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

Help step by step plz :)

Answers

Answer:

182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya

Step-by-step explanation:

hakdog ses dog

6x+12=54
6x=54-12
6x=42
6x/6=42/6(divide both sides)

x=7

4
The temperature at 6:00 P.M. is 70°F. The
temperature will drop 6°F each hour. Write an
equation in slope-intercept form that models the
temperature in y degrees Fahrenheit after
x hours.
O A y= 70x – 6
B y = 6x - 70
Oc y=-6x – 70
OD y=-6x + 70

Answers

Answer:

Step-by-step explanation:

D

can you please help me solve this​

Answers

Answer:

The answer is A because the answer to the equation is x^{2}= -6 and the 7 is negative

Step-by-step explanation:

Hope this helps :)

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles

Answers

Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.

Let the Total fraction of caramel apples = 1

1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles

Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )

LCM of denominator = 30

= 1 - (6 + 10 + 9/30)

= 1 - 25/30

= 5/30

= 1/6

How many caramel apples are covered with sprinkles

This is calculated as :

Fraction of caramel apples covered in sprinkles × Total number of caramel apples

= 1/6 × 120

= 20 caramel apples covered in sprinkles.

What is the value of x in the proportion?
9/12=12/x

Answers

Answer:0.75

Step-by-step explanation:

Answer- X=16

Explanation:

Determine the defined range
9/12=12/x, x≠0

Reduce the fraction with 3
3/4=12/x

Simplify the equation using cross-multiplication
3x=48

Divide both sides of the equation by 3
x=16, x≠0

Check if the solution is in the defined range
x=16

The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. What is the probability a salamander has length between 12.2cm and 16.5cm

Answers

Answer:

The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930

Step-by-step explanation:

We start by finding the z-score of each

Mathematically;

z-score = (x - mean)/SD

for 12.2 cm

z-score = (12.2 - 15)/2 = -2.8/2 = -1.4

For 16.5 cm

z-score = (16.5 -15)/2 = 1.5/2 = 0.75

So the probability we want to calculate is;

P( -1.4 < z < 0.75)

we can calculate this using the normal distribution table

Mathematically;

P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)

= 0.2263 + 0.30738

= 0.69262

[tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex]

Answers

Answer:

ddsdvffgdf gddccd fddf

Please help me i can’t get this one right. someone help me please if you know how to do this.

Answers

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

PLEASE ANSWER BOTH QUICK

Answers

Answer:

1.C

2.A

Step-by-step explanation:

dude trust me

Michael earns $12.50 per hour. Which equation describes this statement?

y=25x
y=12x
y=0.5x
y=12.5x

Answers

Answer: y= 12.5x

Step-by-step explanation:

The last equation describes this statement because if he earns 12.50 per hour the y will be the amount he earns in x hours. For every hour, the money will go up by $12.50.

The answer would be y=12.5x. If they were to ask a question that included how many hours he worked and you were trying to figure out how much he made in those hours you would plug the number of hours into x and solve it.

Answer ASAP!!! First correct answer gets brainliest

Answers

Step-by-step explanation:

Given problem;

  Write the equation of the line with the given slope and y-intercept

 The equation of a line is expressed as;

          y  = mx + b;

   m is the slope and b is the y-intercept

7. m = -5, b = -6

   y  = mx + b

Input the parameters:

    y = -5x -6

8. m = 1, b = -4

   y = mx + b

Input the parameters:

   y = x - 4

9. m = 0.4, b = -9

    y = mx + b

Input the parameters:

    y = 0.4x - 9

10. m = 0, b = 3

     y = mx + b

Input the parameters:

    y = 3

find the area of the equilateral triangle.if its perimeter is 24cm​

Answers

Answer:

16√3 cm²

Step-by-step explanation:

The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.

Let's consider one side of the triangle to be 'x'

Givent that, the perimeter is 24cm,

The equation should be x + x + x = 24

⇒3x = 24

∴ x = 8 cm

To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.

Since it is an equilateral triangle, all angles are exact 60°.

let's draw a line and mark it as 'h'.

we can use sine formula to find out the opposite i.e. h

sin∅ = opposite ÷ hypotaneous

sin 60° = h ÷ 8

h = 8 sin 60°

h= 4√3

Now, let's find the area

Area = 1/2 × base × height

Area = 1/2 × 8 × 4√3

area= 16√3 cm²

Can a decimal that has repeating digits after the decimal point be converted into a fraction? It depends on what the digits are that repeat. It depends on the number of digits that repeat. No, because the decimal is irrational, and no irrational numbers can be converted to fractions. Yes, because the decimal is rational, and all rational numbers can be converted to fractions.

