18 blocks would fit in the Crate.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
Volume of Crate= 2160 cubic inch
Now, Volume of each wooden board
= l b h
= 12 x 5 x 2
= 120
so, number of blocks = 2160/ 120
= 18
Hence, 18 blocks would fit in the Crate.
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Luke can fit 18 wooden boards, each measuring 12 inches in length, 5 inches in width, and 2 inches in height, into the crate with dimensions 12 inches in length, 10 inches in width, and 18 inches in height.
Given that the crate has a volume of 2160 cubic inches and the dimensions are 12 inches in length, 18 inches in height, and an unspecified width.
Each wooden board has dimensions of 12 inches in length, 5 inches in width, and 2 inches in height, we can calculate how many wooden boards Luke can fit into the crate.
Let's denote the width of the crate as "w".
The volume of the crate is given by the formula: Volume = Length × Width × Height
So, 2160 = 12 × w × 18
Solving for "w":
w = 2160 / (12 × 18)
w = 10
Now that we know the width of the crate is 10 inches, we can calculate how many wooden boards can fit in the crate by comparing their dimensions.
Each wooden board has a volume of 12 × 5 × 2 = 120 cubic inches.
The total number of wooden boards that can fit in the crate:
Number of boards = Crate Volume / Board Volume
Number of boards = 2160 / 120
Number of boards = 18
Therefore, 8 blocks would fit in the Crate.
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Which shows the expression below in simplified form?
(5 × 105) × (6 × 10-2)
Answer:
30450.
Step-by-step explanation:
Not sure what you meant by simplify? Hope this helps.
Gate Elementary has 900 registered
students. Gate Middle has 483 registered
students. How many more students are
registered at the elementary school than
the middle school?
Answer:
417
Step-by-step explanation:
900-483=417
+5 when
2. What is the value of f(x)=2x +
X=4?
A А.
2
el ind
B 7
C 9
D 13
Answer:
B. 7
Step-by-step explanation:
[tex] \frac{1}{2} \times 4 + 5 = 7 \\ sub \: in \: 4 \: into \: the \: equation[/tex]
Asking again cause some idiot broke my other question, What is the equation of the following graph in vertex form?
parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity
Courtesy of Texas Instruments
y = (x − 4)2 − 4
y = (x + 4)2 − 4
y = (x + 2)2 + 6
y = (x + 2)2 + 12
Answer:
Hi there!
The vertex form equation is y=a(x-d)^2+c where the vertex is (d, c).
The vertex is always the turning point when the y-values start to travel in the opposite direction from which they began traveling on the opposite side of the turning point. Therefore the point (4, -4) is the vertex.
y=a(x-4)^2-4
We can sub in a point on the graph in order to solve for the a-value. Let's use (6, 0), and sub that in for x and y.
0=a(6-4)^2-4
0=a(2)^2-4
4=4a
a=4/4
a=1
Therefore the equation is y=(x-4)^2-4
Hope this helps!
Step-by-step explanation:
5√162−3√8 to its simplest form
Answer:
I think it is this one:
39√2
The simplest form of 5√162−3√8 is 39√2 or 55.146
What is simplification?
Simplification or simplifying fractions way to simplify a complex mathematical expression to get an unmarried or direct answer.
Calculation:-
⇒5√162−3√8
⇒5*12.72-3*2.83
⇒63.6-8.49
⇒55.146
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What is the result when the number 40 is decreased by 50%
Answer:
20
Step-by-step explanation:
40 x 50% = 20
So 50% of 40 equals to 20. Now, since it says decreased by 50%, we have to subtract 20 from 40 because we already know that 20 is the 50%. So 40 - 20 gives you 20.
Three friends split the cost of dinner dinner was 24.18 how much did each friend spend
Answer:
8.06
Step-by-step explanation:
24.18 divided by 3
How many lines of symmetry does the shape have? Enter the answer in the box.
Point A is (5, 7).
Point B is (x, y).
The midpoint of AB is (17,-4).
What are the coordinates of B?
A. (22,-9)
B.(12,-11)
C. (29.-15)
D. (8.5,-2)
The coordinate of point B is at (29, -15): Option C is correct.
The formula for calculating the midpoint of two points is expressed as:
[tex]M(x, y) = {\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2}}[/tex]
Given the coordinate points
A is (5, 7).
B is (x, y).
M is (17, -4)
Substituting into the formula to get x and y
17 = 5+x/2
5+x = 34
x = 34 - 5
x = 29
Get the value of y. Similarly;
-4 = 7+y/2
-8 = 7+y
y = -8-7
y = -15
Hence the coordinate of point B is at (29, -15)
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(8,-2) after a translation right 5 units and up 2 units?
Whats the answer
Answer:
（13,0)
translation：
[tex]( \frac{5}{2} )[/tex]
Please help me solve this ASAP
Mike is planting flowers in plastic cups for his science fair project. Each of the cups is filled to the top with a mixture of soil, fertilizer, mulch, and sand in different proportions. Each cup contains 1/2 cup of soil, 1/3 cup of fertilizer, and 1/8 cup of mulch. How much sand should he use to fill the cup?
