(a) 3 - 2/3÷4/3 × 7
(b) [(2/3)/(5/6)]-2/5
(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}

Answers

Answer 1

Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

= (9/3 - 2/3) ÷ 28/3

= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

= 1/4

b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

= 4/5 - 2/5

= 2/5

c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

= (- 3/4 + 12/4) ÷ (4/10 - 25/10)

= 9/4 ÷ (- 21/10)

= 9/4 x - 10/21

= - 90/84

= (6 x - 15) / (6 x 14)

= - 15/14.

If you have any doubt, then you can ask me in the comments.


Related Questions

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5

Answers

(-3,0)

Hope this helps

What is the output of y= 2/3x −4 when the input is 18?

Answers

Answer:

output = 8

Step-by-step explanation:

1. To solve for the output of the equation, we plug in the value of the input, 18, and simplify.

Keep in mind that the input is x, and the output is y.

2. (Solving)

[tex]y=\frac{2}{3}(18)-4[/tex] [tex]y = \frac{36}{3}-4[/tex] [tex]y = 12 - 4[/tex] [tex]y = 8[/tex]

Therefore, the output is 8.

An equation is formed when two equal expressions. The output of y= 2/3x −4 when the input is 18 is 8.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The output of y= (2/3)x −4 when the input is 18 are,

y = (2/3)x - 4

y = (2/3)18 - 4

y = 12 - 4

y = 8

Hence, the output of y= 2/3x −4 when the input is 18 is 8.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Help would be appreciated right now

Answers

Answer:

AC = 20.5, CB = 14.5

Step-by-step explanation:

Let X be the distance of AC, and Y be the distance of CB. We can write 2 equations with the given information:

[tex]x=y+6\\x+y=35[/tex]

Now we have a system of equations that we can solve for both variables.

Solve by substitution:

[tex](y+6)+y=35\\2y+6=35\\2y=29\\y=14.5[/tex]

Then the next equation:

[tex]x=14.5+6\\x=20.5[/tex]

x = 20.5, y = 14.5

or

AC = 20.5, CB = 14.5

20.5 is 6 longer than 14.5, and they add up to 35cm, so this is our solution.

how do you convert 56 feet into a decimal please help me pleaseeee

Answers

Answer:

[tex] \: [/tex]

One Square Feet is equivalent to 0.0022956820843815 Decimal.

Hence, to convert Square Feet to Decimal, we just need to multiply the number by 0.0022956820843815.

We are going to use very simple Square Feet to Decimal conversion formula for that.

see the calculation example given below.

Convert 56 Square Feet to Decimal ⇒ 56 Square Feet

= 56 × 0.0022956820843815 = 0.12855819672536 Decimal

Select two numbers that make the inequality true.
1/2x<10

Answers

Answer:

Any numbers below 20

Step-by-step explanation:

1/2x<10

Hope this helps :)

Solve pls brainliest

Answers

Answer:

a)0.085 b)19.6 percent

Step-by-step explanation:

Answer:

a) 0.085

b) 19.6%

Step-by-step explanation:

what is the pattern you notice when dividing 10,100,1000

Answers

Answer:

Step-by-step explanation:

Image result for what is the pattern you notice when dividing 10,100,1000

When dividing by ten, move the decimal point one place to the left. Place value is the value of a digit based on its location in the number. When dividing by 100, move the decimal place two places to the left. And, remember, if there's no decimal point, assume that the decimal falls at the end of the number.

Answer:

when you divide those numbers the place value shifts by 1.

Step-by-step explanation:

1000.0 to 100.00 to 10.000 to 1.0000 to .10000

radius equal to 15 cm what is the circumference of the circle​

Answers

Given:

Radius = 15 cm

To Find:

Circumference of the circle

Let's start.

