if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m

Answer:

I think it is greater because when you put the y alone it has the value of 1.

So, 9-y it will always be greater. It can be double and triple as well. I hope this helps you.

Step-by-step explanation:

Answer:

A+B+C+D = 13

Step-by-step explanation:

The given expression is:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}}[/tex]

We have to simply it and express it in the form of:

[tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

Multiply and divide the given expression with [tex]2-\sqrt 3[/tex]:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}} \times \dfrac{2-\sqrt 3}{2-\sqrt 3}\\\Rightarrow \dfrac{(1+\sqrt{2}) \times (2-\sqrt 3)}{(2+\sqrt{3})\times (2-\sqrt 3)}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{2^2-(\sqrt{3})^2}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{4-3}\\\Rightarrow \dfrac{2(1+\sqrt2)-(\sqrt3+\sqrt6)}{1}\\\Rightarrow 2(1+\sqrt2)-(\sqrt3+\sqrt6)[/tex]

It is the simplified form of given expression.

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

Comparing the simplified expression with [tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

[tex]2(1+\sqrt2)-(\sqrt3+\sqrt6)=A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})\\\Rightarrow A =2, B=2, C=3\ and\ D=6[/tex]

So, value of

[tex]A+B+C+D = 2+2+3+6 = 13[/tex]

Answer:

D

Step-by-step explanation:

I would say D because when a car is going from a slower road to a faster, more busy one (the highway) it has to increase its speed. But once it has increased its speed to match with the other cars, it will stay at the same pace.

Answer: (1, 0)

Step-by-step explanation:

Just plug in the coordinates for x and y to see if the final answer has x and y equivalent.

(0) = (1)^2 - 4(1) + 3

0 = 1 - 4 + 3

0 = -3 + 3

0 = 0

Answer:

(2, -1)

Step-by-step explanation:

Ap3x

Answer: 8 more girl toys than boy toys

Step-by-step explanation:

First you need to find out how many of the toys are for boys and girls.

———————————————

80 * 40 = 80 * 0.4 = 32

32 toys are for boys

———————————————

80 - 32 = 48

48 toys are for girls

———————————————

Now find 50% of the boy and girl toys.

32 * 50% = 32 * 0.5 = 16

48 * 50% = 48 * 0.5 = 24

———————————————

Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.

24 - 16 = 8

Answer:

15/28

Step-by-step explanation:

3 3/7 ÷ 6 2/5

Change to improper fractions

(7*3+3)/7 ÷ (5*6+2)/5

24/7 ÷32/5

Copy dot flip

24/7 * 5/32

Cancel an 8 from the numerator and denominator

3/7 * 5/4

15/28

Answer: 15/28

Explanation: First write each mixed number as an improper fraction.

As a quick review, to write a mixed number as an improper fraction,

we multiply the denominator times the whole number,

then we add the numerator.

First rewrite 3 and 3/7 as 24/7 and 6 and 2/5 as 32/5.

So we have 24/7 ÷ 32/5.

Dividing by a fraction is the same as multiplying by its reciprocal.

In other words, we can change the division

sign to multiplication and flip the second fraction.

So 24/7 ÷ 32/5 can be rewritten as 24/7 × 5/32.

Before multiplying, noice that the 24 and 32 cross-cancel to 3 and 4.

So we have 3/7 × 5/4 which is 15/28.

Answer:

20,951

Step-by-step explanation:

If the company sold 21,00 ovens and this year they sold 49 fewer, then that means we are being told to subtract 49 from 21,00 which is the initial value.

21,000-49 = 20,951

therefore, this year they sold 20,951 (twenty-thousand nine hundred fifty one) ovens.

Answer:

20,951 ovens

Step-by-step explanation:

Last year, the company sold 21,000 ovens. This year, they sold 49 fewer ovens that that.

Fewer, means less, or subtractions. Therefore; we must subtract 49 (the difference between this year and last year) from 21,000 (the number of ovens sold this year)

21,000-49

20,951

The company sold 20,951 ovens this year.

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete, I would explain how to calculate the value of Z

The z score is a measure in statistic used to determine the number of standard deviations by which the raw score if from the mean of a normal distribution. If the z score is positive then the raw score is above the mean while if a z score is negative the raw score is below the mean. The z score (z) is given by the formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that the mean (μ) = 20 and the standard deviation (σ) = 3. To calculate the z score for x = 30 it is given by:

[tex]z=\frac{x-\mu}{\sigma}=\frac{30-20}{3}=3.33[/tex]

Answer:

Correct option: 1) 2600

Step-by-step explanation:

The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Correct option: 1)

Answer:

1.) 2,600

Step-by-step explanation:

Answer:

[tex]5\%[/tex] loss.

Step-by-step explanation:

[tex]7600 \times (1+10\%)[/tex]

[tex]7600 \times 1.1=8360[/tex]

[tex]8000 \times (1+10\%)[/tex]

[tex]8000 \times 1.1=8800[/tex]

His loss is Rs 440.

