Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of S.
Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + 1
3 = 2 + 1
4 = 3 + 1
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-
[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]
here,
n is the number of termsa is the first number of the series an is the last number of the seriesSo we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25
[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]
[tex] = \frac{25 \times 26}{2} [/tex]
[tex] = 25 \times 13[/tex]
[tex] = 325[/tex]
So, the value of S comes out to be 325.
Answer:
s= 325
Step by step explanation:
Add all numbers 1 to 25 to get 325.
Find the missing numbers.
Answer:
Step-by-step explanation:
1÷4 / 6÷1 = 1÷4 × 1÷6 = 1/(4×6)
A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?
Answer:
x = 638
y = 1190 - 638 = 552
Step-by-step explanation:
Let x = premium seats
let y = regular seats
x + y = 1190 (ten were not sold
30x + 20y = 30180 (amount collected
now multiply the first equation by 20 and subtract
20x + 20y = 23800
30x + 20y = 30180
-10x = -6380
x = 638
y = 1190 - 638 = 552
check it by multipying x and y by their price to see if you come up with the correct amount
Hope this helps
The 1,450 students at Classical Academy were surveyed about their use of text messaging. How many students said they text 0-50 times a day?
Answer:25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
The table below shows the number of cruise ships in a harbor on various days.
(table pic attached)
a. Write an expression for the total number of cruise ships in the harbor on Monday and Tuesday.
b. Write an expression for the total number of cruise ships in the harbor on all 5 days.
NEED HELP PLEASE- ANSWER BOTH TASKS, WILL MARK BRAINLIEST
Task 1 - Nonlinear Systems of Equations
Create a system of equations that includes one linear equation and one quadratic equation.
-
Part 1. Show all work in solving your system of equations algebraically.
-
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
-
Task 2 - Polynomial Identities
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
-
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
-
Answer:
f(x)5.79(3)^2 for task 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Task 1:
Non linear systems of equations:
x + y = 1 -------------------(I) {Linear equation}
y = 1 - x
y = x² - 5 ---------------(II) {Quadratic equation}
Substitute y =1 - x in equation (II)
(II) --> 1 -x = x² -5
Add 'x' to both sides
1 = x² + x - 5
0 = x² + x - 5 - 1 {Subtract 1 from both sides}
x² + x - 6 = 0
x² + 3x - 2x - 6 = 0 {Rewrite the middle term}
x( x + 3) - 2(x + 3) = 0
(x + 3)(x - 2) = 0
x + 3 = 0 ; x - 2 = 0
x = - 3 ; x = 2
When x = - 3 , y = 1 -(-3 )
= 1 + 3
y = 4
When x = 2 ; y = 1 - 2 = -1
Solution of the equations: (-3,4) & ( 2,-1)
Task 2:
Part 1: x = 40 ; y = 30
(x - y)² = x² - 2xy + y²
(40 - 30)² = 40² - 2*40*30 + 30²
= 1600 - 2400 + 900
= 2500 - 2400
= 100
Part 2:
a = 10 , b = 11
a³ + b³ = (a + b)(a² - ab +b²)
(10)³ + (11)³ = (10 +11)(10² -10*11 + 11² )
= 21* (100 - 110 + 121)
= 21 * ( 221 - 110)
= 21 * 111
= 2331
If 8 apples can make 3 pies, then how many pies can you make with 24 apples?
A: 64
B: 24
C: 11
D: 9
E: 6
Please help me fast! I will give brainly
This is the question,
YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?
10-(5x2)+7 or 10-5x2+7
Yes or No
And Explain the answer
Answer:
He's correct.
Step-by-step explanation:
As long as there is no change in sign of the variables.
a woodworker makes 238 wooden bowls a month. At the rate, how many bowls will he make in 12 months?
Answer:
2856
Step-by-step explanation:
if you multiply 238 by 12
you will get the ans
Answer: 2856
Step-by-step explanation:
A woodworker makes 238 bowls in a month: this is the unit rate. To find how many bowls will be produced by the woodworker in 12 months, multiply the unit rate by 12.
math problem for highschool
Answer:
297 units squared
Step-by-step explanation:
You just have to break the squares down and compare them to the other sides of the squares. For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4. By looking at the side relationships of the squares, you can easily find the dimensions of each one.
A - 9 by 9
B - 5 by 5
C - 6 by 6
D - 7 by 7
E - 1 by 1
F - 4 by 4
G - 8 by 8
H - 5 by 5
Multiply and add to get 297
Answer:
297 units squared
Step-by-step explanation:
Choose 3 of the following to write using a single, positive exponent: 2^-7, 3^-23, 11^-8, 4^-9, 2^-32, 8^-3. pls, hurry don't have much time! Ill give brainliest!!!
Answer:
1,3 and the last one
Step-by-step explanation:
after a gymnastic competition, the coaches reviewed all the gymnasts scores to identify areas for improvement. a missed landing on an aerial cartwheel deducts 2 points from the score. the coaches found that aerial cartwheels were missed 5 times across the competition. how did these missed landings affect the scores overall
Answer: The missed points will subtract 10 from the total score.
Step-by-step explanation:
A missed landing subtracts 2 points.
If they miss the landings 5 times, you know have a problem of 5x2.
5x2=10
Therefore, The points will subtract 10 from the total score.
a single piece of sod is typically rectangular in shape and measures 46 cm wide and 1.5 m long. Assuming that you can cut the sod, how many pieces of sod would be required to cover the following lawn?
The question is incomplete
Answer:
could you add more information?
Step-by-step explanation:
Mr. Baldwin is packing the shipping box with ring boxes that are cubes with an edge length of 2/3 inches. if he completely fills the shipping box, how many ring boxes can he ship?
Answer:
I’m sorry but is this all the information given? Because this is incomplete.
Step-by-step explanation:
There has to be some other directions or inage attached (if there was supposed to be attached, i dont see it)
This should include the dimensions of the shipping box.
Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G(−4, 5), H(3, 5), J(2, −1), and K(−5, −1).
Answer: 1,2.4
i'm not sure thoo
Step-by-step explanation: :3
The coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).
What is parallelogram?A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.
Given that:-
The coordinates the intersection of the diagonals of parallelogram GHJK with vertices G(−4, 5), H(3, 5), J(2, −1), and K(−5, −1).The intersection point will be the midpoint between the points G and J or points K and H.
The coordinates of the points H and K are ( 3,5) and K ( -5,-1). So the midpoint will be calculated as:-
Midpoint = [tex]\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}[/tex]
Midpoint = [tex]\dfrac{-5+3}{2},\dfrac{5-1}{2}[/tex]
Midpoint = [tex]-\dfrac{2}{2},\dfrac{4}{2}[/tex]
Midpoint = (-1,2)
Therefore the coordinates of the intersections of the diagonal of parallelogram GHJK will be ( -1, 2 ).
To know more about parallelogram follow
https://brainly.com/question/970600
#SPJ2
What is the initial value of the function represented by this graph?
1
5
6
7
Answer:
the inital value is one.
Step-by-step explanation:
So basically, the initial value is just the value of y when x is zero. In this case, its 1 this point on the graph where x=0 is also known as the y intercept. Hope that helped.
HELP ME PLEASE
SJSJSJJSJSJSJSJ
Answer:
24.12-9.8=24.32
Step-by-step explanation:
hope this helps, sorry I'm bad at explaining, but just trust me it is this im 100% positive.
Answer: 24.32
Step-by-step explanation:
34.12 - 09.80
hope this helps
Please help me! I will give brainly!
Question,
Three pumpkins are catapulted at a contest. How much farther does Pumpkin C travel than Pumpkin A?
• Pumpkin A travels 0.61 mile.
• Pumpkin B travels 0.28 mile farther than Pumpkin A.
• Pumpkin B travels 0.06 mile farther than Pumpkin C.
How many Mile ____
============================================================
Explanation:
A = 0.61 is given to us
Pumpkin B travels 0.28 of a mile further than A does, so,
B = A+0.28 = 0.61+0.28 = 0.89
Pumpkin B travels 0.89 of a mile.
---------------------
Pumpkin C travels 0.06 of a mile more than B does, which means,
C = B + 0.06
C = 0.89 + 0.06
C = 0.95
Pumpkin C travels 0.95 of a mile.
---------------------
The last thing to do is to subtract the values of C and A
C - A = 0.95 - 0.61 = 0.34
Pumpkin C travels 0.34 of a mile further compared to pumpkin A.
---------------------
Side note: if you want to convert from miles to feet, then multiply by 5280.
For instance, 0.61 miles = 0.61*5280 = 3,220.8 feet.
See the picture to solve the question 1Question=10 points
Answer:
1.5x+2.75y+33
Step-by-step explanation:
Call x: the hour of dogs keeping
y: the hour of wolves keeping
The total charge for dogs keeping: 19+ 1.5x
The total charge for wolves keeping: 14+2.75y
Total cost (19+ 1.5x)+(14+2.75y)= 1.5x+2.75y+33
What is the solution to the following system of equations: 2x + 3y = 5 AND 5x = 5y -25
Answer:
point form (-2,3)
Equation form
x=-2, y=3
Step-by-step explanation:
solve for the first variable in one of the equation, then substitute the result into the other equation.
Answer:
(-2,3)
Step-by-step explanation:
5x=5y-25
x=y-5 divide both sides by 5
use substitution.
2(y-5)+3y=5
2y-10+3y=5 distribute the parenthesis
5y-10=5 combine like terms
5y=15 add 10 to both sides
y=3 divide both sides by 5 to get y alone
5x=5(3)-25 replace y with 3, the value we found above
5x=15-25 multiply 5 and 3
5x=-10 subtract 25 from 15
x=-2 divide both sides by 5 to get x alone
Taylor bought 5 dozen oranges. 30% of the oranges were used to make juice and 15% of the oranges were given to his daughter. Find the number of oranges he had left?
Answer:
33 oranges are left, 18 went to making juice and 9 were given to his daughter
(I GOT AN 80% )
1.(D)
Ricardo has r minutes left on his cell-phone card. He wants to call his friend and still have 8 minutes left over to make calls later. Which expression describes the length of time he can talk to his friend?
D) r – 8
2.(D)
Lorraine rode her bike one-sixth the distance Jeremy rode his bike. If b represents the distance Jeremy rode, which expression represents the distance Lorraine rode her bike?
D) b
---
6
3.(A)
Raoul rode an elevator up the floors. He entered on the 5'thand exited on the 34'th
sloor. Which equation shows an equality between two different ways of expressing the Raoul exited ?
A) 34 = 5 + e
4.(B)
Hank went to an apple orchard and paid an entrance fee of $5 and bought a pounds of apples at $2 per pound. Hank paid a total of $19.
Which equation shows an equality between two different ways of expressing how much Hank paid in all?
B) 5 + 2a = 19
5.(A)
Chen’s house is 53 years old. This is 5 more than twice the age of Sunny’s house, h.
Which equation shows an equality between two different ways of expressing the age of Chen’s house?
A) 53 = 2h + 5
6.(A)
Mandy and four of her friends want to see a movie. If m represents the cost for one person to see a movie, which expression represents the cost for Mandy and her friends to see a movie?
A) 5m
7.(WRONG ANSWER IS D)
Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A) 4m + 3
B) 3m + 4
C) 3m – 4
D) DO NOT PICK ITS WRONG
8.(WRONG ANSWER IS D)
Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.
Which equation shows an equality between two different ways of expressing how many cookies Sam baked?
A) 36 = c – 2
B) 36 = c + 2
C) 36 = c ÷ 2
D)DO NOT PICK ITS WRONG
9.(B)
There were c members in the chess club before 8 more people joined. Which expression describes the number of members in the chess club now?
B) c + 8
10.(C)
C) P
--- + 1.5
4
(all the correct answers are next to the numbers and it says do not pick which everyone's where wrong which was 7 and 8 i hope this helps you)
Answer:
for 7 the answer is B and for 8 the answer is C.
Step-by-step explanation:
7.
Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A) 4m + 3
B) 3m + 4
C) 3m – 4
if Natalie has 4 more ( adding 4 more marbles) marbles that are already 3 times Juan has ( multiplying by 3) then the answers for A and C don't make since the amount of marbles is multiplied by 3 and adds 4. Bis the correct option.
8.
Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.
Which equation shows an equality between two different ways of expressing how many cookies Sam baked?
A) 36 = c – 2
B) 36 = c + 2
C) 36 = c ÷ 2
if Hannah made twice as many cookie as Sam that means the amount of cookies Hannah made are equivalent to 36 x 2= c. if we were to multiply 36 x2 we'd get how many cookies Hannah made and if we needed to find out how many Sam made we'd have to divide Hannah's cookies by two. giving us 36 = c ÷ 2. making C the correct option.
I will literally give you my life if you. help me with these integer questions-
Answer:
10. 23
11. -17
12. 0
13. -4
14. -6
15. 4
Explanation:
10. 8+15= 23
11. -8-9= -17
12. 8-8= 0
13. -8+4= -4 (same as 4-8)
14. -10+4= -6 (same as 4-10)
15. 12-8= 4
Item 17
Your family has decided to put a rectangular patio in your backyard similar to the shape of your backyard. Your backyard has a length of 40 feet and a width of 20 feet. The length of your new patio is 12 feet. Find the perimeter of your new patio.
Answer:
80
Step-by-step explanation:
80
PLEASE TRY TO HELP SOLVE EITHER ONE (OR BOTH). THX!
1. Take an 13 by 8 rectangular grid. Color each of the 1 by 1 cells either solid red, solid white, or solid blue. Show that there are at least two 2 by 2 squares in the grid that are colored exactly the same.
2. Every day of the 10-week summer break, Pamela ate 1 or 2 carrots. Over the course of the summer, she ate a total of 100 carrots. Show that there was an interval of days during the summer break during which Pamela ate exactly 35 carrots.
Answer:
p and q are two numbers.whrite down an expression of.
Answer:
I’m doing second one
Step-by-step explanation:
I’m confused what the first question is asking for but for the second one is it took her 25 days to eat 35 carrots
NEED HELP ASAP NO FALSE ANSWERES. Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in
cleaning supplies per car wash. Write an equation to represent this situation
Answer:
y = 70x + 35
Step-by-step explanation:
$75 - $5 = $70 (this is the amount charged minus the amount needed to get the job done per car wash)
the +35 is the tips extra/ constant that will be added after the jobs are done.
x is the amount of car washes done
y would be the profit received.
thus y = 70x + 35 (profit = value of car wash * number of cars washed + tips)
Answer:
Step-by-step explanation:
Profit = Income less outgo
= (car wash income + tips) - (supplies)
$250 = ($75n + $35) - ($5n), or
$215 = $70n (where n represents the number of cars washed)
This comes out to n = $215/$70, or approximately 3 car washes.
please help me with these 2 questions will give brainly!
1 . Which integer represents the following: –(–28)?
28
-28
2. Which integer represents the following: –(–(–65))?
-65
65
Answer:
1. 28
2. -65
Step-by-step explanation:
The rule I learned, was that if there is an even number of negative signs, the outcome is positive. If there is an odd number of negative signs, the outcome is negative.
In the first question, we have 2 negative signs. So the outcome is positive. 28 is positive.
In the second, we have 3 negative signs, so the outcome is negative. -65 is negative.
I hope this helps!
Answer:
28, -65
Step-by-step explanation:
Someone help me, I’m struggling and I would be so happy if any of you helped me
Answer:
1. 75 grams of Toasty Oats for 9 grams of protein
2. Toasty Oats
Step-by-step explanation:
By using cross multiplication we can figure out how many grams of Toasty Oats is needed for 9 grams of protein:
[tex]\frac{12}{100}* \frac{9}{x}[/tex] (x) being the grams of toasty oats.
Cross multiply: 12x = 900
solve for x: 900/12 = x
x = 75 grams of toasty oats needed for 9 grams of protein
To find which one has the better ratio of proteins to grams of cereal,
we can multiply the amount of cereal together to get the same denominator
12/100 and 5/45
12/100 * 9
5/45 * 20
to get the same denominator
108/900 and 100/900
we can see the (12/100)*9 has more protein to grams of cereal ratio than (5/45)*20.
Answer:
1. 75 grams of Toasty Oats for 9 grams of protein
2. Toasty Oats
Step-by-step explanation:
how did the temperature change if at first it increased by 60 and then decreased by 80
Answer:
Step-by-step explanation:
+25-80=-55
therefore there was a -55˚ change from the og temp
Answer:
-20/dropped 20 degrees
Step-by-step explanation:
60-80 = -20 (or, it dropped 20 degrees)
Please help me! I will give brainly!
Question,
Reasoning Explain how you can tell which product is greater without multiplying or estimating.
3.75 x 922 37.5 x 9.22
Question,
Modeling Real Life Nutritionists recommend that fifth-graders should consume about 5 ounces of protein each day. One serving of yogurt contains 0.6 ounce of protein. You eat 2.5 servings of yogurt in 1 day. Do you consume enough protein for the day by eating yogurt?
Yes or No
Explain why
Answer:
Question 1. 3.75 x 922
Step-by-step explanation:
for question 1 if u noticed that they both have the same numbers in the same order the only difference is where the decimal point is placed. First u need to anylase both equations to do that u need to look at 922 and 9.22 not the 3.75 and 37.5 because the decimal point doesn't justify anything. So you see 922 is bigger than 9.22. So the answer is 3.75 x 922.