We know that the formula of Circumference is

[tex] \sf \longmapsto2\pi r[/tex]

Put the values We know that the formula of [tex]\sf\pi[/tex] is 3.14Radius given is 15 centimetre

[tex] \sf \longmapsto \: 2 \times 3.14 \times r[/tex]

[tex] \sf \longmapsto2 \times 3.14 \times( 15 \: cm)[/tex]

[tex] \sf \longmapsto6.28 \times (15 \: cm)[/tex]

[tex] \sf \longmapsto94.2 \: cm[/tex]

[tex] \boxed{\red{\boxed{\sf 94.2 \: cm}}}[/tex]

The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11. 8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet.

Answers

Answer:he correct answers are 10.9 feet and 392.4 square feet.

Step-by-Step explanation:

Answer:

Apothem is 10.9 feet

Area of the gazebo is 392.4 feet

Step-by-step explanation:

Edge

A smart watch was marked 150 and is sold at 120. Find discount percentage​

Answers

Step-by-step explanation:

100 % = 150

1% = 100%/100 = 150/100 = 1.5

the discount was 150 - 120 = 30.

how many percent are in 30 ? that is our discount preventative.

30/1.5 = 20

so, the watch was sold with 20% discount.

6973x63 pls explain how u did it!

Answers

Answer:

4,39299

Step-by-step explanation:

I multiplied 3 x all the numbers in 6,973, then 6 x all the numbers (I added a 0 before I multiplied, then added both the products and got my answer.

This one as well, does anyone know the answer?

Answers

D is the answer to the question

The difference of one half a number x and 3 is 14

Answers

Answer:

x = 36

Step-by-step explanation:

You can write this equation to represent this problem:

[tex]\frac{1}{2}x-3=14[/tex]

Then, just solve for x:

[tex]\frac{1}{2}x=14+3\\\frac{1}{2}x=17\\x=36[/tex]

Drake is an online sales representitve who makes $37,500 per year plus 6.75 for each fee sales he makes. if drake makes an avarage of 200 sales per month what are his annaual earnings?

Answers

Answer:

no hes not hes a rapper..........Jk the answer is 53700

Step-by-step explanation:

Step-by-step explanation:

1,350 a month

16,200 a year

The area of a circle is 88.42cm2. Find the length of the radius rounded to 2 DP.

Answers

Answer:

r=5.31

Step-by-step explanation:

A=π r²

88.42cm²=3.14r².................π =3.14

88.42cm²÷3.14=r²

r²=28.16cm²

r=5.31

please help me answer this question​

Answers

1) The mathematical statements in Set A are linear equations (there's the equal to [=] symbol). The mathematical statements in Set B are linear inequalities (there are inequality signs like <, > etc).

2) Set A (=)

3) Set B (<, > etc.)

_______

Hope it helps ⚜ :))

Community planners are planning to build a new community garden. They agree that the garden will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the length would remain at 15.8 yards but that the width would increase by 5.2 yards. So, the garden would now cover an area of 327.65 square yards.

Which equation can be used to determine the original width of the garden, w?
1: 327.65 = 5.2 (w + 15.8)
2: 327.65 = 15.8(w +5.2)
3: 327.65 = 2 (w +21)​

Answers

Answer:

2)

Step-by-step explanation:

To find the original width, multiply 15.8 by w, and by 5.2.

You'll get 327.65 = 15.8w + 82.16.

Next, do the opposite of the symbol from both sides, 327.65 - 82.16 = 15.8w + 82.16.

The constant is 82.16, and the symbol is +, the opposite of plus is -, and thus subtract the constant from both sides.

You'll get 245.49 = 15.8w.

Now do the opposite of the symbol (a number next to a variable is multiplication, so do division, and divide 15.8 on both sides.

245.49/15.8 = 15.8w/15.8, which equals 15.5373417722.

16. A scuba diver started at sea level and dove 100 feet. The
diver then rose 25 feet. Write and evaluate an expression that
shows the diver's current elevation relative to sea level.
Math

Answers

Answer:

His realation to sea level would be -75 since he would be below the ground/ sea level

Step-by-step explanation:

Pls brainliest

A simple random sample of 30 students was selected from a normally distributed population of high school students. The following confidence intervals were calculated at 90, 95, and 99% confidence levels to estimate the average number of hours of sleep the students got each night. Determine which confidence level goes with each confidence interval. Between 7. 3 and 8. 7 hours of sleep: Between 7. 0 and 9. 0 hours of sleep: Between 7. 2 and 8. 8 hours of sleep:.

