Answer:
GCF = 6
The original sum rewrites to 6(2+3)
=================================================
Explanation:
Notice we have these factorizations
12 = 6*2
18 = 6*3
Which shows that 6 is the greatest common factor (GCF)
So,
12+18 = 6*2+6*3 = 6*(2+3)
We use the distributive property which is a(b+c) = ab + ac
I'll leave the 2+3 part un-simplified so that you can see the two original pieces, and how the 6 can multiply with them both to get back to 12+18 again.
help please i need it
Answer:
You need 7 strawberries to make 1 cup of smoothy
so that means 21 strawberries for 3
and 10 smoothies need 70 strawberries
226 divided by 896451
The rectangular floor of a classroom is 40 feet in length and 34 feet in width. A scale drawing of the floor has a length of 20 inches. What is the area, in square inches, of the floor in the scale drawing?
Step By Step: Okay, so we have that. The Rectangular four of the classroom is 36 x 32 ft. And we have a skilled drawing where the length is nine, and I'm guessing who you want to know or with to find the area. So we'll equate this to 36 ft Over 32 ft. So first we'll cross multiply nine and 32 and divide by 36 to find X or with. So thus we have nine times eight inches Equalling 72" squared. And so that's the area of the floor and the scale drawing.
How many pounds of a chicken feed that is 40% corn must be mixed with 270 lb of a feed that is 80% corn to make a chicken feed that is 70% corn?
We have to add 90 pounds of chicken feed that is 40 % to make a chicken feed that is 70 % corn.
How many chicken feed must be added to a given blend?
In this problem we have to prepare a chicken feed with a given concentration by blending two chicken feeds with different concentration. The addition of chicken feed needed can be determined by weighted averages:
(70 / 100) · (270 + x) = (80 / 100) · 270 + (40 / 100) · x
0.7 · (270 + x) = 0.8 · 270 + 0.4 · x
189 + 0.7 · x = 216 + 0.4 · x
0.3 · x = 27
x = 90
We have to add 90 pounds of chicken feed that is 40 % to make a chicken feed that is 70 % corn.
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PLS HELP ASAP!!!!!!!!!!!!!!!!!!
Answer:
it A because if u apply pressure the molecules will be cramped
Step-by-step explanation:
12. A private corporation owned by 35 shareholders is worth $1.7 million.
The corporation loses a lawsuit worth $3 million. What is the value
of any personal property of the shareholders that can be taken to pay
the settlement? Explain.
vo sv.
wested... the
od oqually by 13 partners is worth $1.3 million.
Final answer : Shareholders' personal property cannot be taken to settle the company
Definition : A company is treated as a person with the legal capacity to enter into a contractual obligation, own properties, sue or be sued. A company uses a common seal as its signature and any documents bearing company seal are legally enforceable.
Given Data:
A private corporation owned by 35 shareholders is worth $1.7 million.
The corporation loses a lawsuit worth $3 million.
To find :
What is the value of any personal property of the shareholders that can be taken to pay the settlement?
Solution:
shareholders' liability is limited.
A shareholder cannot lose more than the value of stock owned in a company.
Shareholders' personal property cannot be taken to settle the company obligation because a company is a different entity from its shareholders.
Main Answer : Shareholders' personal property cannot be taken to settle the company
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what line is perpendicular to the line passing through the points (-4, 2) and (4, -1)
The line that is perpendicular to the line passing through the points (-4, 2) and (4, -1) is y = (8/3)x + 1/2
Equation of a lineFrom the question, we are to determine the equation of the line that is perpendicular to the line passing through the given points
First, we will determine the equation of the line passing through the given points
The given points are (-4, 2) and (4, -1)
Using the formula,
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
x₁ = -4
y₁ = 2
x₂ = 4
y₂ = -1
Thus,
(y - 2)/(x - -4) = (-1 - 2)/(4 - -4)
(y - 2)/(x + 4) = (-3)/(4 + 4)
(y - 2)/(x + 4) = (-3)/(8)
8(y -2) = -3(x + 4)
8y - 16 = -3x -12
8y = -3x -12 + 16
8y = -3x + 4
y = -(3/8)x + 1/2
Now,
NOTE: A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line
In the above equation,
The slope of the line is -3/8
∴ The slope of the line that is perpendicular to the line will be 8/3
Thus,
The equation of the line will be y = (8/3)x + 1/2
Hence, the line that is perpendicular to the line passing through the points (-4, 2) and (4, -1) is y = (8/3)x + 1/2
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Manny took home a couple of his friends after soccer practice. He originally had 5 gallons of gas in his car. He used 1.03 gallons of gas to take one friend home and four fifths gallon to take the other friend home. How much gas did he have left in his car after taking both friends home?
