what is 6 and 2/3 - 4 and 1/2

Answers

Answer 1
2/3 x 2 = 4/6
1/2 x 3 = 3/6
4/6 - 3/6 = 1/6
6-4 = 2
2 and 1/6
Answer 2
Work: 6 2/3 - 4 1/2
Mix # to improper #
20/3-9/2
Find common denominator
20/3×2/2= 40/6
9/2×3/3=27/6
40/6-26/6= 13/6
Simplify
Answer: 2 1/6
hope that helps :)

Related Questions

One bottle contains 500 milliliters of juice. How many liters of juice are there in 24 of these bottles?

Answers

500÷24=20.8L
Answer= 20.8L
1 liter = 1000 milliliters

So 500 x 1000 = 500,000
500,000 x 24 = 12,000,000

I'm learning about Equivalent systems of equations, please help!

Answers

OK to solve this, we have to solve each system presented through elimination or substitution and find which one is equivalent to that of the teacher's!

First let's solve for the teacher's:
-2x+5y=10
-3x+9y=6
Solve by substitution (I think elimination might be easier to do for this one, but I don't really remember 100% sorry!)
Isolate the x (or y) variable in the first equation
-2x+5y=10
-2x=10-5y
[tex]x= \frac{10-5y}{-2} [/tex]
Substitute x into the next equation and solve for y
-3(10-5y/2)+9y=6
3*10-5y/2+9y=6
(multiply both sides by 2)
3(10-5y)+18y=12
30-15y+18y=12
30+3y=12
3y=-18
y=-6

Substitute in x
x= -10-5(-6)/2
x=-20

TEACHER'S ANSWER (-20,-6)


GOKU
x-3y=-2
-2x+5y=-7
Do the same as above
Solve for x
x-3y=-2
x=3y-2
Plug in
-2(3y-2)+5y=-7
4-6y+5y=-7
4-y=-7
-y=-11
y=11

x=(3(11)-2)
x=31
GOKU'S ANSWER (31, 11)

SELINA:
-5x+14y=16
-3x+9y=12
One last time!! :)

-5x+14y=16
-5x=16-14y
x=(16-14y)/-5

-3(-(16-14y/5)+9y=12
3*16-14y/5+9y=12
3*16-14y+45y=60 
48-42y+45y=60
48+3y=60
3y=12
y=4

x=-(16-14(4))/5
x=8
SELINA'S ANSWER
(8,4)

So neither Goku or Selina got the same answer as the teacher
Here I go

The teacher's system is
-2x + 5y = 10
-3x + 9y = 6

To find the system that equals to the teachers solution, we must solve all three of them. (Yeah good luck)

Let's start solving the teacher's system

We need to solve -2x + 5y = 10 for x
-2x + 5y = 10
-2x = 10 - 5y
Divide both sides by -2
-2x/-2 = (10-5y)/-2
x = 5/2 y - 5
Now we need to substitute 5/2 y -5 for x in -3x +9y = 6
We gonna replace 5/2 y -5 by x
-3x + 9y = 6
-3(5/2 y - 5) + 9y = 6
Simplify both sides (I used a calculator)
3/2 y + 15 = 6
3/2 y = 6 - 15
3/2 y = -9
To find y, we need to divide both sides by 3/2
3/2 y/3/2 = -9/3/2  (I used a calculator)
y = -6
It easier to find x since we already find y
So, let's find x by substitute -6 for y in x=5/2 y - 5
What does that mean? We gonna replace the value of y which is -6 everywhere we find y (I hope it makes sense)
x = 5/2 y - 5
x = 5/2 (-6) - 5 (use a calculator)
x = -20

Therefor,
x = -20 and y = -6
This is the teacher's solution so we gonna solve the others and see what they have :)

----------------------------------------------
Selina's system

-5x + 14y = 16
-3x + 9y = 12

So, we need to solve -5x + 14y = 16 for x
-5x + 14y = 16
-5x = 16 - 14y
Divide both sides by -5
-5x/-5 = (16 - 14y)/-5
x = 14/5 y + -16/5     (It looks messy here)
To continue, we need to substitute 14/5 y + -16/5 for x in -3x + 9y = 12
-3x + 9y = 12
-3( 14/5 y + -16/5) + 9y = 12
Simplify both sides
3/5 y + 48/5 = 12
3/5  y = 12 - 48/5
3/5 y = 12/ 5
To find y, we just need to divide both sides by 3/5
3/5 y/3/5 = 12/5/3/5  (cancel 5, then divide 12 by 3 = 4)
y = 4
We gonna use the value of y to find x
We gonna do that by substitute 4 for y in x = 14/5 y + -16/5
x = 14/5 y + -16/5
We gonna replace y by 4
x = 14/5 (4) + -16/5 (used a calculator)
x = 8
Therefore,
x = 8 and y = 4
So, Selina system doesn't equal to the teacher's system.
-----------------------------------
Goku's system

again, I used the same steps to solve all of them.

