45-4466.73
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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I need help graphing 2x-5y=10
Answer:
Try the desmos graphing calculator:
Step-by-step explanation:
Half of the cars on a train are flat cars. The train has half as many coal cars as flat cars and one-fifth as many passenger cars as coal cars. The remaining 28 cars include engines, a caboose, cattle cars, and others. How many cars does the train have?
On solving the equation for the given situation, there are \(140\) cars in the train.
Let the total number of cars in the train be \(x\).
Half of the cars on a train are flat cars.
So, number of flat cars \(= \frac{x}{2}\).
The train has half as many coal cars as flat cars.
So, number of coal cars \(= \frac{x}{4}\).
The train has one-fifth as many passenger cars as coal cars.
So, number of passenger cars \(= \frac{x}{4}\times \frac{1}{5}=\frac{x}{20}\).
Other cars \(= 28\).
Now, according to question,
\(x=\frac{x}{2}+\frac{x}{4}+\frac{x}{20}+28\)
\(x=\frac{10x+5x+x}{20}+28\)
\(x=\frac{16x}{20}+28\)
\(x-\frac{16x}{20}=28\)
\(\frac{20x-16x}{20}=28\)
\(\frac{4x}{20}=28\)
\(\frac{x}{5}=28\)
\(x=28\times 5\)
\(x=140\)
So, there are \(140\) cars in the train.
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On average, indoor cats live to 13 years old with a standard deviation of 2.4 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(
,
)
b. Find the probability that an indoor cat dies when it is between 11 and 14.6 years old.
c. The middle 30% of indoor cats' age of death lies between what two numbers?
Low:
years
High:
years
These values represent the range within which the middle 30% of indoor cats' age of death lies.
a. The distribution of X is a normal distribution, denoted as X ~ N(μ, σ), where μ represents the mean age at death of indoor cats and σ represents the standard deviation.
b. To find the probability that an indoor cat dies when it is between 11 and 14.6 years old, we need to calculate the area under the normal distribution curve between these two values.
First, we need to standardize the values by subtracting the mean and dividing by the standard deviation. Let's call the standardized values z1 and z2.
z1 = (11 - μ) / σ
z2 = (14.6 - μ) / σ
Using the z-table or a statistical calculator, we can find the corresponding probabilities for these standardized values. The difference between these two probabilities will give us the probability of the cat's age at death being between 11 and 14.6 years old.
Let's say the probability for z1 is P1 and the probability for z2 is P2. Then, the probability we're looking for is P2 - P1.
c. The middle 30% of indoor cats' age of death lies between the lower and upper percentiles. To find these percentiles, we need to locate the z-scores that correspond to the lower and upper percentages.
First, let's find the z-scores for the lower and upper percentiles. The lower percentile will be (1 - 0.30) / 2 = 0.35, and the upper percentile will be 1 - (1 - 0.30) / 2 = 0.65.
Using the z-table or a statistical calculator, we can find the z-scores corresponding to these percentiles. Let's call the lower z-score zL and the upper z-score zU.
zL corresponds to the 0.35 percentile, and zU corresponds to the 0.65 percentile.
Now, we can find the values for the lower and upper percentiles using the z-scores, mean, and standard deviation.
Lower percentile = μ + zL * σ
Upper percentile = μ + zU * σ
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a sine function has an amplitude of 6, a period of pi, and a phase shift of pi/4 . what is the y intercept of the function?
y intercept will be 0,-6 .
Given,
Amplitude = 6
Time period = pi
Phase shift = pi/4
In trigonometry, the sine function can be defined as the ratio of the length of the opposite side(perpendicular) to that of the hypotenuse in a right-angled triangle.
The sine function is used to find the unknown angle or sides of a right angled triangle.
Mathematically,
sinФ = p/h
Now ,
Let us assume the phase shift to be on right side.
So the graph will be at negative y axis.
Thus the points will be 0 , -6 .
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Can u show steps to solve
Which equation could be represented by the number line?
-9+8= -1
9+(-8)=1
-1+(-9) = -10
0 -4+(-5)=-9
Answer:
the 2nd one
Step-by-step explanation:
Sorry if it is wrong
(Score for Question 2: ____ of 7 points) 2. Aisha and Jordan do some research to find out the prices and sizes of carpet tiles and rugs for the floor of the treehouse. Carpet Tiles Rugs • Each square tile has a side length of 1.5 feet. • They can only use whole tiles. • Each tile costs $5.75. • Each 3 feet by 5 feet rug costs $35.99. • Each 4 feet by 6 feet rug costs $55.99. (a) How many carpet tiles do they need to cover as much of the floor as possible? You can use the grid to help you. Each square on the grid has a side length of 1 foot. What is the area of the greatest amount of floor they can cover with carpet tiles?
Aisha and Jordan need 63 carpet tiles to cover the maximum amount of floor with the whole tiles.
To find the area of the greatest amount of floor that can be covered with carpet tiles, we need to figure out how many tiles can fit in that area. Since each tile has a side length of 1.5 feet, we can divide the grid into squares with side lengths of 1.5 feet to see how many tiles can fit.
