What is the length of line segment KJ?
O 2/3 units
O 32 units
M 3 v
O 3/3 units
O 375 units
Abe is going to plant 54 oak trees and 27 pine trees.
Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree.
What is the greatest number of trees Abe can have in each row?
Answer: There are 27 trees he can plant in one row. There is one pine tree and 2 oak trees in each row
Step-by-step explanation:
Brad is hoping to package exactly 48 baseballs together. He sees the side of a box in his storeroom that is 2 x 3. What is he hoping the other dimension is? please help me out! I need the eqation and answer and a drawing of it too! Please help me out!
The given dimensions of the base of the box are 2 x 3 units.
Let h be the height of the box.
So, the volume of the box = 2 x 3 x h ...(i)
The shape of baseball is spherical and one baseball fits in a cubical box having the minimum dimensions equal to the diameter of the spherical ball.
Assuming the diameter of the baseball is d units.
So, the volume occupied by one baseball= volume of the cubical box having the side [tex]d[/tex] units.
[tex]=d^3[/tex] cubic units
So, the volume required to pack 48 baseballs
[tex]= 48 d^3 \cdots(ii)[/tex]
Assuming that all the baseballs fit in the box, i.e peripheral balls in every horizontal and vertical layer touched the box as shown in the figure.
So, the length, 3 units and the width, 2 units, must be the integral multiple of the diameter, [tex]d[/tex] units, of the baseball. i.e
The length, [tex]3 = ad\cdots(iii)[/tex]
The width, [tex]2=bd\cdots(iv)[/tex]
The height, [tex]h=cd\cdots(iv)[/tex]
where [tex]a,b[/tex] and [tex]c[/tex] belong to the natural number.
This required volume must be equals to the volume of the box.
From equations (i) and (ii),
[tex]2\times 3\times h=48d^3[/tex]
[from (iii) and (iv)]
[tex]\Rightarrow abhd^2=48d^3[/tex]
[tex]\Rightarrow h=\frac{48d^3}{6abd^2}[/tex]
[tex]\Rightarrow h=\frac{48}{ab}d[/tex]
On comparing with the equation (iv)
[tex]c=\frac{48}{ab}\cdots(v)[/tex]
Now, if the diameter of the baseball is unity,i.e, d=1 unit
( integer) and (integer) [from (iii) and (iv)]
(also an integer) [from (v)]
Now, the height of the box,
[tex]h=8 \times 1= 8[/tex] unit.
Hence, the other dimension of the box, is 8 units corrosponding to the unity diameter of the baseball.
Note the height of the box depends on the diameter of the baseball, so it will have infinite possible value for different value of the diameter.
For example, the value of height for d=1 unit has been shown.
and another example may be if units, then (integer) and (integer)
(also an integer) [from (v)]
Now, the height of the box,
[tex]h=2 \times 0.5= 1[/tex] unit. [from (iv)]
Here, the height of the box is 2 units corrosponding to 0.5 unit diameter of the baseball.
The possivle values of d can be taken for which [tex]a,b[/tex] and [tex]c[/tex] must be integers.
HELP ME PLEASE ITS GEOMETRY PLEADE HELP
Answer:
Step-by-step explanation:
Let the complement = x
Let the angle = 5*x
x + 5x = 90
6x = 90
x = 90/6
x = 15
So the complement = 15
The angle itself is 5*15 = 75
A frozen dinner at a grocery store is purchased for $2.20 wholesale and is marked up by 40 percent. A customer wants to buy four frozen dinners. How much will the customer pay, including paying 9 percent sales tax? Round your answer to the nearest cent. $8.80 $10.07 $13.43 $14.39
Answer:
$13.43
Step-by-step explanation:
Given that :
Price of dinner wholesale = $2.20
Markup % = 40%
Hence, selling price = (100 + 40)% * $2.20
Selling price = 140% * $2.20
Selling price = 1.4 * $2. 20 = $3. 08
Hence, price of 4 frozen dinner :
$3. 08 * 4 = $12.32
9% sales tax:
9% * $12.32
0.09 * $12.32 = 1.1088
Total amount paid :
$(12.32 +. 1.1088)
= $13.4288
= $13.43
Answer:
The answer is $13.43
Step-by-step explanation:
I just answered that question, and got it right
Manual is a word processor operator he makes $11.50 an hour determine his gross earnings for a week if he worked 52 hours
$598 basically 11.50•52
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 800 grams and mass was decreasing by 13% per day. Determine the mass of the radioactive sample at the beginning of the 12th day of the experiment. Round to the nearest tenth (if necessary).
