Answer:
- The number of small boxes that will fill the large box 1 = 64
- The number of small boxes that will fill the large box 2 = 56
Step-by-step explanation:
Complete Question
Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.
Solution
To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.
Volume of a cuboid = L × W × H
For the small box,
Length = L = 4.5 inches
Width = W = 4.5 inches
Height = H = 8 inches
Volume of the small box = 4.5 × 4.5 × 8 = 162 in³
For large box 1,
Length = L = 24.25 inches
Width = W = 18 inches
Height = H = 24 inches
Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³
For large box 2
Length = L = 20.5 inches
Width = W = 18.5 inches
Height = H = 24 inches
Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³
The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.
The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.
Hope this Helps!!!
QUICK HELP PLS! Q15: A large city has 6 libraries. Each library has at least 1 computer. The median number of computers is 12. The difference between the maximum number of computers and the minimum number of computers is 35. Which statement are true about the number of computers in these libraries? Select each correct answer. A There must be 3 libraries with 12 computers. B A library could have less than 12 computers. C A library could have more than 50 computers. D All libraries must have less than 35 computers. E At least 1 library does bot have 12 computers.
Answer:
B A library could have less than 12 computers.
D All libraries must have less than 35 computers.
E At least 1 library does bot have 12 computers.
The inverse of the function f(x) = {x+
+ 10 is shown
h(x) = 2x-0
What is the missing value?
A. 1
B.5
C.10
D.20
Answer:
D
Step-by-step explanation:
f(x) = x + 10
Replace f(x) with y.
y = x + 10
Now, remember that in an inverse function you flip the x and y, so
x = y + 10
Solve for y
y = x - 10
because its 2x... we must multiply by 2.
2y = 2x - 20
Original equation:
h(x) = 2x - 0
h(x) is 2y..
D.
Answer:
The missing value is 20
Step-by-step explanation:
The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF).
Answer:
Yes, the two events are independent because P(NF|PB)=P(NF).
Step-by-step explanation:
Simplify: 9(1 - r) + 3r
Step-by-step explanation:
9 - 9r + 3r
9 - 6r
For finding the value of r
9 = - 6r
9/ - 6 = r
3 / - 2 = r
how to share £150 to 1:4
Answer:
30:120
Step-by-step explanation:
1 + 4 = 5
150 div 5 = 30
30 times 1 = 30
30 times 4 = 120
Answer:
1 : 4£30 : £120Step-by-step explanation:
£150[tex]1 : 4 \\ 1 + 4 = 5[/tex]
[tex] \frac{150}{5} = 30[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: 1\: \: \: \: \: \: \: \: \: \: \: : \: \: \: \: \: \: \: \: 4 \\ 30 \times 1 \: \: \: \: \: \: \: : \: 4 \times 30 \\ \: \: \: \: \: 30 \: \: \: \: \: \: \: \: \: \: \: \: \: : 120[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which is the correct calculation for the volume of the prism? A prism has a length of 6 units, height of 7 units, and width of 4 units. 6 + 7 + 4 = 17 Units cubed 6(4) + 7 = 31 Units cubed 6(4) = 24 Units cubed 6(7)(4) = 168 Units cubed Mark this and return
Answer:[tex]V=168\ units^3[/tex]
Step-by-step explanation:
Given
Length of Prism [tex]l=6\ units[/tex]
Height of prism [tex]h=7\ units[/tex]
width of prism [tex]b=4\ units[/tex]
Now Volume of a prism is given by
[tex]V=l\times b \times h[/tex]
[tex]V=6\times 4\times 7[/tex]
[tex]V=168\ units^3[/tex]
Answer:
The answer is 6(7)(4) = 168 Units cubed
Step-by-step explanation:
Hope this helps :)
What are the solutions of the equation: x2 – 1 = 15?
x = ± sqrt 14
x = ± sqrt 15
x = ±4
x = ±8
Answer:
x = ± 4
Step-by-step explanation:
Given
x² - 1 = 15 ( add 1 to both sides )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
Solve 1/2 (x+5) < 2
-
Answer:
x < -1
Step-by-step explanation:
1/2 (x+5) < 2
Multiply each side by 2
1/2*2 (x+5) < 2*2
(x+5) < 4
Subtract 5 from each side
(x+5-5) < 4-5
x < -1
what is -10=b/14-9? plz helps
Answer:
b = -14
Step-by-step explanation:
Step 1 : B/14 Simplify
Step 2 :
Rewriting the whole as an Equivalent Fraction
Adding fractions that have a common denominator
Step 3 :
Rewriting the whole as an Equivalent Fraction
Adding fractions that have a common denominator
Step 4 :
Pulling out like terms
Step 5 :
When a fraction equals zero
Answer: b = -14
Hope this helps.