Answers

Answer:

It depends on what digits repeat

Step-by-step explanation:

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point

So 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3

Answer

It depends on what digits repeat

Step-by-step explanation:

I hope this helps!

Fill in the blank for each part below.

1) The slope is...
A. zero
B. Undefined

2) The equation is...
A. y=-1
B. X=-1

Answers

these are the answers to both
1. A
2. A

An archer is shooting at targets. The height of the arrow is 5 feet above the ground. Due to safety rules, the archer much aim the arrow parallel to the ground.

How long does it take for the arrow to hit a target that is 3 feet above the ground? Round your answer to the nearest hundredth.

Answers

Answer:

The time it takes to hit a target that is 3 feet above ground is approximately 0.35 seconds

Step-by-step explanation:

The given parameters are;

The height of the arrow above the ground = 5 ft.

The height of the target above the ground = 3 ft.

The time it takes the arrow to fall to 3 ft. from 5 ft. above the ground is given by the free fall formula, since the arrow has no vertical velocity component

The equation for free fall is h = 1/2·g·t²

Where;

h = The height of fall = 5 - 3 = 2 feet

g = The acceleration due to gravity = 32.17405 ft/s²

t = How long it takes to fall (to its target)

∴ 2 = 1/2 × 32.17405 × t²

t² = 2/(1/2 × 32.17405) ≈ 0.1243

t = √0.1243 ≈ 0.353

t = 0.35 seconds, to the nearest hundredth

Therefore, the time it takes to fall 2 ft to hit a target that is 3 feet above ground = 0.35 seconds.

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds

The height of a parabola is calculated as:

[tex]\mathbf{h = \frac{1}{2}gt^2}[/tex]

Where:

[tex]\mathbf{h =5 - 3 = 2}[/tex] --- the difference between the height of the arrow and the height of the target.

[tex]\mathbf{g = 32.2 fts^{-2}}[/tex] --- acceleration due to gravity

So, we have:

[tex]\mathbf{2 = \frac{1}{2} \times 32.2 \times t^2}[/tex]

Multiply both sides by 2

[tex]\mathbf{4 = 32.2 \times t^2}[/tex]

Divide both sides by 32.2

[tex]\mathbf{0.124 = t^2}[/tex]

Take square roots

[tex]\mathbf{0.35 = t}[/tex]

Rewrite as:

[tex]\mathbf{t = 0.35s}[/tex]

Hence, the time to hit the target is 0.35 seconds

Read more about rates and time at:

https://brainly.com/question/18798899

A cannery processed 785 pounds of strawberries in 5.5 hours. The cannery processed 1550 pounds in 10 hours. Write a linear equation to model the relationship between the weight of strawberries S and time T. How many pounds of strawberries can be processed in 8 hours?

Answers

Answer: 1240 in 8 hours

Explanation: I used my TI 84 Plus Calculator

The Equation is s = 170 t - 150 and 1210 pounds of strawberries can be processed in 8 hours.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

A cannery processed 785 pounds of strawberries in 5.5 hours.

and, The cannery processed 1550 pounds in 10 hours.

let S be weight of strawberries and T be the Time.

So,

slope = (1550 - 785) / (10 - 5.5)

         = 170

Using slope- intercept form

y = mx + b

1550 = 170 (10) + b

b= -150

Then, y = 170 x - 150

and the equation is s = 170 t - 150

At t= 8 hour

s= 170x 8 - 150

s = 1210 pound.

Learn more about slope here:

https://brainly.com/question/1778750

#SPJ5

What is the equation of the line that passes throligh the point (-6, 6) and has a
slope of -5/3

Answers

Answer:

y = -1 2/3x - 4

Step-by-step explanation:

y = mx + b

Replace numbers with the corresponding variables

6 = -5/3 * -6 + b

6 = 10 + b

-4 = b

y = -1 2/3x - 4

Let me know if something's wrong :)

PLS HELP ME ASAP!!!!!!!!

Answers

Answer:

All of the above

Step-by-step explanation:

because all are correct

Select the correct answer from each drop-down menu. James needs to clock a minimum of 9 hours per day at work. The data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. The median number of hours James worked is . The skew of the distribution is .

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}

The median of the distribution can be found using the formula :

Median = 0.5(n + 1) th term

n = number of terms = 12

Median = 0.5(12 + 1) th term

Median = 0.5(13)th term = 6.5th term

Select the 6th and 7th term = 11, 11

(11 + 11) /2 = 22/2 = 11

Hence, the median = 11

The distribution is negatively skewed, This was inferred from the shape of a distribution having a long shape positioned on the left side of the distribution.

The peak values are the 8th, 9rh and 10th values with only two values below in the right direction with the majority on the left.

