Two positive integers that differ by 9 are in the ratio of 8 to 11. What is the value of the smaller of the two numbers?​

Answers

Answer 1

The numbers are 24 and 33 so the smaller one is 24

Answer 2

Answer:

24 and 33 are the numbers among which 24 is the smallest.

Step-by-step explanation:

Let one positive integer be x, then another will be x - 9

Solve:

[tex]\sf \dfrac{x-9 }{x} = \dfrac{8}{11}[/tex]

cross multiply

[tex]\sf 11x-99= 8x[/tex]

collect like terms

[tex]\sf 11x-8x = 99[/tex]

simplify

[tex]\sf 3x = 99[/tex]

divide both sides by 3

[tex]\sf x = 33[/tex]

As the integer is positive, x = 33, then another will be 33 - 9 = 24.


Related Questions

Find the area of the parallelogram:

Answers

Answer:

36 unit^2.

Step-by-step explanation:

Area = base * perpendicular height

        = 6 * 6

        = 36.

2(4x - 3) - 8 = 4 + 2x

Answers

Answer: x=3

Step-by-step explanation:

2(4x - 3) - 8 = 4 + 2x

8x - 6 - 8 = 4 + 2x

8x - (6 + 8) = 4 + 2x

8x - 14 = 4 + 2x

8x - 14 + 14 = 4 + 14 + 2x

8x = 18 + 2x

8x - 2x = 18 + 2x - 2x

6x = 18

6x/6=18/6

x=3

x = 3

first you want to distribute 2 to 4x and -3

8x-6 -8 = 4 +2x

then you subtract the numbers on the left side

8x-6-8
8x-14= 4 +2x

then we want to rearrange the 4 and 2x


8x - 14 = 2x+4

the add 14 to each side and move 2x to both sides


6x=18

then divide

x=3

if this helps Brainliest me on this answer thanks :)))

The monthly rent on an ​-square-meter apartment in Monte​ Carlo, Monaco, is $1000 euros. The monthly rent on a ​450-square-foot apartment in Santa​ Fe, New​ Mexico, is ​$900. In terms of price per​ area, which apartment is less​ expensive?

Answers

The apartment in santa fe  is less expensive

Rent in an-square-meter apartment in Monte Carlo = 1000 euros.

rent on a 450-square-foot apartment in Santa Fe  =  $900

To Find:

Which apartment is less expensive =?

Price per area in Monte Carlo

Cost per square meter in Monte Carlo

=>total rent / total area

=>1000/1

=> 1000euros per square meter

Converting to euros per square meter to dollars per square foot

1 Euro per square meter=  0.102355924 U.S. dollars per square foot

1000 euros per square meter = 0.102355924 x 1000 = 102.3559U.S. dollars per square foot------------------------(1)

Price per area Santa Fe, New Mexico

=>900/450

=>2

=> 2dollars per square foot-------------------------(2)

From (1) and (2)

102.3559> 2

Hence, The apartment in santa fe  is less expensive

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EASY QUESTION 20 POINTS 20 MiNUTS LEFT

Answers

Answer:

10.125 i know it hope thisbhelps

Step-by-step explanation:

A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole. The individuals in this data set are shown below.

A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate.

Which of the variables in the data set is a categorical variable?

hole number
yards
bunker
difficulty level

Answers

The categorical data in the table is the number of holes (option 1).

What is a categorical data?

Categorical variables are variables that can only take on a fixed or a limited number of values. Categorical variables are examples of qualitative data.

Categorical variables can be binary. This mean that they can either have two values. An example of categorical variable is yes or no. Binary variables can also be called  dichotomous variable. A categorical variable is polytomous if can have more than two values.

In this question, the maximum hole number possible is 18 holes. The number of holes cannot exceed this number. Thus, the hole number is limited or fixed. Thus, hole number is a categorical data.

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I really need help i don't get it can some one help its due by Monday 9/8/22

Answers

Answer:

ayannah is correct

Step-by-step explanation:

Ayannah is correct becauseyou can divide both 19 and 133 by 19 which gives you 1/7. 1/7 isn't divisible by anything else so that's the simplest form.

