Answer:
Proved
Step-by-step explanation:
Given
[tex](n+5)^2-(n+3)^2[/tex]
Required
Show that [tex](n+5)^2-(n+3)^2[/tex] is a multiple of 4
Expand each bracket
[tex](n+5)(n+5)-(n+3)(n+3)[/tex]
Open brackets
[tex]n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)[/tex]
[tex]n^2 + 10x + 25 - (n^2 + 6x + 9)[/tex]
Open bracket
[tex]n^2 + 10x + 25 - n^2 - 6x - 9[/tex]
Collect Like Terms
[tex]- n^2 + n^2 - 6n + 10n + 25 - 9[/tex]
[tex]- 6n + 10n + 25 - 9[/tex]
[tex]4n + 25 - 9[/tex]
[tex]4n + 16[/tex]
Factorize
[tex]4(n + 4)[/tex]
Hence, the multiples of [tex](n+5)^2-(n+3)^2[/tex] are [tex]4[/tex] and [tex](n + 4)[/tex]
Please solve this problem
Deanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest.
Write an equation that relates the total slices of pizza, T, to the number of guest, g.
Thanks
Answer:
3g + 8 = T
Step-by-step explanation:
3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.
Hope this helps :D
There are 4 boys eating oranges. Each boy eats 1 / 2 of an orange. How many oranges did the boys eat?
Answer:
2 oranges
Step-by-step explanation:
Two halves make a whole orange, and since there's four of them, they are eating 2 oranges.
Answer:they would have eaten 2 because 1/2+1/2 is a whole and since there are 4 boys eating 1/2 of an orange they would have eaten 2 oranges
1. You notice that you only have 13 pound of cheese and 34 cup of milk. How much
more cheese and milk will you need to get?
2. What if the store only sells the cheese in 1-pound packages and the milk in 4-cup Cartoons? How many of each would u need to buy, and how much would you have left over?
3. Now you decide to mix the dry mustard and salt ahead of time to make a seasoning mix. Add the two ingredients to show how much of the seasoning mix you have.
Answer:
Yoyo
Step-by-step explanation:
three integers have a mean of 7, a median of 5 and a range of 14. find the three integers
Answer:
1, 5, 15
Step-by-step explanation:
First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.
3x + 4y + 4 > 0
how would i solve this?
1/3 as a percent I REALLLLYY NEED GOUR HELPP
Answer:
33% or 33.3% or 33.33%
Step-by-step explanation:
1/3 as a decimal is 1 divided by 3 which ends up being an infinite number: 0.33333333333333333333333...
But you can write it as 33% or 33.3% or 33.33%
The table shows the numbers of seeds the owners of pumpkin patch farms received from different seed suppliers. Each of the pumpkins they harvest usually weighs between 10 and 12 pounds. There are 60 rows and the farmers will plant the same number of seeds in each row. How many seeds will they plant in each row
Answer:I’m trying to find it too
Step-by-step explanation:I don’t know what it is but I’m sure it’s 12-90
the formula C = 6p + 200 gives C , the total cost in dollars of hosting a birthday party for p guests at a local ice cream parlor .
A : solve the formula for p .
B : isabella can spend $350 for her birthday party . how many people can she invite ?
1. How would you describe the strugure of the Yavapai-Apache Nation's government? 2. What is one check or balance mentioned in this section of the constitution?
I will give brainliest
Need help asap please
Answer:
the 4th one hope this helps
What expressions are equivalent to -4/3 p -2/5
Answer:
-3/6
Step-by-step explanation:
integer rules
The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2. Find the EXACT volume of the sphere in terms of the diameter d. Be sure to fully simplify the expression
Answer:
for the volume of the sphere its answer is 4πr³/3 which when converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r
Answer:
4πr³/3
Step-by-step explanation:
When converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r
Please help me !!!!!!
Answer:
A
Step-by-step explanation:
Hope it helps!
Answer:
i think its b
Step-by-step explanation:
To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.
a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950
Answer:
[tex]y = 25x +1950[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (30,2700)[/tex]
[tex](x_2,y_2) = (50,3200)[/tex]
Required
Determine the linear function
We start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]
[tex]m = \frac{500}{20}[/tex]
[tex]m = 25[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 2700 = 25(x - 30)[/tex]
[tex]y - 2700 = 25x - 750[/tex]
Make y the subject
[tex]y = 25x - 750 + 2700[/tex]
[tex]y = 25x +1950[/tex]
Stefan sells Jin a bicycle for $176 and a helmet for $16. The total cost for Jin is 160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Step-by-step explanation:
Given that:
Selling price of bicycle = $176
Selling price of helmet = $16
Total price = 176+16 = $192
This is 160% of what Stefan paid originally.