x - 3y = -2
-2x + 5y = -7

We need to solve x - 3y = -2 for x
x - 3y = -2
x = -2 + 3y
I prefer to let the unknown value leads, so it will be
x = 3y - 2  (it still the same thing :) )
Substitute 3y - 2 for x in -2x + 5y = -7
-2x + 5y = -7
-2(3y - 2) + 5y = -7
-6y + 4 + 5y = -7
-y + 4 = -7
-y = -7 - 4
-y = -11
We cannot leave the y with a negative sign, so we must divide both sides by -1
-y/-1 = -11/-1
y = 11
To find x, we need to substitute 11 for y in x = 3y - 2
x = 3y - 2
x = (3)(11)-2
x = 33-2
x = 31
Therefore,
x = 31 and y = 11
Goku's answer doesn't equal to the teacher's answer.

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

Answer : Neither Goku or Selina

I hope I helped!

 

Ben has 3 times as many guppies as goldfish. If he has a total of 20 fish, how may guppies does he have?

Answers

15 guppies 5 goldfish ,

record the product 8x43 using expanded form to help

Answers

40×8=320[ 8×3=24 ]320+24=344

Kevin is 14 inches taller than George. The difference between Kevin and Richard is two inches less than between Richard and George. Kevin at 6'6" is the tallest. How much tall are Richard and George?

Answers

 1 foot is 12 inches which makes 14 1.2

6.6-1.2= 5'4 george

richard is 6'0







Richard is 6'1" and George is 5'11" tall.

To calculate Richard and George's heights, we start with Kevin being 6'6" and 14 inches taller than George, meaning George is 5'4".

The difference between Kevin and Richard is 2 inches less than between Richard and George, making Richard 6'1" and George 5'11".

Monday's temperature was 6 degree the low temperature was -3 degree what was the difference between the high and low temperatures

Answers

The the difference between the high and low temperatures was 9 degrees. 
To find the difference between two numbers, you subtract them from eachother. 6 - -3 is the same as 6+3, so the difference between the two temperatures is 9 degrees.

In a seventh grade class, 14 out of 30 students are boys. In simplest terms, what is the ratio of the number of boys to the number of girls in this grade?


Answers

14 boys : 16 girls

but this would have to be simplified also

7:8
If 14 of 30 kids are boys, than that means that 16 are girls. The first ratio is 14:16 but you can simplify this down to 7:8. So the ratio of boys to girls is 7:8

Hope I helped!

A rope 25 feet long is cut into 3 pieces. The forest piece is 2x feet long, the second piece is 5x feet long, and he third piece is 4 feet long.

a. Write and solve and equation find x.

b. Find the length of the first and second piece

Answers

(a) 2x + 5x + 4 = 25 <== ur equation
    7x + 4 = 25
    7x = 25 - 4
    7x = 21
     x = 21/7
    x = 3

(b) first piece = 2x....= 2(3) = 6 ft <=
     second piece = 5x....= 5(3) = 15 ft <=

If a triangle in quadrant 1 is rotated 90 clock wise about the orgin in what quarant is the image located

Answers

The image would be in Quadrant IV (4).
Well, here is the answer: 

Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M’ (k, -h).

complete the sentence below using one of the words. 'Power, Base, Exponent'

The number 1,000,000 is a(n) ______ of 10

Answers

The number is 10 to the -6 power

The number 1,000,000 is a 6 power of 10.

Given that,
An incomplete statement is given,
The number 1,000,000 is a(n) ______ of 10.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1000000 = 10ˣ

10⁶ = 10ˣ
x = 6


Thus, The number 1,000,000 is a 6 power of 10.

