What is the value of x in the diagram

The ratio of adults to children at a party is 3:5. There are 72 people at the party. Find out number of children.

In this question we are provided with the ratio of adult and children 3 : 5 respectively. It is given that 72 people are there at the party. We are asked to calculate number of children.

We are asked to calculate number of children

Let us assume number of adults and children as 3x and 5x

It is given that total number of people are 72.

According To Question

3x + 5x = 72

→ 8x = 72

→ x = 72/8 = 9

x = 9

Adults = 3x = 3 × 9 = 27 people

Children = 5x = 5 × 9 = 45 people

Answer:

32 times

Step-by-step explanation:

the probability in getting a certain number is you first find out the chance of rolling one side on a die. There are six sides, and there is two numbers on it you want a 3 and a 1. so you would get 2/6 would be the fraction of what you what most likely get, so you would multiply 95 by 2/6 you get the correct answer

Answer:

[tex]x \: = \: \boxed{ \bold{ - 4 }}\: \: \text{or} \: \: x \: = \: \boxed{ \bold{ 8}}[/tex]

Step-by-step explanation:

[tex](x \: - \: 2 {)}^{2} \: + \: 2 \: = \: 38[/tex]

[tex] {x}^{2} \: - \: 4x \: + \: 4 \: + \: 2 \: = \: 38[/tex]

[tex] {x}^{2} \: - \: 4x \: + \: 6 \: = \: 38[/tex]

[tex] {x}^{2} \: - \: 4x \: + \: 6 \: - \: 38 \: = \: 0[/tex]

[tex] {x}^{2} \: + \: 4x \: - \: 8x \: - \: 32 \: = \: 0[/tex]

[tex]x \: \times \: (x \: + \: 4) \: - \: 8(x \: + \: 4) \: = \: 0[/tex]

[tex](x \: + \: 4) \: \times \: (x \: - \: 8) \: = \: 0[/tex]

[tex]x \: + \: 4 \: = \: 0 \\ x \: - \: 8 \: = \: 0[/tex]

[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]

[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]

This shows that the number of quarts she should you buy to stain the wheelchair ramp is 9 quart

This the sum of all the area of the surfaces. The given figures is made of 3 rectangles and 2 triangles

Determine the surface area

TSA = (25*25) + (2 * 5*301/12) + (5*2.08333)

TSa = 625 + 258.33333 + 10.41665

TSA = 893.74995

If a quart of stain covers 100 square feet, the total nuber to buy is given as:

Number to buy = 894/100 = 8.94

This shows that the number of quarts she should you buy to stain the wheelchair ramp is 9 quart

Learn more on surface area here: https://brainly.com/question/1297098

#SPJ1

The measure of the angle B from the isosceles triangle is equal to 28°. (Correct choice: D)

In this problem we have the case of an isosceles triangle, that is, a triangle with two sides of equal length and two angles of same measure. By properties from isosceles triangles, we know that the measures of sides AC and BC are the same and angles B and C are the same.

Then, if we know that AC = AB = 10 and m ∠C = 28°, then the measure of the angle B is equal to 28°.

To learn more on isosceles triangles: https://brainly.com/question/10147636

#SPJ1

By using the triangular inequality, we conclude that the other side must measure more than 3 inches and less than 13 inches.

Remember that the triangular inequality says that the sum of any two sides on a triangle is larger than the other side of the triangle.

If we define the missing side of the triangle as x, then we must have:

5 + x > 8

8 + x > 5

8 + 5 > x

From the third inequality we get the upper bound:

13 > x.

From the first inequality we get the lower bound:

x > 8 - 5 = 3

Then:

3 < x < 13

This means that the other side of the triangle must measure more than 3 inches and less than 13 inches.

If you want to learn more about triangles:

https://brainly.com/question/2217700

#SPJ1

Answer:

[tex]5 \leqslant x \leqslant 8[/tex]

Answer:

vertex

Step-by-step explanation:

The angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

The angle of elevation will be calculated by applying trigonometric property in the triangle given below;-

[tex]tan\theta=\dfrac{P}{B}[/tex]

[tex]tan\theta=\dfrac{70}{230}[/tex]

[tex]\theta=tan^{-1} (\dfrac{70}{230})[/tex]

[tex]\theta[/tex] = tan[tex].^{-1}[/tex](0.3043)

[tex]\theta[/tex]  = 16.9

Therefore angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

Answer: 63.63  m²

Explanation:

Area of circle:

Here given:

radius: (diameter/2) = (9/2) = 4.5 m

π should be taken as 3.142

So area of circle:

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the area of this circle.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

→ [tex]\bf{Area_{circle}=\pi r^{2}}[/tex]

Notice that we are asked to use 3.142 for [tex]\pi[/tex] (pi).

