Answer:
If p is the smallest of n consecutive integers of the same sign than we have p , p+1 , p+2 , … , p+(n−1) ,
So the sum is
∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2
Here n=4
So we have 4p+6
And checking
p+(p+1)+(p+2)+(p+3)=4p+6
Note if p=−v
Than you have the same thing as if p=v−n+1 just negative for example 3 consecutive integers the smallest is −5 so the sum is −5+(−4)+(−3)=3×−5+32−32=−15+3=−12
On the other hand:
−(3+4+5)=−(3×3+32−32)=−(9+3)=−12
If p=−v the sum of next v+1 integers is −(∑k=0vk)=−(v2+v2)
Than needs an other v integers to bring it up to 0 again. From there it is
∑k=0hk=h2+h2
Where h=n−(2v+1) .
So recap if p is the smallest of n consecutive integers their sum is
p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1
Step-by-step explanation:
PLEASE HELP ASAP!!
In 2015, the cost of bread was $0.40. In 2021, the cost of bread is $2.00. What is the percent of change?
ILL GIVE BRAINLIEST
Describe the steps necessary to solve the following system equations:
-3x - 4y = 2 and 3x + 3y = -3
Answer:
(- 2, 1 )
Step-by-step explanation:
Given the 2 equations
- 3x - 4y = 2 → (1)
3x + 3y = - 3 → (2)
Adding the 2 equations term by term will eliminate the x- term, that is
0 - y = - 1
- y = - 1 ( multiply both sides by - 1 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (2)
3x + 3(1) = - 3
3x + 3 = - 3 ( subtract 3 from both sides )
3x = - 6 ( divide both sides by 3 )
x = - 2
solution is (- 2, 1 )
Answer:
x = -2 and y = 1
Step-by-step explanation:
3x + 3y = -3, x + y = -1, x = -y -1
-3(-y-1) - 4y = 2, 3y + 3 - 4y - 2 = 0
-y +1 = 0, y = 1
x + y = -1, x + 1 = -1, x = -2
Judy made 3 pans of brownies for her friends. She cut each pan into 8 equal pieces. Her friends ate 20/8 of the brownies. What fraction of the brownies are left?
Answer:
13/6
Step-by-step explanation: 8 pieces in 3 pan give us a total of 8/24, then minus 20/8. The writing of this equation is:
20/8- 8/24 or 8/24- 20/8 (both are good)
The common denominator here is 24 since it can divide 8 and divide itself.Since you have 24 as denominator, you'll have to reconvert the fractions above by diving 24 by their previous denominator and multiply it by their numerator:
(24/8) × 20= 60 (numerator of the 1st fraction)
(24/24) × 8= 8 (numerator of the 2nd fraction)
The new fractions are then
60/24 - 8/24= 52/24
We could stop there but since we could find an irrational fraction as an answer, why not do it
52/24 (both divided by 2)= 26/12
26/12 can still be divided so we keep going
26/12 (both divided by 2) = 13/6
13 is a prime number and therefore can be divided only by itself, and 6 cannot be divided by 13 without having a decimal answer.
13/6 is the final answer
Which point is located at (2,3)
Answer:
Point C
Step-by-step explanation:
Points are read as (x, y).
This means that 2 = x and y = 3.
X is the bottom line, whilst Y is the line going up.
On a certain hot summer's day, 234 people used the public swimming pool. The
daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled
$435.00. How many children and how many adults swam at the public pool that day?
Step-by-step explanation:
Larry's small business has $60,000 dollars in its account and makes automatic
monthly payments that total $12,000.
Answer:
nice flex
Step-by-step explanation:
The winning times for a race are shown in the table.
Which answer describes the rate of change from year 2 to year 4?
- The winning time increased by an average of 0.267 second per year from year 2 to year 4.
- The winning time increased by an average of 0.8 second per year from year 2 to year 4.
- The winning time increased by an average of 0.4 second per year from year 2 to year 4.
- The winning time increased by an average of 0.475 second per year from year 2 to year 4.
Answer: The winning time increased by an average of 0.4 second per year from year 2 to year 4.
