Solve using suitable property
-2/3 x 5/7 x -9/16 x 14/25

Answers

Answer 1

Given:

The given expression is:

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-9}{16}\times \dfrac{14}{25}[/tex]

It can be written as:

[tex]=\dfrac{-2}{3}\times \dfrac{5}{7}\times \dfrac{-3\times 3}{2\times 2\times 2\times 2}\times \dfrac{2\times 7}{5\times 5}[/tex]

[tex]=\dfrac{-2\times 5\times (-3)\times 3\times 2\times 7}{3\times 7\times 2\times 2\times 2\times 2\times 5\times 5}[/tex]

Cancel out the common factors.

[tex]=\dfrac{-(-3)}{2\times 2\times 5}[/tex]

[tex]=\dfrac{3}{20}[/tex]

Therefore, the value of given expression is [tex]\dfrac{3}{20}[/tex].


Related Questions

what is 34 divided by 5

Answers

Answer:

6.8

Step-by-step explanation:

The solution is : 6.8 is the decimal when 34 divided by 5.

Here, we have,

given that,

34 divided by 5

Given the following mathematical expression;

34 /  5

We would apply the law of division for fractions.

34 /  5

= 34 ÷ 5

= 6.8

the decimal form.

Hence, The solution is : 6.8 is the decimal when 34 divided by 5.

To learn more on division click:

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1.55 años = ____ horas
6. 8 pies = ______metros
150 libras = ______ gramos
36 horas = _______ segundos
25 millas = _______ metros


Answers

Answer:

1. 13578 hours

2. 2.07264 m

3. 68038.856 grams

4. 129600 seconds

5. 46,300 Meters

Step-by-step explanation:

Don't forget me to mark me as brainliest ☺

Answer:

1. 13578 hours

2. 2.07264 m

3. 68038.856 grams

4. 129600 seconds

5. 46,300 Meters

Step-by-step explanation:

Don't forget me to mark me as brainliest ☺

What is the mean of the data set?



{21, 23, 25, 25, 26, 28, 28, 28, 31, 33}




A.26.8

B.27

C.27.8

D.28

Answers

Answer:

A. 26.8

Step-by-step explanation:

268/10

the answers is A. 26.8 ... you add all the numbers and then divide the sum by the amount of numbers there is

Jake is building a fence around his property. He wants the perimeter to be no more than 100 feet. He also wants the length to be at
least 10 feet longer than the width. If he builds his fence according to these limits, which would be the maximum possible width of
the fence?

Answers

Answer:

C

Step-by-step explanation:

Let the length be l and width be w.

The perimeter will be 2 lengths + 2 widths = 2l+2w

2l+2w cannot be more than 100ft

[tex]21+2w \leq 100[/tex]

Also, the length has to be at least 10ft longer than the width.

[tex]l\geq w+10[/tex]

If we substitute w=20, l=30. 2l+2w can be equal to 100 but not over it.

If w=20 and l=30, 2w+2l = 40+60 = 100.

Hence the maximum length of the width of the fence is 20 ft. C

Write a unit rate that compares 48 kids to 6 teams.
(Answer in the form of a:b)

Answers

a : b = 8 : 1

Answer:

kids : teams

a : b

48 : 6

( 48 : 6 ) ÷6

8 : 1

Please help me. I will marks as Brainly if correct

Answers

Your answer would be 12 because the green is half of the red in which it is now 2, 5, and 1.5 we multiply these numbers together and get the volume in which the answer is 12 (: hope I could help, if you could make me brainalist that would amazing!

Dave learned a total of 10 appetizer recipes over the course of 5 weeks of culinary school.
After how many weeks of culinary school will Dave knov a total of 12 appetizer recipes?
Assume the relationship is directly proportional.

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

6 weeks

Step-by-step explanation:

(12/10)5 = 6 weeks

What is the perimeter of this

Answers

26ft+17ft+25ft

=68ft

The perimeter is 68 ft

Answer:sorry I don’t know

Step-by-step explanation:

What is the area of the figure shown? 3 in. 10 in. 5 in. 10 in.​

Please I need help—

Answers

Answer:

65 in²

Step-by-step explanation:

The total area is the sum of the areas of the rectangle and the triangle:

5*10 + 1/2*10*3 = 65 in²

Answer:

area of figure =area of (rectangle+TRAINGLE)

=l×b+1/2 p×b=10×5+1/2 ×3×10=50+15=65 inch² is your answer

Please help I really need help

Answers

Answer:

-23

Step-by-step explanation:

16 x 1/4^2 - 4 x 6 = -23

How much sales tax would you pay for a $55 pair of roller blades if the tax rate is 6.625%?

Answers

you would pay $3.64 in sales tax


55 x 0.06625 = 3.64

Answer:

≈ 3.64 sales tax

Step-by-step explanation:

55 × 0.06625 = 3.64375


Find the area of the composite figure

Answers

Answer:

The answer is 180ft

Step-by-step explanation:

The reason the answer is 180ft is because your using area which means your are multiplying all your answers.

180ft is your answer

Find the surface area of the cone. Round your answer to the nearest tenth..

