how to change 35/21 into its mixed fraction

Answers

Answer 1

Answer:

[tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

INFORMATION/REMINDS ALREADY KNOWN:

Numerator. This is the number above the fraction line. For 35/21, the numerator is 35.Denominator. This is the number below the fraction line. For 35/21, the denominator is 21.Improper fraction. This is a fraction where the numerator is greater than the denominator.Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.Step 1: Find the whole number

We need to find the whole number first, which we accomplish by dividing the numerator by the denominator. We ignore any digits to the right of the decimal point since we are only interested in whole numbers.

[tex]35/21= 1.6666666666667 = 1[/tex]

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

We'll use the whole number we calculated in step one (1) and multiply it by the original denominator to figure this out (21). The numerator is then subtracted from the result of that multiplication:

[tex]35 - (21 * 1) = 14[/tex]

Step 3: Our mixed fraction

We've now simplified 35/21 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

[tex]1\frac{14}{21}[/tex]

Step 4: Simplifying our fraction

Our fraction (14/21) can be simplified even more in this example. To do so, we must determine the GCF (greatest common factor) of those two numbers. If you want to do it yourself, you can use our handy GCF calculator. We've done it earlier, and the GCF of 14 and 21 equals 7.

We can now divide both the new numerator and the denominator by 7 to simplify this fraction down to its lowest terms.

[tex]\frac{14}{7} = 2\\\frac{21}{7} = 3[/tex]

When we put that together, we can see that our complete answer is:\

[tex]1\frac{2}{3}[/tex]


Related Questions

I need help ASAP to find the solution

Answers

Answer:

(1,-1)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

help me as soon as possible due in 20 minutes

Answers

x+6 + x+10 = 2x + 16,,, 2x + 16 = 30, 30 - 16, 14 = 2x,,,14/2 =x,,, x = 7,

DE =13

linear equations and inequalities​

Answers

Answer: the question wasn't clear hence just  defined the meaning to it

Step-by-step explanation:

A linear inequality resembles in form an equation, but with the equal sign replaced by an inequality symbol. The solution of a linear inequality is generally a range of values, rather than one specific value. Such inequalities arise naturally in problems involving words such as 'at least' or 'at most'.

factor the polynomial below completely
**21* 3x+6
O A. (X+3)(x+3)
O B. (X2 + 2)(x+3)
O c. (+2)(x+2)
O D. (x2+3)(x + 2)

Answers

i believe the answer is c

Hurry please!
What is the slope of a line parallel to the line whose equation is x + 2y = -14.
Fully simplify your answer.

Answers

Answer:

Slope of the line x +2y =14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7.

Step-by-step explanation:

Answer:

2 Answers By Expert Tutors. Slope of the line x + 2y = 14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7. Now, the slope of the line perpendicular to this equation will be m_1 = -1/m = -1/ (-1/2) = 2.

Step-by-step explanation:

need help Asapppp please i can’t figure it out or find answers. i will mark as the brainliest please

Answers

Answer:

sorry this is wrong. the wright answer is y = -4x+3

Step-by-step explanation:

please answer quickly ​

Answers

Answer:

Given,

Area of the Square = ( x² - 10x + 25 ) m²

We have to find: Length of the side of the square.

Let s be the side of square.

We find length of side of the by using factorization.

According to the question,

s² = x² - 10x + 25

s² = x² - 5x - 5x + 25

s² = x( x - 5 ) - 5( x - 5 )

s² = ( x - 5 )( x - 5 )

s² = ( x - 5 )²

Taking square root on both sides we get,

s = x - 5

Therefore, Expression that represents the length of one side of the square is x - 5.

Step-by-step explanation:

Solve the system of equations using subtraction.
2x−4y=−4
2x+ y =11

Answers

2x-4y=-4 —> x=-2 y=1
2x +y=11 —> x= 5.5 y=11

Answer:

(4, 3 )

Step-by-step explanation:

2x - 4y = - 4 → (1)

2x + y = 11 → (2)

subtract (2) from (1) term by term to eliminate x

(2x - 2x) + (- 4y - y) = - 4 - 11

0 - 5y = - 15

- 5y = - 15 ( divide both sides by - 5 )

y = 3

substitute y = 3 into either of the 2 equations and solve for x

substituting into (2)

2x + 3 = 11 ( subtract 3 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

solution is (4, 3 )

2 2/3 x64 come on i give you lot of points

Answers

Answer:

170 2/3

Step-by-step explanation:

2 2/3 x 64 is the same thing as:

[tex]\frac{8}{3}[/tex] × [tex]\frac{64}{1}[/tex] = ?

Multiply across.

8 x 64 = 512

3 x 1 = 3

Simplify the fraction.