The radius isn't given to us;  what we have instead is...the diameter.

To find the radius, we divide the diameter by 2.

[tex]\ddot\bigstar[/tex] Remember this...

[tex]\fbox{\bf{To\;find\;the\;radius,\;we\;divide\;the\;diameter\;by\;2}}[/tex]

Thus, the radius is

[tex]\bf{9\div2=4.5}[/tex]

Now substitute the values (3.142 for pi and 4.5 for r):

[tex]\bf{A=3.142\times4.5^{2} }[/tex]

Simplifying,

[tex]\bf{A=3.142\times20.25}[/tex]

Simplifying,

[tex]\bf{A=63.6255\:m}[/tex]

Rounding to 2 decimal places (D.P.):

[tex]\bf{A=63.63\:m}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

~Just a smiley person helping fellow students :)

Answer:

18

Step-by-step explanation:

Here,

given,

a=3 and b=6

Then

4a+b=?

Put respective values on 4a+b

4*3+6

=12+6

=18

Answer:

18

Step-by-step explanation:

step 1:4a+b=

step 2:(4x3)+6=

step 3:12+6=

answer=18

hope this helps

A ratio shows us the number of times a number contains another number. Caitlin is right.

A ratio shows us the number of times a number contains another number.

The ratio of the ages of Mandy and Sandy is 2:5. Therefore, the ratio will be,

M/S = 2/5

M = 2S/5

After 8 years, their ages will be in the ratio 1:2, therefore,

(M+8)/(S+8) = 1/2

2M + 16 = S + 8

2M - S = -16 + 8

Substitute the value of M,

2(2S/5) - S = -8

-0.2S = -8

S = 40

Now, if we substitute the value of S in the first ratio,

M/S = 2/5

M/40 = 2/5

M = 16

Now, if we take the difference in their ages the difference will be 24(40-16).

Since the difference is 24, we can conclude that Caitlin is right.

Hence, Caitlin is right.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ1

Answer:

10%

Step-by-step explanation:

1. Convert 2 hours to minutes

            2(60) = 120 min.

2.Calculate the percentage

[tex](\frac{12}{120} )(100)=10[/tex]

12 minutes is 10% of 2 hours

Hope this helps

Answer:

The area of the circle would be 530.93 sq ft.

Step-by-step explanation:

The formula is A = π r². We know that the radius or r is 13, meaning that the new equation is A = π 13². 13 to the second power is 169 meaning that the formula would now be A = π(169). 169 times π is 590.93 getting you your answer. I hope this helped! :)

Answer:

2 5/8 inches

Step-by-step explanation:

There are 2 pieces 5 3/4 inches long.

There is 1 piece 5 1/2 inches long.

There are 4 pieces 5 1/4 inches long.

The seventh longest piece is one of the pieces measuring 5 1/4 inches.

Juan's piece is 1/2 as long as 5 1/4 inches.

1/2 × 5 1/4 inches = 1/2 × 21/4 = 21/8 inches = (16/8 + 5/8) = 2 5/8 inches

The value that could replace variable x in the table is (15 - m)8

The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.

From the table, the time to answer the whole multiple choice question is as follows:

total time = 3m

From the table, the total time taken to answer the free response question is as follows:

total time = (15 - m)8

learn more on variable here: https://brainly.com/question/12798965

#SPJ1

Answer: I believe it's C   8(15 - m)

Step-by-step explanation:

The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are given below.

(9.6 x 10⁻⁸) and (3.2 x 10⁴)

Then the quotient of the expressions will be

⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)

⇒ (3 x 10⁻⁸) / (10⁴)

⇒ 3 x 10⁻⁸ x 10⁻⁴

⇒ 3 x 10⁻⁸⁻⁴

⇒ 3 x 10⁻¹²

Then the correct option is D.

More about the division link is given below.

https://brainly.com/question/369266

#SPJ1

Answer:

Marked price: Rs. 4875

Cost price: Rs. 3750

Explanation:

(i) Cost price: 100%

(ii) Marked price: (100% + 30%) = 130%

(i) Let the cost price be p

(ii)  Marked price: 130% × p = 1.3p

Given, 20% discount then sold at 80%

Discount price: (130% × 80%) × p = 1.04p - discounted price

Gain price: 1.04p - p = 0.04p

Cost price:

0.04p = 150

p = 150/0.04 = 3750 ← This is the cost price.

