There are 24 students in a class. 8 of the students are boys. Write th amount of the boys in the class as a fraction in its simplest form.

Answer:

2.25, or 2 1/4 or 9/4.

Step-by-step explanation:

3/4 times 3 = 9/4

Answer:

6*3=18 cups

Step-by-step explanation:

3 cups of flour to make 1 batch

so to make 6 batches = 3*6 = 18

Answer:

DCB = 44 degree

Step-by-step explanation:

DAB (given = 100

(180-100 ) / 2 = 40

ADB = ABD = 40 degree   (each)

ADC (given =  108

BDC =  DBA =  108-40 = 68 degree;

(subtracting angle inscribed within another triangle)

Triangle DBC =   180- 68+68 = 180 - 136 = 44 degree

Find DCB We have found BDC and DBA by deducting ADB from ADC

to get  BDC

Then we deduct BDC from ADC to get DCB

Given:

The equation is:

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

To find:

The value of a.

Solution:

We have,

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

On simplification, we get

[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]

[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]

On comparing both sides, we get

[tex]6-12a=-18[/tex]

[tex]-12a=-18-6[/tex]

[tex]a=\dfrac{-24}{-12}[/tex]

[tex]a=2[/tex]

And,

[tex]8-3a=2[/tex]

[tex]-3a=2-8[/tex]

[tex]a=\dfrac{-6}{-3}[/tex]

[tex]a=2[/tex]

Therefore, the value of a is 2.

Answer:

whats the qestion??

Step-by-step explanation:

The fire from the base of the tower is at 120 m and Option D is the correct answer.

The angle of depression is an angle formed between the horizontal line and the line of sight when an observer looks downwards at an object is known as an angle of depression.

The formula is

[tex]\rm sin\;\theta = y/z\\\\\\cos\; \theta = x/z\\\\\\tan\; \theta = y/x[/tex]

where x is the distance between the point of the ground and the object , horizontally,

y is the perpendicular distance between the surface to the object

and z is the measure of line of sight

[tex]\rm \theta[/tex] is the angle of depression = 14°

It is given in the question that y= 30 m

x= ?

To determine  we will substitute the value

[tex]\rm tan\; \theta = y/x\\\\\\tan \;14^{o} = 30/ x\\\\\\0.25 = 30/x\\\\\\\x= 30/0.25\\\\\\x= 120 m\\[/tex]

Therefore the fire from the base of the tower is at 120 m and Option D is the correct answer.

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Answer:

Tom = 5

Susan = 3

Step-by-step explanation:

FROM THE BOXPLOT :

Tom's IQR :

IQR = Q3 - Q1

Q3 = third quartile (value at the endpoint of the box)

Q1 = 1st quartile (value at the beginning of the box)

IQR = 9 - 4

IQR = 5

SUSAN :

IQR = Q3 - Q1

Q3 = third quartile (value at the endpoint of the box)

Q1 = 1st quartile (value at the beginning of the box)

IQR = 8 - 5

IQR = 3

Answer:

B

Step-by-step explanation:

200+50m >1250

This means that for every month her grandmother gives 50 for an unknown amount of months along with the first 200 dollars.

The greater than 1250 shows that until she is greater than 1250 she'll keep getting money

Answer: A IS CORRECT

Step-by-step explanation:

Answer:

First quadrant grid with points A, B, and C labeled

Step-by-step explanation:

Because that is the only option and I also don't see the graph

Answer:

280

Step-by-step explanation:

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

20740

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

Since the oranges cost 2.50 cents each then the ratio would be 2.50 cents to 1 orange, 2.5:1. James is buying 8296 oranges so we would have to multiply the ratio by 8296 since the oranges increased. 1 × 8296 = 8296.

2.5 × 8296 = 20740. James paid 20740 dollars for 8296 oranges. (20740:8296 would be the ratio.)

HOPE I HELPED!  ∧∧

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{WHY SO MANY ORANGES ono}

Answer:

Step-by-step explanation:

x is the quantity by which the original measurements of the garden is increased.  For example:  the original width is 5 ft and x is the amount by which this is increased.

x here is the added value in the width and length of his garden to increase the fencing.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.

He wants to increase the width and length of his garden and put a fence around it.

He writes an expression for the same, we need to find what is x here,

(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,

So, simply we can say that, x here is the extra length and width.

