1. The ratio of children to adults at a swimming pool is 8:3. If there are 40 children at the pool, how many people are at the pool?​

Answers

Answer 1

Answer:

55

Step-by-step explanation:

You multiply 5 on both sides of the ratio, and you get 40 children : 15 adults. Adding that up, you would get 55 people.

Answer 2

Answer:

Step-by-step explanation:

Write and solve an equation of ratios.  The given ratio is 8:3.  The number of children is 40 and that of adults is 40 - c.  Note that c + (40 - c) = 40.

Solve the following equation of ratios for c:         8        40

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

                                                                                3          a

Cross multiplying, we get 8a = 120, of 15.  Then a = number of adults = 24.

Here a = 15 and c = 40.  Check the ratio 40/15; does it equal 8/3?  YES

The total number of people at the pool is 40 + 24, or 64


Related Questions

Make a table for 17-20
(We are working on using y=Mx+b)

Answers

Answer:y

=

6

x

17

Explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”

=

y

2

y

1

=

5

1

=

6

Horizontal difference “x”

=

x

2

x

1

=

2

3

=

1

Ratio = “rise over run”, or vertical over horizontal

=

(

6

1

)

=

6

for the slope, m.

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1

=

(

6

)

(

3

)

+

b

;

1

=

18

+

b

;

1

18

=

b

;

17

=

b

Thus the final equation is

y

=

6

x

17

We then check this by substituting the other known point into the equation:

5

=

(

6

)

(

2

)

17

;

5

=

12

17

;

5

=

5

CORRECT!

Step-by-step explanation:

Which of the following is a polynomial?
Ox2 + 2
01-1
7x7 - 2x-4 + 3
0 (x8–2)
(x-2+3)

Answers

Answer:

x^2 + 2

Step-by-step explanation:

can't have negative powers

Answer:

I think it's 7x7 - 2x-4 + 3

−6x+4+5x=2
what does x equal

Answers

Answer:

-2

Step-by-step explanation:

-6x+4+5x=2

-1x=2-4

-1x=-2

x= -2/1

x=-2

i need help with this thanks :)

Answers

Answer:

9 < x < 21

Step-by-step explanation:

Given 2 sides of a triangle then the 3rd side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

15 - 6 < x < 15 + 6 , so

9 < x < 21

Please help, What is the slope of the line???

Answers

Answer:

Step-by-step explanation:

The slope is calculated using rise over run, or y2-x2/y1-x1

The clear coordinates are (-3, 2) and (1,4).

Let 4 be y2, 1 be x2, 2 be y1 and -3 be x1.

4-1/2--3 (2+3)

the slope is 3/5

The area of the regular hexagon is 10. 4 in. 2. A regular hexagon has side lengths of 2 inches and an area of 10. 4 inches squared. An apothem is shown. What is the measure of the apothem, rounded to the nearest tenth of an inch? 1. 3 in. 1. 7 in. 2. 0 in. 3. 4 in.

Answers

Answer:

Step-by-step explanation:

Answer:

1.7

Step-by-step explanation:

Given:

Area of polygon=10.4

sides of polygon=2

Formula for area of a regular polygon= 1/2 (apothem x perimeter )

Putting value, we get

10.4= 1/2 ( a x 12 )

10.4=6a

a=10.4/6

a=1.73

Answer:

Step-by-step explanation:

1.7Step-by-step explanation:Given:Area of polygon=10.4 sides of polygon=2 Formula for ...

What do i do please help me

Answers

Answer: N times 3 plus 10

Step-by-step explanation:

1) Find the value of 1 + 3x when x = 1

Answers

Answer:

4

Step-by-step explanation:

So, since we already know x = 1, we just need to figure out what 3 x 1 is. (Since there's no space between the 3 and the x, 3x would be 3 times x.)

3 x 1 = 3.

So, our "new equation" is:

1 + 3

Add them together to find the answer:

1 + 3 = 4

4 is your answer.

Hope this helps and have a nice day!