Answer:
b= -50
Step-by-step explanation:
-10= b/14-9
Switch sides
b/14-9 = -10
Multiply both sides by 5
5b/14-9= 5(-10)
Simplify
b= -50
HOPE THIS HELPS :)
what is equivalent to (125^2/125^4/3)
Answer:
25
Step-by-step explanation:
Move 125^4/3 to the numerator using the negative exponent rule 1/b^n=b^-n.
125^2 x 125^4/3
Simplify the expression.
5^3(2/3)
Cancel the common factor of 3.
5^2
Raise 5 to the power of 2.
25
Paloma added a garden to her painting. She has 12 rows of flowers. Each row has 13 plants in it. Each plant has 15 flowers on it. How many flowers are in Palomas garden?
Answer: 2340 flowers
Step-by-step explanation:
From the question, Paloma added a garden to her painting. She has 12 rows of flowers and each row has 13 plants in it while each plant has 15 flowers on it. To calculate the number of flowers in Palomas garden, we multiply the number of rows by the total number of plants and the number of flowers in each plant. This will be:
= 12 × 13 × 15
= 2340 flowers
A bucket contains 10 balls numbered as follows: 1, 2, 2, 3, 3, 3, 3, 4,4,5.
What is the probability of drawing a ball with a number greater than 3?
Answer:
30% chance or [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
1, 2, 2, 3, 3, 3, 3, 4, 4, 5
The only numbers above 3 is 4, 4, and 5. There are 3 numbers greater than 3 and there are 10 total numbers, so the chance is [tex]\frac{3}{10}[/tex] theoretical chance of getting a number GREATER than 3 or 30% chance.
4. Kenneth needs to repaint a wall in his bathroom. The wall is 8 feet high and 14 feet long. Part of
the wall is covered with tile and he will not paint that part. The part of the wall covered by tile is 14
feet long and 42 inches high. Which expression could Kenneth use to find the area of the part of the
wall he needs to repaint?
a. 148-(42 + 8)
b. 14 * 8 - (42 * 14)
c. 148 -[(42 +12) * 14]
d. 2(14 + 8) -[(42 +12) + 14]
Answer:
96 * 144 - 168 * 42
Step-by-step explanation:
So the area of the wall is 96 * 144
And the area of the tiled part is 168 * 42
So it would be 96 * 144 - 168 * 42
Read and select the correct answer.
Sesenta ÷ tres =
30
20
10
40
Answer:
20
Step-by-ste
Answer:
20
Step-by-step explanation:
1. Se tiene que 5 kilogramos (kg) de almendra y 4 kg de nuez cuestan $44.00, mientras que 8 kg de almendra y 6 kg de nuez cuestan $69.00. Encuentra el precio por kilogramo de cada producto.
Answer:
x = 6.00 $/kg ----> almond
y = 3.5 $/kg ------> nut
Step-by-step explanation:
To find the price per kg of each product you first write the algebraic equations for the given relations:
x : price per kg of almond
y: price per kg of nut
Then, you have:
5x + 4y = 44.00 (1)
8x + 6y = 69.00 (2)
By using substitution you have from (1):
y = (44.00-5x)/(4) = 11.00 - (5/4)x
you replace this expression for y into (2):
8x+6[11.00-(5/4)x] = 69.00
8x+66.00-(15/2)x = 69.00
8x-(15/2)x = 69.00 - 66.00
(1/2)x = 3.00
x = 6.00 $/kg ----> almond
And for nut:
y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg
y = 3.5 $/kg ------> nut
i need help with this the question is: Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on the shelf. Thanks are helping
Answer:
If Josh had 27 baseballs and has 3 shelves, then if he splits the 27 between 3 he will get 9.
Step-by-step explanation:
27 ÷ 3 = 9
Hope this helps.
A line has a slope of 3/7. What is the slope of any line parallel to this line?
a) -7/3
b) 0
c) 3/7
d) 7/3
The slope of any line parallel to this line would be c) 3/7.
What are parallel lines?Parallel lines are those lines that are equal distances apart and often of the same length. So, for the given slope where we have parallel lines, we can expect to have lines of the same slope. Thus we can arrive at 3/7.
Note that parallel lines have the same slope. So, since the first slope is 3/7, we can expect the second to be the same thing.
Learn more about parallel lines here:
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Which statements are true?
Select each correct answer.
All squares are rhombuses.
All parallelograms are quadrilaterals.
All rectangles are squares.
All rhombuses are rectangles.
Answer:
the true statement is
All parallelograms are quadrilaterals
Step-by-step explanation:
The answer is that ''All squares are rhombuses'' and ''All parallelograms are quadrilaterals.'' It can't be ''All rectangles are squares.'', because it is not valid. But if it were the other way around it would be correct. It can't be "All rhombuses are rectangles." because it's not valid. Only some can be rectangles.
P.S. Hope this helps!
