What is 5/3 as a whole number

Answers

Answer 1

Answer:

1 and 2/3

Step-by-step explanation:

Answer 2

The fraction 5/3 can be expressed as the mixed number 1 2/3.

The fraction 5/3 cannot be expressed as a whole number because it is an improper fraction. An improper fraction has a numerator that is greater than or equal to the denominator.

To convert the improper fraction 5/3 into a mixed number (a whole number plus a proper fraction), we divide the numerator (5) by the denominator (3):

5 ÷ 3 = 1 remainder 2

The result tells us that 5 divided by 3 equals 1, with a remainder of 2.

Therefore, the fraction 5/3 can be expressed as the mixed number 1 2/3.

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Related Questions

Find the equation of the line specified.
The slope is 7, and it passes through ( 8, 6).

Answers

Answer:

The answer is A

Step-by-step explanation:

Given that the equation of line is y = mx + c and the slope is 7 :

y = 7x + c

By substituting the coordinate(8,6) into the equation, in order to find the value of c:

6 = 7(8) + c

6 = 56 + c

c = 6 - 56

= -50

y = 7x - 50

(Hope this can help)

what addition does the model below represent?

Answers

Answer:

It's the 5+(-3)

Step-by-step explanation:

Factor the expression completely. 9x+6

Answers

Answer:

3(3x+2)

Step-by-step explanation:

Answer:

3(3x+2)

Step-by-step explanation:

take out LCF of 3

What is y +4= -6(2 + 6) written in standard form?

Answers

Answer:

y = -52

Step-by-step explanation:

Step 1:  Convert to Standard Form

y + 4 = -6(2 + 6)

y + 4 = -12 - 36

y + 4 - 4 = -48 - 4

y = -52

Answer: y = -52

Y = -52 hope this helps

PLEASE ANSWER ASAP!!!
Prove the divisibility of the following numbers: 5^5−5^4+5^3 by 7

Answers

Answer:

Step-by-step explanation:

[tex]5^5-5^4+5^3 \: \: \:by \:\:\:\:7\\common factor\\\\\frac{5^5-5^4+5^3}{7}\\\\\frac{5^3(5^2-5+1)}{7}\\\\\frac{5^3(5^2-4)}{7}\\\\\frac{5^3(25-4)}{7}\\\\\frac{5^3(21)}{7}\\ \\Simplify\\\\5^3(3)\\[/tex]

What is the value of y for the linear equation,
x + x = 2x - 4y +16

Answers

Isolate the variable by dividing each side by factors that do not contain the variable.
2x=2x-4y+16
2x-16=2x-4y
-4y would have to equal -16
Therefore Y=4
x+x=2x-4y+16
2x=2x-4y+16
-16 -16
2x-16=2x-4y
-2x -2x
-16=-4y
/-4 /-4
4=y


y=4.

12x + 34y = -2
2x + 3y = -8
What is x?

Answers

The answer is X,Y = 113/16; 23/8

Find x, the missing side length of the right triangle. can anybody help

Answers

Answer:

16.64 units

Step-by-step explanation:

Use Pythagorean Theorem:

a^2+b^2=c^2

14^2+9^2=x^2

196+81=x^2

277=x^2

16.64=x

So the length is about 16.64 units

What is at answer for this addition problem 3/2+4/5=

Answers

Answer:2 3/10

Step-by-step explanation:

2 3/10 is the answer

If T=[23 -38]
[17 -6 ]
then what is –10(T)?
PLEASE HELP

Answers

Answer:

B

Step-by-step explanation:

Multiply each term by -10

The matrix in Option B is the value of the given expression.

What is a matrix?

'In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.'

According to the given problem,

Given matrix = [tex]\left[\begin{array}{ccc}23&-38\\17&-6\\\end{array}\right] \left[/tex]

On multiplying -10 with this,

Matrix = [tex]\left[\begin{array}{ccc}(23*(-10))&(-38*(-10))\\(17*(-10))&(-6*(-10))\\\end{array}\right][/tex]

          = [tex]\left[\begin{array}{ccc}-230&380\\-170&60\\\end{array}\right][/tex]

Hence, we can conclude the matrix  [tex]\left[\begin{array}{ccc}-230&380\\-170&60\\\end{array}\right][/tex]  after multiplying -10 to    [tex]\left[\begin{array}{ccc}23&-38\\17&-6\\\end{array}\right] \left[/tex].

