Find the prime factorization of 120.


23 × 3 × 5

2 × 32 × 5

2 × 3 × 5

2 × 32 × 52

Answers

Answer 1

Answer:

(7/8 - 4/5)^2 = 9/

1600

= 0.005625

Step-by-step explanation:

Subtract: 7/

8

- 4/

5

= 7 · 5/

8 · 5

- 4 · 8/

5 · 8

= 35/

40

- 32/

40

= 35 - 32/

40

= 3/

40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven eighths minus four-fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = 3/

40

^ 2 = 32/

402

= 9/

1600

In words - three-fortieths squared = nine one-thousand six-hundredths.


Related Questions

Plz help
Will mark brainliest

Answers

Answer:

(0,-1)

Step-by-step explanation:

(0,-1) will work because when you plug them is it is equivalent to 4

The graph of a polynomial function of degree n meets the x-axis at most n times.

Select one:

a. TRUE

b. FALSE​

Answers

False I am pretty sure hope this helps
False is correct :))

Write the equation of the line, in slope intercept form through the following two points
(-9,-1)
(4,0)

Answers

Answer:

y=1/13x - 4/13

Step-by-step explanation:

Just follow the slope intercept form formula-

Formula: y= mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Feel free to ask if you have any questions, hope this helps!(:

PLEASE HELP QUICK
4x^2-7x-15 factored completely.

Answers

Answer:

(4x+5)(x-3)

Step-by-step explanation:

You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.

answer for brainlist

Answers

Answer:

Answer

Step-by-step explanation:

PLEASE help me with this!​

Answers

The answer is d.

The easiest way is to find a point within the shaded region and test out the equation.

Kiran wants to know if there is more efficient way of solving the problem. Oriya says she can solve the problem with only 2 rows in the table. What do you think Priya's method is? Use the sketch to show work on how Prius would get their answer.

Answers

Ummmm I think 5 I rlly don’t know though sorry

Answer:62.5

Hello

Step-by-step explanation:

1. 7.50 divided by 6 = 1.25 for 1 length of rope (Feet)

2.50x1.25=62.5

Hope this helped

Or I might be wrong Im not sure yet.

What is the the area of an 8x8x8 general prism

Answers

Answer:

512??

Step-by-step explanation:

um i just multipled 8x8x8 but its probably wrong- sorry

My guys do your thing i am giving brainliest

Answers

Answer: 18.84

1.  Multiply the radius by two (diameter)

2. Multiply the diameter by pi

3. Round

Answer:

the circles circumference is 18.84 cm

(8x2 + 5x – 9) - (3x2 – 5x + 1) = ?

Answers

Answer:

10x

Step-by-step explanation:

I need help please with this equation

Answers

Answer:

The chosen topic is not meant for use with this type of problem.

3

,  

(

1

,

3

)

5

,  

(

1

,

1

)

4

,  

(

2

,

4

)

Step-by-step explanation:

Flying lessons on weekdays cost m dollars per hour. Flying lessons on weekends cost 1.2m dollars per hour. The expression 9m+3(1.2m) represents the to

Answers

Answer:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

Step-by-step explanation:

Given

[tex]Weekdays = \$m /hour[/tex]

[tex]Weekends = \$1.2m/hour[/tex]

Required

What does 9m + 3(1.2m) represent

The expression can be split to:

9m and 3(1.2m)

For 9m:

From the question, we understand that:

[tex]m = 1\ hour[/tex]

Multiply both sides by 9

[tex]9 * m = 1\ hour * 9[/tex]

[tex]9 m = 9\ hours[/tex]

This means that:

9m = the cost of lessons for 9 hours on weekdays

For 3(1.2m):

From the question, we understand that:

[tex]1.2m = 1 \ hour[/tex]

Multiply both sides by 3

[tex]3 * 1.2m = 1 \ hour * 3[/tex]

[tex]3(1.2m) = 3 \ hours[/tex]

This means that:

3(1.2m) = the cost of lessons for 3 hours on weekends

Hence, the expression represents:

The cost of lesson for 9 hours on weekdays and 3 hours on weekends

A sandwich store chargers a $10 delivery fee, and $4.50 for each sandwich.

what is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches.

Formula (y=mx+b)

Answers

Answer:

$37

Step-by-step explanation:

Delivery fee- $10

each sandwich- $4.50

Sandwiches ordered- 6

4.50(6)+10=37

1. Solve the equation for x.
-3 (x+ 4) = 12

Answers

Answer:

x = -8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i had that on my test before

Simplify the expression. 8.5 - 6.21

Answers

______________________________

Answer:

2.29

Step-by-step explanation:

8.5-6.21

4 10

8.50

-6.21

2.29

) Choose ALL the numbers that are less than 6.58. 6.583 6.5 6.58 5.98 6.538 6.49​

Answers

Answer:

6.5, 6.49

Step-by-step explanation:

The numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

What is decimal?

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions.

Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given number: 6.58

Now, we have to find the number less than 6.58

6.58 < 6.583

6.58 > 6.5

6.58 = 6.58

6.58 >5.98

6.58 > 6.538

6.58 > 6.49.

Hence, the numbers that are less than 6.58 is 6.58, 5.98, 6.538 and 6.49.

