A shipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box? 15 in. 20 in. 300 in. 600 in.
The height of the shipping box in the shape of a rectangular prism is 15 inches
How to determine the height of the box?The given parameters are:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
The height of the prism is then calculated using:
Height = Volume/Base Area
So, we have:
Height = 9000/(20 * 30)
Evaluate
Height = 15
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches
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x-y=5
3x+y=3 can you pleas help me find x and y
Answer:
x= 2, y= -3
Step-by-step explanation:
Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!
x -y= 5
Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.
x= y +5 -----(1)
3x +y= 3 -----(2)
Substitute (1) into (2):
3(y +5) +y= 3
Expand:
3y +15 +y= 3
4y= 3 -15
4y= -12
y= -12 ÷4
y= -3
Substitute y= -3 into (1):
x= -3 +5
x= 2
the volume of the cylinder is 225π and the height is 27cm what is the radius of the cylinder
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=27\\ V=225\pi \end{cases}\implies 225\pi =\pi r^2(27)\implies \cfrac{225\pi }{27\pi }=r^2 \\\\\\ \cfrac{25}{3}=r^2\implies \sqrt{\cfrac{25}{3}}=r\implies \cfrac{\sqrt{25}}{\sqrt{3}}=r\implies \cfrac{5}{\sqrt{3}}=r\implies 2.89\approx r[/tex]
How do I factor this polynomial?
(30x^3 + 15x^2 + 45x)
Answer:
Step-by-step explanation:
Answer: [tex]15x(2x^2+x+3)[/tex]
Step-by-step explanation:
[tex](30x^3 + 15x^2 + 45x)[/tex]
1. factor out 15x
[tex]15x(2x^2+x+3)[/tex]
Six workers are hired to harvest blueberries from a field. each is given a plot with an area of 84 ft2. which equation will tell you the total area of the blueberry field
The equation that represents the total area of the blueberry field will be y = 84x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Six workers are hired to harvest blueberries from a field.
Each is given a plot with an area of 84 square ft.
Then the equation that represents the total area of the blueberry field will be
Let x be the number of workers and y be the total area field. Then we have
y = 84x
Then the area of the total field will be
y = 84 (6)
y = 504 square ft
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Write 75 as a product of primes. Use index notation when giving your answer.
Answer:
3 times 5 times 5
A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I. What is
P(not A)?
8/9
2/3
1/3
1/9
The probability of the spinner not occurring A will be 8/9. Then the correct option is A.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I.
Then the probability of not occurring A will be
The total event will be
Total events = 9 {A, B, C, D, E, F, G, H, I}
The favorable event will be
Favorable events = 8 {B, C, D, E, F, G, H, I}
Then the probability will be
P = 8/9
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Jordan fills several bags of oranges . This line plot shows the wait of each bag.
How many more pounds does one of the heaviest bags weigh more than one of the lightest bags.
Enter your answer as a fraction in simplest form by filling the boxes.
Answer: 1 1/8 or 9/8
Step-by-step explanation:
5 1/2-4 3/8= 1/ 1/8
help me pease it my end of the year grade
Answer:
3k+1
Step-by-step explanation:
Answer:
The correct answer is 3k + 1
Step-by-step explanation:
Hope this helps:) Goodluck!
What is the answer please?
Answer: B (middle option)
Congruent; a counterclockwise rotation of 90° followed by a translation
Step-by-step explanation:
Rotating the triangle 90° makes point A face the left. Translating the triangle to the right afterward (and maybe a little in some other directions) would map it onto the second triangle.
Which is following answer is the correct hypotenuse?
Answer:
(c) x = 15.26
Step-by-step explanation:
a² + b² = c²
8² + 13² = c²
64 + 169 = c²
c² = 233
c = 233 ½
c = 15.26
if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?
What is the prime factorization of 120?
Answer:
2 to the power of three × 3 × 5
Step-by-step explanation:
A classroom floor is 20 metres wide.
If the total area of the floor is 300 square metres, how long is it?
Answer:
It is 15 m long.
Step-by-step explanation:
Given
width (b) = 20 m
Area of the floor (A) = 300 m^2
Length (L) = ?
we know
A = L * b
300 = L * 20
L = 15 m
Hope it will help :)
7/11 of a class walk to school. What fraction of the class did not walk to school
Answer:
4/11 of the class did not walk to school.
Step-by-step explanation:
11/11 - 7/11 = 4/11
The graph shows how the annual budget for a company is divided by department. Use this graph to answer the questions below
Answer: a) the answer is engineering
Step-by-step explanation:
because since it is a circle, it's out of 360 degrees, and 1/4 means first you divide 360 with 4, and you get 90. So, i checked which department is exactly 90 degrees and saw that engineering is 90 degrees
Find the area of the figure. Show work and explain please.
Answer:
464 units²
Explanation:
Part A
Length × Width = 8 × 16 = 128 units²
Part B
Length × Width = 24 × 8 = 192 units²
Part C
Length × Width = 12 × 4 = 48 units²
Part D
Length × Width = 24 × 4 = 96 units²
Total Area: 128 + 192 + 48 + 96 = 464 units²
Answer:
464 units²
Step-by-step explanation:
The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.
