Answer:
E) 22
Step-by-step explanation:
To solve this, use process of elimination. (If they are both '☆'s, it is the answer.)
A)32
3n+1 x 5n+2 ☆
B) 10
3n+1 ☆ 5n+2 x
C) 26
3n+1 ☆ 5n+2 x
D) 1000
3n+1 ☆ 5n+2 x
E) 22
3n+1 ☆ 5n+2 ☆
The answer is E) 22
n
2. (a) If ^nP2= 20, find the value of n.
2
Answer:
[tex]n = 5[/tex]
Step-by-step explanation:
Given
[tex]^nP_2 = 20[/tex]
Required
Find n
To do this, we apply permutation formula.
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
So, we have:
[tex]\frac{n!}{(n-2)!} = 20[/tex]
Expand the numerator
[tex]\frac{n(n-1)(n-2)!}{(n-2)!} = 20[/tex]
Divide by (n-2)!
[tex]n(n-1)= 20[/tex]
Expand
[tex]n^2 - n = 20[/tex]
[tex]n^2 - n - 20 = 0[/tex]
Expand
[tex]n^2 +4n -5n - 20 = 0[/tex]
Factorize
[tex]n(n+4)-5(n+4)= 0[/tex]
[tex](n-5)(n+4) = 0[/tex]
[tex]n - 5 = 0[/tex] or [tex]n + 4 = 0[/tex]
[tex]n = 5[/tex] or [tex]n = -4[/tex]
Since n cannot be negative, then:
[tex]n = 5[/tex]
4/5 - 2/3 =
Find equivalent fractions and rewrite the problem and solve
Answer:
1001/1500
Step-by-step explanation:
The easiest method for doing this is to just average the two numbers.
e.g. to find a number x between the two numbers ab and cd
x=12[ab+cd]
=12[adbd+bcbd]
=ad+bc2bd
In this case…
x=(2×5)+(3×4)2×2×5=10+1230=2230=1115
You can easily see where that came from.
23=1015 and 45=1215
and the ‘common denominator’ means you just have to pick a value between 10 and 12 . i.e. 11
But you can also say…
23=100150 and 45=120150
and choose any of 101150,102150,...,119150
or
23=10001500 and 45=12001500
and choose any of 10011500,10021500,...,11991500
Answer:4/5 and 2/3 each have a common bottom of 15 so 4/5 is
12/15 and 2/3 will be 10/15
Step-by-step explanation:So than 12/15 forget the bottom don't subtract the bottom just look at it like [12-10] then you got 2 then you go back to the bottom and put it together so your answer is [2/15]
HOW DO YOU FIND PERCENT INCREASE
Answer:
Step-by-step explanation:
First: work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then: divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100
If your answer is a negative number, then this is a percentage increase
The frequency table shows the scores from rolling a dice 10 times.
Work out the mean
Answer: 16/5 or 3.2
Steps:
=> 1× 2 + 2× 2 + 3× 2 + 4× 1 + 5 ×2 + 6 ×1/ 2+2+2+1+2+1
=> 16/5 or 3.2 (answer)
You've decided to give your best friend a
bag of marbles for his birthday.
Since you know that your friend likes
green marbles better than red ones, the
bag has twice as many green marbles as
red.
The label on the bag says it contains a
total of 84 marbles.
How many green marbles are in the bag?
Number of green marbles in the bag is equals to [tex]56.[/tex]
What is number?
" Number is defined as the count of any given quantity as per condition."
According to the question,
Given,
Total number of marbles [tex]= 84[/tex]
[tex]'x'[/tex] represents the number of red marbles
As per given condition,
[tex]'2x'[/tex] represents the number of green marbles
Required equation we have,
[tex]x + 2x = 84\\\\\implies 3x =84\\\\\implies x = \frac{84}{3} \\\\\implies x = 28[/tex]
Substitute the value of [tex]'x'[/tex] to get number of green marbles ,
Number of green marbles [tex]2x = 2\times 28[/tex]
[tex]= 56[/tex]
Hence, number of green marbles in the bag is equals to [tex]56.[/tex]
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write the equation of the image y=x^2 after vertically stretched by a factor of 2 and horizontally shifted 3 units to the left
Answer:
2=3^2?????