Answer:

Ayanna is correct because 19/133= 1/7

Step-by-step explanation:

Simplest form means reducing fractions to its lowest term.

Create the Subset and Proper Subset of the set A= {1,2,3,4}. Upload your work.

Answers

The subset of A is B = {1, 2} and the proper subset of A is C = {1,2,3,4}

How to create the Subset and Proper Subset of the set?

The set is given as:

A = {1,2,3,4}

Subsets of a set are sets that can be found in another set

An instance of this is

B = {1, 2}

Because all the elements of set B are in set A

Proper subsets of a set are sets that contain the exact elements found in another set

An instance of this is

C = {1,2,3,4}

Because set C and set A have the same elements

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If JK = x + 8, KL = 10, and JL = 7x, what is JK?

Answers

Answer:

10 is the jk because x + 8 is 10

I hope it will help

Answer:

11 units

Step-by-step explanation:

It's clear that,

JL = JK + KL

Given that,

JK ⇒ ( x + 8 )

KL ⇒ 10

JL ⇒ 7x

So, by using these data we can make an expression like this.

JL = JK + KL

7x = x + 8 + 10

Now make x the subject and find the value of x.

7x = x + 8 + 10

7x = x + 18

7x - x = 18

6x = 18

6x/6 = 18/6

x = 3

And now let us find the value of JK.

JK ⇒ x + 8

To, find the value of JK we have to replace with 3.

JK ⇒ x + 8

JK ⇒ 3 + 8

JK ⇒ 11 units

Why does the range of this function include negative values? What is the significance of the point where the graph crosses the horizontal axis?

Answers

The range is the set of y outputs. In this case, the range is the profit.

A negative profit means the company lost money. This is when the cost is larger than the revenue. For instance, if the revenue was $100 but the cost is $150, then the profit = revenue - cost = 100-150 = -50 to signal they lost $50.

Positive profit means the company made money.

The x intercept represents the break-even point. This is where the company neither loses money, nor gains money. The profit is $0 here.

Answer/Step-by-step explanation:

In order to open a restaurant you have to rent a venue, furnish and decorate it, hire a staff and buy food and drinks. Before serving (selling) any meals you have to spend a lot of money. This is why the negative y-values.

At the point where the line crosses the x-axis (horizontal axis) you now begin to have a positive output to your operation. If you sell enough meals, you will turn a profit. That is, you make enough money to pay all those start-up expenses and still have money left over to keep!

Answer Question a),b) and c)

Answers

Answer:

a. leisure

b. £189

c.£ 1610

Step-by-step explanation:



Which fraction is equivalent to
9/18?

Answers

Answer:

Step-by-step explanation:

2/4

Average Allowance
Amount Frequency
$20
$15
$10
$5
11 P What is the
mode of this
data on
allowance
amounts?
##
MH MH
|||

Answers

Answer:10

Step-by-step explanation:

2.30x10^4 standard notation

Answers


The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s):

2.3 -> 23000

(6x²y − 7) − (3xy² + x²y² − 2)

Answers

Answer:

-x^2y^2+6x^2y-3xy^2-5

Step-by-step explanation:

It kind of depends on what you are planning to do with the following expression. However, if you are looking to simplify the expression, the solution is:

[tex]6x^2y-3xy^2+x^2y^2-9[/tex]

Hope this helps! If not, feel free to comment below and I will see what else I can do to help. If it did help, lmk! Thanks and good luck!

The height above ground of a cannon is a function of the time since it was shot.
Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range.

Answers

The height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground

When time equals 0, why is the height of the cannonball not equal to 0?

From the graph, we have the y-intercept to be

y-intercept = (0, y), where y > 0

This means that the graph starts above the origin

This in other words mean that the initial height of the cannonball is above the ground (e.g. it could be on a building)

Hence, the height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground

Describe the domain and the range of this function

In this case, the domain is from t = 0 till the ball lands on the floor, while the range is from the initial height of the cannonball till the maximum height

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The region [tex]R[/tex] is bounded by the lines [tex]x=2[/tex], [tex]x=3[/tex], [tex]y=-1[/tex], and the curve [tex]y=\frac{1}{2+x^3}[/tex]. Suppose a solid is formed by revolving [tex]R[/tex] about an axis. Use the disk/washer method to set up the integral (or expression involving sums of integrals) giving the volume of the solid formed when [tex]R[/tex] is revolved about [tex]x=-5[/tex].