The winning time for a race displayed in the table would be:
C). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Find the increase in winning time:
Given that,
Year Winning Time(seconds)
1 27.5
2 28.4
3 28.7
4 29.2
5 29.44
Hence, The total change in the time is,
= (0. + 0.3 + 0.5 + 0.24)/4
= 0.485 seconds
Now, If we round off, it becomes 0.5 seconds.
Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.
Thus, ''Option C'' is the correct answer.
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*WILL GIVE BRAINLIEST 15 POINTS*
Find the volume of the triangular prism:
formula: V=12x base x height x length
Question 4 options:
A: 39 units3
B: 90 units3
C: 1,944 units3
D: 972 units3
The sum of four consecutive even integers is -892. Find the four numbers.
Divide by the amount of consecutive numbers (4 in this instance)
It will be within a small range of those numbers
ex. The sum of 3 consecutive even integers is 24.
24/3 =8
Now guess and check
4+6+8=18 that's not 24 so don't add 4 instead on the other side of 8 put 10
6+8+10=24
Do roughly the same thing
All four consecutive even integers are;
-226 , -224 , -222 , -220
What is Integers?
An integers is a whole number which can be positive, negative or zero.
Given that;
Sum of four consecutive even integers is -892.
Let four consecutive even integers are;
2x , 2x + 2 , 2x + 4 and 2x + 6
Since, Sum of four consecutive even integers is -892.
Hence, We can formulate;
2x + 2x + 2 + 2x + 4 + 2x + 6 = -892
8x + 12 = -892
Subtract 12 both sides,
8x + 12 - 12 = -892 - 12
8x = -904
Divide by 8,
x = -904 / 8
x = - 113
So, All four even numbers are;
2x = 2 × -113 = -226
2x + 2 = -226 + 2 = -224
2x + 4 = -226 + 4 = -222
2x + 6 = -226 + 6 = -220
Thus, All four consecutive even integers are;
-226 , -224 , -222 , -220
Learn more about the integers visit:
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The average diameter of a tree is measured over time. The equation y = 3/4x, where x is time in years and y is the
diameter in inches, models this relationship.
What is the predicted diameter, in inches, of the tree after 12 years?
Answer:
The predicted diameter of a tree after 12 years is 9 inches.
Step-by-step explanation:
The average diameter of the tree is represented by [tex]y = \frac{3}{4}\cdot x[/tex]. The predicted diameter of the tree after 12 years is determined by evaluating the linear function at [tex]x = 12[/tex]. That is:
[tex]y = \frac{3}{4}\cdot (12)[/tex]
[tex]y = 9[/tex]
The predicted diameter of a tree after 12 years is 9 inches.
1. What is 30 percent of 120?
A.30
B.20
C.40
D.36
Answer:
D 36
Step-by-step explanation:
Answer:
D.36
Step-by-step explanation:
30 ?
--- x ---
100 120
Multiply 30 times 120. You get 3600. Divide that by 100, and you get 36.
1. 12x – 8x + 4 = 20
2. 9w + 4w – 5w + w = -9
Answer:
the answer for just eliminate the variables and to the solving tho get the answer as they get the answer to the number above
HELP PELASE ASAPppppp
Answer:
Part 1 d/a = a/f
d/b = b/c
e/c = c/f
Explanation:
The triangles are similar.
This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.
Part 2:
78
Explanation:
Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.
5x –19 = 2x +11
3x = 30
x= 10
5(10) –19 = 31
2(10) + 11 = 31
Add the three sides: 31 +31 +16 = 78
Part 3:
Sin A= Cos B. both are a/b
Sin C= Cos A both are c/b
Sin C = c/b
Explanation:
Remember S=o/h, C=a/h , T=o/h
Look at the relationship of the sides to the angles given. If the sides match, the statement is true.
Sine of angle A is side a to side b. This is opposite/hypotenuse
Cosine of angle B is side a to side b This is adjacent/hypotenuse.
The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.
This can be confusing, but the more you practice, the easier it gets.
I hope this helps!
A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?