Step-by-step explanation:
y=x^2
(3,2)
substitute
2=3^2
If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two numbers?
- 12
- 13
- 15
- 18
- 20
Answer:
18
Step-by-step explanation:
xy + 4 = 40
xy = 40 - 4
xy = 36
What two numbers can b multiplied to give 36? Then add them.
9 + 4 = 13
18 + 2 = 20
6 + 6 = 12
12 + 3 = 15
The odd option is 18
The 18 will not be the sum of the two numbers for the given option so option (D) will be correct.
How to form an equation?
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say that two numbers are x and y
Given,
Multiply two integers together and then add 4, the result is 40.
So,
xy + 4 = 40
xy = 36
The possible two numbers whose multiplication gives 36 are
(6 ,6) , (9,4),(12,3) and (18,2)
So the sum would be 12, 13, 15 and 20
The Remaining is 18.
Hence "The 18 will not be the sum of the two numbers".
For more about the equation,
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A student organization at a local college posted a poll on its website. After a semester, the results were tallied, and it was found that 95% of the respondents were in favor of raising fees to increase funding for student organizations. This conclusion was based on data collected from 5000 votes cast on the website. Which sampling technique is being used
Answer: voluntary response sampling
Step-by-step explanation:
Based on the information given in the question, the sampling technique that is being used is the voluntary response sampling.
A voluntary response sampling refers to a sample which is gotten when a researcher tells the members to join a particular sample and then the ones that are interested then joins. Such participants volunteer voluntarily and take part in the research studies and give their opinions on the topic.
Since the student organization at a local college posted a poll on its website and the interested students took part, it is a voluntary response sampling.
Simplify the following monomials 1-12
Answer:
1. [tex]x^{8}[/tex]
2. [tex]k^{45[/tex]
3. [tex]m^{6}n^{21}[/tex]
4. [tex]64w^{18}[/tex]
5. [tex]81y^{12}[/tex]
6. [tex]16x^{4}[/tex]
7. [tex]-125y^{9}[/tex]
8. [tex]a^{36}b^{4}[/tex]
9. [tex]\frac{1}{128} x^{28}[/tex]
10. [tex]54a^{6}[/tex]
11. [tex]8k^{10}[/tex]
12. [tex]-\frac{16}{9} p^{24}[/tex]
Step-by-step explanation:
jojo makes 100 working eight hours. Trish earned 25 working one hour. How much more money does Trish make than Jojo after 10 hours?
Answer:
Jojo makes 1000 and Trish makes 250
Step-by-step explanation:
I hope this helped
Answer:
Trish makes $125 more than Jojo after 10 hours
Step-by-step explanation:
$125 jojo
$250 Trish
How many applications will your mother actually use on her new cell phone?
Solve the equation you wrote in part b to find the unknown variable. (2 points)
Answer:
24
Step-by-step explanation:
pls help me math its due today
Answer:
For multiplication you added the exponents and for division you minus the exponents
Answer:
kdkdjdduidddsisiodiod
10√1/5 find the mixed surd..
Answer:
2√5............or..........4.47214
please help if you are good at math :( thank you
Answer:
your answer will be
A)(6,10)
B)(2,12)
C)(4,4)
Step-by-step explanation:
hope this helps
have a nice day/night ^_^
Cab A charges $20 at the start and $5 every mile after . Cab B charges $30 no matter how far you go. What are their initial values and their rates of change? When will their fares be equal?
Answer:
Car A: Initial Charge = 20
Car B: Initial Charge = 30
Car A: Rate = 5
Car B: Rate = 0
At 2 miles, their charges will be the same
Step-by-step explanation:
Given
Car A
[tex]Base\ Charge = \$20[/tex]
[tex]Rate = \$5[/tex] per mile
Car B
[tex]Base\ Charge = \$30[/tex]
Solving (a): The initial charge
First, we get the linear equation that represents both car's charges.