9.3 divided by 0.8 I need to show my work

Answers

Answer:

11.625

Step-by-step explanation:

George makes $20 doing lawn work for 4 hours each
week. He wants to buy a $2,500 used car from his
grandmother. He has been saving this money for
30 weeks. How much has he saved?

Answers

Answer:

$600

Step-by-step explanation:

1 week = $20

30 weeks = 20 x 30 = $ 600

The saving of 30 weeks would be an amount of 600 dollars.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

George makes $20 doing lawn work for 4 hours each week.

He has been saving this money for 30 weeks

The saving of one week = $20

The saving of 30 weeks = $20 × 30

Apply the multiplication operation to get

The saving of 30 weeks = $600

Alternative method :

According to the given situation, we can write a ratio as

one week : 20 dollars = 30 weeks : x dollars

⇒ 1 / 20 = 30 / x

Apply the cross-multiplication operation,

⇒ 1 × x = 30 × 20

Apply the multiplication operation to get

⇒ x = 600

Hence, the saving of 30 weeks would be an amount of 600 dollars.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ2

Identify the center and radius of the circle (x+2)^2 + (y-3)^2 = 9

Answers

Answer:

(-2,3)

Step-by-step explanation:

Dont get fooled by the whole equation given to you the main part you should be looking at is (x+2) and (y-3) this gives you the answer for the x coordinate and y coordinate.

x+2 = 0

x = -2

y-3 = 0

y = 3

So now you have both coordinates x and y which is (-2,3)

:))

next numbers of the pattern

1,2,3,5,8,13,__and__

Answers

Answer:

21 and 34

Step-by-step explanation:

This is a Fibonacci sequence. Basically, the next term is the sum of the 2 previous terms.

Notice the third term, it's the sum of 2 and 1.

Notice the fourth term, it's the sum of 3 and 2.

Each term follows the same pattern.

The answer s are 21 and 34

1. Abby did 121 sit-ups in 8 minutes. Estimate
the number of sit-ups she
1 minute.

Answers

Answer:

15 sit-ups

Step-by-step explanation:

15.125 --> 15

Calculate the average the speed of a plane that travels 1,000 miles in 2.5 hours

Answers

Answer:

400 mph

Step-by-step explanation:

1000 / 2.5 = 400

Please helppp for brainly

Answers

Answer:

1.3 < x < 37.7

Step-by-step explanation:

Given 2 sides of a triangle then the 3rd side x is in the interval

difference of 2 sides < x < sum of 2 sides , that is

19.5 - 18.2 < x < 19.5 + 18.2 , then

1.3 < x < 37.7

What is reciprocal of the fraction in the equation 3/5(2x+8)=18?

Answers

Answer:

5/3

Step-by-step explanation:

The reciprocal is the fraction upside down.

What is the equation of the line that has a slope of - 3 and a y-intercept of 2?

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

We will use the form y = mx + b

m is the slope

b is the y intercept

y = -3x +2

It takes 3 km of the red to make five boxes of shirts how many kilometers of thread will it take to make three boxes

Answers

1.8k kilometers is needed to make 3 boxes

Nayeli is saving up to buy a new video game she already has $15 and can save an additional five dollars per week using money from afterschool job how much total money would Nayeli have after six weeks of saving also write expression that represents the amount of money Nayeli would have saved in W weeks

Answers

Answer:

5w + 15

$45

Step-by-step explanation:

(6)*(5) + 15 = $45

The amount of money Nayeli would have saved in W weeks is given by the equation A = 5W + 15

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

After one week of saving, Nayeli will have:

$15 + $5 = $20

After two weeks of saving, Nayeli will have:

$20 + $5 = $25

Continuing this pattern, we can find that after six weeks of saving, Nayeli will have:

$15 + 6($5) = $45

So, after six weeks of saving, Nayeli will have $45.

