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

how many square units are in an office that is 13 units by nine units

Answers

13 x 9 = 117 square units

Math and Science If 7 giant solar power

plants generate 1.3 gigawatts (GW) of

energy to power 900,000 homes, how

many gigawatts can 21 giant solar plants

generate?

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Answer:

Step-by-step explanation:

multiply everything by three to get your answer

help please??????????????????

Answers

Answer:

-5 and 2

-2 and -1

-3 and 0

There is no shortcut to solving this type of problem. You just have to use trial and error.

:)

Answer:

-2+ (-3)

-5+ 0

-1+ (-2)+ (-2)

Hope this helps!

LMK if it does

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

1. Beth is buying 3 pounds of chicken thighs for $1.29 per pound. How much will she pay?
How many servings will the thighs provide?

Answers

Based on the cost of the chicken thighs per pound, Jackie would pay a total of $3.87

The chicken thighs cost $1.29 per pound purchased.

The cost of 3 pounds is:

= Cost per pound x Number of pounds

Solving would give:

= 1.29 x 3

= $3.87

In conclusion, Beth will pay $3.87 for the chicken. There isn't enough data to know the number of servings.

Find out more at https://brainly.com/question/21511823.

HELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds

Answers

Answer:

5.3 seconds is needed for one signature.

Hence, for 96 signatures, it would take

[tex]96*5.3=508.8[/tex] seconds.

The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Lola needs to sign 96 invitations.

And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.

Since, No of invitation's =96

And, Time required to sign 1 invitation = 5.3seconds

So, Let the time required to sign 96 invitation = x

Hence, We get;

x = 5.3 x 96

  = 508.8 seconds

Thus, The number of seconds Lola needs to sign all 96 invitations is,

⇒ 508.8 seconds

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A warehouse stores thousands of marble slabs of different shapes, sizes, and materials that are used for construction projects. The manager wants to estimate the average weight of these slabs. The slabs are arranged in stacks that have about101010 slabs of different varieties. The manager wants to weigh a random sample of100100100 slabs.Why might the manager choose a cluster random sample instead of a stratified random sample in this setting?

Answers

Answer: Both B and C

B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.

C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.

Step-by-step explanation:

B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.

C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.

which of the following shows the correct order of steps needed to simplify 5+2(3-1)

Answers

Answer:

BODMAS

Step-by-step explanation:

5+2(3-1)

= 5 + 2(2)

= 5 + 4

= 9

*First calculate the sum inside the brackets which equals 2. Then multiply 2 with the answer which you got inside the bracket which equals 4. Then add the result with 5. The answer is 9

Bracket Of Division Multiplication Addition Subtraction

First solve the sums which are inside the brackets. Then solve the numbers which have powers with them. Then divide the numbers which have division signs with them. Then multiply the numbers which have multiplication signs with them. Then add the numbers which have addition signs with them. Lastly subtract the numbers which have subtraction signs with them.

Hope this helps!!

Given that 2x/5=3y/8, find the ratio of X:y

Answers

Answer:

[tex]\frac{2}{5} :\frac{3}{8}[/tex]

Step-by-step explanation:

First of all, answer both sides separately.

Find the value of x and simplify.

Find the value of y and simplify.

It is just like removing the variables.

Which fraction and decimal forms match the long division problem? 15) 8.000 75, 50 45, 的一 5 O A. 8 and 0.53 15 O B. B. 15 and 0.53 8 O c. 15 and 0.533 8 O D. 8 and 0.53 15​

Answers

Answer:

The correct answer is AAAA

Answer:

A.

[tex] \frac{8}{15} and \: 0.53[/tex]

Solve

2^3n-4>0

...................

Answers

Answer:

2^3n-4>0 4

Step-by-step explanation:

brainlies me plsss

What is the area (what is the height)

Answers

Answer:

5 i think

Step-by-step explanation:

The trapezoid's height (h) is 4 mm(millimeters).

Formula to calculate a trapezoid's height;

2 x Area ÷ by A(short base) + B(large base)

What is the center of the circle
2x^{2} +2y^{2}-4x+16y=128
A. (1, -2)
B. (1, 4)
C. (1, -4)
D. (-1, -2)
E. (-1, -4

Answers

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k)are the coordinates of the centre and r is the radius

Given

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x² + y² - 2x + 8y = 64 ( collect x and y terms together )

x² - 2x + y² + 8y = 64

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16

(x - 1)² + (y + 4)² = 81 ← in standard form

with centre = (h, k ) = (1, - 4 ) → C

Need help with this ASAP I’ll mark brainliest

Answers

Answer:

option 3

Step-by-step explanation:

The translation [tex]T_{3, - 4}[/tex] means add 3 to the x- coordinate and subtract 4 from the y- coordinate, then

