MATHEMATICS HIGH SCHOOL

Divide the fractions and simplify the answer 60 / 2 2/3

Answers

Answer 1
Answer: 2 2/3 as a decimal is 2.66666667. 60 divided by 2.66666667 is 22.5.
As a fraction, the answer will be 22 5/10

Please mark my answer as the brainliest answer, I'd really appreciate it, thanks!
Answer 2
Answer: Hey there, make 60 a fraction, 60=60/1, 2 2/3 as an improper fraction is 8/3. Now, we have 60/1÷8/3, change the ÷ sign into a × sign. Flip 8/3 into 3/8, now we have 60/1×3/8. 60×3=180 and 1×8=8. Now, we have a fraction of 180/8. Then, we simplify 180/8. The GCF of 180 and 8 is 4 so we divide by 4, 180÷4=45 and 8÷4=2, So, 180/8 simplified is 45/2, 45 is bigger than 2 so we make 45/2 as a mixed number, 45/2 as a mixed number is 22 1/2. Therefore, 60 ÷ 2 2/3 = 22 1/2

Related Questions

Which of the following points lies on the circle whose center is at the origin and whose radius is 10?(-6, 4) (square root of 10, square root of 10) (6, -8)
1. f(x) = x + 5, f(x) = 9
there are 6 girls and 7 boys in a class. a team of 10 players is to be selected from the class. what is the pribability that a randomly chosen team includes 4 or 6 boys? a: 0.12 b: 0.37 c: 0.49 d: 0.75
What is the transformation that occurs to the equation y = 2^x if it changes to y = 2^(x - 8)?The graph moves 8 units to the right.The graph moves 8 units to the left.The graph moves 8 units up.The graph moves 8 units down.
What is the area of the polygon below?​

Solve using logs 5^(3x-6)=125

Answers

5 ^(3x-6) =125 \n \n 5 ^(3x-6) =5^3 \n \n3x-6 =3 \ \ |+6 \n \n3x=3+9 \n \n3x=12 \ \ /:3 \n \nx=(12)/(3) \n \nx= 3

Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.The function is exponential.

The initial value of the function is 2.5.

The function increases by a factor of 2.5 for each unit increase in x.

The domain of the function is all real numbers.

The range of the function is all real numbers greater than 3.

Answers

The statements which are true of the function; f(x) = 3(2.5)^x and there explanations are below;

  1. The function is exponential;Traditional to every exponential function is that the independent variable is usually an exponent of a constant. Hence, we can conclude the function is an exponential function.
  2. Yes,the function increases by a factor of 2.5 for each unit increase in x. Hence, the slope of the function is; 2.5.
  3. The domainof the function is all real number, because, the value of y is defined for all real number values of x.

Read more on exponential functions;

brainly.com/question/2456547

This is an exponential function since the x is in the exponent's place instead of in the place of a "regular" variable. The first statement is true.

The initial value of this particular function is 3 (the other number is the multiplier), so choice 2 is NOT true.

The function increases by its multiplier, which is 2.5, so statement 3 is true.

The equation allows us to enter any x value we want to determine the y, so the domain is in fact all real numbers. So, this statement is also true.

If you were to graph this on a calculator, you would see that the range, the "allowed" y values for our function, do not touch or ever drop below the x-axis. That means that the range is all numbers greater than 0. So that statement is false. No matter what value we pick for x, we will NEVER get back a negative y value or that y = 0. For example, if x = 0, y = 3; if x = -5, y = .03; if x = -10, y = .0003; if x = 5, y = 292.97; if x = -100, y = 4.8208*88888810^(-40). Y will never be equal to 0 or less than 0.

A kids’ movie ticket costs $5.25.Type your answers in the boxes below.

a. One day, 200 kids’ tickets were purchased. What was the total cost of those tickets?

----------------- answer

Answers

Answer:

$1,050

Step-by-step explanation:

Simply multiply the cost per kid ticket and number of kids:

$5.25 x 200 = $1,050

Cual es la temperatura del jueves 9 de julio de 2015 a las 10 hs en el calafate?​

Answers

Answer:

the answer is so easy.

Step-by-step explanation:

Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, how far did she ride in 15 minutes? How long did it take her to ride 6 miles? How fast did she ride in miles per hour?

Answers

Hey there! :)

Answer:

First part: 2 miles.

Second part: 45 minutes

Third part: 8 mph.

Step-by-step explanation:

We can divide this question into 3 parts.

Begin by solving for the distance traveled after 15 minutes by creating a ratio:

(20 mi)/(150min) = (x)/(15 min)

Cross multiply:

20 · 15 = 150 · x

300 = 150x

300/150 = 150x/150

x = 2 miles.

2nd part: How long it took her to ride 6 miles.

Set up another ratio similar to the one used before:

(20 mi)/(150min) = (6mi)/(x min)

Cross multiply:

20 · x = 6 · 150

20x = 900

20x/20 = 900/20

x = 45 minutes.

3rd part:

For this part, we will need to convert from minutes to hours.

(20 mi)/(150 min)* (60 min)/(1 hr) = (1200mi)/(150hr) = 8 mi/h

Therefore, her speed is 8 mph.

Arrange the parabolas represented by the equations in increasing order with respect to the y-values of their directrixes.1: y = -x2 + 3x + 8
2: y = 2x2 + 15x + 18
3: y = -x2 + 7x + 14
4: y = -2x2 + 9x + 7
5: y = x2 + 13x + 5
6: y = -x2 + 8x + 5
7: y = -2x2 + 4x + 8

Answers

(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k

nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix

I will only convert the 1st one fully, you should be able to do the rest

1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
 (-1.5)^2=2.25
-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)

k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5

basically completee the square with x and find P by force factoring a 4 out

2.  directix: y=-1.75

3. directix: y=1.5

4. directix: y=17.25

5. d: -37.5

6. d: 9.25

7. d=2.625

order them yourself
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