PLZ HURRY
Answer:
He will need 1/8 of sand to fill the cup
Step-by-step explanation:
For 1/2 i filled half of the cup for 1/3 i made new cup split it in 3 and added it in main cup then for 1/8 made a new cup split it in 8 and added it to main cup the test is sand.
Y-k = m(x-h) solve for m
Answer:
Simplifying
y + -1k = m(x + -1h)
Reorder the terms:
-1k + y = m(x + -1h)
Reorder the terms:
-1k + y = m(-1h + x)
-1k + y = (-1h * m + x * m)
-1k + y = (-1hm + mx)
Solving
-1k + y = -1hm + mx
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-1y' to each side of the equation.
-1k + y + -1y = -1hm + mx + -1y
Combine like terms: y + -1y = 0
-1k + 0 = -1hm + mx + -1y
-1k = -1hm + mx + -1y
Divide each side by '-1'.
k = hm + -1mx + y
Simplifying
k = hm + -1mx + y
Step-by-step explanation:
1. Which two properties are needed to solve the equation 8.5d + 7.5 = 100 + 3?
Distributive property and division property of equality
Subtraction property of equality and division property of equality
Distributive property and collecting like terms property
Addition property of equality and division property of equality
Answer:
B. Subtraction property of equality and division property of equalityStep-by-step explanation:
Given equation:
8.5d + 7.5 = 100 + 3Step 1, subtract 7.5 from both sides:
8.5d = 103 - 7.5Step 2, divide both sides by 8.5:
d = 95.5/8.5Correct answer choice is B
Answer this question please
Answer:
1/8362
Step-by-step explanation:
Student picked at random/Number of students
90000000000 in standard form???
Determine the measure of the indicated
exterior angle in the diagram.
Answer: 110 degrees
Triangle sum theory tells us that all the internal angles are equal to 180.
Meaning, we can solve 2x+3x+3x+4=180 for x
x=22
Then solve for 3x+4, which equals 70.
Last step, take 70 from 180 to find the external angle!
110 :)
Answer:
Exterior angle is equal to 110
Step-by-step explanation:
So to find the exterior angle, you must find the interior angle first.
You know that all 3 angles within the triangle must equal to 180 degrees, so what we can do is set up this equation to reflect that statement:
2x+3x+(3x+4) = 180
Group like terms:
8x+4=180
Solve for x:
8x = 176
x = 22
We can double check to see this matches up with all of the other angles inside:
2x = 44
3x = 66
3x+4 = 70
44 + 66 + 70 = 180
We also know that a straight line is 180 degrees
So, ? = 180 - 70
? = 110 degrees
GIVING BRAINLIEST, BUT MUST EXPLAIN
Billy wants to put a fence around his triangular garden. He has two pieces of wood measuring 9 feet and 14 feet. What is the smallest piece of wood he can purchase to create the garden?
Answer:9 ft
Step-by-step explanation:
It would be 9 ft because that's the smallest piece of wood he can use
Figures A-G are all images of figure W. Which figures can you
not map figure Wonto using a single rotation around a vertex
translation, or reflection across the x-or y-axis? Select all
that apply
A figure A
B figure B
C figure
D figure D
E figure E
F figure F
G figure G
Answer:
figure d
Step-by-step explanation:
it is the smartes and most common answer
Ummm how do you do this two questions?
Answer:
Here are the formulae you need. Just plug in the values you have and you will get your answers.
Area of a triangle: 1/2*base*height
Volume of a rectangular prism: length*width*height
Volume of a cylinder: pi*r^2*height
Step-by-step explanation:
Help me please!!! It’s due at 11:59
Answer:
18
Step-by-step explanation:
Let the required number be x.
Step 1write the expression for the difference of the number and 4.
=> x - 4
Step 2the question equates 5 times the difference with some other terms, so find the equation for 5 times the difference.
=> 5( x - 4)
Step 3The equation in Step 2 is said to be equal to "two less than four times the number".
Find the expression for four times the number
=> 4x
Step 4Find the expression for two less than 4x.
=> 4x - 2
Step 5Equate the terms that it says are equal:
=> 5(x - 4) = 4x - 2
distributing 5 within the parenthesis:
=> 5x - 20 = 4x - 2
taking like terms on one side:
=> 5x - 4x = 20 - 2
(the sign carried by the terms get inverted while changing their sides)=> x = 18
and x was the required number, so the answer Is 18.
Every practice session at Kurt's
rink costs $5.00. Kurt goes to 4
sessions a day, 6 days a week.
How much does he spend each
week on ice time?
What is 4^3 written in expanded form?
Answer:
64
Step-by-step explanation:
4^3, means 4*4*4, and it is very simple to calculate when you break it down to 4*4= 16 and then 16*4=64. So your final answer is 64.
