Since 7y is common to both factors, hence the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
Greatest common factor of an expressionThe greatest common factor is the value that will divide an expression without leaving a remainder.
Given the expression 21xy + 14y
Find the factors
21xy = 7 * 3 * x * y
14y = 7 * 2* y
Since 7y is common to both factors, hence the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
Learn more on GCF here: https://brainly.com/question/219464
#SPJ1
Luke was asked to find the median of the following numbers:
16, 24, 12, 7, 30, 11, 22
The work below shows the steps he used.
The numbers 7, 11, 24, and 30 are crossed out. StartFraction 16 + 22 Over 2 EndFraction = StartFraction 38 Over 2 EndFraction = 19.
What error did Luke make?
He forgot to put the numbers in order first.
He crossed off the low and high pairs incorrectly.
He left out a number when putting the numbers in order.
He did not make an error.
The mistake made by Luke is that he forgot to arrange the numbers in order first before finding the median.
How to find the median of a data?The median is the middle number of a distribution when arrange in ascending or descending order.
7, 11, 12,16, 22, 24, 30
The number has been arrange from the smallest to the largest.
Therefore, the median can be calculated as follows:
median = 16
Therefore, Luke forgot to put the numbers in order first.
learn more on median here: https://brainly.com/question/26742240
#SPJ1
Answer: (C)
100% Correct Answer! Pls, give me brainliest. Thank You!
Leslie set up a fruit stand to sell some of her crop of oranges. The first person who came by bought 1/3 of her oranges. The second person bought 4 oranges. The thrid person bought 1/4 of the REMAINING oranges. Leslie took the last 15 oranges home to make orange juice. How many oranges did Leslie have at the beginning?
Answer:
36
Step-by-step explanation:
Let's say Leslie starts with x oranges.
The first person buys 1/3 of the oranges, leaving behind 2/3 x.
The second person buys 4 oranges, leaving behind 2/3 x − 4.
The third person buys 1/4 of the remaining oranges, leaving behind:
3/4 (2/3 x − 4)
This amount equals 15. Solving for x:
15 = 3/4 (2/3 x − 4)
20 = 2/3 x − 4
24 = 2/3 x
36 = x
Reliable food sources and the ability to settle in one place contributed to what?
A. The Architectural Revolution.
B. Equal distribution of resources to all.
C. The beginning of hunter-gatherer societies.
D. Growth of the world's population.
Answer: A: sorry if I'm wrong but that's what I was told
Step-by-step explanation:
2x-3y=7
-3x +7y = - 8
4x-3y = 9
2x + 3y = 9
SOLVE BOTH EQUATIONS??
Answer:
(5, 1 ) and (3, 1 )
Step-by-step explanation:
2x - 3y = 7 → (1)
- 3x + 7y = - 8 → (2)
multiplying (1) by 3 and (2) by 2 and adding will eliminate x
6x - 9y = 21 → (3)
- 6x + 14y = - 16 → (4)
add (3) and (4) term by term to eliminate x
0 + 5y = 5
5y = 5 ( divide both sides by 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
2x - 3(1) = 7
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
solution is (5, 1 )
------------------------------------------------------------
4x - 3y = 9 → (1)
2x + 3y = 9 → (2)
adding the 2 equations term by term will eliminate y
6x + 0 = 18
6x = 18 ( divide both sides by 6 )
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (2)
2(3) + 3y = 9
6 + 3y = 9 ( subtract 6 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
solution is (3, 1 )
Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?
82°
92°
102°
112°
Answer:
102 deg
Step-by-step explanation:
The sum of the interior angles of a n-gon
are equal to ( n-2)*180
for a pentagon ( 5-2)(180) = 540
88+118+132+100 + x = 540 x= 102 deg
Answer:
C. 102 is correct
Step-by-step explanation:
just took test
Harper surveyed 800 of the students in her school about their favorite color. 424
students said their favorite color was blue. What percentage of the surveyed students
said their favorite color was blue?