(see attached diagram)
Total area of the rectangle = width × length
= 24 × (16 + 4 + 4)
= 24 × 24 ← the shape is actually a square!
= 576 units²
Missing Area 1
Top left square = 8 × 8
= 64 units²
Missing Area 2
Bottom right rectangle = 4 × 12
= 48 units²
Total area = area of rectangle - missing area 1 - missing area 2
= 576 - 64 - 48
= 512 - 48
= 464 units²
plis help me!!!!!!!!!!!!!! it is very difficult for me
Answer:
See below ~
Step-by-step explanation:
Kindly note the 2nd equation in the above question formed will be :
2x + 4y = 20
The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :
x (number of chickens) = 6y (number of sheep) = 2inserts a digit to make numbers that are divisable by 24 if its possiable 38_36
Answer:
168
Step-by-step explanation:
A consumer takes a loan of $150,000 to be repaid in monthly constant installments over 10 years. the nominal interest rate compounded monthly for this loan is 3.6331%.
Answer:
$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million
seams very unrealistic lol
Answer:$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million
Eric and bianca are drawing a model of a city park in the cordinate
For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
What is a Coordinate system?In the are of math and geometry, a coordinate system is known to be a kind of a system which is known to often uses a lot of numbers or only one to show the position of any given points.
Note that to be able to design the part to their taste and with the right coordinates, For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
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Answer:
Vertex Q has an x-coordinate of 7. To form quadrilateral QRST, vertex T must be 3 units down from vertex Q. Vertex T should be at (7,3) .
Bianca is correct.
Step-by-step explanation:
Hope this helps.
Find the surface area of the figure below:
2. Find the variation constant and an equation of variation where y varies inversely as x and y=9 when x=2.
Answer: y=108
Step-by-step explanation:
Answer:
k = 4.5
y = 4.5x
Step-by-step explanation:
Finding the variation constant, k :
k = y/xk = 9/2k = 4.5Equation of variation :
y = kxy = 4.5xGrady's father is building a 15-meter fence with the start of the fence at coordinates (8,5) and the midpoint of the fence at coordinates
(3.5,-1). What are the coordinates of the other end of the fence
Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The midpoint of a segment is the mean of the coordinates of the endpoints, hence:
[tex]3.5 = \frac{x + 8}{2}[/tex]
x + 8 = 7
x = -1.
[tex]-1 = \frac{y + 5}{2}[/tex]
y + 5 = -2.
y = -7.
The coordinates of the other end of the fence are (-1,-7).
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A number is given three successive discounts of 20%, 25% and 20%; Three successive increases of 20%, 25% and 20% are made to the resulting number, resulting in a number that differs from the original by 408 units. Calculate the original number.
Answer:
3000
Step-by-step explanation:
The multiplier associated with each percentage change (p) is (1 +p). We can use this fact to relate the original number to the modified number.
__
discounted numberLet x represent the original number. Then the discounted number is ...
x(1 -20%)(1 -25%)(1 -20%) = x(0.8)(0.75)(0.8) = 0.48x
increased numberAfter those discounts, the increased number is ...
(0.48x)(1 +20%)(1 +25%)(1 +20%) = (0.48x)(1.2)(1.25)(1.2) = 0.864x
differenceThe difference from the original is ...
x - 0.864x = 408
0.136x = 408 . . . . simplify
x = 3000 . . . . . . . divide by the coefficient of x
The original number was 3000.
find the area of the circle. give your answer in terms of ir and as decimals rounded to nearest square foot. use 3.14 for ti. the diameter of a circle is 40 feet
Answer:
The answer to this is 1,256
f(x)=2x-3 and g(x)=x^2+1, find g(f(x))
Answer:
f(x)=2x-3, substitute the expression for g(x) in f(x)
f(x) = 2(x^2 + 1) - 3
f(x) = 2x^2 + 2 - 3
f(x) = 2x^2 - 1
which statement about a parallelogram is true?
some parallelograms have side lengths that are all different
all parallelograms have opposite sides that are parallel.
all parallelograms have 4 square corners
some parallelograms have more than 4 sides
giving brainiest
Step-by-step explanation:
all parallelograms have opposite sides that are parallel.
that is the only true statement.
NEED HELP PLEASE WHAT IS THE NUMBER IN THE QUESTION MARK
Answer:
i thing it is 2,if i wrong so sorry
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. If the front wheel of a penny-farthing has a diameter of 56 inches and the back wheel has a diameter of 14 inches, how many turns does the back wheel make when the penny-farthing travels 100 yards? Use 3.14 for pi.
Answer:
81.9 turns
Step-by-step explanation:
100 yd = 36 × 100 in. = 3600 in.
C = πd
C = 3.14 × 14 in. = 43.96 in.
3600/43.96 = 81.9
Answer: 81.9 turns