Answer: 210
Step-by-step explanation:
We know that the number of combinations of n things taken r at a time is given by :-
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
So, number of ways to select 3 plants out of 7 = [tex]C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35[/tex]
Also number of ways to arrange them in 3 positions = 3! = 6
Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)
= 35 x 6
=210
Hence, required number of ways = 210
Since, the arrangement does not matter, we use the principle of combination, Hence, the number of display arrangement possible is 210
Total number of plants = 7 Number of spots = 3This could be defined thus as : (7C3) × 3! ;
3! = number of ways to arrange the 3 plants into the 3 spots
Recall :
nCr = [tex] \frac{n!}{(n-r)!r!} [/tex]7C3 = [tex] \frac{7!}{(7-3)!3!} = \frac{7!}{4!r3!} [/tex]
7C3 = [tex] \frac{7×6×5}{6} = 35 [/tex]
3! = 3 × 2 × 1 = 6
(7C3) × 3! = 35 × 6 = 210 ways
Therefore, there are 210 possible arrangements which can be made.
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whats the square root of 9
Answer:
the answer your looking for is 3
Step-by-step explanation:
8x+9-4x=25. I for real need help
Answer:
x=4
Step-by-step explanation:
8x+9-4x=25
8x-4x=4x (combined like terms)
4x+9=25
4x+9-9=25-9 (subtract 9 from both sides)
4x=16
4x/4=16/4
x=4
Hope this helps!
Apples cost $2 per pound. Write an equation to represent how many pounds of apples you can buy for $20
Answer:
10
Step-by-step explanation:
20/2=10
Answer:
10
Step-by-step explanation:
20÷2=10
twenty divided by two is ten
use suitable Identities and find
●( X - 5 ) ( x-5 )
●( 3x +2 ) (3x -2 )
●( 1+x )(1+x)
Answer:
[tex].[/tex]
Step-by-step explanation:
IdEnTiTy UsED[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
1)
[tex](x - 5)(x - 5)[/tex]
=(x-5)²
2)
[tex](3x - 2)(3x + 2)[/tex]
[tex] {(3 x)}^{2} - {(2)}^{2} [/tex]
[tex] = 9 {x}^{2} - 4[/tex]
3)
[tex](1+x)(1+x)[/tex]
= (1+x)²
Pete ate 3/7 of a pizza if Pete ate 9 slides of the pizza how many slices were ther all together
Answer:
21 slices
Step-by-step explanation:
given:
3/7 of a pizza ----> represents 9 slices
hence,
1/7 of a pizza -------> represents 9/3 = 3 slices
therefore
a whole pizza
= 7/7 of a pizza -------> represents 3 x 7 = 21 slices
Answer:
Hi there!!
Your answer is:
21 slices
Step-by-step explanation:
3/7ths = 9 slices
× 7/3
1 whole pizza = 21 slices
This is called the multiplicative inverse! 3/7 × 7/3 = 1
Hope this helps!
If (8^9)p=8^18,what is the value of p? 20 points
[tex]:\implies\sf\:(8^9)^p=8^{18}[/tex]
[tex]\dag\bf\:(a^m)^n=a^{mn}[/tex]
[tex]:\implies\sf8^{9p}=8^{18}[/tex]
[tex]\dag\bf\:18=9\times 2[/tex]
[tex]:\implies\sf\:8^{9p}=8^{9\times 2}[/tex]
[tex]\dag\bf\:a^x=a^y\:\longrightarrow\:x=y[/tex]
[tex]:\implies\sf\:9p=9\times 2[/tex]
[tex]:\implies\boxed{\bf{\red{p=2}}}[/tex]
Mrs. Bell has an interest rate of 4.175% on her house. Mr. Bentley has an interest rate of 4.25% on his house. Which explains who has the lower interest rate?
A.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 0 thousandths is less than 5 thousandths.
B.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 5 hundredths is less than 7 hundredths.
C.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 7 hundredths is less than 5 hundredths.