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The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day. Write the cost of renting the car as a function of the number of days rented. Use your function to find how much it would cost to keep the car for a week

Answers

Answer:

$339.00 for a week

Step-by-step explanation:

Step 1:  Convert words into an expression

The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day.

f(d) = 45 + 42d

Step 2:  Find the cost for a week/7 days

f(7) = 45 + 42(7)

f(7) = 45 + 294

f(7) = 339

Answer:  $339.00 for a week

factor completely (x^2-4)(x^2+6x+9)

Answers

Answer:

[tex](x-2)(x+2)\left(x+3\right)^2[/tex]  is the required factor form.

Step-by-step explanation:

When the factor of the expression is required to be found, then take the common terms, or find the factor by splitting the terms, or by using the standard formulas.

So here we have to find the factor of the expression:

[tex](x^2-4)(x^2+6x+9)\\[/tex]

so we will first find the factors of:

[tex](x^2-4)=(x-2)(x+2)~~~~~~~~~~~~~~~~~\because x^2-y^2=\left(x+y\right)\left(x-y\right)\\[/tex]

Now the factors of:

[tex](x^2+6x+9)=\left(x+3\right)^2~~~~~~~~~\because \left(a+b\right)^2=a^2+2ab+b^2[/tex]

So the final factor is given as:

[tex](x^2-4)(x^2+6x+9)\\=(x-2)(x+2)\left(x+3\right)^2[/tex]

Which net represents this solid figure?



Rectangular prism 6.


Net of a cube 5.




Net of a cube 6.


Net of a rectangular prism. Two rectangles have a width of eight units and a height of four units. Two rectangles have a width of eight units and a height of three units. Two rectangles on the left and right have a width of four units and a height of three units.




Net of a rectangular prism 12.










































Answers

Final answer:

The net represents a rectangular prism with two rectangles of 4x8 units, two rectangles of 8x3 units, and two rectangles of 4x3 units. The net of a cube doesn't match these dimensions, as it has equal sides. The 6 and 12 rectangular prisms do not match, unless they can confirm to these specific dimensions.

Explanation:

The question is asking to identify which net corresponds to a specified rectangular prism with given dimensions. A net in mathematics refers to a pattern that you can cut and fold to make a model of a solid shape. A net of a rectangular prism consists of six rectangles of two pairs with equal dimensions - however, within each pair, the two rectangles may not be identical in dimensions to the other pair.

For this case, the rectangular prism described will have two rectangles with a height of 4 units and a width of 8 units, two rectangles with a width of 8 units and a height of 3 units, and two rectangles with a width of 4 units and a height of 3 units.

Thus, the correct net for this rectangular prism is the one with these described dimensions. We can eliminate the net of a cube options as those will have equal sides on all faces, which this prism does not have. The rectangular prism 12, 6, unless they match the above dimensions, also will not be the correct answer.

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Ona piece of paper usa protracter to construct right trangle ABC with AB = 4in. , m∠A90°, and m∠B= 45°
What statement is true about the triangle?

AC = 2 in.

BC = 8 in.

AC = 4 in.

BC = 4 in.

Answers

Answer:

AC = 4 in.

Step-by-step explanation:

Since m∠A = 90° and m∠B = 45°, you know that m∠C = 45° ( because you can tell it's an isosceles right triangle ).

This means that legs AB and AC both have to be congruent.

If leg AB is 4 in, then leg AC is 4 in.

I NEED HELP ASAP URGENT PLEASE!

Answers

Answer:

A) 4*4x-4*3 and 16x-12

B) 12y+15y and 27y

Step-by-step explanation:

For A when you do the distributive property, you get:

4(4x-3)

4*4x-4*3 (which is one of the choices)

16x-12 (which is one of the choices)

For B when you combine like terms, you get:

12y+5y+10y

12y+15y (which is one of the choices)

27y (which is one of the choices)

3) A chef randomly chooses subscription information from his blog readers to determine people who are likely to watch his new cooking show. Which statement BEST describes the random sample? A) The random sample represents all people who visit cooking blogs. B) The random sample represents all people who are interested in cooking shows. C) The random sample represents all people who are likely to watch the chef's new cooking show. Eliminate D) The random sample does not represent all people who are likely to watch the chef's cooking show.

