Write each expression without using exponents.
a.
[tex]5 \frac{2}{3} [/tex]
b.
[tex]4 - \frac { 3}{2} [/tex]

Answers

Answer 1
☆Answer : A.)

5⅔ = ...

= (3 × 5 + 2)/3

= (15 + 2)/3

= 17/3

[tex] \: [/tex]

B.)

4 - 3/2 = ...

= 4 - 1,5

= 2,5 <==> 2½

Answer 2

[tex]5 \frac{2}{3} [/tex]

[tex]=\frac{5 \times 3 + 2}{3} [/tex]

[tex] = \frac{15 + 2}{3} [/tex]

[tex] = \frac{17}{3}[/tex]

[tex]4 - \frac{3}{2} [/tex]

[tex] = \frac{4}{1} - \frac{3}{2} [/tex]

[tex] = \frac{4 \times 2}{1 \times 2} - \frac{3}{2} [/tex]

[tex] = \frac{8}{2} - \frac{3}{2} [/tex]

[tex] = \frac{8 - 3}{2} [/tex]

[tex]= \frac{5}{2}[/tex]

[tex] = 2 \frac{1}{2} \: \: \: or \: \: \: 2,5[/tex]


Related Questions

What value does the 4 represent in number 487.009

Answers

Answer:

400

cause 4 is in the hundreds column

Need help with this.

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Answer:

A. The reciprocal of 9/10 is 10/9

B.2/3

Step-by-step explanation:

A. A reciprocal is the inverse of a number

B. 3/5*10/9=

30/45 or 2/3

PLS HELP 50 POINTS!!!! NEED THIS IN 1 HOUR!!!
Which equation justifies why nine to the one third power equals the cube root of nine?

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine

Answers

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Step-by-step explanation:

we know that

The Power of a Power Property , states that :To find a power of a power, multiply the exponents

so

In this problem we have

Remember that

Raise to the third power

Applying the power of power property

therefore

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Answer:

You’re already a hero!

Helping others is the best! We’re sure you can give a great answer.

Step-by-step explanation:

Which expression is equivalent to the following complex fraction?
1
1
2
o
x-1
2x

0
2
2x-2
O
X
0
2x
X-1

Answers

Answer:(1-(1/x))/2

Step-by-step explanation:

(1-(1/x))/2

We can multiply both sides by x:

Top:  x(1-(1/x)) = (x - 1)

Bottom: 2x

(1-(1/x))/2

6 times 8 = ? times 6

Answers

6 * 8 = 48

6 • 8 = 48

6(8) = 48

48 * 6

= 288

Answer:288

Step-by-step explanation:

6×8=46 and

46×6=288

What is the opposite of the opposite of -1.9 situated on a number line?
Like whattt

Answers

The opposite of -1.9 on a number line would be 1.9.

The opposite of the opposite of -1.9 would be -1.9.

That is a super weird trick question... what kinda teacher would give that to you???

3) Which table does NOT represent a function?
A) A
B) B
C) C
D) D

Answers

Answer:

I think it's c pick c it's c

Answer:

the answer is d

Step-by-step explanation:

A function can not have an input with more than one outcome

7(x+2)-5(x+3=9(4-x)

Answers

Answer:

x = 37/11

Step-by-step explanation:

7(x + 2) - 5(x + 3) = 9(4 - x)

=> 7x + 14 - 5x - 15 = 36 - 9x

=> 2x - 1 = 36 - 9x

=> 11x = 37

=> x = 37/11

Hoped this helped.

which reason would be used to justify the last step in the proof below​

Answers

Answer:

1.

Step-by-step explanation:

simplify the equation

Answers

The first one is correct.
It simplifies to 5/3 x plus 2/3 x which equals 7/3 x. This becomes 2 and 1/3 x.
And 8/3 is 2 and 2/3.
The last 2 answers are wrong because 1/3 times -8 gives a negative number.
Remember that when you multiply by 3/3 you change the form but not the number.

the price of a machine is given as GHC 20,000 plus VAT. If the VAT rate is 12%, find the price that a customer must pay for the machine.