Answers

Answer:

between 7.0 and 9.0 hours of sleep

Step-by-step explanation:

got it right

identify the like terms of 3x, chose all the apply
3y
5x
3xy
-2x
3
7y
x

Answers

Answer:

5x, -2x, and x

Step-by-step explanation:

Like terms share the same variable and powers. This means that the options with 'x' as an variable would be the like terms of 3x.

5x , -2x  , and x are like terms because they share the same variable, 'x'.

Hope this helps.

elena gives following sequence of transformation to show that the two figures are similar by transforming ABCD into EFGD. dialte using center D reflect using the line AE is elenas method correct

Answers

Answer:

Elena is incorrect.

Step-by-step explanation:

In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.

If I'm correct, the scale copy should be 2.

∴/therefore, if it doesn't go through point D, Elena is incorrect.

Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯

-❤AbqveNatural❤

What is (2x-7y)^2 simplified

Answers

Answer:

4x² - 28xy + 49y²

Step-by-step explanation:

(2x - 7y)²

= (2x - 7yy)(2x - 7y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x - 7y) - 7y(2x - 7y) ← distribute parenthesis

= 4x² - 14xy - 14xy + 49y² ← collect like terms

= 4x² - 28xy + 49y²

Is ABC" ADEF? If so, identify the similarity postulate or theorem that

applies

15

A. Similar - AA

B. Similar - SAS

C. Similar - SSS

D. Cannot be determined

Answers

here is answer

- BRAINLIEST answerer

The ∆ABC ~ ∆DEF by AA similarity Criteria.

What is Similarity?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Two angles in ∆ABC and their equivalent angles in DEF are congruent.

Hence, it follows that the triangles' third pair of angles would likewise be similar.

So, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

Then here the AA Similarity Criterion will be used.

Thus, ∆ABC ~ ∆DEF by AA Similarity rule.

Learn more about similarity here:

https://brainly.com/question/25502802

#SPJ7

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.

Write the Equation
Equation

X Y
-2 5
-1 3
0 1
1 -1
y=-X+2
y=x+2
y=2x+1
y-2x+1

Answers

Answer:

y=-5×+13

Step1 inter change ×gy

Trigonometry:
Find the value of θ

Answers

Answer:

θ ≈ 50.1°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{61}{95}[/tex] , then

θ = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{95}[/tex] ) ≈ 50.1° ( to the nearest tenth )

Consider the equation 12x - 15y = 70

Solve for x (in terms of y)

Solve for y (in terms of x)


PLEASE HELP MEEEE IM IN A TEST!

Answers

x = (15y+70) / 12

y = (12x-70) / 15

Emilino needs to arrange chairs for a drama club

meeting at his school. There are 30 students coming.

What

are the different ways he can arrange the chairs so that each

row has the same number of chairs?

This is the same as saying "find the factors of 30". There

are 5 different ways.

Answers

Answer:

(1 row & 30 columns) (2 rows & 15 columns) (3 rows & 10 columns) (5 rows & 6 columns) (6 rows & 5 columns)

Step-by-step explanation:

1 * 30 = 30

2 * 15 = 30

3 * 10 = 30

5 * 6 = 30

6 * 5 = 30

Examine the statement.

Rules for naming compounds are beneficial to the scientific community.

Do you agree or disagree with the statement? Be sure to explain the reasons for your viewpoint when you answer.


Furthering the Discussion
If you need more material to continue the conversation, use these questions as a guide.

What types of real-life situations or scenarios do you think benefit from having rules?
What types of real-life situations do you think are hindered by having rules?

Answers

Answer/Explanation:

I agree with the statement because primary function of chemical nomenclature is to ensure that a spoken or written chemical name leaves no ambiguity concerning which chemical compound the name refers to: each chemical name should refer to a single substance.  The first separation of importance is to distinguish between inorganic and organic compounds.