1.04 gallons
3.17 gallons
5.8 gallons
6.03 gallons
Answer:
3.17
Step-by-step explanation:
got dat big brain
A pattern defines the relationship between the first two terms. Determine the relationship and identify the missing term of the second pair, such that both pairs are analogous. AGD : EKH :: IOL :
The missing term of the second pair, such that both pairs are analogous is WKPA.
How to explain the information?For the first two terms, S is 1 letter before Q,
For the first two terms, S is 1 letter before Q,F is 1 letter before D,
For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,
For the first two terms, S is 1 letter before Q,F is 1 letter before D,Y is next to X,N is next to FM.
For the first two terms S is 1 letter before Q,F is 1 letter before D,Y is next to X ,N is next M.Similarly, UIOZ : WKPA. Where W is 1 letter before U,K is 1 letter before I, O is next to P,Z is next A.
Therefore, the correct option is D.
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Refer to the terms given below. There is a pattern that defines the relationship between the first two terms. Determine this relationship and then identify the missing term of the second pair, such that both the pairs are analogous. QDXM : SFYN :: UIOZ : 1) PAQM 2) LPWA 3) QNLA 4) WKPA
is 1 15/61 a rational number?
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.
What amount do you report for Total Equity? Specify as a whole number.
The total equity of the company for the year ended is $43,900
What is net income?
The net income is the excess of fees earned by Adventure Travel in the year ended over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense
total expenses=32,800+16,800+3960+4000+2800
total expenses=60,360
fees earned=75,000
net income =fees earned-total expenses
net income=75,000-60,360
net income=$14,640
Now the closing retained earnings comprises of beginning retained earnings plus the net income minus the cash dividends paid
Retained earnings=$14,640+$ 10,260-$1,000
Retained earnings=$23,900
Having determined the retained earnings closing balance, the total equity , common stock plus the closing balance of retained earnings
Total equity=$20,000+$23,900
Total equity=$43,900
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The velocity, V, of a specific object being dropped from a particular height, h, can be found by the radical function V equals the square root of the quantity 2 times h times a end quantity where a represents the acceleration in ft/sec2. If the acceleration due to gravity is 32.2 ft/sec2, at what height should you drop an object in order for it to have a velocity of 80 ft/sec?
5,152 feet
99.4 feet
71.8 feet
1.5 feet
The object is dropped at a initial height of 99.4 feet. (Correct choice: B)
What is the final velocity of a falling object?
Herein we find the case of a specific object under free fall motion, that is, due to gravity and neglecting effects from air viscosity and Earth's rotation. The kinematic equation is presented below:
v = √(2 · a · h) (1)
Where:
v - Final velocity, in feet per second.a - Acceleration, in feet per square second.h - Initial height, in feet.If we know that a = 32.2 ft / s² and v = 80 ft /s, then the initial height of the object is:
80 = √(2 · 32.2 · h)
80 = √(64.4 · h)
80² = 64.4 · h
h = 80² / 64.4
h = 99.379 ft
The object is dropped at a initial height of 99.4 feet. (Correct choice: B)
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Dji manufactured the Mavic air 2 quadcopter and offered a 10/8/7 chain discount to primary customers. Drone nerds is a primary customer and ordered 15 mavic Air2's for a total $23,500 list price
The price of the DJI Mavic Air2 drones after the chain discount is applied will be $18,095.94.
What is the chain discount?An assortment of trade discount rates or their sum is referred to as a chain discount.