Dividing the grid in this way, we can see that the area of each square is 2.25 square feet (1.5 ft x 1.5 ft). To find the maximum area that can be covered with whole tiles, we need to find the dimensions of the largest rectangle that can be formed using these squares.
In the grid, the longest side that can be formed using whole tiles is 9 squares long (13.5 feet), and the shortest side that can be formed using whole tiles is 7 squares long (10.5 feet). Therefore, the maximum area that can be covered with whole tiles is:
Area = Length x Width = 13.5 ft x 10.5 ft = 141.75 square feet
To find out how many tiles are needed to cover this area, we need to divide the area by the area of each tile:
Number of tiles = Area / Area of each tile = 141.75 sq ft / 2.25 sq ft per tile = 63 tiles
Therefore, Aisha and Jordan need 63 carpet tiles to cover the maximum amount of floor with the whole tiles.
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I need help asap, giving 30 points and brainiest!
Answer:
\(x=11\)
Step-by-step explanation:
It is a linear pair
\(7x + 12 + 8x + 3 = 180\)
\(15x + 15 = 180-15\\15x = 165\)
\(x=11\)
helo me right answers only. algbera
The function with y-intercept as 1 is h(x) = 0.5(2)ˣ + 0.5.
How to find the function using the y-intercept?The y-intercept is the point where the graph intersects the y-axis. In other words, the y-intercept of a function is the value of y when x = 0.
Therefore, let's find the function with y-intercept as 1.
Hence,
h(x) = 0.5(2)ˣ + 0.5
Let's make x = 0 to check if the value of y = 1
Therefore,
h(x) = 0.5(2)ˣ + 0.5
h(0) = 0.5(2)⁰ + 0.5
h(0) = 0.5(1) + 0.5
h(x) = 0.5 + 0.5
h(x) = 1
Therefore, the function with y-intercept as 1 is h(x) = 0.5(2)ˣ + 0.5
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if f is a function from R to R such that f(x)f(y)=f(x+y)+f(z-y) and f(1)=3, then what is the value of f(7)?
I suppose you mean
\(f(x) f(y) = f(x + y) + f(x - y)\)
Let \(x=1\) and \(y=0\). Then
\(f(1) f(0) = f(1 + 0) + f(1 - 0) \implies f(1) f(0) = 2 f(1) \implies f(0) = 2\)
Now if we fix \(y=1\), the functional equation reduces to the recurrence relation
\(f(x) f(1) = f(x + 1) + f(x - 1) \implies f(x+1) - 3f(x) + f(x-1) = 0\)
and we can find \(f(7)\) with a few rounds of substitution.
\(x=1 \implies f(2) - 3f(1) + f(0) = 0 \implies f(2) = 3f(1) - f(0) = 7\)
\(x=2 \implies f(3) - 3f(2) + f(1) = 0 \implies f(3) = 3f(2) - f(1) = 18\)
\(x=3 \implies f(4) - 3f(3) + f(2) = 0 \implies f(4) = 3f(3) - f(2) = 47\)
\(x=4 \implies f(5) - 3f(4) + f(3) = 0 \implies f(5) = 3f(4) - f(3) = 123\)
\(x=5 \implies f(6) - 3f(5) + f(4) = 0 \implies f(6) = 3f(5) - f(4) = 322\)
\(x=6 \implies f(7) - 3f(6) + f(5) = 0 \implies f(7) = 3f(6) - f(5) = \boxed{843}\)
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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Need help ASAP due in 7 minutes
Will make you brainlist
Answer:
A
Step-by-step explanation:
A is the only answer with ordered pairs that have a consistent rate of change, -1/3
number 27 please.. i can not figure it out.
Answer: x=-12
Step-by-step explanation:
To solve for x, you want to use algebraic properties to isolate x.
\(\frac{x}{4}=2+\frac{x-3}{3}\) [subtract both sides by \(\frac{x-3}{3}\)]
\(\frac{x}{4}-\frac{x-3}{3}=2\) [get common denominator]
\(\frac{3x}{12} -\frac{4x-12}{12} =2\) [subtract]
\(\frac{-x+12}{12} =2\) [multiply both sides by 12]
\(-x+12=24\) [subtract both sides by 12]
\(-x=12\) [divide both sides by -1]
\(x=-12\)
Now, we know that x=-12.
A bus makes a stop at 2:30 letting off 12 people
What's the question?
change to mixed number
42/8
Answer:
42/8= 5 2/8
explanation:
8*5=40 42-40=2
therefore
42/8= 5 2/8
Answer:
\(5 \frac{2}{8} \)
Step-by-step explanation:
Basically, mix number is formed by 3 parts,
They are,
* A whole number
* A numerator
* A denominator
Now lets write this number as a mix number,
First simply divide 42 by 8
\( \frac{42}{8} = 5\)
\(remainder = 2\)
Now you can write the remainder as a fraction,
\( \frac{2}{8} \)
And now you can write the mix number like this,
\(5 \frac{2}{8} \)
Hope this helps you.