512/3 = 170 2/3

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Click and place the appropriate equivalent forms of the numbers shown.​

Answers

Step-by-step explanation:

64% = 64/100 = 16/25 = 0.64

1/8 = 0.125 = 12.5%

1.4 = 140% = 140/100 = 100/100 + 40/100 = 1 2/5

2 3/4 = 2.75 = 275%

8% = 8/100 = 2/25 = 0.08

A point on the unit circle has negative x value and a positive y value, select all the possible reference angles it
could come from.
.60
.300
.135
.225
.270
.150

Answers

Considering the points on the unit circle, it is found that the angle is on the second quadrant, hence the possible angles are between 90º and 180º.

What is the unit circle?

For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].

In this problem, we have a negative cosine and a positive sine, hence it is an angle on the second quadrant, which can be values between 90º and 180º.

More can be learned about the unit circle at https://brainly.com/question/16852127

Type the correct answer in each box. Use numerals instead of words.
Amanda is placing an order for running shoes and leather boots for her footwear b
many pairs of running shoes as leather boots.
Set up the squations that can be used to find the number of each type of shoe
• the equation that represents the total number of pairs of shoes be referre
. Let constraint 2 refer to the equation that describes the ratio of the number of
Only constraint
would be met if 18 pairs of leather boots and 36 pairs of run
Only constraint
would be met if 12 nairo

Answers

Answer:

see below

Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.

Amanda is placing an order for running shoes and leather boots for her footwear b

many pairs of running shoes as leather boots.

Set up the squations that can be used to find the number of each type of shoe

• the equation that represents the total number of pairs of shoes be referre

. Let constraint 2 refer to the equation that describes the ratio of the number of

Only constraint

would be met if 18 pairs of leather boots and 36 pairs of run

Only constraint

would be met if 12 nairo

Help please I don't know

Answers

Alright let's do this...

1. Five is less than a number and one = C.

2. Three times a number and five = F.

3. Five less than the sum of a number and two = B.

4. Two less than a number times two = A.

write an inequality for the situation below: Bring at least $7.50 to see the play.

Answers

P (greater than or equal to symbol) 7.50

A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents height above the ground. At what time is the projectile on the ground? – 80. 4 seconds 2 seconds 4. 6 seconds It will never hit the ground.

Answers

Answer: 2 seconds

Step-by-step explanation:

got it right

What is the value of x in the figure below?

Answers

Answer:

9

Step-by-step explanation:

3x+8 = 35

3x = 27

x = 9

Hope this helps :)

x = 9

Step-by-step explanation:

Here, (3x + 8)° and 35° are vertically opposite angles which are equal, therefore,

3x + 8 = 35

3x = 35 - 8

3x = 27

x = 27/3

x = 9

Hope it helps you!!

the measure of one interior angle of a triangle is 45°. What can you conclude about the other two interior angles of the triangle?
One of the other angles must be a right angle.
The sum of the measures of the other two angles is 135°.
The other two angles must be acute angles.
One of the other angles must have a measure greater than 90°.

Answers

Answer:

The sum of the measures of the other two angles is 135°.

Step-by-step explanation:

The sum of the interior angles of a triangle will add up to 180°. So by subtracting 45° from 180°, the other two angles have to add up to 135°.

Answer:

The sum of the measures of the other two angles is 135° or b

Step-by-step explanation:

Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the fence?

35 ft
70 ft
68 ft
300 ft

Answers

Answer:

70 ft

step-by-step explanation:

perimeter of rectangle = 2 ( length + width )

2(20+15)

2(35)

70

Answer:

Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the feet

-----------------------------------------------------------

answer - ----

length = 20

width = 15

perimeter of rectangle is 2 (l+b)

2( 20 + 15 )

= 70 feet answer

PLEASE HELP
what is the coefficient in the expression below 2x-8​

Answers

Answer:

2x - 8

Parts of an equation:

2 - coefficient

x - variable

8 - constant

The number 2 is not a coefficient in the expression. FALSE.

The expression has three terms. FALSE. two terms only: 2x & 8

The variable in the expression is x. TRUE

The number 2 is a constant in the expression. FALSE

The expression has one variable term. FALSE. 2x is term but it's a combination of a number and a letter. Variable term is letter only.

Hello.

The coefficient is the number before a variable (letter)

The constant is also a number.

What's the difference between a constant and a coefficient?

Well, a coefficient is always before a variable, and a constant is just a number (without any variables next to it)

In this case, the variable is x, the number before x is 2, and 8 is the constant.

Therefore, 2 is the coefficient in this expression.

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Dalton and Connor each invest money. The function f(x) = 850(1.07)x models the value of Dalton’s account after x years. The function g(x) = 844(1.06)x models the value of Connor’s account after x years. What is the difference between the percentage points of the two annual interest rates?
A. 7%
B. 1%
C. 6%
D. 4%

Answers

The answer to the question is A. 7%.
The answer to this is A 7%

In the function f(x) = 3x + 2, f(5) = ________.

Answers

Answer:

17

Step-by-step explanation:

In this function, x = 5, so replace the x with 5 in the equation, multiply by 3, add 2, and 17 is the answer.

