Mathematics High School

nathan smiled at 50 people one day and recorded that 36 people smiled back at him.Based on his observations how many people should nathan expect to return a smile if he smiles at 650 people over a period of time

Answers

Answer 1

Given :

Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.

To Find :

How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.

Solution :

Ratio of people smiled by total number of people is :

[tex]R = \dfrac{36}{50}[/tex]

Now, it is given that we have to use the given conditions.

Therefore, ratio will be same :

[tex]\dfrac{s}{650}=\dfrac{36}{50}\\\\s = \dfrac{36}{50}\times 650\\\\s = 468[/tex]

Therefore, number of smiles Nathan expect to return is 468.

Related Questions

The area of a circle is 9π ft². What is the circumference, in feet? Express your answer in terms of \piπ. (pi)

Answers

Answer:

6π feet.

Step-by-step explanation:

The area = π r^2 = 9π

So r^2 = 9π/π = 9

r = 3 ft.

So the circumference = 2πr

= 2*π*3

= 6π feet.

The circumference of a circle with radius 3 feet is 6π feet.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the perimeter or circumference of a circle is 2πr and the area

is πr².

Given, The area of a circle is 9π ft².

Therefore, πr² = 9π.

r² = 9.

r = 3.

Now, we have a circle with a radius of 3 feet.

So, The circumference of the circle with radius 3 feet is,

= 2π×3 feet.

= 6π feet.

So, The circumference of the circle is 6π feet.

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Find the measure of QA

Answers

Answer:

Step-by-step explanation:

3x+16=7x because they are the same length.

4x=16

x=4

Place x in 3x+16

12+16

Mo has five number cards.
Here is some information about his number cards.
• The cards are in ascending order.
• The range of the number cards is 32
The greatest number divided by the median number is 8
• The three numbers in the middle have a product of -36
What could Mo's number cards be?

Answers

Answer:

-16 -6 2 3 16

Step-by-step explanation:

Using basic knowledge of arithmetic operators, we find that a possible choice of Mo's number card is -16, -6, 2, 3 and 16.

What are arithmetic operators?

The arithmetic operators perform addition, subtraction, multiplication, division, exponentiation, and modulus operations.

Given the information about the five numbers.

Let the five numbers be a < b < c < d < e.

Let a = -16 to begin with.

Given, range = 32 implies that e - a = 32.

e = 32 + a = 32 - 16 = 16

The greatest number divided by the median number is 8.

Greatest number = e = 16

Median = middle number = c

[tex]\frac{e}{c} = 8\\ \\c = \frac{e}{8} = \frac{16}{8} = 2[/tex]

The three numbers in the middle have a product of -36.

[tex]bcd = -36\\\\bd = \frac{-36}{2} = -18\\[/tex]

Since, bd = -18, one of b or d has to be negative.

We know, b < d, thus b is negative and d is positive number.

Also, b < 2 and d > 2.

The best possible choice is b = -6 and d = 3.

The 5 numbers chosen by Mo are -16, -6, 2, 3 and 16.

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Adam divides 32/8032. In which place should he write the first digit of the quotient?

Answers

Answer:

We have a quotient between a 2 digit number and a 4 digit number.

The usual rule for this type of problems is:

If the denominator has n more digits than the numerator, then the first digit will be in the nth position at the right of the decimal point.

If also, the denominator is larger than the numerator times 10^n, then the decimal will be moved another place to the right.

For example, if we divide 10 by 100 we have:

10/100

The denominator has one more digit than the numerator, then n = 1.

this means that the first digit of the quotient, will be on the first place at the left of the decimal point.

We can solve the quotient to get:

10/100 = 0.1

And, as we predicted, the first decimal is in the first place.

Now, with our quotient we have:

32/8032

n = 2.

and:

32*10^n = 3200

The denominator is larger than this, then we will move the first decimal to another place to the right.

Then we should expect to have the first decimal in the third place after the decimal point.

We can solve the quotient to get:

32/8032 = 0.0039

As we expected.

solve pleaseeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

I got this!

suppose the number is x

72% of x is 90

=> 0.72x=90

=> x=90/0.72

=> x=125

The 90 is 72 percent of approximately 125. In other words, if the unknown number is 125, 72 percent of 125 would be equal to 90.

To calculate the number that 90 is 72 percent of, we can set up the proportion:

90 is to x as 72 is to 100.

This proportion can be expressed as:

90/x = 72/100.