Answers

Answer:

The answer is D, the random sample does not represent all people who are likely to watch the chef's cooking show.

Step-by-step explanation:

This is because not all people who enjoy cooking know about or visit the chef's blog.

Answer:ok guys so the answer is D

Step-by-step explanation: Not all people who enjoy cooking know about or visit the chefs blog

The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board? ( where

Answers

Answer:

13.76ft²

Step-by-step explanation:

Side of square: d=8ft

Area of board: Sb=d×d=64ft²

Area of circle: Sc=pi×r²=pi×(d/2)²=pi×d²/4=pi×64/4= 16×pi=50.24ft²

Remainin area: Sb-Sc=64-50.24=13.76ft²

Answer:

Area of remaining board is 13.728 feet²

Step-by-step explanation:

Given; Square side length = 8 feet

Therefore, the diameter of the cut out circle = 8 feet, then Radius = 4 feet

The approximate area, in square feet, of the remaining board will be the are of the square minus the ares of the cut out circle.

Area of the square =  S²

                                = (8 feet)²

                                = 64 feet²

Area of the cut circle = π(4 feet)²

                                   = 3.142 x 16 feet²

                                   = 50.272 feet²

Area of remaining board = Area of the square - Area of the cut circle

Area of remaining board = 64 feet² - 50.272 feet²

Area of remaining board = 13.728 feet²

Peter has 51 fruit chews to share with Josh and Jenny. The number of fruit chews Peter gives to Josh is 9 less than four times the number of fruit chews he gives to Jenny. If Peter has no fruit chews left over, how many fruit chews does Peter give to Jenny?

Answers

Model this into an equation.
4J-9+J=51
5J=60
J=12
He gives Jenny 12 fruit chews.

Henry divided his socks into five equal groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if s = 20?

Answers

Answer:

20/5=number in each group. It can also be S/5

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

sorry if im wrong but hope this helps :)

solve the rato table 16:28=4:_​

Answers

Answer:

x =7

Step-by-step explanation:

16:28=4:x

16*x=28*4

x=28*4/16

x=112/16

x=7

Answer:

7

Step-by-step explanation:

16/4=4 28/4=7

How do you solve 3 over 4 •-3 -2.5

Answers

Answer:

(¾ * -3) -2.5

equals (-9/4) -2.5

equals -4.75

Step-by-step explanation:

monk crossbred​ plants, which can have purple or white​ flowers, and obtained 639 plants with white flowers and 280 plants with purple flowers. Find the empirical probability that a plant had each type of flower.
11.1#18

Answers

Answer:

The emperical probability of being a plant with white flower is

[tex]\dfrac{639}{919}\approx 0.695[/tex]

The emperical probability of being a plant with purple flower is

[tex]\dfrac{280}{919}\approx 0.305[/tex]

Step-by-step explanation:

There are

639 plants with white flowers 280 plants with purple flowers919 plants in total.

The empirical probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

The emperical probability of being a plant with white flower is

[tex]\dfrac{639}{919}\approx 0.695[/tex]

The emperical probability of being a plant with purple flower is

[tex]\dfrac{280}{919}\approx 0.305[/tex]

What is the P(H,H,H,T,T) on 5 flips of a coin?

I need help

Answers

Answer:

The probability for Heads will be 60% or 3/5.

The probability for Tails will be 40% or 2/5.

Step-by-step explanation:

The coin flipped 5 times and landed on Heads 3 times. This shows that out of 5 situations, 3 situations were Heads. Therefore, the  probability is 3/5.

The coin landed on Tails 2/5 times the coin was flipped, which is basically the probability.

Final answer:

The probability of getting 3 heads and 2 tails in 5 flips of a coin, in any order, is 0.3125 or 31.25%. This is calculated by figuring out the number of ways to get 3 heads and 2 tails out of 5 flips (10 ways) and dividing that by the total possible outcomes in 5 flips (32 outcomes).

Explanation:

The question is asking about the probability of getting three heads and two tails in 5 flips of a fair coin. The order given in the question (H, H, H, T, T) doesn't matter in this case because the flips are independent events.

