The dimensions of a right rectangular prism are shown below.
How many cubes with side lengths of 1 over 6 inch are needed to fill the prism without gaps or overlaps?
Answer:
91 cubes
Step-by-step explanation:
518 cubes are needed to fill the right rectangular prism without gaps or overlaps.
What is right rectangular prism?"It is a prism whose all faces are rectangles."
What is the volume of rectangular prism?The volume of a rectangular prism with length l, width w and height h is,
V = l × w × h
What is the volume of cube?The volume of a cube having side length 'a' is given by,
[tex]V=a^3[/tex]
For given example,
The dimensions of a right rectangular prism are:
length : [tex]l=2\frac{1}{6}[/tex]
⇒ [tex]l=2.17[/tex] in.
width: [tex]w=1\frac{1}{6}[/tex]
⇒ [tex]w= 1.17[/tex] in.
height : h = 1 in.
So, the volume of a right rectangular prism would be,
⇒ V = l × w × h
⇒ V = 2.17 × 1.17 × 1
⇒ V = 2.5389 cu. in .
Now, the side lengths of a cube : [tex]a=\frac{1}{6}[/tex]
⇒ [tex]a=0.17[/tex]
So, the volume of a cube would be,
⇒ [tex]V=a^3[/tex]
⇒ V = (0.17)^3
⇒ V = 0.0049
Let, 'n' cubes are needed to fill the right rectangular prism without gaps or overlaps.
volume of a right rectangular prism = n × volume of a cube
⇒ 2.5389 = n × 0.0049
⇒ 2.5389/0.0049 = n
⇒ n = 518.14
⇒ n ≈ 518
Therefore, 518 cubes are needed to fill the right rectangular prism without gaps or overlaps
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In the month of January, you were able to sell 1,200 desserts. In February, your dessert sales increased to 1,500. What is the percent changed?
The percentage change or increase of dessert sales has changed by 25%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, In the month of January, you were able to sell 1,200 desserts and
In February, your dessert sales increased to 1,500.
So, The net amount increase is (1500 - 1200) = 300.
Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,
= (300/1200)×100%.
= (300/12)%.
= 25%.
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no files please!!!!!!!!!!!
Answer:
(-1/2, 3)
Explaination:
Multiply the second equation by 2, then add the equations together.
(4x-y=-5)
2(-2x+3y=10)
Becomes:
4x-y=-5
-4x+6y=20
Then add the equations to eliminate x.
5y=15
then solve 5y-15 for y. (Divide both sides by 5)
5y/5 = 15/5
y= 3
Okay, now we have found y where going to plug it in an equation to solve for x
Going to chosse equation : 4x-y=-5
Subsitue 3 for y in 4x - y = - 5
4x - 3 = -5
( Add 3 to both sides)
4x - 3 + 3 = - 5 + 3
4x = -2
(Divide both sides by 4 )
4x/4 = -2/4
x= -1/2
Which letter represents the point (-4, 1) on the graph above?
A. А
B.B
С. С
D. D
Step-by-step explanation:
the right answer would be B
Answer:
C
Step-by-step explanation:
The point (-4 , 1) will be located
4 units towards left side of x axis . 1 unit above y axis.From figure , Point C
Explain how to find the slope of the line.
Step-by-step explanation:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2} [/tex]
Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.
#CMIIWEvaluate 6h when h =8
Find the area of the polygon.
Answer:
35 sq units
Step-by-step explanation:
Which rule is correct for translation 2 units right and 6 units down
Answer:
(x + 2, y - 6)
Step-by-step explanation:
When you go right or up it is in the positive.
When you go left or down it is in the negatives.
Answer:
[see below]
Step-by-step explanation:
Two units to the right is adding 2 together to the x value.
6 units down is subtracting 6 from the y-value.
The rule should be:
[tex](x,y)\rightarrow(x+2,y-6)[/tex]
Hope this helps.