PLEASE ANSWER I WILL GIVE A THANKS AND BRAINLIEST!!!<3
Answer: I HAVENT FINISHED THIS
Step-by-step explanation:
ILL BE BACK
Answer:
Step-by-step explanation:
Not sure if you're being lazy or something these questions are ridiculously easy...
27) f-3
28) j-9
29) m-10
30) d/2
31) x-17
32) 7/18
33) a. 3-s b. 3+d
34) a. r+5 b. e-5
35) a. g-12 b. b+12
36) a. 12+s b. L-12
Consuelo is buying flavored coffee and plain coffee. The total amount of money she spends on coffee is T = 5.50p + 7f, where "p" represents the cost of a package of plain coffee and "f" represents the cost of a package of flavored coffee.
a. If Consuelo has $40 to spend on coffee, describe the constraints on the formula.
b. Solve for f.
c. If Consuelo needs to buy 3 packages of plain coffee, what is the maximum number of packages of flavored coffee she can buy?
A linear equation can have one or more variables.
The constraints on the formula are the costs of plain coffee and cost of flavored coffeeThe equation of f is: [tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex].The maximum number of packages of flavored coffee she can buy is 3The function is given as:
[tex]\mathbf{T = 5.50p + 7f}[/tex]
(a) The constraints when T = 40
Substitute 40 for T in [tex]\mathbf{T = 5.50p + 7f}[/tex]
[tex]\mathbf{5.50p + 7f = 40}[/tex]
The variables in the above equation are p and f
Hence, the constraints are the cost of a package of plain coffee and the cost of a package of flavored coffee
(b) Solve for f
In (a), we have:
[tex]\mathbf{5.50p + 7f = 40}[/tex]
Subtract both sides by 5.50p
[tex]\mathbf{7f = 40 -5.50p }[/tex]
Divide both sides by 7
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
Hence, the equation of f is:
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
(c) The maximum number of flavored coffee when she buys 3 packages of plain coffee
In (b), we have:
[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]
Substitute 3 for p
[tex]\mathbf{f = \frac{40 -5.50 \times 3}7 }[/tex]
[tex]\mathbf{f = \frac{40 -16.50}7 }[/tex]
[tex]\mathbf{f = \frac{23.5}7 }[/tex]
Divide
[tex]\mathbf{f = 3.36 }[/tex]
Remove the decimal part (do not approximate)
[tex]\mathbf{f = 3 }[/tex]
Hence, the maximum number of packages of flavored coffee she can buy is 3
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What is the difference?
+1
X4 2 2 + 2x
24-1
C
** + 2)
0
2 + 4 +1
* X+ 2)
4
C
-1x2 + X-2)
(-
2 + 6 +1
* * * 2)
++
Answer:
nothing DONT worry pop lollll
A rectangular shop in the mall is 10 meters long and 5 meters wide. What is its area?
Answer:
it would be 80 meters
Step-by-step explanation:find the area and multiply width x length
Please help!!!Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per second. Round your answer to the nearest tenth.
Answer:
30 cups/second
Step-by-step explanation:
620 gallons = 9,920 cups
5.5 minutes = 330 seconds
9,920/330 = ~30
11/8+(-11/10)=
Plz, I don't know the answer.
Answer:
11/40
Step-by-step explanation:
If your answering in fraction and not in decimal this is how you do it:
1. Get rid of the brackets surrounding -11/10. You do this by multiplying the positive sign (+) by the negative sign (-) in front of 11. Now the rule says that multiplying a positive with a negative always gives you a negative therefore your fraction in the brackets will remain negative while removing the plus sign. Now your problem should look like this: 11/8-11/10.
2. Finding the common multiple of the denominators. You can't just minus the fractions unless the denominators are the same. To do this you first have to find the lowest common multiple (lcm) of denominators 8 and 10. You can list 5 multiples for each to find this or more depending on how many multiples you need to reach the lcm.
8= 8,16,24,32,40,48,etc.
10=10,20,30,40,50,etc.
The lcm for 8 and 10 is 40.
3. Change the fractions to substitute the new value of the denominators in. To do this you have to multiply the fractions. For example, multiply 11/8 by 5/5 to get 55/40(11×5/8×5). Do the same for the second fraction: 11/10×4/4(11×4/10×4) which gives 44/40.
4. Now finally just minus which is just 55/40-44/40 and your answer will be 11/40. Minus the numerators only not the denominators.
I'm not really good at explaining but I hope this helped
The questions is - What is the slope intercept? Then convert your answer to standard form.
please help me Im pretty sure the slope intercept is y=1 but I dont know what that would be as standard form would be
Answer:
y=1
Step-by-step explanation:
You're correct also graphed so you can see your answer is right
The graph is undedefined because it doesn't have a X and continues straight on one point. So for standard for you would put Y=1/undefined or just undefined