Step-by-step explanation:
2/5 x 1/3 = 2/15 inches squared
two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus
Answer:
Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
Step-by-step explanation:
Answer:
Let the adjacent angles of the rhombus be 2x and 3x.
we know that the sum of the measures of the adjacent angles is equal to 180°.
2x+3x=180
=5x=180
=x=180/5
=x=36°
Hence,AB =BC=2×36°=72°
AD=DC=3×36°=108°
Hence,The angles of the rhombus are 72°,108°, 72°and108°.
I hope it's helpful!
Part B: Melissa designed the kite shown and would like to know the minimum amount of fabric needed to cover the kite. Each unit is 1 inch,
48 in
69 in
286 in
572 in?
Answer:
69.4 inches
Step-by-step explanation:
A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.
To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.
AD ⊥ BC.
Since adjacent sides are equal to each other, hence:
BC = BD, AC = AD
The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)
[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]
BC = BD, AC = AD
Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches
Answer: 69
Step-by-step explanation:
The residents of a village want to paint a sign that shows the elevation of their village to the sea. Their altimeter shows +2,100 feet. What should their signboard read?
Answer:
Wassss uppppp
Step-by-step explanation:
i dont know
Can you help me with this pls?
The cost of tickets to a school play are $10 for adults and $6 for children under 12. If there were a total of 100 tickets sold to the play on a certain night, what equation would you use to represent the total ticket sales, T, if the number of adult tickets can be represented by a. Show and explain each step to create the equation.
Answer:
10a+6b=T------------2
Step-by-step explanation:
Given data
Let the number of adults be a
and the number of children be b
we are told that the total tickets is 100
hence
x+y=100-------------1
The cost of adult ticket = $10
The cost of children ticket = $6
since the total cost is T
Hence
10a+6b=T------------2
What is the slope and y intercept?
Answer:
slope: 1/2 Y Intercept: 25 (I'm just guessing by the coordinates (60,25)Step-by-step explanation:
Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)
For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)
so I inferred that the y intercept is 25
3800 people attended a basketball game. 1026 of the people attending supported the
home team, while 2774 supported the visiting team. What percentage of people
attending supported the home team?
Answer: 27%
Explantion:
1026/3800 =x/100
cross mulitply and get 102600 then divid both sides by 3800.
Answer:
27
Step-by-step explanation:
r
Multiply: (2x − 5)(4x2 + 7x − 11)
Answer:
14x²-41x+15
Step-by-step explanation:
Answer:
8x^3-6x^2-57x+55
Tell me if you would like an explanation If you need one :D
The population P for a small island was 6 380 correct to the nearest 10. Complete the statement about the limits of P
Answer:
sorry I dont know
Step-by-step explanation:
I do not know
9. Which of these was an example of US industrial mobilization for war? (5.1.B) A. Increased factory production of tanks and planes B. Increased farm production of wheat C. Rationing of products, like copper and rubber D. Increased production of automobiles
Answer:
A
Step-by-step explanation:
Tanks are the Backbone of the Military, they are needed to destroy the Axis Powers during WW2, they also used Captured Enemy Tanks for studying and Produce New Tanks to Counter them.
During each of the past three months, Tyler grew
by the following amounts: 1/8in., 3/16in., and 1/4in.
What is Tyler's total amount of growth over these
three months?
Answer with supporting work:
I need help asap!! This is an i-ready lesson.
Answer:
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Answer: A because it keep going none stopping
Step-by-step explanation:
How many degrees
in 1/20 of a full turn?
Answer:
18 degerees
Step-by-step explanation: i am 100% sure have a nice day.
Find the value of x.
Answer:
x=7
Step-by-step explanation:
Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.
14x+7+10x+5=180
First, add like terms
24x+12=180
Then, subtract 12 from both sides
24x=168
Next, divide both sides by 24
x=7
A baker needs 4 3⁄4 cups of flour. If she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have at least 4 3⁄4 cups?(must be a whole number)
Answer:
If you did it three times it would be 4 1/2. If you wanted to make it at least 4 3/4 then you would need to do 1 1/2 4 times.
Step-by-step explanation:
Please answer this I will mark you Brainly if you answer this right
Answer:
150 This is right 4sure i did this test to.
Step-by-step explanation: