The sum of two consecutive odd integers is 84. Find the two integers.
Step 1 of 2: Set up an equation using the variable n as the smallest integer. Do not solve the problem.
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Answers

Answer 1

Answer: n + (n + 2) = 84

Step-by-step explanation:

If n is the smallest integer, the other integer must be two more than that, because it has to be odd. The two numbers add up to 84, so the other side of the equation is 84.

Answer 2

Answer:

41 and 43.

Step-by-step explanation:

We can divide 84 by 2 and add and subtract 1 from the result to get 41 and 43 as the two numbers. For any number n that is divisible by 2, we can solve this problem by finding n/2 + 1 and n/2-1. These will always be consecutive odd numbers and if you add them up, you get n.


Related Questions

2/ 6 dividing by 1 /3

Answers

Answer:

1/9

Step-by-step explanation:

I hope this help.

The person who answers these three questions will get the brianlist

Answers

Answer:  The answer for 1. is B For 2 its c and for 3 its D

also I LOVE MY HERO ACEDAMEIA

Step-by-step explanation:

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

What does the y-intercept represent?

Answers

The y-intercept represents "How much Tammy is getting paid for each hour she works".

Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

How to find what the y-intercept represents?

If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.

Learn more about y-intercept on: https://brainly.com/question/16009543

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Answer:

Answer is A

Step-by-step explanation:

Simplify the expression (x^2+3x-28)/(x^2+10x+ 21). Show your work.
NOTE: Must show your factoring work using either the big X strategy covered in class, or the quadratic formula method. Must show how you get factors. Not just give me factors.

Answers

Answer:

(x-3) (x-7)

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  +21  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 21 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    x2 - 7x - 3x - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x-3)  •  (x-7)

            Which is the desired factorization

L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. All together, they sold items 486that totaled .$2,673a.If the chess club sold each item for the same price, calculate the price of each item.

Answers

Answer:

$5.50

Step-by-step explanation:

L.B Johnson middle school held a track and field event

The chess club sold different drinks and snack item for both the audience and participants

They sold 486 items at a total of $2,673

Therefore the price of each item can be calculated as follows

= 2673/486

= 5.50

Hence the price of each item is $5.50

simplify the expression (5x^7)^2

Answers

Answer:

25x^14

Step-by-step explanation:

if it takes joan 10 weeks to make 2 dollhouses how long will it take her to make 15 dollhouses

Answers

Answer:

75 weeks

Step-by-step explanation:

We can write a ratio to solve

10 weeks       x weeks

--------------- = ---------------

2 hours          15 houses

Using cross products

10 * 15 = 2 * x

150 = 2x

Divide by 2

150/2 = 2x/2

75 = x

75 weeks

Just ignore ABCD but can someone help me with E AND G plzzz

Answers

Answer:

[tex]due \: to \: vertical \: opposite \: angel \: \\ 78 = x - 32 \\ 78 + 32 = x \\ 110 = x \\ \\ ....................................... \\ 2h + 44 = 126 \\ 2h = 126 - 44 \\ 2h = 82 \\ h = 41[/tex]

Someone give me some new artists/people to listen to

Answers

Answer:

Lil uzi,polo g, drake, future, gunna, cochise,

Step-by-step explanation:

jack stauber, mother mother, icp

Find the value of y. images attached.

Answers

Answer:

The answer is option D

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of y

To find the value of y we use tan

[tex] \tan(28) = \frac{y}{35} \\ y = 35 \tan(28) \\ y = 18.6098301...[/tex]

We have the final answer as

18.61

Hope this is helps you

Please help me with is question

Answers

Answer:

[tex]{1.8 \times 10}^{10} \: opton \: b. \: is \: correct[/tex]

Step-by-step explanation:

[tex] {1.5 \times 10}^{6} \times 12000 = \\ {1.5 \times 10}^{6} \times {1.2\times 10}^{4} = \\ {1.8 \times 10}^{10}[/tex]

Answer: B

Step-by-step explanation:

Keep writing the equation until you get to lowest terms.

[tex]15[/tex] × [tex]10^{6}[/tex] × [tex]12,000[/tex] =

[tex]15[/tex] × [tex]10^{2}[/tex] × [tex]1.2[/tex] × [tex]10^{4}[/tex] =

[tex]1.8[/tex] × [tex]10^{10}[/tex]

The answer is option B.

at Als pizza they have the expo pizza, which is a 24- inch cheese pizza that costs 17.50. Each topping for the pizza costs 2.35. you order a pizza and get charged 29.25

How many toppings were on the pizza?
A. 6
B. 10
C. 3
D. 5​

Answers

Answer:

D

Step-by-step explanation:

The first step is to subtract 29.25 from 17.50

You get 11.75

Then divide 11.75 to 2.35

You get 5.

The reason you do these steps is because,

since you paid 17.50 for the pizza the rest is toppings so...

so you subtract from the total to see how much the toppings were worth in total...

you divide 2.35 from that to show how many toppings there would be

Answer:

D. 5

Step-by-step explanation:

Find the difference between the initial cost (17.50) and the final cost (29.25) by subtracting.

You should get $11.75 which represents how much he paid for toppings. It gives the value of each topping at $2.35 so now our last step is to divide $11.75 by $2.35. The answer is a perfect 5.

Comment if you need more help :)

A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depression of 15 degrees. The crows nest is 20 m horizontally from the bow (front) of the boat. How far in front of the boat is the orca?

Answers

Given :

A sailor is 30 m above the water in the crow's nest on a sailboat.

The sailor encounters an orca surface at an angle of depression of 15 degrees.

The crows nest is 20 m horizontally from the bow (front) of the boat.

To Find :

How far in front of the boat is the orca.

Solution :

Let, distance of boat front from the crow's nest is x.

So,

[tex]\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m[/tex]

Hence, this is the required solution.

Store purchases boxes of pasta for $0.82 in cans of sauce for $1.62 how much profit does the store make from this purchase?

Answers

Answer: $2.44

Step-by-step explanation: ur just gonna do 0$.82 + $1.62 = $2.44

THERES UR ANSWER.........!!!!!!!!!!!!!

Please help me I’m struggling

Answers

Answer:

$.80 or $0.80

Step-by-step explanation:

$4 = 5 apples so u divided that 4 divided 5 gives you .80

so answer is 80 cents

Answer:

$0.8 or $ .8

Step-by-step explanation:

Hopefully this helps you!

What is the line's slope?

Answers

Answer:

[tex]m=\frac{-1}{3}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

Points (0, -1) and (-3, 0)

[tex]m=\frac{0-(-1)}{-3-0}[/tex]

[tex]m=\frac{0+1}{-3}[/tex]

[tex]m=\frac{1}{-3}[/tex]

[tex]m=\frac{-1}{3}[/tex]

PLEASE ANSWER WILL GIVE BRAINLIEST!!!

What does a correlation coefficient of 0.76between two assets indicate?

Only one of the assets is profitable.
As one asset increases, the other decreases.
The two assets are weakly correlated.
The two assets are highly correlated.

Answers

D. The two assists are highly correlated.
D I’m pretty sure is the answer

Force is a term that means...

O movement around a center point - like throwing

O

strength used in an action - like lifting weights

Ounchanging over time - like balancing

on

O speed over time - like running

>

MUSEU

Answers

Answer: strength used in an action - like lifting weights

Step-by-step explanation:

Force brings about the change in the motion or velocity of a particular object.

Force can be either a push or a pull. For example, when an individual goes to the gym and lifts a weight, the strength applied can also be referred to as a force as it causes a change in the position of the weight.

3.f(-4)-3.g(-2) please ​

Answers

Step-by-step explanation:

3.f(-4)-3.g(-2)

3 [f(-4) - g(-2)]

(14+13n+3n^3)+(2+4n+9n^3)

Answers

Answer:

=12n3+17n+16

i hope this helps :)

12-3.85
Help lol please

Answers

The answer is 8.15 you can check my answer before u put in it if u want

Answer:

The answer is 8.15

The formula for profit is
P = R - C.
a. Solve the formula for R.
b. Use the new formula to find the value of R given that
P = $350 and C = $520.

Answers

Answer:

a) R=P+C

b) $870

Step-by-step explanation:

a)

since P=R-C we can do the following to solve the equation for R:

P=R-C

P+C=R-C+C (add C to both sides to get R by itself)

P+C=R

b) P=350  C=520

since R=P+C,

R=350+520

R=870

Answer:

Use the new formula to find the value of R given that

What value of x is in the solution set of 9(2x + 1) < 9x – 18?
-4
-3
-2
-1

Answers

Answer:

c = -3

Step-by-step explanation:

I start at 5,6 and move 4 units down what will i end up with

Answers

you will end up at point (5, 2)

Answer:

5,2

Step-by-step explanation:

since you're moving down the y-axis you will subtract 4 from 6 because 6 is on the y-axis

5 stays the same since you're not moving on the x-axis

(5,2)

If you are writing an equivalent expression for 23 • 24, how many times would you write 2 as a factor?

Answers

Answer:

1-100

Step-by-step explanation:

The number of times you write 2 as a factor of 552 is 3 times.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given numerical expression is 23·24.

Here, equivalent expression is 552

Factor of 552 is

2×2×2×3×23

Therefore, the number of times you write 2 as a factor of 552 is 3 times.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

How is online school going so far?

Answers

Good for me :):):):):):):):)

Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.

Answers

Answer:

The rate of the second car is 30 miles/hour

Step-by-step explanation:

The Given formula is:

4(r + 15) + 4r = 300, where r is the rate for the second car

Let us solve the equation to find r

→ Multiply 4 by (r + 15) first

∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60

→ Substitute it in the equation above

∴ 4r + 60 + 4r = 300

→ Add the like terms in the left side

∵ (4r + 4r) + 60 = 300

∴ 8r + 60 = 300

→ Subtract 60 from both sides

∴ 8r + 60 - 60 = 300 - 60

∴ 8r = 240

→ Divide both sides by 8

∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]

r = 30

The rate of the second car is 30 miles/hour

PLEASE HELP!
IMAGE DOWN BELOW!

Answers

Answer:

1. 11t

2.7w+28

3. 2c+11

4. 8n

5. 10r+15

6. 24−8g

7. 17d−9

8. 8g+7z

9. 23b

10. 2rs+1

11. 9f+9g

12. 4x+y

13. 21a+14

14. 21a+14

15. 6−3k

16. 18n+36

17. 9s+3t

18. 8a−12b

19. 11m+n

20. 2+6z

21. 8x+6y

22. 7hg−7

23. 4st+5

24. 2r+17

25. 7w+6

26. 3(c+2)

27. 8f−4g

28. 2+8q+3r

Step-by-step explanation:

there you go, sorry it took so long

Alvin is heating a solution in his chemistry lab. The temperature of the solution starts at 14°C. He turns on the bumer and finds that the solutions temperature increases by 2C every minute. This graph shows the temperature change 30 20 Time (minutes) Which point is on his graph? A. (3,20) B. (5,21) C. (22,4) D. (1,14)

Answers

Answer:

C. (3,20)

Step-by-step explanation:

Answer:(3,20)

Step-by-step explanation:

Alvin is heating a solution in his chemistry lab. The temperature of the solution starts at 14°C. He turns on the bumer and finds that the solutions temperature increases by 2C every minute. This graph shows the temperature change 30 20 Time (minutes) Which point is on his graph? A. (3,20) B. (5,21) C. (22,4) D. (1,14)

If h(x) = 5 + x and (x) -
, which expression is equivalent to (kºn)(x)?

Answers

Answer:

1/(5+x)

Step-by-step explanation:

The explanation for this is your just substituting 5+x for the x in the 1/x

Hope this helps ! :)

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