Represent number of miles with m.
So, the charges is:
Car A
[tex]A = Base\ Charge + Rate * m[/tex]
[tex]A = 20 + 5 * m[/tex]
[tex]A = 20 + 5m[/tex]
Set m to 0 to get the initial charge:
[tex]A = 20 + 5*0[/tex]
[tex]A=20[/tex]
and
[tex]Rate = 5[/tex]
Car B:
[tex]B = Base\ Charge + 0 * m[/tex] i.e. Rate is 0
[tex]B = 30+ 0 * m[/tex]
[tex]B = 30[/tex]
So:
[tex]Initial = 30[/tex] and [tex]Rate = 0[/tex]
Solving (b): When their charge wil be equal.
To do this, we set:
[tex]A = B[/tex]
[tex]20 + 5m = 30[/tex]
[tex]5m = 30- 20[/tex]
[tex]5m = 10[/tex]
[tex]m = 2[/tex]
At 2 miles, their charges will be equal
hacmin birimi ...... ve ......dır
Answer:
?
Step-by-step explanation:
don't get your question
detrmine if 7, 5, 84, 48 are in proportion or not
Answer:
No, the numbers are not in proportionStep-by-step explanation:
The proportion between the first two and the second two numbers are:
7/5 and 84/48Simplifying the second fraction:
84/48 = 7*12/4*12 = 7/4Comparing the fractions:
7/5 ≠ 7/4The answer is no
What is the y-intercept of the equation of the line that is perpendicular to the line and passes through the point (15,-5)?
Answer:
hi
Step-by-step explanation:
First of all let’s find out the slope of the line y = x +10
As, we know the equation y= mx + c . So comparing the given equation with the general equation we get, m = 1
Now, we know that the product of two perpendicular lines is -1.
Thus, mn = -1 (considering slope of the second line as n)
Putting the value of m we get , n = -1
Now , y+5= -1( x -15) i.e y=-x + 10
if we compare again with the general equation then we find that.
The y intercept of the required equation is 10.
Thank You
Answer:
10
Step-by-step explanation:
First of all let’s find out the slope of the line y = x +10
As, we know the equation y= mx + c . So comparing the given equation with the general equation we get, m = 1
Now, we know that the product of two perpendicular lines is -1.
Thus, mn = -1 (considering slope of the second line as n)
Putting the value of m we get , n = -1
Now , y+5= -1( x -15) i.e y=-x + 10
if we compare again with the general equation then we find that.
The y intercept of the required equation is 10.
Thank You
x
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The probability of drawing a blue ball from Bag A is 1/5 and the
probability of drawing a red ball from Bag B is 2/3.
What is the probability of drawing a blue ball from Bag A AND a red
ball from Bag B?
Answer:
the probability of drawing a blue ball from bag A is 1/5 and the probability of drawing a red ball from bag B is 2/3.
The probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.
What is the definition of probability?
Probability denotes the likelihood of something happening. It is concerned with the occurrence of an unpredicted event.
Probability can only have a value between 0 and 1. Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of events is known as the favorable event ratio.
The probability of drawing a blue ball from Bag A is, 1/5
The probability of drawing a red ball from Bag B is, 2/3.
P(A)=1/5
P(B)=2/3
The probability of drawing a blue ball from Bag A and a red ball from Bag B will be;
P(A and B)=P(A). P(B)
P(A and B)=(1/5)×(2/3)
P(A and B)=(2/15)
Hence,the probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.
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In ΔABC, the measure of ∠C=90°, the measure of ∠B=15°, and BC = 2.8 feet. Find the length of CA to the nearest tenth of a foot.
Answer:0.8 feet
Step-by-step explanation:got it right
3/4(1/6x+16)=3/7(4 3/8x-21) I WILL AWORD BRILLENEST :>
Answer:
x=12
Step-by-step explanation:
Let's solve your equation step-by-step.
34(16x+16)=37((438)(x)−21)
Step 1: Simplify both sides of the equation.
18x+12=158x−9
Step 2: Subtract 15/8x from both sides.