Answer:

[tex]f(x)=17[/tex]

Step-by-step explanation:

[tex]f\left(x\right)\:=\:3x\:+\:2;\:f\left(5\right)[/tex]

For f(x)=3x+2, substitute x with 5

[tex]f(x)=3(5)+2[/tex]

[tex]f(x)=17[/tex]

~

What will be the total cost of Maria's ARM if the term of the loan were 25 or 20 years instead of 30? Use the variable rate loan calculator to find the answers. Write them in the spaces below.

Mortgage Term | Total Cost
25 years: |
20 years: |​

Answers

Answer:

The total cost of the loan goes down as the term decreases. Although the amount of the loan itself remains the same, the total amount of interest Maria would have to pay in interest decreased when the term of the loan decreased. However, the monthly payments increased when the term decreased. So, a shorter term saves interest but requires greater monthly payments.

Step-by-step explanation:

4 1/6 + 5 2/3Enter your answer as a mixed number in simplest form

Answers

Answer:

Step-by-step explanation:

First, change the mixed numbers into improper fractions:

5 2/3 = 17/3

Then, find the common denominator:

41/6 + 17/3=

LCM = 6

17/3 *2 = 34/6

41/6 + 34/6

Last, Add

25/6  or

12 1/2

Hope this helps!

mark brainliest if possible!

Answer and get Brainliest <3

Answers

Answer:

width = 9/2 inches, length = 18 inches

Step-by-step explanation:

Step-by-step explanation:

l = length

w = width

l×w = 81 in²

l = 2w + 9

we can use the identity of the second equation in the first equation :

(2w + 9)×w = 81

2w² + 9w = 81

2w² + 9w - 81 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 2

b = 9

c = -81

w = (-9 ± sqrt(9² - 4×2×-81))/(2×2) =

= (-9 ± sqrt(81 + 648))/4 =

= (-9 ± sqrt(729))/4 = (-9 ± 27)/4

w1 = (-9 + 27)/4 = 18/4 = 9/2 in

w2 = (-9 - 27)/4 = -36/4 = -9

a negative solution for a side length does not make any sense, so, width = 9/2 in is the only valid solution.

l = 2w + 9 = 2×9/2 + 9 = 9+9 = 18 in

so, the last answer option is correct.

x+8=6 solve each equation ​

Answers

Answer:

=> x = -2

Step-by-step explanation:

=> x+8=6

=> x = 6-8

=> x = -2

Answer:

-2

Step-by-step explanation:

x= negative 2

-2 + 1= -1

-2 + 2=0

-2 + 3=1

-2 + 4=2

-2+ 5=3

-2 +6=4

-2 + 7=5

-2 +8=6 so this problem is x + 8 and the x= - 2 so your answer is -2 + 8=6

Hope it helps have a great day:)

How many pennies are on the nth square? 2n 2n – 1 2n 1 2n – 1 2n 1

Answers

The number of pennies is on the [tex]\rm n^t^h[/tex]square is  [tex]\rm 2^n^-^1[/tex].

I am assuming the:

1 penny = [tex]2^0[/tex]

2 pennies = [tex]2^1[/tex]

3 pennies = [tex]2^2[/tex]

and so on.

It is required to find how many pennies are on the [tex]\rm n^t^h[/tex]  square.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

1 penny = [tex]2^0[/tex]

2 pennies = [tex]2^1[/tex]

3 pennies = [tex]2^2[/tex]

If we observe the pattern, we see it on the  [tex]\rm n^t^h[/tex]  square the number of pennies will be [tex]\rm 2^n^-^1[/tex]

[tex]\rm n^t^h= 2^n^-^1[/tex]

Thus, the number of pennies is on the [tex]\rm n^t^h[/tex]square is  [tex]\rm 2^n^-^1[/tex].

Learn more about the sequence here:

https://brainly.com/question/21961097

Solve for the value of r.
(6r-7)
55°

Answers

Answer:

r=7

Step-by-step explanation:

6r-7+90+55=180

6r+138=180 ----- 6r=180-138

6r=42 ----- divide both sides by 6

r=7

(We get the 90 from the 90degrees in the middle of this supplementary angle and the total, 180, from the straight angle made from all three angles.)

hope this helps!

You will purchase some CDs and DVDs. If you purchase 9 CDs and 8 DVDs, it will cost you $95.35, if you purchase 8 CDs and 9 DVDs, it will cost you $101.00. Write and solve a system of equations to answer the following questions.
Each CD costs ____ and each DVD costs____

Answers

Answer:

Dvd= $8.6

Cd= $2.95

Step-by-step explanation:

b/4 < 4 im trying to figure it

Answers

Answer:

b<16

Step-by-step explanation:

b/4<4. Multiply 4 on both sides. b has to be less than 16.

Using a ruler and a compass, construct the triangle FGH with FG = 7.5cm, angle FGH = 120° and angle GFH = 30°

Answers

Answer:

(1, –1), (4, –16), (5, –25) i think

Step-by-step explanation:

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