3. The difference of the squares of two positive consecutive odd integers is 32. Find the
integers.

Answers

Answer 1

Answer:

7,9

Step-by-step explanation:

Let two consecutive odd integer=X and (X+1)

The difference of the squares of two positive consecutive odd integers is 32.

So(X+2)^2-x^2=32

(x^2+4+4x)-x^2=32

x^2+4+4x-x^2=32

4x=32-4

4x=28

X=28/4

X=7

So first integer=7

Second integer=7+2

=9.


Related Questions

HELP PLEASE 25 POINTS CALC

Answers

ANSWER

[tex] 18\pi\: cm^3/s[/tex]

STEP-BY-STEP EXPLANATION:

[tex] V= \frac {4}{3}\pi r^3\\\\

[/tex]

Differentiating with respect to t on both sides:

[tex] \frac{dV}{dt} = \frac {4}{3}\pi\times 3r^2\frac{dr}{dt} \\\\

\frac{dV}{dt} =4\pi r^2\frac{dr}{dt} .. (1)\\\\

Plug \:\frac{dr}{dt} = \frac{1}{2}\:\: \& \: \: r = 3\: in \: equation \: (1)\\\\

\frac{dV}{dt} =4\pi (3)^2\times \frac{1}{2}\\\\

\frac{dV}{dt} =4\pi\times 9\times \frac{1}{2}\\\\

\huge \purple {\boxed{\frac{dV}{dt} =18\pi\: cm^3/s}} \\[/tex]

A singer makes 2% royalties on the sales of her album. Which proportion could be used to determine her sales if she made $44,000 in royalties?






The attachment are the answers to look at ​

Answers

I believe it is the second one :)

A measurement template with a historcal value of 25.500 is measured 27 times and a mean value of 25.301 is recorded. What is the percent bias when the tolerence is -0.3?

Answers

Complete Question

A measurement template with a historical value of 25.500 mm is measured 27 times and a mean value of 25.301 mm is recorded. What is the percent bias when the tolerance is +/- 0.3?

Answer:

The percent bias is  [tex]B = 33.167 \%[/tex]  

Step-by-step explanation:

From the question we are told that

   The historical value  is  [tex]S = 25.00 \ mm[/tex]

   The number of times it is measured is  n  =  7  

    The mean value is  [tex]\= x = \frac{\sum x_i }{n} = 25.301 \ mm[/tex]

    The tolerance is  [tex]t =\pm 0.3 = 0.3 - (-0.3) = 0.6[/tex]

Generally the percent bias is mathematically represented as

      [tex]B = 100 * \frac{\= x - \tau }{ t}[/tex]

=>  [tex]B = 100 * \frac{25.301 - 25.5000 }{0.6}[/tex]

=>  [tex]B = 33.167 \%[/tex]  

Someone help please and leave a small explanation if u want brainliest!

Answers

Answer:

C

Step-by-step explanation:

I believe the answer is C because both lines cross through point 1,1

eric has 80 baseball cards in his collection. of these cards 20% of the cards are from the texas rangers. how many cards from erics collection are from the texas rangers

Answers

Answer:

The answer for this problem is 60

Step-by-step explanation:

So we know Eric has 80 cards right ? ye sew do cf v eknbauefsgbduiwjxnsizjdg fyj eaoX

Answer:

16 cards out of the 80 are Texas Rangers, 1 of them better be Nolan Ryan or Beltre

Step-by-step explanation:

16 divided by 80 is 20%

ABC=XYZ which two statement identify corresponding congruent parts for these triangles

Answers

Answer: it’s (4), I took the test too so I know it’s most likely right.

Jamaal has 20 models of planes and cars. He has three times as many cars as planes. What is the ratio of his cars to total models?
1:4
3:1
3:4
4:3

Answers

The answer would be 3/4

Answer:

i believe its 3/4

Step-by-step explanation:

i took the test on edge 2021

sunny loves sunflowers. she planted 29 rows of 400 sunflowers in each row. how many sunflowers did sunny plant in total?