Answer:

The median number of hours James worked is 10 . The skew of the distribution is  negative .

Step-by-step explanation:

Solve for x and y, will mark brainliest please help!

Answers

Answer: x=37, y=9

Step-by-step explanation:

3x+11+x+21=180

4x+32=180

4x=148

x=37

3(37)+11=14y-4

111+11=14y-4

122=14y-4

14y=126

y=9

if y= 2x - 3, find the value of y when x=2

Answers

Answer:

y=1

Step-by-step explanation:

Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.

Y is 1 because 2 x2 is 4-3 is 1 quick maths

Hi! I've been stuck on this for awhile although it seems so easy I can't get by it :/

Answers

Answer:

x > -17/6 or x < -1/2

Step-by-step explanation:

4 |3x + 5| + 20 > 6

4 |3x + 5| > -14

|3x + 5| > -14/4

This is where the two equations split.

+:

3x + 5 > -14/4

3x > -17/4

x > -17/6

-:

- (3x + 5) > -14/4

3x + 5 < 14/4

3x < -3/2

x < -1/2

Supposedly these are your answers, but if I'm incorrect, please let me know. I don't see an option for you on that picture though.

if 12x+8 is less than 6,what is the value of 8x​

Answers

I think it’s 4 but not sure

An active horse can eat up to 9 pounds of food for every 300 pounds of body weight each day. At this rate, how much does an active horse weight if he eats 36 pounds of food every day pls helpp pls ​

Answers

Answer:

I believe its 1,200 pounds.

Step-by-step explanation:

9 × 4 = 36 so youd multiply 300 by 4 as well. I'm not sure but I think this is correct.

Hannah likes candy. She wants to purchase some candies all varieties of candy are $4.20 each. Hannah buys one mango candy and one apple candy. Write an expression that represents the total cost,t,of the candy if m represents the number of mango candies and a represents the number of apple candies

Answers

Answer: 4.20(2)

Step-by-step explanation:

Natalie wants to grow it 4 in. Longer than it is now. She knows that hair grows at an average rate of 15 cm/year. How many more months will she wait to have her hair cut? (1 cm ≈ 0.39 in.) Question 1 First, you will need to convert the rate of 15 cm/year to inches per month. Which two conversion factors should you use? Select all correct answers.

Answers

Answer:

8.21 months.

Step-by-step explanation:

The growth rate of hair, R = 15 cm/year

As 1 year = 12 months,

[tex]\Rightarrow R=\frac{15}{12}[/tex] cm/month

As 1 cm ≈ 0.39 in.,

[tex]\Rightarrow R= \frac{15}{12}\times 0.39=0.4875[/tex] inch/month.

As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.

Hence, she needs to wait for 8.21 months.

Help me please :) have a good day.

Answers

Answer:

problem 1: h=a/b problem 2: 5

Step-by-step explanation:

First problem: a=bh

First you have to flip the equation so bh=a

Next you have to divide both sides by b.

bh/b=a/b

so h=a/b

Second problem: 45ft is the area and 9ft is the base so to find the height you have to divide the area by the base

If you only have the base and height you would multiply them to find the area. If you only have area and height you divide area by height to get base.

You have to divide 45 by 9, the answer would be 5.

Hope this helped!

Can anyone help with this one ?

Answers

1) 35
7) 145
4) 55
5) 90
9) 145
Brainliest please if you can and you’re welcome

Answer:

1. 35 2. 145 3. 35 4. 90 5. 145

Step-by-step explanation:

what is the slope of a line that passes through 5,15 and 6,11?

Answers

Answer:

slope is -4, equation is y= -4x + 35

Step-by-step explanation:

 11-15

______

 6-5

-4

____

1

11 = -4(6) + b

b = 35

Albert's mom has 2,523 reward points from shopping at an online store. She uses the points to buy gift cards for free cups of coffee. Each gift card costs 75 points. What is the greatest number of gift cards Albert's mom can buy? How many reward points will she have left? Use the drop-down menus to choose the numbers that make the statement true.

Answers

Answer:

Maximum number of gift cards she can purchase = 33

Reward points left with her = 48

Step-by-step explanation:

Let Albert's mom buys the number of gift cards = x

Points for each gift card = 75

Total points consumed to buy x gift cards = 75x

If total points with Albert's mom = 2523

So the remaining points with her = (2523 - 75x)

Inequality representing the remaining points will be,

(2523 - 75x) ≥ 0

75x ≤ 2523

x ≤ [tex]\frac{2523}{75}[/tex]

x ≤ 33.64

Maximum number of cards she can buy = 33

Therefore, reward points with her = 2523 - (75 × 33)

                                                         = 2523 - 2475

                                                         = 48

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