Bruno and Willie need a total of $50,000 to start an accounting business. Bruno has spent a lot of time getting the business set up, so Willie agrees to contribute $12,000 more than Bruno. How much money will Willie contribute?

Answers

The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Let amount contributed by Willie be x

Let amount contributed by Bruno be y

Since Willie agreed to contribute $12,000 more than Bruno;

Therefore;

x - y = 12000....…....... equation (1)

x + y = 50,000...…....... equation (2)

By solving the system of equations simultaneously;

2x = 62000

x = 31000

and y = 50,000 - 31000

y = 19,000

In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Read more:

https://brainly.com/question/23612222

Other Questions
A plane flies due south at 200 mph for 3 hours. If there is a wind of 25 mph blowing duewest during the entire flight, how far did the plane actually travel? Using this chemical stoichiometry, determine the number of moles of carbonic acid that can be produced from 2 mol NaHCO3 and 7 mol HCl. SOLVE FOR f3/5 f = 1 5/7 first permanent french settlement in north america Hiya, I'm writing an essay on "The Tragedy of Julius Caesar" for my honors class! Can someone just proof read this? Does it sound okay?? :)In "The Tragedy of Julius Caesar" the author, William Shakespear, really highlights the perception of morals and how it can affect a society or a specific person. You can see how the idea of morals is used by judging the actions of Brutus, Cassius, Antony, and the rest of the conspirators. William Shakespeare really made for a dramatic betrayal through Brutuss perception of right and wrong, his basic morals. The theme was hit on a lot by using different perceptions and perspectives of this huge event, it was all really about how morals can affect people and the society as a whole depending on how big of a decision.To begin, the theme is seen as the conspirators first approach Brutus with the offer to join them. This starts the debate of morally right and morally wrong. Was it morally right or wrong to kill Caesar? This question was often debated by Brutus. Cassius then proceeds to send Brutus fake letters, leading Brutus to only further debate. Eventually, the decision is made. Brutus comes to the conclusion that it would be morally right to kill Caesar.Brutus was deceived by the conspirators, leading him to believe them. Brutus helps them carry out the assassination because he truly believed that it would be morally right to rid Rome of Casear, having seen that his friend was slowly becoming a tyrant, wanting to dictate Rome, keeping all of Asia under his control wouldnt be hard with such power.Please keep in mind this is due tmr and I'm in an honor class that grades tough :0 PLEASE HURRY!! (No links)Solve the inequality 2 (k 5) < 2k + 2 Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim? A decrease in metabolism without a similar, compensatory decrease in alveolar ventilation will have what effect on the systemic pH Can anyone help me with this one asap? Thanks in advance. this is electricity in physics please help Why is it not good to want something too much"? What does this attitude tell you about Kino and Juana's way of thinking? Because you must want it just enough, and you must be very tactful , with the Gods.THE PEARL CHAPTER 2 PLZ HELP Terry lost 4 pounds over the summer this is for more than half the weight she wanted to lose by December how much does Terry want to lose If you fire Julio from his job after making one mistake but did not fire John for making the same mistake several times, you have committed an error related to which type of justice? Please help! Asap. I suck at this.I need to find y A car speeds up from 8.50 m/s to22.2 m/s in 3.84 s.The acceleration of the car is:A. 20.0 m/s2B. 7.99 m/s2C. 2.72 m/s2D. 3.57 m/s2 Since 2000, people have lived and been active on the space station. The suffix -ive, as in active, means tending to or being likely to. What would someone who is communicative probably enjoy? A. eatinngB. playing C. reading D. talking say abc or d Find the average of the following numbers: 55.1, 67.9, 59.2, 64.1, 61.8, 62.7. Roundyour answer to one decimal place *Your answer How's everyone's day going?**Mods, this is a survey for AP Human Geography** please help me with this! :) Suppose a candy bar weighs 5.47 ounces. How much does a pack of 6 bars weight