18x+12−158x=158x−9−158x
−74x+12=−9
Step 3: Subtract 12 from both sides.
−74x+12−12=−9−12
−74x=−21
Step 4: Multiply both sides by 4/(-7).
(4−7)*(−74x)=(4−7)*(−21)
x=12
Answer:
x=12
Answer:
x = 12
Step-by-step explanation:
34(16x + 16) = 37((438)(x) − 21)
18x + 12 = 158x − 9
18x + 12 − 158x = 158x − 9 − 158x
−74x + 12 = −9
−74x + 12 −12 = −9 −12
−74x = −21
(4−7) × (−74x) = (4−7) × (−21)
x = 12
I need help fast i apericiate it my guy
Answer: 59
Step-by-step explanation:
Answer:
I think it's letter b.29
Last week, the Bay City Bus Company tracked how long their school buses took to complete their routes. This box plot shows the results. Length of route (min.) 24 26 28 30 32 34 What percent of the buses completed their routes in 27 to 30 minutes?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Plot: \{24, 26, 28, 30, 32, 34\}[/tex]
Required
Determine the percentage of those who uses the bus for 27 to 30 mins
The box plot is not given. So, I will make assumptions in order to solve this question.
Assume the following readings from the box plot:
[tex]Total\ Buses= 60[/tex]
[tex]27-30\ Minutes = 20\ buses[/tex]
Using these assumptions, the required percentage is:
Total = 6
27 to 30 minutes = 2
[tex]Percent = \frac{27\ to\ 30\ mins}{Total} * 100\%[/tex]
[tex]Percent = \frac{20}{60} * 100\%[/tex]
[tex]Percent = \frac{2000}{60} * \%[/tex]
[tex]Percent = 33.33 * \%[/tex]
Answer:
50%
Step-by-step explanation:
I took the test!
MY
2B =
Cou
Round your answer to the nearest hundredth.
SA
A
MY
Pro
9
Pro
Tea
B
5
Answer:
<B = 56.25°
Step-by-step explanation:
Reference angle = B
Hypotenuse = AB = 9
Adjacent = BC = 5
Applying trigonometric ratio:
[tex] cos (B) = \frac{adj}{hyp} [/tex]
[tex] cos (B) = \frac{5}{9} [/tex]
[tex] B = cos^{-1}(\frac{5}{9}) [/tex]
B = 56.25° (nearest hundredth)
Willy the Wombat is 50 feet from a tree. The tree is 75 feet tall. At what angle of elevation should Willy look to see the top of the tree? Round to the nearest degree
(2,3), y = (3/2)x - 1
I'm just as confused as you are
Does anyone have the link to this or have the pages please help
Answer:
I personally don't, but if you search up graph helper you could answer all of them. Hope you find the answer.
Step-by-step explanation:
Ethan says that if the diameter of a bicycle wheel is 3.5 feet then its
radius must be 1.75 feet. Is Ethan correct?
Answer: Yes he is correct
Explanation:
The radius is half the diameter
radius = diameter/2 = 3.5/2 = 1.75
Answer:
yes hes right.
Step-by-step explanation:
d = 2 x 1.75
d = 3.5
c = 2 x pi x 1.75
c = 3.5
ur answer is 3.5 ethans right
What is the difference between 4/5- 1/2 *
Answer:
0.3
Step-by-step explanation:
Answer:
3/10
Step-by-step explanation:
1. find the lowest common denominator which is 10.
2. for 4/5 you have to multiply 5 by 2 in order to get 10, so you multiply the numerator by 2 as well which gives you 8/10.
3. for 1/2 you have to multiply 2 by 5 in order to get 10, so you multiply the numerator by 5 also which gives you 5/10
4. you work out the difference between both numerators which is 3 and keep the denominator the same
Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant
Answer:
20 cookies
Step-by-step explanation:
Range of a data set plotted on a box plot = the maximum value - the minimum value
The maximum value is indicated by the whisker to your extreme right = 25
The minimum value is indicated by the whisker to your extreme left = 5
Range = 25 - 5 = 20