Which of the following points are correct for the equation (multiple answers)
Y = 3x + 2
(-1, -3)
(0,5)
(1,5)
(2-3)
Answer:
1,5 is your answer
Y=5 and X=1
Insert it in the equation
5=3(1)+2
5=3+2
5=5
Hence proved!
Which list shows the numbers below in order from least to greatest? −5.9, −234, 5.78, 58%−5.9, −234, 5.78, 58% −234, −5.9, 58%, 5.78−234, −5.9, 58%, 5.78 −5.9, −234, 58%, 5.78−5.9, −234, 58%, 5.78 58%, −234, 5.78, −5.958%, −234, 5.78, −5.9
Write the domain and range of the function as an inequality
Domain = [tex]-\infty < x < +\infty[/tex]
Range = [tex]y \le -4[/tex]
======================================
Explanation:
The arrows on the graph indicate it goes on forever in both left and right directions. So the domain is the set of all real numbers and as an inequality, we write [tex]-\infty < x < +\infty[/tex] which is the same as saying [tex]-\infty < x < \infty[/tex]
This says x is between negative infinity and positive infinity.
In set builder notation, we would say [tex]\{x | x \in \mathbb{R}\}[/tex] and in interval notation, we would write [tex](-\infty, \infty)[/tex]
As you can probably see, the domain is the set of all possible x inputs of a function.
--------------------------
The range is the set of all possible y outputs of a function.
The largest output is y = -4 which is where the vertex is located.
There is no smallest y value as the arrows point down, and the graph goes forever in that direction.
So we say the range is [tex]-\infty < y \le -4[/tex] which shortens to [tex]y \le -4[/tex]
The range in set builder notation is [tex]\{y | y \in \mathbb{R}, \ y \le -4\}[/tex]
The range in interval notation is [tex](-\infty, -4][/tex] The square bracket says to include the endpoint, while the parenthesis excludes the endpoint.
What does this mean f(5)=-10
expand 3(z+3) please help me solve this
Answer:
3(z+3) = 3z + 9 if thats what your asking
Step-by-step explanation:
I need help with this
Answer:
ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure
-6x =48
need help urgently
Answer:
x = -8
Step-by-step explanation:
Divide each side by -6 to cancel out the -6 next to x. It should now look like this: x = -8I hope this helps!
[tex]→-6x =48[/tex]
[tex]step \: by \: step \: explanation:[/tex][tex] \implies{- 6x = 48}[/tex]
[tex]\implies \: x = \frac{48}{ - 6 } [/tex]
[tex] \blue{\implies \: x = - 8}[/tex]
PLS HELP PLSSSSSSS QUICK
Which expression is equivalent to 1/4x+3−1/3x+(−2)?
Answer:
7/12x+5
Step-by-step explanation:
please help ASAP i don't understand what to do
Answer:
Range is (-5,5)
Step-by-step explanation:
It is the range of y values for the graph
What is f(-8) for the function f?
F= 11(x-24)/2
Answer:
-176.........................
convet one solar day into second
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
Anoushka needs to stain the circular wooden deck in the backyard. The deck has a diameter of 30 feet. A gallon of stain covers approximately 250 square feet. Each gallon is $33.99. How much will Anoushka spend in order to stain the deck? Use 3.14 to approximate .
Answer:
$101.97
Step-by-step explanation:
Diameter of circular wooden deck = 30 ft
Radius of the deck = ½ of diameter = ½*30 = 15 ft
Area of deck = πr² = 3.14*15² = 706.5 ft²
1 gallon covers 250 ft² (1 gallon = 250 ft²)
Let x be the number of gallons that will cover 706.5 ft² of the deck
Thus:
1 gallon = 250 ft²
x = 706.5 ft²
Cross multiply
1*706.5 = 250*x
706.5/250 = x
2.826 = x
Number of gallons to cover the deck is approximately 3 gallons (approximated to nearest whole number). Since the we can't buy a gallon that is not full, we approximate to give us 3 gallons.
1 gallon cost $33.99 (1 gallon = $33.99)
3 gallons cost: 3*33.99 = $101.97
Examine the department names for each hypothetical company, and then select the organizational type from the drop-down menu. If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a organizational structure. If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a organizational structure. If a company has departments such as Northwest, South, and Northeast, it probably has a organizational structure.
Answer: the first one is a matrix. the second one is functional.