Let,
x be the original amount paid by Stefan.
160% of x = 192
[tex]\frac{160}{100}x=192\\1.6x=192[/tex]
Dividing both sides by 1.6
[tex]\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120[/tex]
Original amount paid by Stefan = $120
Profit = 192 - 120 = $72
Hence
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour
= Political behaviour
Step-by-step explanation:
political behaviour consists of activities that are
not required as part of one's formal
role in the organization
What is the equation of the line in slope-intercept form?
O Y=2x-8
O y = 2x+8
O y=8x-2
O y = 8x+2
Step-by-step explanation:
since b = 8, it has to be
y = 2x + 8
that was the whole point of the exercise, as the general slope-intercept form is
y = mx + b
you determined m = 2 and b = 8, so there is your answer. I am not sure where your problem was, as you solved the actual important part yourself.
Tristan can walk 3 miles in one hour. At this rate, how far will Tristan walk in 4 hours?
Answer:
12 miles
Step-by-step explanation:
sometimes looking at the units is helpful.
How far Tristan will walk is measured in miles.
3 miles/hour * 4 hours has a unit of miles * hour/hour = miles
3*4 = 12
Answer:
12 Miles
Step-by-step explanation:
Multiply 3 by 4
35 points! Will mark Brainliest! Real answers only!
Answer:
Ty for the free poiunts!
Step-by-step explanation:
You got the answer right LLO
Answer:
Yea the answer is right
Step-by-step explanation:
HELP PLEASE HELP
What is the solution for 3 ≥ y − 2
y ≤ 5
i think this is the answer..
Pls help extra points and mark brainlist easy reading
Answer:
A should be the answer pls brainliest
Step-by-step explanation:
please help asap no trolls will give brainliest!!!
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)
help please 21/r = 15/14
Answer:
19.6 Don't ask how just give brainliest
Answer:
19.6
Step-by-step explanation:
Find each difference.
A: (−5)−6
B: 35−(−8)
C: −438−(−114)
Answer:
A = -11
B = 43
C = -324
Step-by-step explanation:
-5 - 6 = -11
35 + 8 = 43
-438 + 114 = -324
What is the product of the radical expression?
(7- sqrt7)(-6 + sqrt7)
Given:
The expression is
[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]
To find:
The product of the radical expression.
Solution:
We have,
[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]
Using distributive propertry, we get
[tex]=(7)(-6)+(7)(\sqrt{7})+(-\sqrt{7})(-6)+(-\sqrt{7})(\sqrt{7})[/tex]
[tex]=-42+7\sqrt{7}+6\sqrt{7}-7[/tex]
On combining like term, we get
[tex]=(-42+7)+(7\sqrt{7}+6\sqrt{7})[/tex]
[tex]=-49+13\sqrt{7}[/tex]
Therefore, the product of the given radical expression is [tex]-49+13\sqrt{7}[/tex].
Help plz:)))I’ll mark u Brainliest
Answer:
[tex]x=1,CD=5[/tex]
Step-by-step explanation:
It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:
[tex]2x+3=3x+2,\\x=1[/tex]
Plugging [tex]x=1[/tex], we have:
[tex]CD=2(1)+3=5[/tex].
The value of x in this system of equations is 1.
3x + y = 9
y = –4x + 10
What is the value of y?
CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP
Answer:
i believe its b. but im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
Which equation represents the line passing through the points (-2,4) and
(2,8)?
A. y = -x + 2
B. y = -x + 6
C. y = x +4
D.y = x + 6
Answer:
D
Step-by-step explanation:
plug in both values into the equations, and whichever one works for both is the right answer
the required equation is, D. y= x+6
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (-2,4) and, (2,8)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x+2)=(8-4)/(2+2)
=>y-4=x+2
=>y=x+6
Hence, the required equation is, D. y= x+6
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
#SPJ5
I need help please..
Answer:
Charlotte: 7
Step-by-step explanation:
You can subtract 29 on both sides to get 7=p