Explain how to estimate the quotient using compatible numbers.

27 2/3 divided by 3 9/10

Answer:

Solution in photo

Step-by-step explanation:

Answer:

F(2)=3

Step-by-step explanation:

Answer: B. 8n^18

Step-by-step explanation:

From the question, we are informed that the area of a square is 64n^36. The length of one side of the square would be calculated as the square root of the value given. This will be:

= ✓64n^36

= ✓64 × ✓n^36

= 8 × (n^36 × 1/2)

= 8 × n^18

= 8n^18

Therefore, the correct option is B.

Answer:

B. -2

Step-by-step explanation:

A relation that is not a function would have one x-value having two different corresponding y-values.

If we choose -2 to represent b I the relation, the relation would not be a function. This is because, we there would be two different y-values, 8 and 1, that are assigned to one x-value, which is -2 ==> (-2, 8) and (-2, 1).

Answer:

x=24 or x= −24

Step-by-step explanation:

Step 1: Take square root.

x = ± √576

x=24 or x= −24

Answer:

sum of interior angle of polygon = (2N-4) X 90 where N =number of sides

so (2N-4)x90=1980

therefore N=13.

therefore polygon has 13 sides

Answer:

To know how many sides has this polygon, knowing the sum of their interior angles, we can use this expression:

b = (n-2) * 180

Where b is the sum of the interior numbers and n the number of sides.

Knowing this, we can replace, as we kno w it

b = (n-2)) * 180

1980 = (n-2)*180

We can know solve the equation

We can use this distributive property to operate the parenthesis, which says that if we find this expression a(b+c), we can operate doing ab+ac, and, if we substract, we can also use it, as a(b-c) = ab-ac

1980 = (n-2)*180

1980 = 180n - 180*2 = 180n - 360

1980 = 180n - 360

1980 + 360 = 180n

[tex]\frac{1980+360}{180} = n.[/tex]

13 = n

So we know the polygon will have 13 sides..

Answer: There were 741 books in the library a year later.

Step-by-step explanation:

Given: Total books in library = 570

Number of books increased by 30%.

One year later, Number of books in the library = (Total books in library) + 30% x (Total books in library)

= 570 + (0.30) x (570)

= 570 (1+0.30)

= 570 (1.30)

= 741

Hence, there were 741 books in the library a year later.

Answer:

168

Step-by-step explanation:

Answer:

$15 dependant variable, month is the independent variable

Answer:

1) y = (x-3)²-12

2) y = 5(x-2)²-9

Step-by-step explanation:

Given the quadratic expressions

y=x²-6x-3

We are to transform it in the form y=ax²+bx+c

y=(x²-6x)-3

Complete the square of the expression in parenthesis

y = (x²-6x + (6/2)² - (6/2)²)-3

y = (x²-6x+3²-3²)-3

y = (x²-6x+9-9)-3

y = (x²-6x+9)-12

y = (x²-3x-3x+9)-12

y = x(x-3)-3(x-3)-12

y = (x-3)(x-3)-12

y = (x-3)²-12

Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12

For the quadratic equation

y=(5x²-20x)-5

y = 5(x²-4x)- 5

Complete the square of the expression in parenthesis

y = 5(x²-4x+4-4)- 5

y = 5(x²-4x+4)-9

y = 5(x-2)²-9

Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9

Answer: 11am

Step-by-step explanation:

To solve this, we have to calculate the lowest common multiple of 20 and 30. This will be:

20 = 20, 40, 60, 80, 100

30 = 30, 60, 90, 120, 150.

Here, the lowest common multiple is 60.

Therefore, we add 60 minutes to 10am. This will be:

= 10am + 1 hour

= 11 am

The next time that both buses leave at the same time would be 11am

Answer:

The number of different ways the car can be built is 31 different ways

Step-by-step explanation:

The given options are'

1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera

Therefore, the number of different ways the car can be built, n, is given as follows;

n = ₅C₁  + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅

n = 5 + 10 + 10 + 5 + 1 = 31 different ways

The number of different ways the car can be built = n = 31 different ways

Answer:

a. Yes. The difference is common and equal to $1750

b. $1750

c. $20000 was initial investment

d. This is linear equation with start point of 20000 and slope of 1750:

e. After another 10 years (on the top of 5 given) the investment will be:

f. After 20 years the value of investment will be:

Answer:

Total different numbers = 400

Step-by-step explanation:

Assume;

Smallest number bigger than 7999( multiple of 5) = 8,000

largest 4 digit number multiple of 5) = 9,995

Computation:

a = 8,000

d = 5

an = 9,995

an = a + (n-1)d

9,995 = 8,000 + (n-1)5

1,995 = (n-1)5

399 = n-1

n = 400

Total different numbers = 400

Answer:

2

Step-by-step explanation:

substitute x=0 and find y

Answer:

5/13

Step-by-step explanation:

by using SO TO CA

H A H

sin can be obtained

Answer:

1 ounce package of cereal will cost 4÷16=$0.25. $1 = 100 cents. $0.25=0.25x100= 25 cents. Unit cost of package is 25 cents.

Step-by-step explanation:

Answer:

first answer.

Step-by-step explanation:

Answer:

400 words in 10 minutes

Step-by-step explanation:

If you divide 280 by 7, you get 40. That means she can type 40 words per minute. 40 times 10 equals 400.

Answer:

The answer is c i guess.

Answer:

C) y=-1/2x+3

Step-by-step explanation:

y=mx+b.  

m is the slope

b is the y-intercept

so the answer is C

y=-1/2x+3

Answer = 33.75%

Step-by-step explanation: It might be intuitive to think of percentages as a part of 100. If only 75 percent of 100 applicants are accepted. Then 75 people are accepted. We now need to find 45 percent of 75 people. In order to do this we need to convert 45 percent into its decimal form and multiply it by 75.

.45*75 = 33.75 of the original 100 Applicants have enrolled.

Answer:

Step-by-step explanation:

5 miles = 8 km

Then:

Then 27.4 miles is:

Answer:

(4, 3)

Step-by-step explanation:

If a point O(x, y) divides a line segment AB with end points at A([tex]x_1,y_1[/tex]) and      B([tex]x_2,y_2[/tex]) in the ratio of n:m, then the location of O is at:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

Given that Nates house is located at (-2,4) while the park is located at (10,2). Macs house if it is 1/2 of the distance from Nates house to the park (that is in the ratio of 1:1). Let (x, y) be the coordinate of Macs house, therefore:

[tex]x=\frac{1}{2}(10-(-2))+(-2)=\frac{1}{2}(12)-2=6-2\\\\x= 4\\\\y=\frac{1}{2}(2-4) +4=\frac{1}{2}(-2)+4\\\\y=3[/tex]

The location of Macs house is (4, 3)