Answers

Answer:

11600

Step-by-step explanation:

An equation is shown -4/5 (9x-20)-3x 4/5 x -6

Choose the value of x that makes this equation true.

• x = -2
• x = -1/2
• x = 1/2
• x = 2

Answers

Answer: x=2

Step-by-step explanation:

if u plug in the value of x=2 into the equation both sides equal -22/5

exact number 6x7,381

Answers

Answer:

6 X 7,381 is 44,286

Step-by-step explanation:

(V+5)(-1/9)=6 how do u solve this

Answers

Answer:

v= -59

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : (v+5)*(-1/9)-(6)=0

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (v+5)*(-1/9)-(6)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           9

Equation at the end of step

1

:

                  1      

 ((v + 5) • (0 -  —)) -  6  = 0

                  9      

STEP

2

:

Equation at the end of step 2

 (-v - 5)    

 ———————— -  6  = 0

    9        

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  9  as the denominator :

        6     6 • 9

   6 =  —  =  —————

        1       9  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  -v - 5  =   -1 • (v + 5)

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(-v-5) - (6 • 9)     -v - 59

————————————————  =  ———————

       9                9  

STEP

5

:

Pulling out like terms :

5.1     Pull out like factors :

  -v - 59  =   -1 • (v + 59)

Equation at the end of step

5

:

 -v - 59

 ———————  = 0

    9  

STEP

6

:

When a fraction equals zero :

6.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -v-59

 ————— • 9 = 0 • 9

   9  

Now, on the left hand side, the  9  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -v-59  = 0

Solving a Single Variable Equation:

6.2      Solve  :    -v-59 = 0

Add  59  to both sides of the equation :

                     -v = 59

Multiply both sides of the equation by (-1) :  v = -59

Emma decided to start a snow globe collection. She started with 3, and every year she added one more.

Write an equation to determine the number of snow globes she has after y years.

Answers

Answer:

3 + 1y, y = amount of years

Step-by-step explanation:

3 represents how much she has from the beginning, and 1y represents 1 year

What do you pay in tax for a pair of jeans that are priced $50.00 if there is 7% sales tax
$3.50
$7.14
$0.35
$3.55

Answers

Answer:

I think the answer is $3.50, but I am not sure. Just doing quick math over here :)

$50.00 with a sales tax of 7% will be $3.50. hope this helps:)

what is the sum to ?×?÷?=297​

Answers

Answer:

Step-by-step explanation:

Therefore, three consecutive integers that add up to 297 are 98, 99, and 100. We know our answer is correct because 98 + 99 + 100 equals 297 as displayed above.

Answer:

add up to 297 are 98, 99, and 100. We know our answer is correct because 98 + 99 + 100 equals 297 as displayed above.

What is the percent of increase from 6 to 9? Write your answer using a percent sign (%)

Answers

Answer:

The percent of increase from 6 to 9 is 50%

Step-by-step explanation:

Percentages

To calculate the percentage increase:

Work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Divide the increase by the original number and multiply the answer by 100.

We are required to find the percent increase from 6 to 9. Here: New number=9, Original number = 6

Increase = 9 - 6 = 3

Divide 3 by 6 and multiply the answer by 100:

3 / 6 * 100 = 50%

The percent of increase from 6 to 9 is 50%

The percent of increase from the number 6 to 9 is 50 percent.

The given numbers are 6 and 9.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The difference of the given numbers

= 9-6

= 3

The percent of increase = 3/6 ×100

= 0.5×100

= 50%

Therefore, the percent of increase from the number 6 to 9 is 50 percent.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ6

In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that _____.
a. there is no correlation between x and y
b. there is a negative correlation between x and y
c. there is a positive correlation between x and y
d. the y-intercept is 0

Answers

Answer:

c. there is a positive correlation in-between x and y

Step-by-step explanation:

A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.

Regression Analysis is defined as the set of statistical and reliable processes for establishing the relationship between the independent and dependent variables.