We calculate the probability by figuring out the number of ways we could get 3 heads and 2 tails out of 5 flips and divide that by the total number of outcomes in 5 flips of a coin. There are 10 ways to get 3 heads and 2 tails out of 5 flips, and there are 32 total possible outcomes in 5 flips of a coin (because 2^5 = 32, as each flip has 2 possibilities, heads or tails).

So, P(H, H, H, T, T) = 10 / 32 = 0.3125 or 31.25%

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Andre rents beach chairs and umbrellas to tourists visiting the beach. On one Saturday, he has 150 customers. If he rents 125 chairs and 72 people rent both chairs and umbrellas, how many people rent umbrellas?

A. 25
B. 72
C. 97
D. 125

Answers

Answer:

25

Step-by-step explanation:

First: 125+72-150 is 47

Chairs: 125-47 is 78 chairs

Umbrellas: 72-47 is 25 umbrellas

Hence, there is 25 people rented umbrellas

Hope this helps!!!

Have a nice day:)

Final answer:

By applying the principle of inclusion-exclusion, we determined that the number of people who rent umbrellas is 97, after accounting for the overlap of customers who rent both chairs and umbrellas.

Explanation:

To solve this combinatorial problem, we can employ the principle of inclusion-exclusion. The principle is a way to count the number of elements of each collection, subtracting the overlaps (in this case, people who rent both chairs and umbrellas), and adding the elements that are in neither category if necessary.

Let's define the following terms:


 C - the number of customers who rent chairs
 U - the number of customers who rent umbrellas
 B - the number of customers who rent both chairs and umbrellas

According to the question:

C = 125 (chairs)

B = 72 (both chairs and umbrellas)

The total number of customers, T, is given by:

T = C + U - B

Since the total number of customers is 150, we have:

150 = 125 + U - 72

To find U (the number of people renting umbrellas), we just need to solve for U:

U = 150 - 125 + 72

U = 25 + 72

U = 97

Therefore, the number of people who rent umbrellas is 97.

Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs
3x - 7 pounds, Seth's bag weighs 2x -- 10 pounds, and Joanna's bag weighs
2x + 2 pounds. Together, Randall's and Joanna's bags weigh 3 times as much as
Seth's bag. How many pounds of trash does each friend pick up?​

Answers

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs  3x - 7 pounds

∵ Joanna's bag weighs  2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as  Seth's bag

- That means add Randall's bag and Joanna's bag and equate

    the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

(3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs  = 2(25) + 2 = 50 + 2

Joanna's bag weighs  = 52 pounds

Answer: What is the

Step-by-step explanation:

solve for x 2(x+7)-3(2x+4)= -18

Answers

Answer:

x = 5

Step-by-step explanation:

Given

2(x + 7) - 3(2x + 4) = - 18 ← distribute both parenthesis

2x + 14 - 6x - 12 = - 18, that is

- 4x + 2 = - 18 ( subtract 2 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

The original equation 2(x+7) - 3(2x+4) = -18 simplifies to -4x = -20, which leads to the solution x = 5. This is confirmed by substituting x back into the original equation, resulting in an identity (-18 = -18).

The equation to solve is 2(x+7) - 3(2x+4) = -18. To solve for x, we first expand the equation:

2x + 14 - 6x - 12 = -18

Combining like terms, we get:

-4x + 2 = -18

Subtracting 2 from both sides gives us:

-4x = -20

Dividing both sides by -4, we find that x = 5.

To verify the solution, plug x back into the original equation:

2(5+7) - 3(2*5+4) = -18

Which simplifies to:

24 - 30 = -18

This confirms that the solution x = 5 is correct as it results in an identity after substitution.

Ratios that are equivalent to 8 : 20

Answers

Answer: 16 and 40.  24 60

Step-by-step explanation:

-6x +6x-1 simplified

Answers

Answer:

-1

Step-by-step explanation:

I hope this helps!


What are three numbers that have a sum of 44 if the greatest number is 11 more than the least
a. 1, 15, 12
b. 9, 14, 20
c. 8, 17, 19
d. 11, 16, 22​

Answers

for process of elimination purposes, which is helpful, only one of these add up to 44, which is the answer C. 19-8=11, which is the difference between the least and greatest number.

I need help please plot it

Answers

Here is answered. I plotted the numbers that you asked for.
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