D.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 tenth is less than 2 tenths.
Answer: D. Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 the third is less than 2 tenths.
Answer:
D
Step-by-step explanation:
emily created the net worth statement shown. Based on the Information in the table, what is emilys net worth ?
Answer:
the answer is B
Step-by-step explanation:
net worth is liabilities minus assets
pls help asap!! Thank you! :D
What is the solution set for the inequality Negative one-fourthx2(x – 4)(x +5) ≤ 13?
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Aaron bought 8 red flags for the parade. Large flags cost $20 each. Medium flags cost $12 each. Aaron spent $112 in all. How many large flags (L) and how many medium flags (M) did he buy?
Answer:
Step-by-step explanation:
Price assuming he bought all large flags: [tex]20*8=160[/tex]
Amount of money more: [tex]160-112=48[/tex]
Difference of price in both flags: [tex]20-12=8[/tex]
Medium Flags: [tex]48\div8=6[/tex]
Large Flags: [tex]8-6=2[/tex]
----------------------------------
The reason why this works, is because the amount of money more comes from the difference between both flags.
Solve the equation for X
4=6/ax+5
Answer:
x - 4 = 10 Solution.
2x - 4 = 10 Solution.
5x - 6 = 3x - 8 Solution
2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3 Solution.
Solution.
Step-by-step explanation:
The value of x in the given expression is -a/6
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 4 = 6x / a + 5
Solving for x, we get,
4 = 6x / a + 5
Subtracting 5 both the side,
6x / a = -1
Multiplying by a both the sides,
6x = -a
Dividing by 6 both sides,
x = -a/6
Hence, the value of x is -a/6
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The PTA has 25 members. Each member must pay $5.50 in membership dues. In the first week of school, 11 members paid their dues. The remaining members paid during the second week. How much money was collected in dues during the second week of school?
Answer:
$77.00
Step-by-step explanation:
25-11= 14
14 x 5.50= 77
Plss help will give brainliest
If n(x)=4x-7, m(x) must be equal to which expression?
Step-by-step explanation:
the question is not understood plz clarify it
Answer:is 2 over 4|/x
Step-by-step explanation:
When you add a positive and negative number, how can you tell whether the sum will be positive or Negative?
Answer:
just remember this:
negative x negative = positive
positive x positive = positive
postive x negative = negative
negative x postive= negative
lookon bbcbitesize for adding negatives and positive rule
Convert 5 and 2/7 into a improper fraction.
Answer:
14 divide 5 =3.1 is your answer if I'm not wrong
Answer:
37/7
Step-by-step explanation:
First you multiply 5 by the denominator which is 7 which will equal to 35 and then you add the numerator which is 2 to that and you get 37/7
Himari is solving the equation 4( x - 3 ) =16. Her first step is 4x - 12 = 16 math nation
Steps to solve:
4(x - 3) = 16
~Distribute left side
4x - 12 = 16
~Add 12 to both sides
4x = 28
~Divide 4 to both sides
x = 7
Best of Luck!
One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 510, find the numbers
Answer:
82
Step-by-step explanation:
solve a + (3a) + (a + 100)=510
What the answer to this math problem 6x-8=4(x+2)-7 ?
Answer:
x = 9/2
Step-by-step explanation:
6x - 8 = 4(x + 2) - 7
Distribute on the right side.
6x - 8 = 4x + 8 - 7
Combine like terms on the right side.
6x - 8 = 4x + 1
Add 8 to both sides. Subtract 4x from both sides.
2x = 9
Divide both sides by 2.
x = 9/2
point e is the midpoint of segment DF.if de is 8 what is the length of df
What conclusion can be drawn by observing that 20 is to the right of 10 on a number line?
For a triangle, m<1 =75 and m<3 =40 what does m<2 =?
Answer:
m<2 = 65
Step-by-step explanation:
The measures of angles 1 and 3 should be added together resulting in 115 degrees, and all triangles equal 180 degrees. Therefore, to find m<2, you have to subtract 115 from 180 resulting in a measure of 65 degrees.