Answers

Answer:

S.A. = 15.7

Step-by-step explanation:

S. A. = [tex]\pi r^{2} + \pi rl[/tex]

1 x 1 x 3.14 = 3.14

3.14 x 1 x 4 = 12.56

12.56 + 3.14 = 15.7

Write the equation of the line in slope- intercept form

Answers

Answer:

y=8x+1

Step-by-step explanation:

y=mx+b

m=rise/run=(8)/(1)=8

y=8x+b

b is the y-intercept  

y=8x+1

Solve for angle x please help fast

Answers

Answer:

X=18

Step-by-step explanation:

you can find what the missing angle is by subtracting 92 from 180 since its a straight line. After putting in the missing angle you can easily solve for 2X which is 36 and then divide by 2 and get 18.

Answer:

x = 23

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

92° is an exterior angle of the triangle, then

2x + 46 = 92 ( subtract 46 from both sides )

2x = 46 ( divide both sides by 2 )

x = 23

An ice machine uses 3 gallons of water every 9 hours How many gallons of water does it use each hour? How many hours does it
take to use one gallon?
A)gallon per hour, 1 hour
B)gallon per hour; 3 hours
C)3 gallons per hour, 1/9 hour
D) 1/3 gallon per hour
1/3 hour

Answers

Answer:

1/3 gallon per hour, and it takes 3 hours to use one gallon

Step-by-step explanation:

Simplify the ratio

3-9

Which simplifies to

1-3

———————————————

A diagonal of a square is 20cm long. How long is each side​

Answers

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:divide

use distributive property to rewrite 8(x+3)

Answers

Answer:

8x + 24

Step-by-step explanation:

1. 8(x + 3) - Distribute

2. 8x + 24 - Answer

8x+24.....................;)


Trains Two trains, Train A and Train B, weigh a total of 508 tons. Train A is heavier than Train B. The
difference of their weights is 440 tons. What is the weight of each train?

Answers

See the picture below

no files please! thanks

Answers

Answer:

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

[tex]2\frac{2}{3}=x[/tex]

Step-by-step explanation:

To solve a system of equations, solve one or both of the equations for the same variable. Then multiply one of the equations such that the coefficients of one variable are the additive inverse of the variable in the other equation. After doing so, add the two equations, then solve for the other variable using inverse operations. Finally, substitute the value of the other variable into one of the original equations in the system and solve for the unknown variable.

2x + y = 3

y = x - 2

First, manipulate the first equation such that the equation is solved for (y), this can be done using inverse operations,

y = 3 - 2x

y = x - 2

Now multiply the second equation by (2) so that the (x) coefficients are additive inverses of each other,

y = 3 - 2x

2y = 2x - 4

Add the equations,

3y = -1

Inverse operations,

3y = -1

/3     /3

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

Now back solve, substitute the value of (y) into the equation and solve for (x),

[tex]y=x-3\\[/tex]

Substitute,

[tex](-\frac{1}{3})=x-3[/tex]

+3

[tex]2\frac{2}{3}=x[/tex]


There are 4 third grade classrooms that share 9 packs of paper. How much paper should each classroom
get?

Answers

Answer:

2.25 packs of paper/ classroom

Step-by-step explanation:

9 packs of paper/ 4 classrooms

9/4

2.25

Each classroom get 2.25 pieces of paper

please help 20 points ​

Answers

She can drive 571.4 miles with 22.8 gallons of gas

A scientist keeps track of bacteria cells. She starts with 1 cell. After one hour, there are 2 cells. The number of cells continues to double in each of the following hours​

Answers

Answer:

the number of cells increases by a factor of 2.

Explanation:

the number of cells doubles with each hour, which means that they are multiplied by 2. thus, the number of cells increases by a factor of 2.

i hope this helps! :D

Answer: The number of cells increases by a factor of 2.

After four hours, the number 2 is used as a factor 4 times.

Step-by-step explanation: The cells multiply by 2, and make double the amount of cells.

The number 2 is used 4 times after 4 hours to make 16 cells.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.

Answers

hhh

Step-by-step explanation:

The answer is 1.5. This is because we know since the shapes are similar you are going from 6 to 9 since they are on the same side. Thus, you have the equation 6y = 9 where y is the scaling factor. Solving for y, you get y=1.5

You ask learners to select their course section number for your survey. For example, (1) 101, (2) 102, (3) 103. What type of variable is course section in this example?

Answers

Answer:

The variable is a nominal categorical variable

Step-by-step explanation:

As the 3 options are available and the survey taker is required to select from these options, this indicates that the variable is of categorical nature, where only a fixed number of options are available. As the order is not important thus the variable is a nominal categorical variable.

NEED HELP ASAP

What type of function is this: y = 4X ?

1:Quadratic

2:Exponential Growth

3:Exponential Decay

4:Linear

Answers

Answer:

Its linear

Step-by-step explanation:

the intercept is 0,0 and the it grows by 4. there is 1,4 2,8 and it goes on and on

please help giving brainliest!

Answers

Answer:

0.20

Step-by-step explanation:

total of marbles

= 6 + 4 + 3 + 2

= 15

the probability of blue

= 3/15 × 100%

= 20%

= 0.20

I Need help fast please answer

Answers

Answer:

Top choice, A.

Step-by-step explanation:

Count the dots

Answer:

its choice A

Step-by-step explanation:

HELPPP ME I WILL MARK GOOD

Answers

Answer:

surface area≈126.65

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·7+5·7+5·7+1

2·﹣54+2·(5·5)2+2·(5·5)2﹣54+2·(5·5)2﹣54≈126.65064

PLEASE HELP
The graph shows the distance Nathan rode his bicycle over a period of time

Answers

Answer:

15 miles an hour

Step-by-step explanation:

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