To solve for x, we can cross-multiply:

90 * 100 = 72 * x.

Simplifying the equation:

9000 = 72x.

Next, divide both sides of the equation by 72:

9000/72 = x.

x ≈ 125.

Hence, 90 is 72 percent of approximately 125. In other words, if the unknown number is 125, 72 percent of 125 would be equal to 90.

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PLEASE HELP MEEE

:))

Answers

Answer:

Question (1) is 5

Step-by-step explanation:

3x3=9

9+1=10

— = 5

Answer:

1.) 5

3²=9

9+1=10

10/2=5

2) 12

5×2=10

10-10=0

4×3=12

0+12=12

4) 69

3×2=6

6×3=18

18-5=13

13+10=23

23×3=69

I hope this helps:

Solve x/2-8=y for x
PLEASE HELP

Answers

Answer:

I do not know what you mean by the way

point (-4,-8) Reflected across the y-axis

Answers

Answer:

(4,-8)

Step-by-step explanation:

Where is the point on the opposite side of the y-axis?

The answer would be (4, -8)

Can someone solve this with the method of subtraction using addition please quick

Answers

Answer:1. X=2 y=4

2. X=2.5 y=3

3.x=0 y=-1

Step-by-step explanation:

1. 6x=12

x=2

replace

4+y=8

y=4

8x=20

x=2.5

replace

5+3y=14

y=3

-6y=6

y=-1

replace

x=0

The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.

Answers

Answer:

The value of x is 6

Step-by-step explanation:

The perimeter of an equilateral triangle is P = 3 × S, where S is the length of each side

∵ The perimeter of an equilateral triangle is 63 inches

∴ P = 63 inches

→ By using the rule of the perimeter above

∵ P = 3 × S

→ Equate the right sides of P

∴ 3 × S = 63

→ Divide both sides by 3

∴ S = 21 inches

∴ The length of each side is 21 inches

∵ The length of each side is (4x - 3)

→ Equate (4x - 3) by the length of each side

∴ 4x - 3 = 21

→ Add 3 to both sides

∵ 4x - 3 + 3 = 21 + 3

∴ 4x = 24

→ Divide both sides by 4 to find x

∴ x = 6

Answer:

(- 4, - 10 )

Step-by-step explanation:

Given the 2 equations

- 10x + 2y = 20 → (1)

y = 3x + 2 → (2)

Substitute y 3x + 2 into (1)

- 10x + 2(3x + 2) = 20 ← distribute parenthesis and simplify left side

- 10x + 6x + 4 = 20

- 4x + 4 = 20 ( subtract 4 from both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Substitute x = - 4 into (2) for corresponding value of y

17000

Step-by-step explanation:

Mark as brainliest thanks!

Write 4 x 3,569 in expanded form to show the place value of each digit. Then find the product.

(4 x
) + (
x 500) + (4 x
) + (4 x
)

Final product: =

Answers

The answer would be 14,276

The answer of the given equation is 14,276.

Given that,

There is two numbers i.e. 4 and 3,569.We need to find out the product of these two numbers.

Based on the above information, the calculation is as follows:

[tex]= 4\times 3569[/tex]

= 14,276

Therefore we can conclude that The answer of the given equation is 14,276.

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Malala is following this recipe for bread rolls.
She uses 200 ml of water.
How much of each of the other ingredients does she use?

Recipe: Makes 15 bread rolls
550 g flour
12 g salt
10 g yeast
30 ml oil
500 ml water

Answers

Answer:

Apart from the 200 grams of water, Malala will use 220 grams of flour, 4.8 grams of salt, 4 grams of yeast and 12 miligrams of oil.

Step-by-step explanation:

Since Malala uses 200 ml of water for her bread rolls, when the recipe indicates that 500 ml should be used, this implies that she is using 40% of the indicated measures.

Therefore, to know how much use of the remaining products, following with the same proportion, the following calculations must be made:

Flour: 550 x 0.4 = 220 g

Salt: 12 x 0.4 = 4.8 g

Yeast: 10 x 0.4 = 4 g

Oil: 30 x 0.4 = 12 ml

Move the numbers to the lines to order them from least to greatest.
1.25
|2|
2.5
|-9/4|
-3/2

Answers

Answer:

Im guessing, on a number line. Negative to the left, positive to the right they would be: |-9/4|, -3/2, 1, 25, |2|, and then 2.5.

Step-by-step explanation:

MARK AS BRAINLIEST PLZ!

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