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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You are given that a = 6.54 (to 3 significant figures) and b = 123 (to 3 significant figures).
Calculate upper and lower bounds for each of the following, give your answers to 3 significant figures:
(a) a + b
(b) ab
(c) a/b
(d) b - 1/a
The upper and lower bounds for the numbers are illustrations of approximation
How to calculate the upper and lower boundsThe numbers are given as:
a = 6.54 (to 3 significant figures)
b = 123 (to 3 significant figures)
(a) a + b
We have:
a + b = 6.54 + 123
a + b = 129.54
When approximated, the bounds to three significant digits are:
Lower bound = 129
Upper bound = 130.1
(b) ab
We have:
ab = 6.54 * 123
a + b = 804.42
When approximated, the bounds to three significant digits are:
Lower bound = 804
Upper bound = 805
(c) a/b
We have:
a/b = 6.54/123
a/b = 0.0531707317
When approximated, the bounds to three significant digits are:
Lower bound = 0.0531
Upper bound = 0.0532
(d) b - 1/a
We have:
b - 1/a = 123 - 1/6.54
b - 1/a = 122.847094801
When approximated, the bounds to three significant digits are:
Lower bound = 122
Upper bound = 123
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What is the quotient of −112÷2 1/3 ?
Answer:
-48
Step-by-step explanation:
−112÷2 1/3 needs to be rewritten as -112 / (7/3), where 7/3 is the improper fraction version of 2 1/3.
Then we have
-112
---------
7/3
Recall that division by a fraction is equivalent to multiplication by the reciprocal of the fraction; thus, the above expression becomes
-112 * 3
-----------
7
This, in turn, can be reduced through division to -16*3, which equals -48.
The ratio of shirts to pants is 3 to 2. If there are 6 shirts, how many pants are there?
12
6
4
9
Answer:
4
Step-by-step explanation:
Two thirds of 3 is 2 and two thirds of 6 is 4, Hope this helps :)
Answer:
4
Step-by-step explanation:
Given:
The ratio is shirts to pants 3:2.
That means for every 3 shirts, there is 2 pairs of pants.
Therefore, your answer would be 4.
What is 39.2÷2? equal to?
Answer:
19.6 is the correct answer
Answer:
19.6
Step-by-step explanation:
39.2/2
19.6
15 friends sold the same number of tickets each. They sold x tickets altogether. How many tickets did each of them sell?
Answer:
hhgfghgffgtfhhjjjjhhfsadsdffbnjghdrr
Answer:
Hey man im not very smart
Step-by-step explanation:
12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission
Answer:
$3063.6
Step-by-step explanation:
72% of $4,255 = $3063.6
The formula for finding percents is number x percent ÷ 100.
4,255 x 72 ÷ 100 = 3063.6
Find the value of x.
Answer:
x = 25
Step-by-step explanation:
Internal angles of a triangle = 180 degrees
So knowing this we can form the following equation
(x + 26) + (x + 14) + (4x - 10) = 180
Simplify
(x + x + 4x) + (26 + 14 - 10) = 180
6x + 30 = 180
Rearrange for x
6x = 180 - 30
6x = 150
x = 25
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
According to angle sum property of the triangle, we can say that :
[tex](x + 26) \degree + (4x - 10) \degree + (x + 14) \degree = 180 \degree[/tex][tex]x + 4x + x + 26 \degree - 10 \degree + 14 \degree = 180 \degree[/tex][tex]6x + 30 \degree = 180 \degree[/tex][tex]6x = 180 \degree - 30 \degree[/tex][tex]6x = 150 \degree[/tex][tex]x = \dfrac{150 \degree}{6} [/tex][tex]x = 25 \degree[/tex]AYUDA PLSS
es de math y es para ahoritaa
Answer:
c 3×10⁹
Step-by-step explanation:
because the answer is 3000000000
Math?? anybody somebody please help
100 points worth
Answer:
c
Step-by-step explanation:
2^4=16
(16-8)/16=8/16=1/2
Iv'e been stuck on this question pls help
Plz help due tonight
Answer:
[tex]4x + 8 = 2x + 3 + 51 \\ 4x - 2x = 54 - 8 = 46 \\ 2x = 46 \\ x = 46 \div 2 = 23 \\ 2x + 3 = 2 \times 23 + 3 = 49 \\ 51 \\ 80[/tex]
enjoy it
You are asked to create a solution that is 3 parts water and 2 parts bleach. You have 4 liters of bleach. How much water should you add?
Step-by-step explanation:
If this is 3L water : 2L bleach then this following measures and answers are the answer.
3L:2L
?L:4L
4L/2L= 2L
so therefore
3L* 2L = 6L
so
6L water : 4L bleach
6L water
Put the puzzle together by solving each problem!
A The gas tank in Bob's new car holds
12.4 gallons. If gas costs $2.45 per gallon,
how much would Bob pay to fill his tank?
Worth 30 points! Need answer fast! Thank you, correct answer will get brainliest!
Which is the coordinate of point A?
(8, –6)
(–6, 8)
(6, –8)
(–8, –6)
Answer:
Option A is your definite answer.