Amount saved = starting amount + (amount saved per week) × (number of weeks)

Amount saved = $15 + ($5)W   be equation (1)

So, the expression that represents the amount of money Nayeli would have saved in W weeks is

A = $15 + ($5) W

Hence , the equation is A = 5W + 15

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ3

Aarav has 3,250 followers on social media. His number of followers is increasing at a rate of 3% per week. Which function represents his number of followers each week?

A.
f(w) = 3,250(3)w

B.
f(w) = 3,250(1.03)w

C.
f(w) = 3,250(0.03)w

D.
f(w) = 3,250(0.97)w

Answers

Answer:

Step-by-step explanation:

3,250(3)w

B.

f(w) = 3,250(1.03)w

C.

f(w) = 3,250(0.03)w

D.

f(w) = 3,250(0.97)w

Find the output, y when the input, x, is 2

Answers

Answer:

-2

Step-by-step explanation:

Can anyone please answer this?

Answers

Answer:

y=1/4x+9

Step-by-step explanation:

Answer:

The picture is black.

Step-by-step explanation:

Reupload and I'll try to answer

The ratio of elephants to tigers at the local zoo is 1:4. There are 20 elephants at the zoo. How many tigers are there?

Answers

Answer:

Ans : 80 tigers

Step-by-step explanation:

1:4

20 elephant : 80 tigers

Let the no. of tigers be x

a/q,

1 : 4 :: 20 : x

→ 1x = 4 × 20

→ x = 80

hence, no of tigers = 80

Find the value of x in the triangle shown below

Answers

Answer:

x = 62

Step-by-step explanation:

The triangle is isosceles. That means two sides are equal. The angles opposite those equal sides are also equal.

Every triangle has 180 degrees.

The unmarked angle is also x.

x + x + 56 = 180             Combine the left

2x + 56 = 180                 Subtract 56 from both sides

2x = 180 - 56

2x = 124                         Divide by 2

2x/2 = 124/2

x = 62

2+2^2 divided by 4+3

Answers

Answer: 6

Step-by-step explanation: 2^2=4

4/4=1  1+2+3=6


The polygons are similar Find the value of x

Answers

Answer:

The value of the x variable is 30.

Step-by-step explanation:

Since the triangles are similar, the corresponding sides of both triangles have a common ratio. The 18:12 ratio of side LK and QR is equal to 2:3, and the 21:14 ratio of sides JL and PQ is also equal to 2:3. Based on this, we know that 2/3 * x = 20, so we isolate the x variable by dividing both sides of the equation by 2/3 to get the answer: x = 30.

Write – 19 7/10 as a decimal number.

Answers

Answer:

I looked it up

Step-by-step explanation:

So the answer is that 19 7/10 as a decimal is 19.7.

pls help its just a model question​

Answers

Answer:

H is true because 3 times 2 is 6 +3 times x is 3x

Please find the attached photograph.

We can infer that the option H. is correct.

Hope it helps.

Do comment if you have any query.

The following points lies on a Given line (10,0) and (0,-15) who’ve of the following points will also Be on the given line

(10,5) b(-3-15) c (1,-13.5). D(12,5)

Answers

Answer:

Step-by-step explanation:

We can form an equation from the two given points.

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, (10,0) and (0,-15). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (0,-15) and ending at (10,0):

Rise = (0-(-15)) = +15

Run = (10-0) = 10

Rise/Run (slope) = 15/10 or 1.5

The equation becomes y = (1.5)x + b

We know b, since it is the value of y when x=0. The point (0,-15) says -15 when x=0. You can also can find b by entering either of the two given points and solving for b. I'll pick (10,0):

y = (1.5)x + b

(0) = (1.5)*(10) + b

0 = 15 + b

b = -15

The equation is y = (1.5)x - 15

Check this with a DESMOS graph (attached).

Type the missing digit below
4_3,302 is divisible by 9.

Answers

Answer:

463,302 is divisible by 9

Step-by-step explanation:

technically they're all divisible by said digit but when you put 6 it's the only one with a product of a whole number. hope this helps.

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