Using it's concept, it is found that the percentage of students surveyed that said their favorite color was blue was of 53%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, 424 out of the 800 students surveyed said their favorite color was blue, hence the percentage is given by:
[tex]P = \frac{424}{800} \times 100\% = 53\%[/tex]
More can be learned about percentages at https://brainly.com/question/10491646
#SPJ1
Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
Note: Enter only the simplified result.
Answer: 1
Step-by-step explanation:
First, we will translate this into an algebraic expression.
-> Quotient means we will be using divison
-> Product means we will be using multiplciation
the quotient of 12 and the product of 3 and 4
[tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]
[tex]\displaystyle \frac{12}{3*4}[/tex]
Now, I will simplify.
Given:
[tex]\displaystyle \frac{12}{3*4}[/tex]
Multiply:
[tex]\displaystyle \frac{12}{12}[/tex]
Divide:
1
Read more about your problem here:
https://brainly.com/question/14709417
SOMEONE PLEASE HELP IVE BEEN WAITING FOREVER
Answer:
Only option A. cannot be simplified; is in its simplest form.
Step-by-step explanation:
In order for A. to have a simplified form, it must have a specified degree or leading term, which it does not have, making it impossible to simplify.
(07.03 MC)
What is the solution to the following equation? (1 point)
4(3x − 11) + 23 = 5x − 14
0
1
10
14
Answer:
1
Step-by-step explanation:
[tex]~~~~~~4(3x-11) +23 = 5x -14\\\\\implies 12x -44 + 23 -5x +14 = 0\\\\\implies 7x-7=0\\\\\implies 7x = 7\\\\\implies x = \dfrac 77 \\\\\implies x = 1[/tex]
Answer:x=1
Step-by-step explanation: did the test
A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
From the equation y = 4x, each strawberry contains 4 calories.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the number of calories in x strawberries. Hence:
y - 0 = [(27 - 0)/(6.8 - 0)](x - 0)
y = 4x
From the equation y = 4x, each strawberry contains 4 calories.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Answer:
a
Step-by-step explanation:
I can’t figure this out…going on 4 hours now
Answer:2: 95/215, 3: 95/580, 4: 210/330 5: 365/580
Step-by-step explanation:probability=outcome in question/the total number in the given category
Please help I am so confused
Evaluate -6b+8t where b=-9 and t=-9
Answer:
-18
Step-by-step explanation:
If you plug the number values into the equation, it would be -6(-9)+8(-9) when then turns out to be 54+(-72) which is -18
Which statements can be used to accurately compare the functions? Select two options. [ g(x) has the lowest minimum. f(x) has the greatest maximum. All three functions have a y-intercept. All three functions have an x-intercept. 2 The domain of all three functions is the same.
The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
From the graph, we can see all the functions have y-intercept:
At x = 0
f(0) = 1
g(0) = -1/2
h(0) = -5
The f(x) has the greatest maximum, which is 10
Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
y= x^2-4x+3 in vertex form
Answer:
[tex]y=(x-2)^2-1[/tex]
Step-by-step explanation:
Complete the square
[tex]y=x^2-4x+3\\\\y+1=x^2-4x+3+1\\\\y+1=x^2-4x+4\\\\y+1=(x-2)^2\\\\y=(x-2)^2-1[/tex]
WHAT ARE THE ANSWERS TO 1,2,3,4 SOMEONE PLEASE HELP ME!!!!
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option for 1,2,3, and 4 are C,B,A, and C, respectively.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A.) The Set which represents the integers is in the third option.
{.....,-3,-2,-1,0,1,2,3......}
B.) The property that is shown is option B, the cumulative property of multiplication.
C. The expression can be rewritten as,
4(x+5)-3(x+2) = 14
4x + 20 - 3x - 6 = 14
Thus, the correct option is the first option.
D.) The simplification of the expression (x⁵y²z)/(x³y⁶) can be done as,
(x⁵y²z)/(x³y⁶) = (x²z)/(y⁴)
Thus, the correct option is C.
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ1
Translate (10,8) down 5
Answer:
A (10,3)
Step-by-step explanation:
A group of 5 friends each have x action figures in their collections. Each friend buys 6 more action figures. Now the 5 friends have a total of 150 action figures. How many action figures did each friend start with?