Step-by-step explanation:
We know that the x coordinate is positive since it is on the positive half of the x-axis. We also can identify that the point A is in the 4th Quarter of the grid, so the y coordinate is negative.
The only choice that proves this reasoning true is option A :)
Hope this helps! Mark me brainliest.
What is the y-intercept:
7x + y = 10
Answer:
10
Step-by-step explanation:
7(0)+y=10
y=10
Answer: (0, 10)
Step-by-step explanation:
The given expression is in the standard form of linear equations: Ax + By = C, where A and B are constants.
The definition of y-intercept is the point that intersects with the y-axis, meaning that the [x] value of the point will be zero.
To find the y-intercept of an equation, substitute the [x] variable with 0, as mentioned above, the [x] value of a y-intercept is 0.
[tex]7x+y=10\\[/tex]
[tex]7(0)+y=10[/tex]
[tex]0+y=10[/tex]
[tex]y=10[/tex]
As we find the [y] value is 10, while the given [x] value is 0, therefore, the y-intercept of [tex]7x+y=10[/tex] is [tex]\boxed{(0,10)}[/tex].
Hope this helps!! :)
Please let me know if you have any questions
Make my life easier and answer number 6
Answer:
18Step-by-step explanation:
To make it easier to understand, consider the exponent of a number with no decimals, with 1 decimal and with 2 decimals:
No decimals - the exponent has no decimals1 decimal - put the number as (a*10⁻¹)ⁿ = aⁿ10⁻ⁿ, there will be n decimals2 decimals - similar to above- (a*10⁻²)ⁿ = aⁿ10⁻²ⁿ, there will be 2n decimalsSince our given number is (0.23)⁹, with 2 decimal places, its exponent will have 2*9 = 18 decimals.
what is the scale factor from triangle abc to triangle A' B' C' ? Also explain how.
Use any method to solve the equation. If necessary, round to the nearest hundredth.
8x^2 + 18x - 24 = 0
Answer:
the values are x= 0.94 and x= -3.19
Determine if (0,-5) is a
solution to the equation
y = -5x
Plug (0,-5) into the equation -
-5 = -5(0)
-5 times 0 is 0
-5 = 0
(0,-5) is NOT a solution to the equation.
Good luck!
Answer:
No, it is not the solution to the equation.
Step-by-step explanation:
(0, -5)
y = -5x
So we have to plug in the values for x and y. 0 is our x value and -5 is our y value.
-5 = -5(0)
-5 = 0
Therefore, (0, -5) is not a solution to the equation
reduce each fraction by its lowest term 6/10
Answer:
2/5
Step-by-step explanation:
6/10 simplified to 2/5
Please make me brainleist i need to level up
HELP PLS FOR 100 POINTS PLS
Answer:
eef the points thanks man
thanks
Step-by-step explanation:
Answer:
Answer:
eef the points thanks man
thanks
Step-by-step explanation:
Step-by-step explanation:
A wire 22 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece. Find the length of the shorter piece of wire
Plz help I been stuck on this homework all night
Answer:
y = -1/5x - 10
Step-by-step explanation:
Pick any two points on the line.
(0,-10) and (50,-20)
find the slope by using m = y2-y1/x2 - x1(rise over run)
m = -20-(-10) / 50 - 0
m = -10/50 = -1/5 -- this is your slope
slope intercept form is y = mx + b, but we need to find your b, which is your y intercept. you find this by asking yourself, what is the y coordinate when x = 0? It is -10.
so now you have all the points you need.
y = mx + b
y = -1/5x - 10
The zeros of a quadratic function are located at x=−8 and x=4.
which expression represents a function
a- (x−8)(x−4)
b- (x−8)(x+4)
c- (x+8)(x+4)
d- (x+8)(x−4)
Answer:
d- (x+8)(x−4)
Step-by-step explanation:
Hi there!
Factored form of a quadratic equation: [tex]y=(x-r)(x-s)[/tex] where r and s are the zeros of the quadratic
We're given that the zeros are -8 and 4. Plug these into the factored form equation:
[tex]y=(x-(-8))(x-4)\\y=(x+8)(x-4)[/tex]
I hope this helps!
The class pet eats 1/4 cup of food each day.The teacher needs to buy enough food for 3 weeks.How much rabbit food does she need to buy?
Answer: 5.25 (pounds?)
Step-by-step explanation: 7 * 3 = 21. Multiply 21 and 1/4.
Set up a proportion and solve round to the nearest tenth. 45 is what percent of 80?
Answer:
the answer: 56.25 percent of 80
If one of the 9 players
on a team catches a
ball, what is the
probability that it was
one of the 4 infielders
who caught it?
Which statement is true?
A. An inch is longer than a foot.
B. A meter is shorter than a centimeter
C. A pound is heavier than an ounce
D. A kilogram is lighter than a gram
Answer:
c
Step-by-step explanation:
other statements are false
Please solve ASAP. Solving quadratic equations by factorising
Answer:
x = 1 , x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
2x² - 5x + 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use these factors to split the x- term
2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )
2x(x - 1) - 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x - 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
1/5d=-3 help I'm confused
Answer:
d=-15
Step-by-step explanation:
1/5d= -3
d= -3×5
d= -15
Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot. ^_^