DJI produced the Mavic Air 2 quadcopter and gave its top clients a 10/8/7 chain discount. The company's main client, Drone Nerds, bought 15 Mavic Air2 drones for a total of $23,500 list price.
Then the price of the DJI Mavic Air2 drones after the chain discount is applied will be
⇒ $23,500 x 0.90 x 0.92 x 0.93
⇒ $18,095.94
The price of the DJI Mavic Air2 drones after the chain discount is applied will be $18,095.94.
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Taliba has $31 to spend ordering some new phone cases. Each phone case costs $4, and there is also a $7 shipping charge. How many phone cases, n, can Taliba buy?
Which of the following is the point and slope of the equation y - 8 = 4(x + 3)? a. (8, -3), 4 b. (3, -8), 4 c. (-8, 3), 4 d. (-3, 8), 4
Answer:
d
Step-by-step explanation:
This is point-slope form, and these coordinates make both sides equal to 0.
Please help with work shown (Geometry)
Answer:
RS= 45
Step-by-step explanation:
According to the rules of the triangle...
RS = RQ
X and y are integers.
The points that fulfill all inequalities are shaded on the graph given at the end of the answer.
What are the points that respect the inequality?The points that respect the inequality must respect these three conditions:
They must be above the horizontal line y = 2.They must be to the left of the line y = 4 - x.They must be to the right of the line 2x + 2.These three lines are plotted on the graph given at the end of the answer, and the shaded region in blue is the solution to the inequality, that is, it contains the set of points that respects all three conditions.
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Help.........................................
Answer:
the bottom left graph is a function
Step-by-step explanation:
for questions like this pertaining a graph, you can use the vertical line test. essentially for a function, an x value cannot have multiple y values. so, the function cannot have any two or more points that lie on the same vertical line.
the top left graph is literally a vertical line, so that doesn't work
the top right is a circle. draw a vertical line and you see it always intersects two points
the bottom right graph draw a vertical line. two points again, right?
only the bottom left works with the vertical line test.
help pleaseeeeeeeeeeeeeeeeeeee !!
Answer:
g(x) = x² + 8x
x + 4
if x = -6 (replace x with -6 )
Using the formula above
g(-6) = -6² + 8(-6)
-6 + 4
= 36 - 48
-2
= -12
-2
(minus cancels each other)
Answer = 6
Remember you can always use a calculator to check (I'm using also)
Hope this helps xoxo :-)
1. How much of the original cake has not been shared
after the first division of the cake? How much of the
original cake has not been distributed after the fourth
division?
2.write a series that represents the amount of the original cake each person has after the fourth division.
3.how much of the original cake will each person have after the fourth division
4. Suppose you continue this process indefinitely. How much of the original cake will each of you receive?
The cake sharing process of the process using geometric progression gives the following values;
1. The amount of the cake left after the first division is one quarter of the cake
The amount of cake remaining after the fourth division is 1/256 of the original cake
2. The series is; (1/4 + 1/16 + 1/64+ 1/256 + 1/1024) of the original cake
3. 341/1024 of the original cake
4. If the process continues indefinitely each person gets (1/3) of the original cake
What is a geometric progression?A geometric progression is a sequence of numbers such that a term is found from the previous term by multiplying the previous term by a constant number.
1. Taking the dimensions of the cake as a square, let x represent the side length of the cake, we have;
Amount of cake left after the first division = x/4
The amount of the cake left after the first division is one quarter of the cakeAmount left after the second sharing = x/(4×4) = x/16
Amount left after the third division = x/(4×4) = x/(16×4) = x/64
Amount left after the fourth division = x/(64×4) = x/256
The amount of cake remaining after the fourth division is 1/256 of the original cake2. After the fourth division, each person receives x/(256×4) = x/1024
The series that represents the amount each person receives after the fourth division is therefore;
(1/4 + 1/16 + 1/64+ 1/256 + 1/1024) of the original cake3. The amount of the original cake each person gets after the fourth division is therefore;
1/4 + 1/16 + 1/64+ 1/256 + 1/1024 = 341/1024 of the original cake4. The amount each person receives is given by the sum of a geometric series up to infinity, where;
The first term, a = 1/4
The common ratio, r = 1/4
S = (1/4)/(1 - (1/4)) = (1/4)/(3/4) = (1/4)×(4/3) = 1/3
The amount of the original cake each gets if the process continues indefinitely is (1/3) of the original cake.