Answers

Answer:

Step-by-step explanation:

12/100 × 20000

= 2400

Price customer must pay = 20,000+ 2400 = 22400.

If price of a machine is given as GHC 20,000 plus VAT. If the VAT rate is 12%. Then 22400 is the price that a customer must pay for the machine.

What is Percentage?

Percentage, a relative value indicating hundredth parts of any quantity.

Given,

The price of a machine is given as GHC 20,000 plus VAT

The VAT rate is 12%,

We need to find how much a customer has to pay for the machine..

12% is changed to decimal number by dividing with 100.

12/100=0.12

Now multiply 20000 with 0.12 to find 12% of 20000

0.12×20000=2400

Now we have to add 2400 with 20000 to get the cost of machine after adding VTA

20000+2400=22400

Hence 22400 is the price that a customer must pay for the machine.

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what i can do what can i do

Answers

Answer:

thanks for the points have a nice day

You can go outside and do active stuff or family activities like going to the mountains, watching a movie or talk about things or spend time caring for yourself

I need help plzzzzzzzz

Answers

Answer:

51

Step-by-step explanation:

Given:

c=3

d = 7

thus just substitute it in.

15+(3)^2 * (7) - (3)^3

15 + 9*7-27

15+63-27

=51

Directions: Solve for x, then find each angle measure

Answers

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

so

9x + 3 + 11x - 21 + 5x - 2 = 180

25x = 180 - 3 + 21 + 2

25x = 200

x = 200 : 25

x = 8

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

E = 9 * 8 + 3 = 75°

D = 5 * 8 -2 = 38°

F = 11 * 8 - 21 = 67

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

check

75 + 37 + 67 = 180°

The required simplified value of the x is 8, as of the given condition.

A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.

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,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8

Thus, the required simplified value of the x is 8.

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What is the vertex for:

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(-2,0)


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Answers

Answer:

you factories the equation

Jessica had 289 dollars to spend on 7 books. After
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Answers

Answer:

39

Step-by-step explanation:

289-16= 273

273/7= 39

Hope this helps! :)

Answer:

$39

Step-by-step explanation:

let b = cost of each book

289 - 7b = 16

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Can some one please help me please

Answers

Answer:

j(10) (÷} =÷9

so let's check 89÷9= 9

please help mee
i’ve been on this for so long

Answers

Since the angle of a full square, circle, etc is 360*, divide 360 by 12 which gives you 30*. Angle PQR = 30*
Angle PQ = Angle RQ
Line PQ = Line QR
(some added things because mathswatch likes them!!)

Miss Rudolph recorded the change in temperature of a cooling liquid as -27.5 Fahrenheit over 2.5 minute. The temperature fell at a constant rate what was the rate of change in the temperature

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Step-by-step explanation:

how many cups of water do you need to fill in one jar maths

How to solve this question? :)

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Answer:

I think it's 20 i don't know man

True or false: When testing the difference between two population means it is unlikely that one would know the value of the population variances.

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The answer is True
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In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?

Answers

Answer:

2035

Step-by-step explanation:

2010=100g

2020=70

100-70=30

70-30=40

2030=40

Answer:

Somewhere in 2038

Step-by-step explanation:

In 2010 in there was 100g of a certain radioactive isotope

In 2020 now there’s 70g of a certain radioactive isotope

what changed,?

In 10 years they lost 30g of radioactive isotope

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Year 2030 there will be 50g

Year 2035 there will be 35g

Year 2040 there will be 20g

But we want to get 25g in how many years

1 year takes 3g

2 year takes 6g

3 year takes 9g

4 year takes 12g

But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..

Can someone please tell me how to subtract 1 3/8 by 3/4
Please help!