Learn more about arithmetic here:

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A bus service drives passengers between Milwaukee and Chicago every day. They travel from city to city eight times each day. The distance between the two cities is 89 miles..In February there are 28 days. The company's budget allows for 28,000 total miles for February. Do you think the budget is reasonable? Explain

Answers

it is reasonable
to the budget

Answer:

Yes the budget is reasonable.

Step-by-step explanation:

A bus service drives passengers between Milwaukee and Chicago every day for eight times each day.

The distance between the two cities is 89 miles.

So, total distance covered per day = [tex]89\times8=712[/tex] miles.

Total distance covered in 28 days = [tex]28\times712=19936[/tex] miles.

As give, The company's budget allows for 28,000 total miles for February.

So, yes the budget is reasonable, as it is less than 28000.

Explain how you can rename 5,400 as hundreds. Include a quick picture or a place-value chart in your explanation

Answers

5400 is 54 hundreds because 5400 divided by 100 equals 54 hundreds i couldn't find a graph though

Answer:

5,400 as Fifty four hundred.      

Step-by-step explanation:

Given : Number 5,400.

To find : Explain how you can rename 5,400 as hundreds. Include a quick picture or a place-value chart in your explanation ?

Solution :

The place value system of 5,400 is

Thousand     Hundred       Tens     Ones

     5                  4                 0          0

i.e. five thousand four hundred

Rename 5400 as hundreds,

As [tex]5400=54\times 100[/tex]

So, We can say 5,400 as Fifty four hundred.

What is the value of the expression 2 (exp) 2 + 4 (exp) 2 ÷ 2 (exp) 2?

Answers

2^2+4^2/2^2

According to the order of operations, evaluate all exponents first.
2^2=4
4^2=16

4+16/4

Then divide next
4+4

Then add
8

Final answer: 8

Anna buys groceries for her family.hamburger meat is $3.38 per pound sweet potatoes are$0.79. Each and hamburger rolls are $2.30a bag.if Anna buys 3 pounds of meat 5 sweet potatoes and 1 bag of hamburger rolls what will she pay in all for the groceries

Answers

2.30 x 1 = 2.30 for the hamburger rolls
3.38 x 3 = 10.14 for the hamburger meat
.79 x 5 = 3.95 for the sweet potatoes

3.95 + 2.30 + 10.14 = 16.39$ is her total.

To further explain this, and/or to find answers to similar problems like this, you take the amount per pound or whatever unit of measurement (let’s say this variable is Z) and then you take the amount that they are getting per said unit ( let’s say Y) thus an equation that can be used to find problems like this is Z x Y.

The total amount of money paid by Anna is [tex]\fbox{\bf \$16.39}[/tex].

Further explanation:

Given:

Anna buys 3 pounds of hamburger meat.

Anna buys 5 sweet potatoes.

Anna buys 1 bag of hamburger rolls.

The cost of hamburger meat is $3.38 per pound.

The cost of 1 sweet potato is $0.79.

The cost of 1 bag hamburger is $2.30.

Procedure:

1. First find the money spent on hamburger meat, sweet potatoes, and hamburger rolls.

2. Now add all the money to obtain the total money spent on the groceries.

Calculation:

The money spend by Anna on the hamburger meat is obtained as follows:

[tex]\boxed{3.38\times3=\$ 10.14}[/tex]

The money spend by Anna on the sweet potato is obtained as follows:

[tex]\boxed{0.79\times5=\$ 3.95}[/tex]

The money spend by Anna on the hamburger roll is obtained as follows:

[tex]\boxed{2.30\times1=\$ 2.30}[/tex]

Total money spent by Anna to buy all the groceries can be obtained by the sum of the amount of money spent on all the groceries.

Therefore the total money paid by Anna is obtained as,

\boxed{\$ \left( {10.14 + 3.95 + 2.30} \right) = \$ 16.39}.

Thus, the total amount of money paid by Anna is [tex]\fbox{\bf \$16.39}[/tex].

Learn more:

1. Learn more about algebraic expression https://brainly.com/question/1600376

2. Learn more about functionhttps://brainly.com/question/1900154

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords:

Anna, groceries, sweet potato, hamburger meat, hamburger rolls, bag, pounds, 3, $3.38, $0.79, family, total money, spend.

it takes 45 minutes or 45\60 of an hour to cook a chicken. How many fourths of an hour is that?

Answers

Minutes taken \by fourth of an hour 45\15=3
That is is 3/4 of an hour.