What is the value of C in the equation 4c-6=22
Answer:
4(7)-6=22
Step-by-step explanation:
C=7 and that's the final answer
Answer:
c = 7
Step-by-step explanation:
4c-6=22 add 6 on both sides
4c = 22+6
4c =28 divide both sides by 4
c = 7
A square is made using four rods of equal length joined end to end.
the perimeter of this square is 72 cm. Three of these rods are now joined end to end to make an equilateral triangle.
What is the perimeter of this equilateral triangle
Answer:54 cm
Step-by-step explanation:
Given
Rods are joined to form a square
Perimeter of square is [tex]72\ cm[/tex]
Suppose a is the length of each rod so
Perimeter is [tex]4 a[/tex]
[tex]\therefore 4a=72[/tex]
[tex]\Rightarrow a=\frac{72}{4}[/tex]
[tex]\Rightarrow a=18\ cm[/tex]
Now if rods are joined to form a square then
Perimeter is the sum of sides
Perimeter of (equilateral)triangle[tex]=3a[/tex]
[tex]\Rightarrow =3\times 18[/tex]
[tex]\Rightarrow =54\ cm[/tex]
if any of you guys can help it would be greatly appreciated this is due tomorrow
Answer:
x =4
Step-by-step explanation:
at the market, 5 light bulbs cost $9.85. how much does 7 light bulbs cost
Answer:
7 light bulbs cost $13.79
Step-by-step explanation:
1: Divide 9.85 by 5 = 1.97
2: Multiply 1.97 by 7= 13.79
Answer: 13.79
Hope this helps.
Answer:
$13.79
Step-by-step explanation:
If you divide 9.85 by 5, you'll get 1.97. If you multiple 1.97 by 7 the answer is 13.79!
Please help!
Eric has $4,610 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$ ___
Answer:
$ 4,986.18
Step-by-step explanation:
A = $ 4,986.18
A = P + I where
P (principal) = $ 4,610.00
I (interest) = $ 376.18
Work out the perimeter of the shaded shape.
Answer:
38cm
Step-by-step explanation:
4+2+2+4+13+13=38
What is the residual value when the price of jeans is $28.00?
- 9.37
- 1.13
- 1.13
- 9.37
The sales manager uses
y = 1.75x + 92.13 as a line of best fit.
well the answer is 1.13 because id you divide 28 in to 42 then you will get 1.13
What is the measure of angle a?
Answer:
38°
Step-by-step explanation:
Using the Cosine rule in Δ ABC
cos A = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
where a, b and c are the sides of the triangle.
Here a = 5, b = 3 and c = 7 , thus
cos A = [tex]\frac{3^2+7^2-5^2}{2(3)(7)}[/tex] = [tex]\frac{9+49-25}{42}[/tex] = [tex]\frac{33}{42}[/tex] , thus
∠ A = [tex]cos^{-1}[/tex] ([tex]\frac{33}{42}[/tex] ) ≈ 38°
Alex and Raul have a total of $5.00 between them. Raul has 60 cents more than Alex. How much does each have?
PLEASE ANSWER !!!!!!!!!!!
12. Write a function rule in slope-intercept form for the statement: the output is one less than half of the opposite of the input.
Answer:
The function rule is:
[tex]y=-\frac{1}{2} x-1[/tex]
Step-by-step explanation:
We identify the output with the variable "y", the "input with the variable"x". Notice also that the "opposite of the input is "-x" (negative x), and therefore the words "the output is one less than half of the opposite of the input" translate into:
[tex]y=\frac{1}{2} (-x)-1\\y=-\frac{1}{2} x-1[/tex]
\dfrac{g}4 =3.2
4
g
=3.2start fraction, g, divided by, 4, end fraction, equals, 3, point, 2
g=g=g, equals
Answer:
The answer is 21.
Step-by-step explanation:
**My**
**Mummy**
**Told**
**Me**
The value of g is 12.8, the solution of the equation.
Here, we have,
The equation you provided is:
g/4 = 3.2
To solve for the value of g, we can multiply both sides of the equation by 4 to isolate g:
4 * (g/4) = 4 * 3.2
The 4 on the left side cancels out with the 4 in the denominator, leaving us with:
g = 4 * 3.2
Multiplying 4 and 3.2 gives us:
g = 12.8
Therefore, the value of g is 12.8.
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PLEASE HELP ME
Find the surface area of the suitcase
Answer:
1,344 square inches
Step-by-step explanation:
First, determine the faces that you have to find the areas of! In this situation, you need to find the areas of two trapezoids and four rectangles.
Finding the area of a trapezoid is pretty straightforward! Simply find the average of the two bases and multiply that by the height. ((5+15)/2)*12 should equal the area of one trapezoid. Because they're both the same trapezoid, you can multiply this area by two in order to get the area of both. This will get you 240.
Now, find the area of each of the rectangles by multiplying their individual bases and heights together. You'll find them to be 312, 360, 120, and 312.
Lastly, add all the areas together to get the total surface area.