(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

3 times a Numbers plus 12 is more than 15?

Answers

Answer:

2,3,4,5,6,7,8,9 etc

Step-by-step explanation:

Answer:

3x + 12 > 15

this can be simplified to

x > 1

Step-by-step explanation:

:D

The temperature at 6 am was −3°C. By lunch time the temperature had risen by 5°C. What was the temperature at lunch time?

Answers

Answer:

2°C

Step-by-step explanation:

just add 5 to -3

-3+5=2  

so ur answer is 2

I really really really need help with this please I’ll give brainlist



Roy works in the shipping department of a toy factory that makes radio-controlled helicopters. Small helicopters weigh 1 kilogram each, and are shipped in a container that weighs 6 kilograms. Large ones, on the other hand, weigh 2 kilograms apiece, and are shipped in a container that weighs 5 kilograms. If these boxes can hold a certain number of helicopters each, all of the packed containers will have the same shipping weight. How many helicopters would fit in either container? What would the total weight be

Answers

for the small one there would be six small helicopters and two big ones

and the total weight would be 11 for the two containers like one container of large helicopters and one container of small helicopters

if it's wrong i'm very sorry i'm bad at word problems

what kind of cup that doesn't hold water​

Answers

Step-by-step explanation:

cupcake that doesn't hold the water.

If I’m not mistaken it’s hiccup

Write the expression 83⋅83⋅83⋅83⋅83⋅83 as a power.Enter your answer by filling in the boxes.$$

Answers

Answer:

It's (8/3) 6  I took the test and that was the answer. Your Welcome!!!!!!!!!!!!!

Answer:

Its 83 the power of 6. Also Please choose my anwer as brainliest

To make five dinners 1/3 cup of flour is used how many cups of flour are needed to make 3 dozen dinner rolls

Answers

Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

a tv was sold at 9% profit with cost price rs 18000 calculate the sale price of tv

Answers

Answer:

the sale price of tv is 1620

Step-by-step explanation:

9/100 because full percentage is from 100%

9/100 x 18000

cut 00 from 18000

we will cut it because 100 also have two 0 and 18000 we will cut two 0

next it will be = 9/1 x 180 one is nothing no so it will be

9 x180 answer = 620

plz mark me as brainliest

1.
Prove that AMNO is congruent to AXYZ using triangle congruency theorems.
M
Given: ZMLX
2N =zY
YO NZ
Prove: AMNO = AXYZ
Z
I

Answers

Answer:

yes they are

Step-by-step explanation:

they are both congruent because they are the same shape and size, they are just on opposite sides

(congruent means that 2 objects are the same shape and size)

Answer:

yes they are

Step-by-step explanation:

What is the idea of factoring by grouping?

Answers

Answer:

When factoring by grouping also called factoring in pairs, we should split the expression into two pairs that have something in common. The idea is that after we factor each pair, we get a binomial common factor.

Step-by-step explanation:

When factoring by grouping also called castor

What is the equation in slope intercept form of the line that passes through the points (2,7) and (4,10)?

Answers

Answer:

y = 3/2x + 4

Step-by-step explanation:

First, you find the slope(y1 - y2/x1 - x2) which you can subsitute to 10 - 7/4-2, which will get you 3/2 and you put that in the place of the slope (m). So now our equation is y=3/2x+ y-int, to find the y intercept, there is a method which you can use to find it is to time the x point in a set by the slope, and minus it using the y to find the y intercept. In this case, you time the 2 by 3/2, which will get you 3, and minus it by the y that is 7, and you will get 4

2. The number of gallons y a pool drains in x minutes is represented by the function y = 20x. The table shows the time it takes to fill up a pool. Determine whether the function is proportional or non-proportional. Explain.​

Answers

Answer:

Yes, it is proportional because the number of gallons filled is always 15 times the number of minutes.

13.065
-0.07
_________

Answers

Answer:

12.995

Step-by-step explanation:

HELP PLS!!!!!!
How many oranges can you make by just using 3 straight cuts? (a) 3 (b) 6 (c) 7 (d) 8

Answers

Answer:

D will be the answer

Step-by-step explanation:

You could cut the orange into four pieces by using 2 straight cuts/making an x on the orange. Then you could flip the orange onto the side/middle and cut again to make 8 pieces.

Hope this works for you!