Let me know if you have any other questions :-)
6 cm
8 cm
8 cm
12 cm
The perimeter of the polygon above is
Answer:
12 cm !!!
hope you mark me bainliest or your friend
Simplify.
I need the answer to the question above.
Answer:
Third answer.
Step-by-step explanation:
To simplify, we can factor 'x' from the equation, giving us:
\(\frac{x(1)}{x(4 + x)} = \frac{1}{x+4}\)
However, we must put a domain restriction to ensure that the denominator will not equal 0. This means that 'x+ 4' cannot equal zero. Therefore, x ≠ -4.
The third answer is correct.
PLS HELP ME PLSS!!!!! ; _ ;
Answer:
a) P(not red) = 37/49
b) P(purple) = 17/49
Step-by-step explanation:
Prob. of not red = (20+17) / (12+20+17) = 37/49
Adam's school is 12 miles from his house. It takes his older brother 20 minutes to drive him school. Adam spilled his orange juice his morning, and so they left the house two minute late than usual. How much time does his brother to day to dive him to school?
Answer:
Well, if it is 20 min usual, then 22 minutes if they left 2 minutes late
Step-by-step explanation:
did you miss part of the question while typing?
25ft long 10 Ft tall 12 ft wide. Find volume in cubic yards
The volume of the rectangular prism is given as follows:
344 cubic yards.
How to obtain the volume of the rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:
Volume = length x width x height.
Each ft is composed by 1/3 yards, hence the dimensions in yards are given as follows:
25/3 = 8.33 yards.10/3 = 10.33 yards.12/3 = 4 yards.Hence the volume of the prism, in cubic yards, is given as follows:
V = 8.33 x 10.33 x 4
V = 344 cubic yards.
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Which expression are equivalent
Answer:
OPTION A and D
-80x+28y -56
4(-20x+7y-14)
the pie pan has a radius (r) of 6 inches. This is the distance format he center to the outside edge. Use the formula C = 2 x π x r to find the circumference (C). This is the distance around the outside of the pan. The number π equals 3.14.
The distance around the outside of the pan is the circumference of the pan, which is about 37.68 inches
What is the circumference of a circle?The circumference of a circle is the distance of the path around the outer part of the circle. The circumference of a circle is the length of a circle's boundary.
The circumference of a circle can be calculated using the formula;
C = 2·π·rWhere;
C = The circumference
r = The radius of the circle
π = A mathematical constant, which is the ratio of the circumference of a circle to the circle's diameter ≈ 3.14
The circumference of a circle can also be calculated using the diameter, d of the circle as follows;
C = π·d
The formula for the circumference of the pie pan, C = 2 × π × r, where;
r = The radius of the pie pan = 6 inches
π = 3.14
The specified formula indicates that we get;
The circumference of the pie pan, C = 2 × 3.14 × 6 inches = 37.68 inches
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Hello!! I need help calculating the coordinates where these lines overlap. I have the answers, but I don't understand how to get there. I'm hoping you can show me your work! :)
Here's the first two:
\(-\left[\frac{2\left(x-400\right)^{2}}{800}-\frac{3\left(y-340\right)^{2}}{900}\right]=1\)
\(\frac{.08\left(x-380\right)^{2}}{10^{2}}-\frac{22\left(y-300\right)^{2}}{500^{2}}=1\)
the coordinate answers for this one should be (415.85, 317.9)
The second two are:
\(y=.3\left(x-230\right)^{2}+30\)
\(\frac{11\left(x-220\right)^{2}}{60^{2}}+\frac{11\left(y-40\right)^{2}}{30^{2}}=1\)
which should have a coordinate answer of (222.044, 48.987)
Thanks so much for your hard work!!!
Answer:
A common fraction is a fraction whose denominator is the same with another fraction.
$$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}
The expression is given as:
$$$\sqrt{x} \div\sqrt{y}$$
Express as fraction
$$$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}$$
Rewrite as a common fraction
$$$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}$$
Hence, $$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}
Answer:
Ask your teacher. sorry, this is so hard
You are traveling in a car. Your speed is 30 miles per hour. What is your speed in feet per minute?
Answer:
.5
Step-by-step explanation:
30 miles a hour divide by 60 so your going half a mile a minute
Your speed in feet per minute is 2640 ft/min.
What is unit rate?A unit rate means a rate for one of something.
Given that, Your rate of speed is 30 miles for every 1 hour
We know, 1 mile = 5280 feet
Therefore, 30 miles = 30x5280 = 158400 feet
That means, you are travelling 158400 feet for every hour
In an hour, there are 60 minutes,
Therefore, you are travelling 158400 feet in every 60 minutes.
In 60 minutes = 158400 feet
In 1 minute = 158400/60 = 2640 feet
That means you are travelling 2640 feet in every 1 minute.
Hence, your speed in feet per minute is 2640 ft/min.
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