find the quotient : 83)967

Answer:

This will be 12/20

Step-by-step explanation:

You take the number of favourable outcomes (12, as there are 12 boys) and take the number of total outcomes (20, as there are 20 people in total). Then you do the number of favourable outcomes over the number of total outcomes. This equals 12/20. I hope this helps

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

The fraction for boys out of 20 students is 3/5.

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

Example: 2/3, 5/7, 1/3

We have,

Total number of students = 20

Number of boys = 12

The fraction of the boys is:

= Number of boys / Total number of students

= 12 / 20

We can write along with its common factors.

= 2 x 6 / 2 x 10

Common values are canceled out from the numerator and the denominator.

= 6 / 10

We can write it as along with its common factor.

= 2 x 3 / 2 x 5

Common factors are canceled out from the numerator and the denominator.

= 3/ 5

Thus the fraction for boys out of 20 students is 3/5.

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Answer:

yes they are congruent because they have the same size and shape

Step-by-step explanation:

stop stealing peoples points bruh

Answer:

54

Step-by-step explanation:

Mike saves $36 by buying the shirts at a discounted price.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

Given the offer,

By 1 at regular price ($45) and get 40% off on two shirt

40 % of 45 ⇒ 0.40 × 45 = $18

So shirt price = 45 - 18 = $27/each

Since 2 shirt buy at this price = 2 × 27 = $54

Money saved = 2×45 - 54 = $36

Hence "Mike saves $36 by buying the shirts at a discounted price".

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Given question is incomplete complete question is ;

Answer:

5:15 simplifies to 1:3.

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

the slope is -3

Step-by-step explanation:

Answer:

So he could become a travel burro.

Step-by-step explanation:

The solution to some of the algebraic expressions in the excerpt titled "Why did the donkey get a passport?" is 8x² - 3x + 17 and 2x² + 9x + 3

Why did the donkey get a passport is a title for a series of algebraic expressions that need to be solved.

An algebraic expression is a mathematical expression that comprises integers, variables, and arithmetic operations.

In the title "Why did the donkey get a passport?", we have some of the following questions:

Simplifying the algebraic expressions, we have:

1.

8x² + 2x - 5x + 17

8x² - 3x + 17

2.

4 - 3x² - 9x - 7 + x²

By rearrangement

x² - 3x² - 9x -7 + 4

-2x² - 9x - 3

Multiply through by (-)

2x² + 9x + 3

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Answer:35 dollars each

Step-by-step explanation: Because if you take the $40 out of 180 you get 140 then you divide 140 by 4 and you get 35. Hope this helps.

Answer:

The possible lengths of TR : TR = 17, 40, 42, 52,

Step-by-step explanation:

Given: Triangle WTR with WT = 25 and WR = 40. Identify all possible lengths for TR.

To find the possible lengths of the third side of a triangle:

c - a< b > a + c

a = WT = 25

c = WR= 40

b = TR = ??

40 - 25 < b < 40 + 25

15 < b < 65

The possible lengths of TR has to be greater than 15 and less than 65, Hence: TR = 17, 40, 42, 52,

Answer:

1/2 rational exponent represents a square root.

Therefore, option A is correct.

Step-by-step explanation:

As we know that raising to the one-half power i.e. [tex]\frac{1}{2}[/tex] is the same

as taking the square root.

For example, taking the square root of 4 will determine:

[tex]4^{\frac{1}{2}}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:4=2^2[/tex]

[tex]4^{\frac{1}{2}}=\left(2^2\right)^{\frac{1}{2}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]

[tex]\left(2^2\right)^{\frac{1}{2}}=2^{2\cdot \frac{1}{2}}[/tex]

so the expression becomes

[tex]4^{\frac{1}{2}}=2^{2\cdot \:\frac{1}{2}}[/tex]

    [tex]=2^1[/tex]

    [tex]=2[/tex]         ∵ [tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]

so, 1/2 rational exponent represents a square root.

Therefore, option A is correct.

Answer: A.) 1/2 is the correct answer

Step-by-step explanation:

9514 1404 393

Answer:

  yes

Step-by-step explanation:

When distance and time are both zero at once, and speed is constant, then distance and time are proportional:

  distance = speed × time

The constant of proportionality is the (constant) speed.

Answer:

I hope it gets easier for you :)

Answer:

Step-by-step explanation:

3x + y + 72 = 180

3x + y = 108 .... (1)

2x + y = 90 ..... (2)

(1) - (2)

x = 18°

y = 54°

Answer:

Step-by-step explanation:

Pretty good, How about you

Answer: heyyyyy I’m going good

Answer:

31 Supreme tires were sold.

Step-by-step explanation:

Cost of one Supreme tire = $45

Cost of one Prestige tire = $56

Total sales = $2008

Let x represent quantity of supreme tyre

Let y represent quantity of Prestige tyre

So, the equation will be:

[tex]45x+56y=2008[/tex]

11 Prestige tires were sold, write and solve a linear equation to find the number of Supreme tires sold.

So, we are given y= 11 and we need to find value of x using above equation

[tex]45x+56y=2008\\45x+56(11)=2008\\45x+616=2008\\45x=2008-616\\45x=1392\\x=\frac{1392}{45}\\x=30.933\\ x\approx31[/tex]

So, 31 Supreme tires were sold.

Answer:

A. x²/y³

Step-by-step explanation:

Given the following data;

Length = x³y⁴

Width = [tex] xy^{7}[/tex]

Ratio = length/width

[tex] Ratio = \frac{x^{3}y^{4}}{xy{^7}}[/tex]

Simplifying the equation by applying the law of indices (division), we have;

[tex]\frac{x^{3}}{x} = x^{3} - x^{1} = x^{3-1} = x^{2} [/tex]

[tex]\frac{y^{4}}{y^{7}} = y^{4} - y^{7} = y^{4-7} = y^{-3} [/tex]

Hence, rearranging the above values;

[tex] Ratio = \frac{x^{2}}{y^{3}}[/tex]

Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³.

Answer:

D

Step-by-step explanation:

After you get the answer then you should feel in the d with the number. Example:

-20D=40

Divide both sides by -20

D=-2

So know you should fill in d

-20(-2)=40

40=40

True

Answer:  X=-4

Step-by-step explanation:

Answer:

4 3/10

Step-by-step explanation:

I hope this helps you out!

Answer:

the answer is 104/21  or 4 20/21

Step-by-step explanation:

Answer:

Answer is D 5x-y>= 1 :)

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

Answer:

the cuboid isint showing

Step-by-step explanation:

Answer:

D.) -14 + 2i and 10√2

Step-by-step explanation:

Got it right on Edge

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit. The correct option is D.

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.

To find the conjugate of a complex number, we change the sign of the complex part of the number. Therefore, the conjugate of -14-2i is -14+2i.

The modulus of the given complex number -14-2i is,

|z| = √[(-14)²+(-2)²]

    = √(196 + 4)

    = √200

    = 10√2

Hence, the conjugate and modulus of –14 – 2i are -14+2i and 10√2, respectively.

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Answer:

520

Step-by-step explanation:

Answer:

y = - 0.8

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when y = - 4, x = 10, then

- 4 = 10k ( divide both sides by 10 )

- 0.4 = k

y = - 0.4x ← equation of variation

When x = 2 , then

y = - 0.4 × 2 = - 0.8

Answer: X equals 11.

Step-by-step explanation:

2600 = 235x + 15

2585 = 235x (subtract 15)

11 = x (divide 2585 by 235)

Answer:

11

Step-by-step explanation:

Answer:

fifteen, "number sentence"

Step-by-step explanation:

5 + 5 +5 = 15