6 you can make 6 orange slices

Can anyone help me? asap if possible

Answers

Answer:

B) CD

Step-by-step explanation:

Perpendicular means a line that bisects the other at 90°.

In this case, you are trying to find a perpendicular line to line BC, which can be two choices, AB & DC.

In this case, B) CD is your answer, as it is the only one that shows up (AB does not).

~

Answer:

segment CD

Step-by-step explanation:

Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.

Hope it help and if it its correct please give brainliest  

Stay Safe and healthy

Thank You

If mCA = 50° and mER = 40⁰, what is the m∆CSA ?​

Answers

Answer:

45°

Step-by-step explanation:

Given:

mCA = 50° mER = 40⁰

Angle formed by intersecting chords is the half the sum of arc measures formed by same chords:

m∠CSA = m∠ESR = 1/2(mCA + mER) = 1/2(50° + 40°) = 45°

can someone pls help me with this

Answers

Answer:

were is the qn?

Step-by-step explanation:

Can someone help me pls!? Question 5 (Essay Worth 5 points) Determine the answer to (-5) + 4 and explain the steps using a number line​

Answers

Answer:

-5+4= -1

Step-by-step explanation:

On a number line, look at -5, then add 4 to that, aka moving it up 4 places. -1 would be where it ends up.

DUE BY 11:59 PM!!

HELP GREATLY APPRECIATED!!​

Answers

Answer:

Step-by-step explanation:

1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.

2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.

3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.

4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.

Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)

7x + 2y = -7
11x + 5y = 2

Answers

Answer:

x=−3 and y=7

Step-by-step explanation Solve: 7x+2y=−7for x:

7x+2y=−7

7x+2y+−2y=−7+−2y(Add -2y to both sides)

7x=−2y−7

7x

7

=

−2y−7

7

(Divide both sides by 7)

x=

−2

7

y−1

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

−2

7

y−1forxin11x+5y=2:

11x+5y=2

11(

−2

7

y−1)+5y=2

13

7

y−11=2(Simplify both sides of the equation)

13

7

y−11+11=2+11(Add 11 to both sides)

13

7

y=13

13

7

y

13

7

=

13

13

7

(Divide both sides by 13/7)

y=7

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

Substitute7foryinx=

−2

7

y−1:

x=

−2

7

y−1

x=

−2

7

(7)−1

x=−3(Simplify both sides of the equation)

HELP! SOMEONE!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.

∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?

DE = ______ m∠E = ________

THANK YOU!

Answers

Answers:

DE = 24 inchesm∠E = 22°

=================================================

Explanation:

The diagram is below.

Draw two triangles that are identical copies of each other. This is exactly what the term "congruent" means. Congruent items are identical items.

The order is very important when it comes to figuring out congruent triangles. Triangle ABC has A first, B next, C last. For triangle DEF, we have D first, E next, F last.

This means we have this pairing:

A pairs with DB pairs with EC pairs with F

Because the triangles are congruent, we know that:

angle A = angle Dangle B = angle Eangle C = angle F

So if we could find out angle B, then we automatically will find out angle E as well.

Use the idea that for any triangle, the angles always add to 180

A+B+C = 180

34+B+124 = 180

B+158 = 180

B = 180-158

B = 22

Angle B is 22 degrees, and so is angle E.

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

Everything in the previous section handled how to find angle E.

In this section, we'll find how long side DE is.

Since the angles pair up in the way mentioned earlier, we can further extend that idea to have these three pairs

side AB pairs with side DEside BC pairs with side EFside AC pairs with side DF

The pairs are formed directly based on how the angles pair up. For instance, AB and DE are both the first two letters of ABC and DEF respectively. In the diagram, AB and DE are both the left slanted side. However, the diagram can sometimes be misleading because it's perfectly possible to rotate triangle DEF to not have it line up with ABC. I drew the diagram to help make the pairings as clear as possible.

Anyways, we have AB pair up with DE. Both of those pieces must be congruent if we want the overall triangles to be identical. We're told that AB = 24, which means DE = 24.

Using the formula find the slope of a line with these two points (2,10) and (5,15).

Answers

Answer:

1.66667

Step-by-step explanation:

using online slope calculater

IM FAILLING PLZ HELPPPPP MEEEE

Answers

Answer: (x+ 13, y+13)

Step-by-step explanation:

A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place, how many times greater would the value of the 2 be?