Find x. Round the the nearest whole number
Answer:
Step-by-step explanation:
I think it should be 20 because the line is similar to the 18 line so you can round up to 20.
A rectangle garden that measures 6 feet by 8 feet is roped off to form a right triangle
Answer:
6•8=48
48/2=24 ft
Step-by-step explanation:
The right triangle is half of the rectangle
A bacteria culture is grown with a population of 15 million cells and kept under observation. The bell population is found to double every hour. How can we use geometric sequences and series to find the total population after six hours? Show all work.
Answer:
Population after 6 hours is 2.44 *10^12
Step-by-step explanation:
The geometric population growth formula is
[tex]P = P_0 * e^{kt}[/tex]
Substituting the given values in above equation we get
[tex]P = 15 *10^6 * e^{2 * 6}\\P = 15 *10^6 * 162754.791\\P = 2.44 *10^{12}[/tex]
Population after 6 hours is 2.44 *10^12
Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?
Answer:
5.375 quarts
1.625
Step-by-step explanation:
determine amount of quarts of latex per square feet = 5/200 = 0.025
quart for 215 = 0.025 x 215 = 5.375 quarts
quart for 65 = 65 x 0.025= 1.625
Solve for x and then find the measure of Angle B
Angle B =
Answer:
5
Step-by-step explanation:
thanks for the points
Please help out will give brainliest
Answer:
17
Step-by-step explanation:
The image is not too clear. Let us assume we need the base AB
AB = opposite
BC = hypotenuse
Sin theta = opp/hyp
Sin 37 = AB/BC
Sin 37 = AB/28
AB = 28sin37
AB = 28(0.6018)
AB = 16.85
AB ≈ 17
Hence the length of AB is 17
Help please
Evaluate the expression when a = -9 and b = - 4.
a? - 2(b + 12)
Step-by-step explanation:
a^2 - 2(b + 12)
(-9)^2 - 2(-4 + 12)
81 - 2 (-4 + 12)
79 (-4 + 12)
79 × -4 + 79 × 12
-316 + 948
632
PLZ HELP IM STUCK!!!!!!!!!!
Answer:
A. Because
Step-by-step explanation:
[tex] \frac{3 - 2}{ - 1 - 2} = \frac{1}{ - 3} [/tex]
what is the y intercept? f(x)=-2^2+4x-6
Answer:
The y intercept is -1
Step-by-step explanation:
the y-intercept is when y = 0
f(0) = -2^2 + 4(0) - 5
f(0) = 4 - 5
f(0) = -1
The art club is designing a rectangular mural for the school hallway. Three corners are located in a coordinate plane at the following locations: (–1, –1), (–1, 1), and (4, 1).
What is the ordered pair for the fourth corner?
Answer:
That fourth ordered pair is (4, -1)
Step-by-step explanation:
A rectangle is a set of permutations of x and y
x can either be -1, or 4
y can either be -1, or 1
the only one missing from this set is (4, -1)
Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this? CLEAR CHECK x2+81x+18=54 x2−8x+24=17 x2+9x−24=25 x2+16x+64=36
Answer:
d.) x2+16x+64=36
Step-by-step explanation:
To find - Alicia is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?
a.) x2+81x+18=54
b.) x2−8x+24=17
c.) x2+9x−24=25
d.) x2+16x+64=36
Proof -
The correct answer is - d.) x2+16x+64=36
x2+16x+64=36
⇒x² + 8x + 8x + 64 = 36
⇒x(x + 8) + 8(x + 8) = 36
⇒(x+8)(x+8) = 36
⇒(x+8)² = 36
Take square root both sides, we get
√(x+8)² = √36
⇒x + 8 = ± 6
⇒x + 8 = 6, x + 8 = -6
⇒x = 6 - 8 , x = -6 - 8
⇒x = -2, -14
So,
Equation (4) allows her to do the following thing she ants.