Seven more than twice a number is 17
Answer:
2x + 7 = 17 using algebra equation you can resolve ir
100 pts, Easy question: 2 + (-4)
Answer:
2 + (-4) equals -2
Answer:
-2
Step-by-step explanation:
A positive number plus a negative number equals another negative number
14x-10=3 (4+x); solve for x
Answer:
x = 2
Step-by-step explanation:
So we are given the equation 14x - 10 = 3(4 + x) and we are asked to solve for x. To this, we will have to get x by itself on one side and a value on the other side.
14x - 10 = 3(4 + x)
Distribute the 3 on the right side.
14x - 10 = 12 + 3x
Add 10 to both sides.
14x = 22 + 3x
Subtract 3x from both sides.
11x = 22
Divide both sides by 11.
x = 2
So now we got the answer of x = 2.
I hope you find my answer helpful.
Answer:
x = 2
Step-by-step explanation:
14x - 10 = 3(4+x)
=> 14x -10 = 12 + 3x
=> 14x - 3x = 12 + 10
=> 11x = 22
=> x = 22/11
=> x = 2
3) There are 35 people living in poverty and 42 people not living in poverty
1) John says that the ratio of people living in poverty to the people not living in poverty is 5:7. Explain why John is or is not correct. Use a diagram to support your answer.
Answer:
John is not correct
Step-by-step explanation:
(Unless you meant 5:6)
Make the base question into [tex]\frac{35}{42}[/tex]
simplify as much as possible. I found the Greatest Common Denominator (GCF) of 35 and 42, which was 7
divide 35 and 42 by the GCF (7), and you should get 5:6 as your answer.
Explain why the function is discontinuous at the given number
Answer:
left limit = 2 ≠ 1/2 = right limit
Step-by-step explanation:
A function is discontinuous if the limit of the function value approaching the point from the left is different than the limit approaching from the right.
Here, the left limit is 2 and the right limit is 1/2. The limits are different, which is why the function is discontinuous at x=-1.
Which information do you know is true from the diagram? Check all that apply.
∠ABD is a right angle.
Ray B C bisects angle ∠ABD.
m∠ABC = 45°
m∠CBD = 45°
m∠ABD = 90°
Answer:
a and e
Step-by-step explanation:
All the given option are true.
m∠ABC = 45° (true)
m∠CBD = 45° (true)
m∠ABD = 90° (true)
What is angle bisector ?
angle bisector is the line which divides the given angle into two equal parts.
Here, it is given that the angle [tex]\angle ABD[/tex] is a right angle triangle that is it will make an angle of 90 degree and the angle bisrector BC will divide the angle into two equal part that is [tex]\angle ABC = \angle BCD = 45^{o}[/tex].
Therefore, all the given conditions are true.
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Write the sentence as an inequality. Three times a number r plus 8 is fewer than −12
Answer: [tex]3r+8<-12[/tex].
Step-by-step explanation:
It is given that three times a number r plus 8 is fewer than −12.
We need to write the sentence as an inequality.
Three times a number r = 3r
Times a number r plus 8 = 3r+8
Fewer than = less than = <
So, the inequality for the sentence "three times a number r plus 8 is fewer than −12" is
[tex]3r+8<-12[/tex]
Therefore, the required inequality is [tex]3r+8<-12[/tex].
The inequality that describes the sentence is:
[tex]3r + 8 < -12[/tex]
--------------------------------
3 times 1 is [tex]3 \times 1 = 3[/tex], 3 times 2 is [tex]3 \times 2 = 6[/tex], and so on, thus 3 times a number r is [tex]3 \times r = 3r[/tex].The plus word means that we have an addition operation, plus 8, thus [tex]3r + 8[/tex]Fewer than -12 means that the less than -12 completes the inequality, thus:[tex]3r + 8 < -12[/tex]
Which is the inequality that describes this situation.
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