The value of the 2 would be ____ times greater

Answers

Answer:

10?

Step-by-step explanation:

it is either 10x or 100x :)) can i get brainliest? hope ur having a good day btw :DD

The place value of 2 will be 100 times greater than before.

What is place value?

Place value is a numerical value that every digit in a number has based on its position.

For example; in a number 2398, the place value of 3 is 300, as it is placed at hundredth place.

Given that, A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place,

At tens place, the value of a number will multiplied by 10 as it is at tenth place,

At tens place = 20

Similarly,

At thousand place, the value of a number will multiplied by 100 as it is at thousand place,

At thousand place = 2000

2000 / 20 = 100

Hence, the value of 2 will be 100 times greater than before.

For more references on place value, click;

https://brainly.com/question/27734142

#SPJ2

9. Using a twenty sided number cube, what is the probability that you will roll an even number or
an odd prime number? The number 1 isn't an odd prime. Round to three decimals.
(1 point)

Answers

Answer:

0.85

Step-by-step explanation:

total samples cases = 20

chances that are even or odd prime are 17 chances

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20

probability = 17/20

= 0.85

can someone PLEASE tell me the answer to this?

Show your work and explain please :D

Answers

Answer:

6ft: 25.667ft   /   7ft: 22ft

Step-by-step explanation:

Since the question shows 7ft but the diagram shows 6ft I will show how to do both

FOR 6FT

Justin's height remained the same at 5'6" (or 5.5ft) and the distance between him and the mirror was 6ft

Now if we assume the triangles are congruent to each other, then set sides A and C equal to each other and solve for x

6/28 = 5.5/x

6x = 154

x = 25.667ft

FOR 7FT

Same process as before, replace 6 with 7

7/28 = 5.5/x

7x = 154

x = 22ft

if a temperature is 2 celcious and falls by 7 celcious what is your new temperature

Answers

-5°C or negative 5 degrees Celsius

Answer:

-5°C

Step-by-step explanation:

if you want to subtract a smaller number from a bigger number you can consider the number line attached below. I have marked 2 and -5 with blue ink.

When you use a number line, firstly see where your first number lies on the number line, in this case 2 is your first number. If you have to subtract a number, you have to move left and if you have to add a number you have to move right on the number line.

As you have to subtract 7 from 2, move 7 spaces to the left counting zero as a number. If you count 7 spaces to the left, it will end at -5.

So your answer is -5°C.

Hope this helps!!

Find all values of j for which the quadratic equation has one real solution.
3x² + 5x-j=0
Write your answer as an equality or inequality in terms of j.

Answers

Answer:

x = (-5+/- √(25 + 12j))/6

Step-by-step explanation:

The solution to this question requires the application of quadratic formula

Sam is 4 years younger than Linda. The sum of their ages is 28. Find both Sam and Linda’s age and show your work.

Answers

Answer:

Sam = 6 years

Linda = 22 years

Step-by-step explanation:

this is best solved by using an algebraic equation

let Sam's age be x

let Linda's age be 4x

now that we defines our variables let's make an algebraic equation

the sum of their ages is 28 so

4x + x = 28

combine like terms

5x = 28

find for x

x = 28÷ 5 = 5.6 (don't approximate yet let's take the raw age)

Sam is 5.6 years

Linda is 4 years older so we multiply Sam's age by 4

4 × 5.6 = 22.4

Linda is 22.4 years

now let's round our answers to the nearest whole

5.6 ~ 6 years

22.4 ~ 22 years

let's double check and add our answers now

22 + 6 = 28

the answer is correct

A Science book has 428 pages, of which 47% are on biology, 28% on Chemistry and the remainder on Physics. How many pages on Physics are there?

Answers

Answer:

107 pages.

Step-by-step explanation:

100 - 47 - 28 = 25% are on Physics.

Number of pages on physics = 0.25 * 428

= 107.

Answer:

There are 107 pages devoted to physics.

Step-by-step explanation:

The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);

the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is

201 + 120, or 321.

Subtracting this subtotal from the book's 428 pages yields 107.

There are 107 pages devoted to physics.

2x+5+2x+3x in One sloution, and no solution.

Answers

[tex]2x + 5 + 2x + 3x \\ = 7x + 5[/tex]

- BRAINLIEST answerer

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