Answers

The curve intersects the vertical lines when

[tex]x=2 \implies y = \dfrac1{2+2^3} = \dfrac1{10}[/tex]

and

[tex]x=3 \implies y = \dfrac1{2+3^3} = \dfrac1{29}[/tex]

Split up the region into washers of thickness [tex]\Delta y[/tex].

For [tex]-1\le y\le\frac1{29}[/tex], the inner and outer radii of each washer will be constant, with outer radius [tex]x=3[/tex] and inner radius [tex]x=2[/tex]. Each washer in this interval will contribute a total volume of

[tex]\pi (3^2 - 2^2) \Delta y = 5\pi\,\Delta y[/tex]

For [tex]\frac1{29} \le y \le \frac1{10}[/tex], the washers will have a varying outer radius of length

[tex]y=\dfrac1{2+x^3} \implies x = \sqrt[3]{\dfrac1y - 2}[/tex]

and inner radius [tex]x=2[/tex]. Their volumes are

[tex]\pi \left(\left(\sqrt[3]{\dfrac1y - 2}\right)^2 - 2^2\right) \, \Delta y = \pi \left(\left(\dfrac1y - 2\right)^{2/3} - 4\right) \, \Delta y[/tex]

Let [tex]\Delta y\to0[/tex]. Then as the number of washers goes to infinity, the total volume of the solid converges to the definite integral

[tex]\displaystyle 5\pi \int_{-1}^{1/29} dy + \pi \int_{1/29}^{1/10} \left(\left(\dfrac1y - 2\right)^{2/3} - 4\right) \, dy[/tex]

The first integral is trivial, but the second one requires hypergeometric functions to evaluate exactly. With a calculator, we find the approximate volume to be 0.117884.

Please help me solve this I’ll give you brainliest!

Answers

Answer:

b. x = -3

Step-by-step explanation:

3x + 6 = -3

     - 6 | - 6 (isolate variable)

3x = -9

/3  |  /3  (isolate variable_

x = -3

Solve |p + 2| = 10
{-8, 8}
{-12}
{-12, 8}

Answers

Answer:

{-12, 8}

Step-by-step explanation:

Let's solve your equation step-by-step.

|p+2|=10

Solve Absolute Value.

|p+2|=10

We know eitherp+2=10orp+2=−10

p+2=10(Possibility 1)

p+2−2=10−2(Subtract 2 from both sides)

p=8

p+2=−10(Possibility 2)

p+2−2=−10−2(Subtract 2 from both sides)

p=−12

EAY QUESTION 20 POINTS

Answers

Answer:

is it a im not sure im probably wrong

Answer:

B

Step-by-step explanation:

2^4 x 7^4 = (2 x 7)4 = 14^4

Jennifer bought 3 4 kg of white rice and 1 8 kg of brown rice. How many kilograms of rice did she buy altogether?

Answers

Answer:

52kg

Step-by-step explanation:

it's just sum of the kgs bought


Convert y = 0.25x + 7/8 into standard form.

Answers

Answer: -0.25x+y=7/8

Step-by-step explanation:

y = 0.25x + 7/8

-0.25x+y=7/8 ==>Subtract 0.25x from both sides to get the Ax+By=C format

the length of a rectangle is three more than double the width. if the perimeter is 126 inches, find the dimensions

Answers

Answer:

the answer is 378

Step-by-step explanation:

jist multiply 126 by 3

Write the following expression using the fewest possible terms.