In which expressions of the exponent be multiplied

Answers

It would be D. because since the other three are used for different operations, you would multiply 6 by -5 to get -30.

Convert the following decimal below into a rational number 0.1

Answers

a rational number is a fraction...so lets make this a fraction

0.1....notice that the 1 is in the tenths place...so put it over 10
0.1 = 1/10 <== ur rational number

It can be expressed as the fraction 1/10, because 0.1 has one decimal place.

The student has asked to convert the decimal 0.1 into a rational number. A rational number is a number that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. To convert a decimal to a rational number, we consider the place value of the decimal. Since 0.1 has one decimal place, it can be expressed as 1/10. Hence, the decimal 0.1 as a rational number is 1/10.

What is the product of 5 + 2i and 7 + 3i?

Answers

I is equal to negative 1
1) 5-2i or 5-2
2) 7-3i or 7-3
(5+{2xi}) x (7+{3xi}) = 29+29i

Help me find the answer

Answers

Since 1*7=7, 1 4/7= (7+4)/7=11/7. When dividing fractions, we switch the numerator and denominator for the bottom number, so in this case we'd have 
(11/7)*(6/5)=66/35=around 1.89

The science department buys the equipment shown in the table they bought all three items this year and how many years will they have had by all three items again

Answers

Item                          Time bought
MIcroscopes             Every 5 years
Safety goggles          Every 4 years
Test Tube                  Every 2 years

It would take 20 years for them to buy these three items at the same time.

We simply need to find the LCM or least common multiple of the 3 items using the number of years.

Microscopes - 5 years → 5, 10, 15, 20
Goggles - 4 years → 4, 8, 12, 16, 20
Test tubes - 2 years → 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 

Write two multiplication expressions that have a product of 20,000.

Answers

10,000x2=20,000
5,000x4=20,000
20•1,000 = 20,000

8,000•2.5 = 20,000

a male lion needs as much as 15 pounds of food each day or 105 pounds of food each week.how much does a lion need in one year.
I'm just checking i have the answer i just want to check thx

Answers

Final answer:

If a male lion eats 15 pounds of food each day or 105 pounds each week, it would need about 5460 pounds of food in a year. We arrive at this by multiplying the weekly amount (105 pounds) by the number of weeks in a year (52 weeks).

Explanation:

The question is asking how much food a male lion needs in a year if it eats 15 pounds of food each day, or 105 pounds per week. If we want to know how many pounds of food a lion needs for an entire year, we would need to multiply that weekly amount by the number of weeks in a year. There are 52 weeks in a year. So, we take 105 pounds of food per week and multiply it by 52.

Calculation: 105 × 52 = 5460

So, a male lion needs about 5460 pounds of food in a year.

Learn more about Multiplication here:

https://brainly.com/question/35502092

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The product of a non zero rational number and a irrational number is always sometimes or never irrational

Answers

Always. The only way an irrational number can become rational is if it’s multiplied by a irrational number.

Hope this helps!
The answer is sometimes 

help me solve this plz Make up a story for 100 - 6x = 160 - 10x

Answers

X=40.

-6x+10x=160

4x=160 divide by 4 on both sides
And your answer is 40
-10x+6x-160+100
-4x-260

Hal, Zelda, Maya , and Jason each recorded the height and age of 5 classmates. They used the data to create the tables below.
If you can help that would be greatly appreciated

Answers

Zelda every 2 years she grows 1 inch

Which letter below is NOT made only of line segments?

1. F
2. M
3. D
4. X

Answers

3. D because there's a curve 

A number between 40 to 60. When it is divided by 5 it leaves a remainder of 3. When it is divided by 4, it leaves a remainder of 1.

Answers

tge answer is 53 because 53÷5 is 10 remainder 3 and 53÷4 is 13 remainder 1

Multiply 8.88x10 to the 4th power. Explain the shift of the digits and the change in the value of each digit

Answers

88800.. just undo 4 point backward
You just move 4 ponta Back

10 friends go out to lunch and order 9 large pizzas. The friends divide the pizzas evenly. Find how much pizza each friend got as a decimal

Answers

The friends would each have .9 

Hope I helped :)

The library charges $0.75 a day for overdue videos and $0.12 a day for overdue books. Emily pays a total of $3.48 in late fees. How many days late were the items?

Answers

the items were 4 days late
4 days
Add $0.75 to $0.12 you get $0.87
Divide $3.48 by $0.87 you get 4
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