Learn more about decimal here:

https://brainly.com/question/548650

#SPJ2

Very confused. I read and watched a video on it and it’s left me even more lost then before.

Answers

Answer:

whats the question?

Step-by-step explanation:

Help please.
Algebra.

Answers

Answer:

D.

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: −4

y-intercept: (0,4)

Answer:

D.) d

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: -4

y-intercept: (0,4)

x: 0 & 1

y: 4 & 0

Hence the answer is coordinate grid D.

I don't know how to do these I have online schooling and I need this asap please any help be amazing ​

Answers

The first one would be AAS because they share the middle angle, the corner angle and the side that connects them both, does that make sense? They have to share three things in order for them to be congruent

Please help me for brainliest!! There is a picture! Answer choices : 2, 4, 6, 8

Answers

the scale factor is 4

Answer:

x = 2

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{3.5}{14}[/tex] ( cross- multiply )

14x = 28 ( divide both sides by 14 )

x = 2

What is the value of x in:
3x + 2(x + 1) = 12?
A.12
B.6
C.10
D.2​

Answers

Answer:

D

Step-by-step explanation:

3x + 2(x + 1) = 12 ← distribute and simplify left side

3x + 2x + 2 = 12

5x + 2 = 12 ( subtract 2 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2 → D

d .2

d will be the answer

by simplify

Which is the graph of y = [x] - 2?

Answers

I think it's D because the y-intercept is (0, -2), and in D the filled in circle is on (0, -2) and it goes up one and right one, which is the slope. Although C does this it ends with only one filled in circle, but D still has the two circles and line in between them.

A cylinder has a radius of 5 cm, and a height of 10 cm. What is the
volume? Use 3.14 as it.

Answers

Answer:

785 cm³

Step-by-step explanation:

3.14x5x5x10=785

sasssssssssssssssssssssssssssssssssssss

An exponential function f(x)
= ab" passes through the points (0, 12000) and (2, 3000). What are the values of a and b ?

Answers

Given:

An exponential function [tex]f(x)=ab^x[/tex] passes through the points (0, 12000) and (2, 3000).

To find:

The values of a and b.

Solution:

We have,

[tex]f(x)=ab^x[/tex]      ...(i)

It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get

[tex]12000=ab^0[/tex]

[tex]12000=a(1)[/tex]

[tex]12000=a[/tex]

Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get

[tex]3000=12000b^2[/tex]

[tex]\dfrac{3000}{12000}=b^2[/tex]

[tex]\dfrac{1}{4}=b^2[/tex]

Taking square root on both sides.

[tex]\pm \dfrac{1}{2}=b[/tex]

For an exponential function b cannot be negative. So, [tex]b=\dfrac{1}{2}[/tex].

Therefore, the value of a is 12000 and the value of b is [tex]\dfrac{1}{2}[/tex].

6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term​

Answers

Answer:

see explanation

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3

[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3

[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex]  = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 25 and r = 3 , then

a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075

What is the base in the expression 4⁵?
A. 4
B. 5
C. 9
D. 20​

Answers

Answer:

4

Step-by-Step Explantion:

Base it always the big number not the little one on the top.

PLZ I REALLY NEED HELP Find the values of x and y in parallelogram PQRS
15. PT=x+2, TR=y, QT=2x, TS=y+3
PLZ ANSWER ASAP DUE IN 30 MINS I WILL BE AWARDING 20 POINTS AND BRAINLIEST ANSWER TO whoever CAN SOLVE THIS

Answers

Answer:

x = 5 and y = 7

Step-by-step explanation:

Given that,

PT = x+2, TR=y, QT=2x, TS=y+3

We need to find the value of x and y.

The diagonal of a parallelogram bisect each other. It means,

PT = TR and QT = TS

ATQ,

y = x+2 ...(1)

and

y+3 = 2x ....(2)

Subtracting equation (1) and (2).

y-(y+3) = x+2-2x

y-y-3 = 2-x

-3 = 2-x

x = 2+3

x = 5

Put the value of x in equation (1).

y = 5 + 2

y = 7

Hence, the values of x and y are x = 5 and y = 7.

Answer:

^ they are correct

Step-by-step explanation:

if x= -3 what is the value of 30+4x ?

42

28

18

31

Answers

Answer:18

Step-by-step explanation:4(-3) = -12, and 40-12=18

Answer:

18

Step-by-step explanation:

I really need help I dont understand thank you

Answers

Answer:

Answer choice B

Step-by-step explanation:

Here is the form you are using:

y=mx +b

Substitute:

y=6x-5

Answer choice B

Carol bought two chairs with triangular backs. For what value of x can you use
a triangle congruence theorem to show that the triangles are congruent?
Which triangle congruence theorem can you use? Explain.

Answers

Answer:

x = 4

Step-by-step explanation:

Two sides, GH and GI, in ∆GHI are of the same side length as corresponding two sides, TU and TV, in ∆TUV.

To prove that both triangles are congruent using the SSS Congruence Theorem, therefore, the their third sides, HI and UV must be equal.

Therefore,

9x - 21 = 15

Add 21 to both sides

9x - 21 + 21 = 15 + 21

9x = 36

Divide both sides by 9

x = 4

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