Marked price:

1.3p  =  1.3(3750) = Rs. 4875

[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Given following:

Solve for b (distance between school and mall):

[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]

[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]

[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]

Answer:  the answer is x =4

Step-by-step explanation:  

Answer:

35     I did this before

Step-by-step explanation:

In 1st month let she exercised h hours

in second month she exercised h+4 hours

in third month she exercised h+4-3=h+1 hours

Now

Answer:

Let's say the unknown variable is h

In 1st month let she exercised h hours

in the 2nd month she exercised h+4 hours

in the 3rd month she exercised h+4-3=h+1 hours

Now, to display the sequence:

h+h+4+h+1=101

3h+5=101

3h=96

h=32hours

Step-by-step explanation:

If you know, the sine. You must find the cos ratio, using the Pythagorean trig theorem.

Next, you use the half angle identity for sin

[tex] \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos(a) }{2} } [/tex]

Example.

[tex] \sin( \alpha ) = \frac{ \sqrt{3} }{2} [/tex]

We must find

[tex] \sin( \frac{ \alpha }{2} ) [/tex]

First, use the Pythagorean identity

[tex] \sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) = 1[/tex]

[tex]( \frac{ \sqrt{3} }{2} ) {}^{2} + \cos {}^{2} (a) = 1[/tex]

[tex] \frac{3}{4} + \cos {}^{2} (a) = 1[/tex]

[tex] \cos {}^{2} (a) = \frac{1}{4} [/tex]

[tex] \cos( \alpha ) = \frac{1}{2} [/tex]

Now use the half angle identiy

[tex] \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} } [/tex]

[tex] = \frac{ \sqrt{1 - \frac{1}{2} } }{ \sqrt{2} } [/tex]

[tex] = \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } [/tex]

[tex] = \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2} [/tex]

So the answer for our example is 1/2

The equation on the graph is shown (I really hope this helps)

Equation of the translated graph is;

⇒y = cos(x - 30) - 1

What is equation of translated graph?

Equation of the translated graph is solved as;

g(x) = f(x + k) + C

Where, k and C are points.

Given that;

The equation is;

y = cos x

Since, Graph of function y = cosx is translated by (30, -1).

So, Equation of translated graph will be;

y = cos(x - 30) - 1

Hence, The equation of the translated graph will be;

⇒ y = cos(x - 30) - 1

Learn more about the translated graph visit:

https://brainly.com/question/25717482

#SPJ2

Answer:

27,032 Rupees

Step-by-step explanation:

$1.09 x 400 = $436

$436 x 62 = 27,032

(Hope this helps and that it's not wrong ^-^)

Answer:

405

Step-by-step explanation:

So he built 5/9 of the wall, than added the extra 180 bricks to finish the wall.

so 5/9 + 180 = 9/9

so 180 = 4/9 Because 5/9 + 4/9 = 9/9

So to figure out how many bricks are in the wall we want to know what 1/9 of bricks equals and to work this out we need to divide 180 by 4

which equals 45.

Now we know that 1/9 = 45

so now to figure out what 9/9 is just multiply 45 by 9 which equals 405

Answer:

405 bricks in total

Step-by-step explanation:

1 - 5/9 = 4/9

So 4/9 of the bricks are remaining, and "the last 180 bricks" is equal to 4/9

Using ratio method:

4/9 : 180

5/9 : x

x = 180 × 5/9 ÷ 4/9

x = 225

So 180 + 225 = 405 bricks in total

uhm i dont know sorry but i can't help you

Step-by-step explanation:

profit amount=150000-120000

profit amount=30000

profit %= profit amount/cost price*100

therefore profit percent=30000/120000*100

there for profit %=25%

The percentage of profit will be equal to 25%

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

The profit percentage will be calculated as:-

Profit amount =  150000-120000

Profit amount  =  30000

Profit %= profit amount/cost price*100

Profit percent=30000/120000*100

Profit percentage = 25%

Therefore the percentage of profit will be equal to 25%

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

The set of ordered pair that has point symmetry in respect to origin is (5, 4), (-5, -4).

This is a term that is used to refer to the points that are on the same distance from the origin but are on opposite sides.

The line that connects the points are known to move through the origin such that when measured on the graph, the distances between these points but they are opposite because they are in negatives and positives on the two sides.

Read more on point of symmetry here:

https://brainly.com/question/1553710

#SPJ1

Answer:

the answer is (5,4),(-5,4)

Step-by-step explanation:

Answer:

B. 75%

Step-by-step explanation:

If about a quarter ( 25% ) do like non-fiction, then we know that the rest do not prefer it ( 75% )

75 + 25 = 100