[tex]\frac{440 \times 100}{8800}[/tex]

[tex]=5[/tex]

Answer:

Profit %age = 4.5 %

Step-by-step explanation:

Mr. Wilson bought the bike for = Rs 7,600

Profit %age = 10% of 7,600

Profit = [tex]\frac{10}{100}* 7600[/tex]

Profit = Rs 760

Amount in which the bike is sold = 7600 + 760 = Rs 8360

If Mr. Wilson had bought the bike for Rs. 8000 and sold it in the same amount,

So he would still be

having a profit of Rs. 360

How much Profit %age:

Profit % age = [tex]Profit * 100/CP[/tex]

Profit %age = 360 * 100 / 8000

Profit % age = 36,000 / 8000

Profit %age = 4.5 %

Answer:132

Step-by-step explanation:

Answer:

132°

Step-by-step explanation:

first find the interior angle of the triangle.

the interior angle of a triangle is 180°

90°+42°+y°=180°

132°+y°=180°

y°=180°-132°

y°=48°

(y° represents the empty part).

angle on a straight line is equal to 180°

y°+x°=180°

48°+x°=180°

x°=180°-48°

x°=132°

Answer:

1.777777778

Step-by-step explanation:

hope that helps!

Answer:

16/9 or 1 2/9

Step-by-step explanation:

the fraction bar means divison

Answer:

{3,4,5, 7,9, 10, 13, 17)

Step-by-step explanation:

A = {4, 7, 10, 13, 17)

B = (3, 5, 7, 9).

U means union or join together

A u B  means  {3,4,5, 7,9, 10, 13, 17)

Answer:

A u B is { 3 , 4 , 5 , 7 , 9 , 10 , 13 , 17 }

Hope this helps

Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

Answer:

its b

Step-by-step explanation:

i just did it

Answer:

30°

Step-by-step explanation:

1/3 × 90

Multiply.

90/3

Divide.

= 30

Answer:

30°

Step-by-step explanation:

Taking a third of 90° is like sharing 90 apples amongst three people.

In effect everyone would have,

[tex] \frac{1}{3} * 90 apples \\ \\ \frac{90}{3}apples \\ \\ 30 apples [/tex]

In the angular world, this problem could be likened to a trisection of 90°, giving you 30°.

Hope it helps!

Answer:

q = 7

Step-by-step explanation:

4q + 9 = 37

If a letter and a number are together it means multiply.

Substitute 7 into the equation:

4(7) + 9 = 37

28 + 9 = 37

So q must equal 7

Answer:

Option B is the right option.

Solution,

P(3)=0.15

P(Not a 3)=1-P(3)

=1-0.15

=0.85

Hope this helps...

Good luck on your assignment

Answer:

I think it's c im not to sure

Step-by-step explanation:

Answer:

X = (V / LJ)

Step-by-step explanation:

V = XLJ

Since you're isolating X, divide both sides by (LJ)

(V / LJ) = X

Answer:

x^2 + 2^3x + 1

Step-by-step explanation:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

In our example,

    Prime number 2 to the power of 3 equals 8 .

Answer:

Parallelogram

Step-by-step explanation:

When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.

PLZ MARK BRAINLIEST!!!

Answer:

32%

Step-by-step explanation:

Got it right on the quiz.

Pls give me brainliest

Answer:

32%

Step-by-step explanation:

Answer: $106,700

Step-by-step explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.

Answer:

3.5 times 10^7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.5×10^7

Hope this helps :P

Answer:

3.5 × 10^7

Step-by-step explanation:

Put the decimal point after 3.

Count how many decimal places will be needed to move to the right.

10 million has 7 zeros.

Answer:

D. x = +/-sqrt(y - 11)

Step-by-step explanation:

y = x^2 + 11

x^2 + 11 = y

x^2 = y - 11

x = +/-sqrt(y - 11)

Answer:

X = 6 2/3

Step-by-step explanation:

Steps are in the photo above

Answer:

16/3

Step-by-step explanation:

Begin the solution of 7+x-15=-2 2/3 by combining 7 and -15:  

                                       x - 8 = -8/3, which is equivalent to x = 24/3 - 8/3  

                                                                                   or:          x = 16/3

Answer:

Option A.

Step-by-step explanation:

The general form of a quadratic function is  

[tex]y=ax^2+bx+c[/tex]

It means, power of y should be 1 and highest power of x should be 2.

In option A,

[tex]y-3x^2=3(x^2+5)+1[/tex]

[tex]y-3x^2=3x^2+15+1[/tex]

[tex]y=3x^2+16+3x^2[/tex]

[tex]y=6x^2+16[/tex]

It is a quadratic function.

In option B,

[tex]y^2-7x=2(x^2+6)+7[/tex]

Here, power of y is 2. So, it is not be a quadratic function.

In option C,

[tex]y-2x^2=6(x^3+5)[/tex]

Here, highest power of x is 3. So, it is not be a quadratic function.

In option D,

[tex]y-5x=4(x+5)+9[/tex]

Here, highest power of x is 1. So, it is not be a quadratic function.

Therefore, the correct option is A.

Answer:

It is A

Step-by-step explanation: I took the test on edge 2020

Answer:

Quadrilateral

Step-by-step explanation:

In the sandbox, opposite sides are equal.

However, using Pythagoras Theorem

[tex]14^2\neq 12^2+8^2\\196 \neq 208[/tex]

Therefore, the sandbox cannot be a rectangle since if it were, each triangle must be a right triangle.

In the triangle

Since [tex]198<208[/tex], Angles C and X are acute angles.

Therefore, the sandbox does not satisfy the properties of any known quadrilateral. It is simply a quadrilateral-shaped sandbox.