Answer:
29
Step-by-step explanation:
The problem is 5x + 6 = 150
I subtract 6 from each sides except the one with the variable.
6 - 6 = 0 and 150 - 6 = 144.
Then I bring 5x down.
Then I divided 5x with 5 and 144 with 5.
I got 28.8 for x, which means the friends had 28.8 action figures each.
And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.
I think I that makes sense.
Help :') ................................
Answer:
1. 90
2. 120
3. 30
4. 60
Step-by-step explanation:
Hope it helps
Please help I will mark Brainly
8 is added to the quotient of 36 divided by 4
Answer: (36/4)+8
Step-by-step explanation: brainliest?
Answer:
36/4 +8 = 17
Step-by-step explanation:
thanks and brainliest
what is the surface area of this? giving out 30 pts
PLEASE HELLPPPP Ms. Rudolph randomly selects one student from a group of students.
are wearing a black shirt, 6 students are wearing a red shirt, and 9 students are
wearing a blue shirt.
Show your work to determine the PROBABILITY that the selected student is
wearing a BLACK shirt?
You may write your answer as a FRACTION or DECIMAL.
Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:
[tex]p = \frac{n}{n + 15}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:
[tex]p = \frac{n}{n + 15}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Amanda's math certificate is 7 inches tall and
11 inches wide. Amanda wants to put the
certificate in a fancy frame that costs $3.00
per inch. How much will it cost to frame
Amanda's math certificate?
Answer:
ten inches
Step-by-step explanation:
because the frame will focus on it wider the tall will not fall in so you will divide the wide inches and you will mutiple it by the tall inches
MEAN, MEDIAN AND MODE OF GROUPED DATA
See the attached files!!!!
15 (y - 4 ) - 2 ( 9y - 11 ) = 4 (8z - 13)
Answer to the given equation is 32z + 3y = 14.
Step 1: Given data: The given equation is 15 (y - 4) - 2 (9y - 11 ) = 4 (8z - 13)Step 2: Solving the above equation,15y - 60 - 18y + 22 = 32z - 52
- 3y - 38 = 32z - 52
- 3y + 52 - 38 = 32z
- 3y + 14 = 32z
32z + 3y = 14
Hence, we get 32z + 3y = 14
Learn more about solving linear equations, refer:
https://brainly.com/question/2159099
What is the volume of the solid
Answer:
A.264
Step-by-step explanation:
((Area Of triangle*height)=Volume
Area of triangle is the base of the triangle multiplied by height of triangle divided by 2
((8*6)/2)*11=264
answer this, will give brainlist
Answer:
(-3, -10)
Step-by-step explanation:
We are asked to solve the system of equations simultaneously.
We need to equate the equations.
=============================================================
Solving :
⇒ -4 + 2x = 4x + 2
⇒ 4x - 2x = -4 - 2
⇒ 2x = -6
⇒ x = -3
============================================================
Finding y :
⇒ y = 4(-3) + 2
⇒ y = -12 + 2
⇒ y = -10
============================================================
Hence, the solution :
(-3, -10)
We have to solve them graphically as per question
y=-4+2xSome points has already been found
y=4x+2Graph attached
Solution is
(-3,-10)k dived by 11 is 7
solve for k
Answer:
k = 77
Step-by-step explanation:
[tex]\frac{k}{11} =7\\\\\rightarrow 11 * 7 = 77\\\rightarrow 77 \div 11 = 7[/tex]
Answer:
k = 77
Step-by-step explanation:
The question in equation form is :
[tex]\frac{k}{11} =7[/tex]
Now we multiply both sides by 11 to solve for k :
k = 7×11
k = 77
Hope this helped and brainliest please
What is the volume of a gift box with a length of
12 inches, a width of 5 inches, and a height of
3 inches?
Answer:
180 inches
Step-by-step explanation:
The volume of a rectangular prism is length x width x height. So you would do (12)x(5)x(3) which would get you 180 inches.
Are 100 10 and 5 1 equivalent rates ? Pls answer quick
Answer:
No
Step-by-step explanation:
I don't think so