The farmer added x to each width and the length to increase his fencing,

So, his new dimension will be = x+15 and x+5

So, the perimeter = 2(x+15+x+5)

Here, the perimeter is fencing =

= 2(x+15+x+5)

= x+15+x+5+x+15+x+5

Hence, x here is the added value in the width and length of his garden to increase the fencing.

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Answer:

Volume of salt shaker  = 42.4 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of salt shaker = 5 cm

Diameter of salt shaker = 3 cm

Find:

Volume of salt shaker

Computation:

Radius of salt shaker = Diameter of salt shaker / 2

Radius of salt shaker  = 3 / 2

Radius of salt shaker = 1.5 cm

Volume of salt shaker  = Volume of cylinder + Volume of Hemisphere

Volume of salt shaker  = πr²h + (2/3)πr³

Volume of salt shaker  = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³

Volume of salt shaker  = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)

Volume of salt shaker  = 35.325 + 7.068

Volume of salt shaker  = 42.4 cm³ (Approx.)

Answer:

Annual premium = $1,500 per year

Quarterly premium = $375 per quarter

Step-by-step explanation:

Given:

Insured amount of term insurance plan = $15,000

Number of year = 10 year

Find:

Annual premium

Quarterly premium

Computation:

Annual premium = Insured amount of term insurance plan / Number of year

Annual premium = $15,000 / 10

Annual premium = $1,500 per year

Quarterly premium = Insured amount of term insurance plan / Number of quarter in 10 year

Quarterly premium = 15,000 / (10 x 4)

Quarterly premium = 15,000 / 40

Quarterly premium = $375 per quarter

Answer:

Length of Ladder(Hypotenuse)=18

Height of wall(Opposite) =14

How far from the base... This talks about the adjacent or distance between the wall and the base.

You can get your answer from Pythagoras theorem

Which states

The square of the hypotenuse is = to the squares of the adjacent and Opposite sides

H² = O² + A²

We're looking for the adjacent "A"

Making A the subject

A² = H² - O²

A= √H² - O²

A= √18² - 14²

A=√128

A= 8√2'

I have no clue this queshtion seems pretty hard.

Answer:

i think the area if shadded region is 16m

Answer:

The answer would be C. 31

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

15 Girls like fantasy books and 16 boys like fantasy books so in total the students that like fantasy books are 31.

hope this helps,have a great day!!

~Pinky~

Answer:

2.option is the correct answer

Answer:

9

Step-by-step explanation:

Given that ,

This is the case of direct proportion where , when quantity increases , the other also increases. Here we can use unitary method.

=> 8 people can sit on 1 table

=> 1 person can sit of 1/8

=> 72 people can sit on 1/8 * 72 = 9 tables

Answer:

the equation will be

Step-by-step explanation:

2x+y+5=0

Answer:

2x + y + 5 = 0

Step-by-step explanation:

The equation of line is x-2y = 14 and we need to find the equⁿ of line which passes through (-1,-3) and is perpendicular to given line.

=> x - 2y = 14

=> 2y = x - 14

=> y = x-14/2

=> y = x/2 - 7

=> Slope (m) = 1/2 .

Now the slope of line perpendicular to it , will have a slope ,

=>[tex] m_{perp}[/tex] = -1/m

=>[tex] m_{perp}[/tex] = -1/½

=> [tex] m_{perp}[/tex] = -2

=> m = (y - y₁) / ( x - x₁)

=> -2 = { y - (-3) } / { x - (-1) }

=> -2 = y + 3/x + 1

=> -2(x + 1) = y + 3

=> -2x -2 = y + 3

=> y + 2x +3+2 = 0

=> 2x + y + 5 = 0

Answer: X = 2

Step-by-step explanation:

Step 1: Simplify both sides of the equation!

Step 2: Subtract 4x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 2/(-7).

Answer:

156°

Step-by-step explanation:

2x + 4 + 24 = 180

2x + 28 = 180

2x = 180 - 28

2x = 152

x = 152 / 2

x = 76

The missing angle

= 2x + 4

= 2 ( 76 ) + 4

= 152 + 4

= 156°

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

=  [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

=  [ (2 × - 215) + (46 × 14) ]

    = 23.5 (- 430 + 644)

   = 23.5 × 214

   = 5029

Answer:

16

Step-by-step explanation:

Because the number is closer to 16, it can be rounded off to that. 15 31/40 is the same as 15.78. When the decimal is over .50 it is rounded up to the next whole number, but when it is under .50 it si rounded down to the nearest whole number. ex. since this one is over the .50, it's rounded up, but if it were 15.36 then it would be rounded down to 15. hope this helps :D