Enter the slope-intercept equation of the line shown below.
5
5
5
Answer:
y=-4x-4
Step-by-step explanation:
rise/run+ y-intercept
Not sure how to do this one. Please help asap.
Answer:
,,,,,,,,,,,,,,,,,,,,,,,
please please help!!
Use the table showing the number of visitors to the art museum each month
A. What is the mean of the data?
B. what is the median
of the data?
C. what is the mode of the data?
Answer:
The answer is C
Step-by-step explanation:
Cause the visitors to the Act got more data
(
x
−
2
)
−
3
=
1
x
−
6
=
x
3
⋅
x
3
(x
−2
)
−3
=
x
−6
1
=x
3
⋅x
3
Explain why these exponential expressions are equal to each other. Justify your answer.
Answer:
Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...
Step-by-step explanation:
Exactly how much pizza crust would be left of a 16" pizza if only of the pizza was eaten for dinner?
The question is incomplete and the value or fraction of the amount of fraction of pizza eaten for dinner isnt Given. Assume the fraction of pizza eaten for dinner = p
Answer:
Kindly check explanation
Step-by-step explanation:
To solve the problem above;
Amount of pizza eaten for dinner = (fraction eaten * total size of pizza)
Amount of pizza eaten for dinner = 16 * p = 16p
Amount of pizza crust left :
(Total size of pizza crust - Amount of pizza eaten for dinner)
Amount of pizza crust left = 16 - 16p
Note that this is just an hypothetical solution because the value represented as p was omitted in the question.
Simply substitute p in the solution with it's exact value to obtain the exact amount of pizza crust left.
Given f(x)=3x^3+kx-8, and the remainder when f(x) is divided by x-3 is 43, then what is the value of k?
Answer:
k= - 10
Step-by-step explanation:
43 = - 8 +3(27+k)
3(27+k) = 51
27 + k = 17
k = - 10
16 divided by 1.296
Can you take me through step-by-step on this plz?
Answer:
12.3456790123
Step-by-step explanation:
its hard to explain but you could always use a clculator and no I did not use one. But these are hard I'm a math major
1 2 . 3 4 5 6 7 9
1 2 9 6 | 1 6 0 0 0 .
1 2 9 6
3 0 4 0 .
2 5 9 2 .
4 4 8 . 0
3 8 8 . 8
5 9 . 2 0
5 1 . 8 4
7 . 3 6 0
6 . 4 8 0
8 8 0 0
7 7 7 6
1 0 2 4 0
9 0 7 2
1 1 6 8 0
1 1 6 6 4
1 6
A 12 oz. can of pinto beans is $2.15. What is the cost per ounce? *
Answer:
$0.18
Step-by-step explanation:
setup proportion and solve for x:
[tex]\frac{12}{2.15} =\frac{1}{x} \\12x = 2.15\\x=0.17916 = 0.18[/tex]
HELP ASAP!!!!!!!!!!!!!
Answer:
a) length of sides remain unchanged
Step-by-step explanation:
La semana pasada Lol hizo en su pastelería 32kg de bollos de distintas clases. Un cuarto de los bollos de los bollos los vendió a 9 € y el resto a 8,50 € el kilo. Cuanto recaudo en total por la venta ?
Answer:
$276
Step-by-step explanation:
Given that
Last week Lola made 32kg of different kind of bun
The quarter of the bun sold at $9 per kilo
And, the rest would be sold at $8.5 per kilo
We need to find out the amount that should be collected in total from the sale
A quarter of the 32 buns is 8 buns
And, the half of 32 is 16, and half of 16 is 8.
Now If he sold those 8 buns for $9
So, the total amount is
= (8 buns) ($9)
= $72
Now the remaining buns left is
= 32 - 8
= 24 buns
It would be sold at $8.50
So, the total amount is
= (24) ($8.50)
= $204
Now the final amount is
= $204 + $72
= $276