let a,b,c be the three rational numbers where a = 2/3 , n = 4/5 and c = -5/6
verify
(i) a+(b+c)=(a+b) +c ( associative property of addition )
(ii) a×(b×c)=(a×b)×c ( associative property of multiplication ​

Answer:

Junior author = $800

Senior author = $1600

Step-by-step explanation:

The check is split between the senior author and junior author in the ratio of 2:1

2:1 = $2400

Add the ratios together:

2 + 1 = 3

3 parts = $2400

Find one part of the total check by dividing both sides by 3:

1 part = $800

Answer:

C is the correct answer

Step-by-step explanation:

50.6 and 50.600 are mathematically the same thing. Adding zeros at the end of a decimal does not increase its amount in this case.

Answer:

C

Step-by-step explanation:

50.6 is the same as 50.600

Answer:

x = 15

Step-by-step explanation:

Here's an easy way to solve this:

OAP appears to be a right isosceles triangle. Angle O is a right angle, so the other angles are congruent (the same).

180-90 = 90

90÷2 = 45

3x = 45

x = 15

Answer:

9)x=11 y=3

11)x=18 y=5

Step-by-step explanation:

9) 9x+25=13x+19                   13x-19+17y+5=180

   9x+44=13x                         129+17y=180

   44=4x                                 17y=51

   11=x                                     y=3

11) 49+3x=7x-23                    3x=11y-1

Answer:

x=-4

Step-by-step explanation:

2(x+6)=4

2x+12=4

2x=4-12

2x=-8

x=-4

Answer:

x = -4

Step-by-step explanation:

First distribute 2 among everything in the parentheses. So now you'll have 2x + 12 = 4

Next subtract 12 on both sides to get -8.

Lastly divide 2 on both sides to get x = -4

Hope this helps :)

Answer:

$144

Step-by-step explanation:

Length*Width*Price

12*3 = 36

36*4 = 144

$144

Answer:

Step-by-step explanation:

Proper application of the property:

Vinay multiplied 5 and 25 as well, which is incorrect.

Correct answer choice is C.

Answer:

0.75m

Step-by-step explanation:

The volume of a prism is:

the area of the cross section × length

In this case the cross section is the circle so the formula is

v = πr²h

volume = 21m³

height or length = 12m

Sub in the values:

21 = πr² × 12

1.75 = πr² (I divided both sides by 12)

0.5570423008 = r² (I divided both sides by π)

r = 0.74635... (I square rooted both sides)

r ≈ 0.75m (to 2 d.p)

Answer:

Step-by-step explanation:

2.  Should be 500

8.  Should be 290

The rest are correct

Answer:

1. 100 good job

2. 500 round to the nearest hundred either 400 or 500. 500 is closer.

3. 9,000 good job

4. 7,800 good job

5. 250 good job

6. 4,000 good job

7. 6,800 good job

8. 290 round to the nearest 10 either 290 or 300 290 is closer

9. 400 good job

10. 8,000 good job

Step-by-step explanation:

Rounding to the nearest number is up at 5 and below for 4 and less. The same concept applies to larger numbers.

Answer:

f-(-4)=-1

f+4=-1

f+4-4=-1-4

f=-5

Step-by-step explanation:

here is the answer hope it help you

If the perimeter of the rectangular field is 236, the distance covered by the man is 236* 5 = 1180

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{2}=\dfrac{y}{3}\\\\[/tex]

Cross multiply,

3x = 2y    ------------(I)

[tex]\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z[/tex]

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z  ----------------(III)

x + 2y - z = 10

From (I) and (III)

[tex]x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20[/tex]

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y  = 6

z = y

z = 6

All cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.

A cross section in mathematics is the illustration of the intersection of an entity by a plane.

In a cube, all the faces which is parallel or perpendicular to one of the faces are congruent to one another.

So, out of all cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube, are also congruent to one another.

Hence, the cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.

Learn more about cross-sections, click;

https://brainly.com/question/15541891

#SPJ5

Answer:

Step-by-step explanation:

$0.11

per ounce

1.32/12=0.11!!

Answer:   1.21

Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so

0.11 x 11=1.21 ounces            Good luck!

Answer:

27.75$

Step-by-step explanation:

37-----100%

x-------25%

x=(25×37)÷100

x=9.25

total = 37-9.25=27.75

her new total will be 27.75$

Answer:

30%

Step-by-step explanation:

2000-----100%

1400------x%

x=(1400×100)÷2000

X=70%

final we go 100%-70%=30%

Television price reduced for 30%

Answer:

I am not sure but this is what I got

Step-by-step explanation:

1/3, 1/4, 2/5are the fractions. when we find the LCM= 60

the fractions become 20/60, 15/60 and 24/60

add all of them we get 59/60

total = 60/60

total -used part of cake = unused part of cake

60/60 - 59/60 = 1/60

hope it helps :) pls check if there are any mistakes

Answer:

8x + 13y has to be less than or equal to 47.

Step-by-step explanation:

Answer:

ummm?

Step-by-step explanation:

Answer:

Something

Step-by-step explanation:

I have no idea what u just asked

Answer:

0.070

Step-by-step explanation:

i think

Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.

Step-by-step explanation:G

Answer:

$16

Step-by-step explanation:

25% is equal to 1/4.

1/4 of 16 is 4.

so if you subtract 4 from 16, it equals 12.

have a lovely day <3

Answer:

18 games

Step-by-step explanation:

If Sarah's Volleyball team won 12 out of 14 games, then their win rate is 12/14. You can simplify this fraction down to 6/7 to make it easier, but you don't have to.

If they keep the same rate of 6/7 (6 wins for every 7 games they win), you multiply the rate by the total games to get the number of wins. wins/games (rate) x total games = total wins, so 6/7 x 21 = 18.

Answer:

8

Step-by-step explanation:

to be honest tho I don't even know

Answer:

no

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

See the attached graph.  There's no overlap between the two individual solution sets.

Answer:

-4x-1

Step-by-step explanation:

-4x-1

Answer:

Gay Lussac's Law - states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. If you heat a gas you give the molecules more energy so they move faster. This means more impacts on the walls of the container and an increase in the pressure.

Step-by-step explanation: An increase in the number of gas molecules in the same volume container increases pressure. A decrease in container volume increases gas pressure. An increase in temperature of a gas in a rigid container increases the pressure

Answer:

yes I think that temperature makes it hotter or

colder depending on the temperature of it or the surroundings and the pressure I don't honestly don't think it effects them