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Given mn, find the value of x.
(2x-16)°
(4x+4)°
Answer:
x = 32
Step-by-step explanation:
Since m||n and the angles formed are on the same transversal, the angles are corresponding angles i.e. their sum adds up to 180°
Using given data
2x - 16 + 4x + 4 = 180
==> 6x - 12 = 180
==> 6x = 180 + 12 (by adding 12 on both sides)
==> 6x = 192
x = 192/6
x = 32
Can someone help with this problem?✨
Jen made a scale drawing of a county park. The scale of the drawing was 13 inches : 6 yards. The picnic area is 42 yards wide in real life. How wide is the picnic area in the drawing?
The width of the picnic area in scale drawing is 91 inches.
How to find the width of the picnic in scale drawing?The scale of the drawing was 13 inches : 6 yards.
The picnic area is 42 yards wide in real life.
The width of the picnic area in drawing is as follows:
Therefore,
6 yards = 13 inches
42 yards = ?
cross multiply
Hence,
width of the picnic in the scale drawing = 42 × 13 / 6
width of the picnic in the scale drawing = 546 / 6
width of the picnic in the scale drawing = 91
width of the picnic in the scale drawing = 91 inches
Therefore, the width of the picnic area in scale drawing is 91 inches.
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The test scores for 9 students on the Unit 1 Test were 35, 25, 50, 95, 80, 60, 45, 100, and 90. What is the
value of the first quartile for this data set?
OA. 40
OB. 60
OC. 80
OD. 100
Answer:
40
Step-by-step explanation:
how many data? : 9
(9+1) x 1/4 = 2.5 (no 2.5: between 35 and 45)
(35+45)/2 = 40
An interior decorator needs border trim for a home she is wallpapering. She needs 51 feet of border trim for the living room, 39 feet of border trim for the bedroom, and 48 feet of border trim for the dining room. How many yards of border trim does she need? She needs yards of border trim.
Answer:
138
Step-by-step explanation:
51+39+48 because its total
A file that is 289 MB is being downloaded. If the download it is 14.1% complete, how many megabytes have been downloaded?
On this question I’m supposed to round to the nearest 10th
Answer:
40
Step-by-step explanation:
given the rule what is the new coordinate? Show all of your work. rule: (x, y) -> (x-7.5, y+6.8) original coordinate: (5, 3)
The point (5, 3) is translated using the rule (x, y) ⇒ (x - 7.5, y + 6.8) to get the point (-2.5, 9.8)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane.
The point (5, 3) is translated using the rule (x, y) ⇒ (x - 7.5, y + 6.8) to get the point (-2.5, 9.8)
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Factor the expression by factoring out the greatest common factor
32z18+8z11+12z7=
Solve the equation for v.
v over 4 minus 2 equals negative 10
v/4 - 2 = -10
v = −32
v = −48
v = 12
v = 38
Answer:
the answer is v = -32
Step-by-step explanation:
where
v/4 - 2 = -10
v/4 = -10 + 2
v/4 = -8
v = -8 × 4
v = -32
hope this helps
Answer: The answer for this question is v = -32
Step-by-step explanation: just do math.
Point G is the midpoint of segment FH. GH= 16x-19 and FG=12x+9. Find GH
The value of GH is 93.
Given,
Point G is the midpoint of segment FH.
GH= 16x-19 and FG=12x+9.
We need to find GH.
What is a midpoint?If there is a midpoint between two points the midpoint divided the line between two points into two equal lengths.
Example:
A ________B__________C
AB = BC
We have,
F_______G_______H
G is the midpoint.
GH= 16x-19
FG=12x+9.
FG = GH
16x-19 = 12x+9
16x - 12x = 9 + 19
4x = 28
x = 7
Now,
GH = 16x - 19
= 16 x 7 - 19
= 112 - 19
= 93
Thus the value of GH is 93.
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