(−8 + 2.7p) + (13.6p − 2)

16.3p + (−10)
16.3p + (−6)
10.9p + (−6)
1.63p + (−10)

Answers

Answer:The answer would be 16.3p +(-10)

Step-by-step explanation: 13.6p + 2.7p is 16.3

                                               -8-2 is -10

                                              so the answer would be 16.3p +(-10)

What is the area of a circle with a diameter of 10 inches?What is the area of the circle shown below?
A circle with radius 8 centimeters.
a.
8 pi cm2
c.
StartFraction 16 Over 3 EndFraction pi cm2
b.
16 pi cm2
d.
64 pi cm2

Answers

The area of circle of diameter 10 inches is 25π in.² and,

area of circle of radius 8 cm is 64π cm².

How is Area of circle is calculated ?

Area of circle is calculated using formula :

A = πr²

1) It is given that diameter of circle is 10 inches then the radius will be half of it that is :

d = 10 inches

r = 5 inches

Now calculating the area of circle using the above formula :

A = πr²

A = π(5)²

A = 25π in.²

2) It is given that radius of circle is 8 cm then calculating area using above formula :

A = πr²

A = π(8)²

A = 64π cm²

Therefore, the area of circle of diameter 10 inches is 25π in.² and,

area of circle of radius 8 cm is 64π cm².

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I DONT UNDERSTAND HELP

Answers

Answer:

Step-by-step explanation:

298°+29°+(-116+x)°=360°

x=360°-298°-29°+116°

x=149°

Step-by-step explanation:

298°±29°±(-116±x°)=360

x=360°-298°-29°+116°

x=149°

Can someone help me with this?

Answers

Answer:

Choice A: 11

Step-by-step explanation:

We have x² - y² = 19

x² - y²  = (x + y)(x-y)

So (x + y)(x-y) = 19

Since x and y are integers as per the first statement (x, y ∈ Z), we also have x + y = integer and x-y = integer

Take (x + y)(x - y) = 19

Since 19 is prime its only factors are 1 and 19

So we have two situations which can satisfy the above
Either x + y = 1 and x -y  19 or x + y = 19 and x -y = 1

1. Let's try x + y = 1 and x - y = 19
Adding both equations together gives us 2x = 20 (y-terms cancel)

==> x = 10 ==> 10 + y = 1 or y = -9

So 2x - 9 => 2(10) - (-9)  = 20 + 9 = 29

This is not one of the choices so we can go on to the next case

2 Let's take x + y = 19 and x - y = 1


Adding these two equations gives us
2x = 20, x = 10 as before


Use 10 in the equation x + y = 19

==> 10 + y = 19

==> y = 19 - 10 = 9

2x - y ==> 2(10) - 9 ==> 20 - 9 = 11

So answer is choice A:  11

Which benchmark fraction is 4/7 closest to?
A. 1/2
B. 1/4
C. 3/4
D. 4/4​

Answers

Answer: being that it’s 4/7 it’s closer to 1/2

630 people went a McDonald's yesterday. If 60% of them ordered fries, how many ordered fries?

Answers

Answer:

378 people ordered fries

Step-by-step explanation:

60% of 630 is

60/100 × 630

= 3/5 × 630

= 3 × 126

= 378

-Solve for b
3b-5>-8 or b-4≤0

Answers

Answer: -1<b≤4

Step-by-step explanation:

3b-5>-8 or b-4≤0

3b>-3 or b≤4

b>-1 or b≤4

-1<b≤4

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
5y2 - 8y = 2

Answers

The solution of y are 1.82 and -0.22

The general expression for quadratic equation is given as :

                  ax² + bx + c = 0

The quadratic formula of the above equation is given as

              x = -b ± √b²-4ac / 2a

According to the question we have been the expression as

          5y² - 8y = 2

Converting it into general expression we get

         5y² - 8y - 2 = 0

Putting the required value in above quadratic formula we get

    y = -(-8) ± √(8)² - 4*5*(-2) / 2*5

    y = 8 ± √64 + 40 / 10

    y = 8 ± √104 / 10

    y = (8 ± 10.2)/10

y = 8 + 10.2 / 10       and    y = 8-10.2 / 10

y = 18.2 / 10              and    y = -2.2/10

y = 1.82               and   y = -0.22

Hence the solution of y are 1.82 and -0.22

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