The correct statement can be given as:

In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y.

The regression line suggests that all the points lie near a particular line. It can be explained as:

1. In a simple regression analysis, the dependent variable is y.

2. Similarly, the independent variable is x.

3. Given, if the slope is positive, then the correlation will be positive.

4. The positive relation implies that if x increases then they will also increase in simple regression analysis.

Thus, in the simple regression analysis there exists a positive correlation between x and y.

To know more about simple regression lines, refer to the following link:

https://brainly.com/question/7656407

what is 35% as a fraction

Answers

Answer:

35/100

Step-by-step explanation: Hope this helps! :)

Answer:

[tex]\frac{35}{100}[/tex]

Step-by-step explanation:

% = /100So, 35% = 35/100

I hope this helps!

write and equation in slope intercept form for the following scenario. andy’s rental car charges an initial fee of $20 plus an additional $30 per day to rent a car

Answers

Answer:

y = 30x + 20

Step-by-step explanation:

y = mx + b

find b

b=20

find m

m=30

Given f(x) = 2x3 + ks – 4, and the remainder when f(x) is
divided by 3 + 2 is –18, then what is the value of k?

Answers

Answer:

15

Step-by-step explanation:

-k=7 integers equation

Answers

Answer:

-7

Step-by-step explanation:

A negative negative is a positive, because you are basically doing a negative times a negative which is a positive

please help me with 168÷45​

Answers

Answer:

3.73 ( The three is infinite)

Step-by-step explanation:

David buys a CD for $14.95. The sales tax is 8%. How much sales tax will he pay?

Answers

Answer:

He will pay $1.20 sales tax.

Step-by-step explanation:

Write an equation in slope-intercept form of the line that passes through (-5,19) and (5,13)

Answers

the slope intercept form is y=11+2/5x

b) (-4,-2) and (-3,5)
slope intercept form solve for b

Answers

Answer:

b= 26

Step-by-step explanation:

First, find the slope using the slope formula,

[tex]m=\frac{5-\left(-2\right)}{-3-\left(-4\right)}[/tex]       solve and simplify, m=7

plug in one pair of coordinates for the y and x for the slope intercept form,

(I'll just use (-3,5))

y=mx+b

5=7(-3)+b

5=-21+b

5+21=21-21+b

b=26                       After solving the problem, b=26

Feel free to ask for further assistance or comments

please help this counts as my grade!

Answers

Answer:

243

Step-by-step explanation:

Area=Base x Height.

18 x 13.5=243 :)

If George has 12 minutes to get to school how many seconds does he have

Answers

Answer:

he has 720 seconds left

Terrel has 8 nickels. Heather has twice as many nickels as Terrel. Heather spends 4 nickels to buy a pencil. Each nickel is worth 5 cents. Which expression shows how many cents Heather has left?

Answers

Answer:

12*5=x

Step-by-step explanation:

Which expression has exactly two terms 4n or 5y2 or 3x + 5 or a + b + 2​

Answers

Answer:

3x+5

Step-by-step explanation:

There are two terms. 4n is one term, [tex]5y^{2}[/tex] is one term, a+b+2 is three terms.

Hope this helps!

The expression has exactly two terms is 3x+ 5.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

1. 4n have only one term.

2. 5y² also have one term.

3. 3x + 5 have two terms.

4. a+ b + 2 have three terms.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

y= -(x-1)^2+1


please helppppp​

Answers

Answer:x:

y=-5/4

Step-by-step explanation:

Vertex (1,-1)

focus(1,-3/4)

Axis of symmetry(X=1)

I believe it is -1x+1

2 3/5 ÷ 2/7

9 1/10

26/35

6/35

4 1/10
choose one please

Answers

Answer:

The answer is 91/10

Step-by-step explanation:

hope this helps

Solutions:

2 3/5÷2/7

13/5÷2/7

13/5×7/2

=13×7=91

=5×2=10

That's why the answer is 91/10

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