Answers

Answer:

2 1/8

Step-by-step explanation:

In order to subtract two fractions with unlike denominators, you have to bring them to THE SAME denominator. You can do that by multiplying both the numerator and denominator of 3/4 by 2 (so it can have a denominator of 8) to get 6/8. Then, simply add 1 3/8 and 6/8 by combining the numerators and keeping the denominators the same. You should get 1 9/8 which is, as a mixed number, 2 1/8

Find an
angle in each quadrant with a common reference angle with 280°, from

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Answer:

Step-by-step explanation:180

Answer:

80

Step-by-step explanation:

i don't know if it is right

Free pointzzzzzzzzzzzzzzzzzzzzzzzzzzz

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WOWW LOL THNX THO teeeheee

Nina paid $37.57 for 13 gallons of gas Fred paid $55.67 for 19 gallons of gas Eleanor paid $48.62 for 17 gallons of gas. Who got the best buy?
(Find the unit price for each

Answers

Answer:

Nina paid $2.89 per gallon.

Fred paid $2.93 per gallon.

Elanor paid $2.86 per gallon.

Elanor got the best deal.

Step-by-step explanation: Simple division, and if you don't know how to, just learn it or use a calculator.

Answer:

Eleanor because they paid the lowest.

Step-by-step explanation:

N=Nina F=Fred E=Eleanor

N 37.57/13=2.89 per gallon

F 55.67/19=2.93 per gallon

E 48.62/17=2.86 per gallon

There are 30 puzzle books on a shelf. The number of puzzle books is 25 of all the books on the shelf.

What is the total number of books on the shelf?

Enter your answer in the box.

books

hurry ill give brainliest answer

Answers

The total number of books on the shelf is 12 books

Given the following parameters

Total number of puzzle books on the shelf = 30 books

If the number of puzzle books is 25 of all the books on the shelf, the total number of books on the shelf is expressed as:

= 2/5 of 30

= 2/5 * 30

= 2 * 6

= 12

Hence the total number of books on the shelf is 12 books

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Answer:

75

Step-by-step explanation:

Brandon has 32 stamps. He wants to display the in rows, with the same number of stamps in each row. how many different ways can he display the stamps? explain.

Answers

Answer:

You can put the stamps in three rows of 8 since 8 times 3 equal 32

Step-by-step explanation:

Hope it helps

A car moving at a constant speed passed a timing device at t = 0. After 6 ​seconds, the car has traveled 534 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.

Answers

Answer:

d = 89t

Step-by-step explanation:

d = distance --- t = timing device --- x = speed or feet per x

d = tx

linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x

linear equation --> d = 89t

Answer:

[tex]f(x)=89x[/tex]

Step-by-step explanation:

With the given information, you have 2 points.

1. (0, 0)

2. (6, 534)

With 2 points, you can calculate the slope of the linear function.

[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89[/tex]

Finally, you can write a function:

[tex]f(x)=mx+b[/tex]

No need to calculate the y-intercept as thats already given in point (0, 0).

[tex]f(x)=89x+0\\f(x)=89x[/tex]

if there are 139,799,000 square miles of water on earth what percent is left on earth that is not covered in water

Answers

There are 196.1 million square miles on earth so subtracting 139.8 from that is 57.1 so 57.1 million square miles of earth is not covered with water

The percentage of earth that is not covered in water is given by the equation A = 29 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total area of earth be = 196,900,000 square miles

And , 71% of Earth’s surface is covered in water

So ,

Percentage of earth's surface covered in water = 71 %

And , area of earth covered by water = 139,799,000 square miles

Substituting the values in the equation , we get

So , the remaining percentage of earth not covered in water A = 100 - 71

On simplifying the equation , we get

Remaining percentage of earth not covered in water A = 29 %

The remaining area of earth = 0.29 x 196,900,000

The remaining area of earth = 57,101,000 miles²

Therefore , the value of A is 29 %

Hence , the percentage is 29 %

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