Step-by-step explanation:
Answer:
If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a
✔ matrix
organizational structure.
If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a
✔ functional
organizational structure.
If a company has departments such as Northwest, South, and Northeast, it probably has a
✔ divisional
organizational structure.
John found three pieces of cable in his tool drawer. Here are their lengths (in meters).
8, 9.95, 10.5
What is the total length of the three pieces?
its just asking j the total amount of all of them together so add al of them together which is 28
Answer:
28.45
Step-by-step explanation:
*Mark me as brainliest
What is the base in the expression 45?
4
5
9
20
the answer to your question is 4
Answer:
yeah it is 4 i got it right
Step-by-step explanation:
Which expression is equivalent to one over five m − 20? (4 points)
A one over five (m − 4)
B one over five (m − 100)
C 5(m − 4)
D 5(m − 100)
HELP ASAP
Answer:
The equivalent to one over five m − 20 is one over five (m − 100) ⇒ B
Step-by-step explanation:
Let us solve the question
∵ One over five means [tex]\frac{1}{5}[/tex]
∴ One over five m - 20 = [tex]\frac{1}{5}[/tex] m - 20
→ By using the distributive property, take one over five as a common factor
from both terms
∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex]
→ Simplify the bracket
∵ [tex]\frac{1}{5}[/tex] m ÷ [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{5}[/tex] m × 5 = m
∵ 20 ÷ [tex]\frac{1}{5}[/tex] = 20 × 5 = 100
∴ [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex] = [tex]\frac{1}{5}[/tex] (m - 100)
∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] (m - 100)
The equivalent to one over five m − 20 is one over five (m − 100)
(Help!!!!!!!!) Elena is building a fence for a garden. Using the drawing of her fence below, how many feet of fencing does she need to purchase? Each square unit on the graph represents a square foot. Round to the nearest tenth if necessary.
(sorry for the qualtiy)
A.20.7 feet
B.19.7 feet
C.28.5 feet
D.30.7 feet
E.36.5 feet
Answer:it is d because on the chart it is 5 and 2 and your round
Step-by-step explanation:7 times 5 28 equal 30 hope helped correct if wrong
rearrange the formula d= m/v for m
Answer:
m=d*v
Step-by-step explanation:
alr please help add: 21 / 100 + 6/10 =
Answer:
The answer is 81/100.
Step-by-step explanation:
Multiply the denominator of the second fraction by 10 to get 100, then the numerator as well to get 60. Now that you have 21/100+60/100, all you have to do is add.
Jacob baked 42 sugar cookies and 30 oatmeal cookies to package for his friends at school. He wants to package the cookies into identical containers so that each container has the same number of cookies. If he uses all of the cookies, what is the greatest number of containers he needs?
Answer:
6
Step-by-step explanation:
Given the following :
Number of sugar cookies = 42
Number of Oatmeal = 30
To package the cookies into identical containers so that each container has the same number of cookies with no left over ;
We find the greatest common factor of 42 and 30
Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42
Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30
The greatest common factor = 6
Help me plzjsjsjsnnsndndndn
Answer:
C
Step-by-step explanation:
hope this helps
(8.1 x 104)
+
(2.5 x 104). Express your answer in scientific notation.
Answer:
=10.6x104
Step-by-step explanation:
=8.1x104+2.5x104
=(8.1x104+2.5x104)
=10.6x104
(8.1 x104)+(2.5 x 104)
Multiply the numbers
842.4 + (2.5 x 104)
Multiply the numbers
842.4 +260
Now we do the same thing only different way
2
2.5
x 104
________
100
000
2 50 0
______________
260
Multiply the digits
4 x 5 =20
Take the last digit and write it in the answer line
Carry the next digit and save it for the next calculation
Multiply the digits
4 x 2=8
Add the carried digit for the previous result
8+2 =10
Write the result in the answer line
Move the next digit and write it the next result below
Every digit multiplied by zero equals zero
Move to the next digit an write the next result below
Every digit multiplied by one stays the same
Add the numbers
Move the decimal sign as many times as there are decimal places in both factors combined.
Remove the unnecessary zeros
The result is 260
842.4+260
Add the numbers
1102.4
842.4
+ 260.0
_________
1102.4
Write zeros to get the same number of decimal places.
Add the digits in the column
4+0=4
Write the result under the column
Add the digits in the column
2+0=2
Solution: 1102 .4
Alternate form : 5512/5 , 1102 2/5
PLEASE MARK ME AS BRAINLIEST