(- 5, 2 ) → (- 5 + 3, 2 - 4 ) → (- 2, - 2 )

please help giving brainliest and big points it would be greatly appreciated :))

Answers

Answer:

X = 4 , Y = b , Z = 2a

Step-by-step explanation:

2b(2ab)² - a(2b²)² ← expand parenthesis

= 2b(4a²b²) - a(4[tex]b^{4}[/tex]) ← distribute parenthesis

= 8a²b³ - 4a[tex]b^{4}[/tex] ← factor out 4ab³ from each term

= 4ab³(2a - b)

Compare terms to XaY³(Z - b)

with X = 4 , Y = b , Z = 2a

Please help!
Factored Form: -2(x + 1)(x - 3)
a=
concave up or down
y-int (, )
A.o.S: x =
vertex:
x-intercepts ( , ) ; ( , )​

Answers

Here’s my work to your question. My answers are in the green box in the upper right hand corner.

please help! with work please Zeroes of polynomials. will give brainliest!

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Answer: 4k^2 - 9k - 9 = 0

Step-by-step explanation:

lmk if i was right please and ty

how many three-digit positive integers have exactly two digits that are the same?

Answers

there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:

Step-by-step explanation:

insane in the membrane​

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hahaha hahaha crazy x

You spin the spinner once. What is P(factor of 90)?

Answers

Answer:

1

Step-by-step explanation:

d5 7yvjn3f5crc6tv6tvt7gv7g

In the puzzle below, A, B and C are represented by different positive integers. In this case, only odd numbers are needed for consideration, Can you make a couple of quick deductions to determine the value of A

A B
X C
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AAA

Answers

Answer:

x

Step-by-step explanation:

Write the equation of the line y=-11/3x+3 in standard form

Answers

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation of line is,

y = -11/3 x + 3

Since, The standard form of the equation of line will be;

Ax + By = C

Where, A, B and C are integers.

Now, We convert the equation of line in standard form as;

The equation of line is,

y = -11/3 x + 3

Multiply by 3 in both sides,

3 × y = 3 (-11/3 x + 3)

3y = 3 × -11/3 x + 3 × 3

3y = - 11x + 9

3y = - 11x + 9

Add 11x both side;

11x + 3y = - 11x + 9 + 11x

11x + 3y = 9

Thus,

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

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I need this answer also. As fast as possible!!! Please please

Answers

Answer:

See below:

Step-by-step explanation:

The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.

So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].

So what we can do, is input 12 as n in the original function.

Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]

Using algebra, we can solve it and we get 11!

Cheers!

Which expression is equal to 13/14?
-13/14
-13-14
-14-13
-14/13

Answers

Answer:

13/ 14 the first one

Step-by-step explanation:

write a quadratic equation for the points (2,0) and (12,5). make sure to include the axis and five points used to graph the parabola

Answers

Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

The graph is sketched at the end of this answer.

The Factor Theorem states that a polynomial function with roots is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

The graph is a parabola, which means that the function is of the 2nd degree.One zero, with multiplicity 2, at [tex]x = 2[/tex], hence, [tex]x_1 = x_2 = 2[/tex].

Then:

[tex]f(x) = a(x - 2)(x - 2)[/tex]

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

[tex]5 = a(12^2 - 4(12) + 4)[/tex]

[tex]100a = 5[/tex]

[tex]a = \frac{5}{100}[/tex]

[tex]a = 0.05[/tex]

Hence, the parabola is:

[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

At the end of this answer, the graph with five points is sketched.

A similar problem is given at https://brainly.com/question/24380382

Rachel's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?

Answers

Answer:

4 times

Step-by-step explanation:

there is 16 cups of water in a gallon

16/4=4

1 gallon = 4 quarts
4 quarts = 8 pints
8 pints = 16 cups

So 1 gallon = 16 cups of water

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A class trip consists of 84 students and 6 teachers. How many students per teacher are there? I

Answers

Answer:

There are 14 teachers per student

Step-by-step explanation:

students per teacher =

students / teachers

students: 84

teachers 6

84 / 6 = 14

Does -19x go behind -12xi or in front of o -12xi in standard form?

x^2-19x-12xi or x^2-12xi-12x

Answers

Answer:

It's x² -12xi-12x

Step-by-step explanation:

You always do ax²+bx+c

An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.

Answers

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

Eric bought a few marbles and divided equally among four of his friends and his brother, Imer. Eric lost 2 marbles and has only 7 marbles left. How many marbles did Eric buy in all.

Answers

Answer:

54 marbles

Step-by-step explanation:

7+2=9(amount Eric had in all)

9×6=54

so in all, he bought 54 marbles which he shared among his friends and brother.

ANS:54 marbles

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