a weights m kg,b weight is 20 kg less than three times that of a. If their total weight is 100 kg. Find the weight of a​

Answers

Answer 1

Answer:

30kg

Step-by-step explanation:

what we know is that 3a - 20kg is b. and if a + 3a -20kg = 100kg, it becomes algebra .

So, we move it over to the sides:

4a = 120kg

(here i moved -20kg to the 100kg and did the reverse. I also added the a's)

which means a = 120kg divided by 4

a = 30kg


Related Questions

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Stella is recording temperatures every day for 5 days. On the first day, Stella recorded a temperature of 0 °F.
a. On the second day, the temperature was 3 °F above the temperature on the first day.
What was the temperature on the second day?
b. On the third day, it was 4 °F below the temperature of the first day. What was the temperature?
c. The temperature on the fourth day was the opposite of the temperature on the second day. What was the temperature?

d. The temperature on the 5th day was the absolute value of the temperature on the 4th day. What was the temperature?
e. Write the temperatures in order from least to greatest.
f. What is the difference in temperature between the coldest day and the warmest day?

Answers

Answer:

a: 3°

b: -4°

c: -3°

d: 3°

e: -4°,-3°,0°,3°,3°

f: 7

Please help !!!!!!!!

Answers

Answer:

A=$12451.67474

Step-by-step explanation:

A=$12000{(1+3/100)^¼)}^4

A=$12451.67474

plzzzz help with this

Answers

Answer:

0.125

Step-by-step explanation:

2/16 = 1/8 = 0.125

I need help with this question please?! I'm having a hard time answering it!

Answers

Answer:

£0.40

Step-by-step explanation:

Divide £40 by £3.30 to find the number she can buy

£40 ÷ £3.30 = 12.1212..

That is she can buy 12 light bulbs

cost = 12 × £3.30 = £39.60

change = £40 - £39.60 = £0.40

A number t multiplied by -4 is at least - 2/4

Answers

-4t> -2/4
Turn sign because dividing negative
4t<-1/2
-4/2
T<-2

Find ab and bc in the situation above

Answers

Answer:

So we know that 5x+10 and x +16 should give us 56. So let's combine the like terms.

1) 6x+26=56

Now lets solve for x.

2) 6x=30

   x=5

3) To solve for AB and BC we will plug in the value of x.

AB= (5) + 16= 21

BC= 5(5)+10= 35

You can also double check the right answer by checking whether 21+35 = 56, and in this case it does.

What are the roots of x in -10xsquare+12-9=0

Answers

Answer:

[tex]x=\pm \sqrt{\frac{3}{10}}[/tex]

Step-by-step explanation:

[tex]-10x^2+12-9=0\\\\-10x^2+3=0\\\\-10x^2=-3\\\\x^2=\frac{-3}{-10}\\\\x^2=\frac{3}{10}\\\\[/tex]

here we have to cases

case 1

[tex]x=\sqrt{\frac{3}{10}}\\[/tex]

case 2

[tex]x=-\sqrt{\frac{3}{10}}[/tex]

Given:

Consider the given equation is

[tex]-10x^2+12x-9=0[/tex]

To find:

The roots of x in the given equation.

Solution:

We have,

[tex]-10x^2+12x-9=0[/tex]

On comparing this equation with [tex]ax^2+bx+c=0[/tex], we get

[tex]a=-10,b=12,c=-9[/tex]

Using quadratic formula, we get

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-10)(-9)}}{2(-10)}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{144-360}}{-20}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{-216}}{-20}[/tex]

We know that, [tex]\sqrt{-1}=i[/tex].

[tex]x=\dfrac{-12\pm 6\sqrt{6}i}{-20}[/tex]

[tex]x=\dfrac{-2(6\mp 3\sqrt{6}i)}{-20}[/tex]

[tex]x=\dfrac{6\mp 3\sqrt{6}i}{10}[/tex]

[tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex]

Therefore, the roots of the given equation are [tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex].

PLEASE HELP. WILL MARK BRAINLIEST IF CORRECT

Answers

9514 1404 393

Answer:

  (b)  Congruent Figures

Step-by-step explanation:

Reflections, rotations, and translations are called "rigid transformations" because they do not change the size or shape of the figure. The image is always congruent to the original.

On the other hand, dilations change the size of the figure, so the image is not congruent with the original.

Rigid transformations result in congruent figures.

Which set of numbers forms a Pythagorean triple?
1, 2 , 4
6, 7 , 13
3 ,4 , 5
8, 15 , 20

Answers

Answer:

3, 4, 5

Step-by-step explanation:

3 ^2 = 9

4 ^2 = 16

5 ^2 = 25

9 + 16 = 25

Which of the following phrases are equations? Choose 2 answers:
A) 5 = 3m
B) n>|-8|
C) 2 + 6 = (5 - 1). 2
D) 8. (k + 6)
E) 0 < 4+p​

Answers

Answer:

the answers are Band C

Step-by-step explanation:

B. using the number line n greater than -8

C.8=4.2

8=8

can someone help me with this please ill give brainest

Answers

Answer:

Step-by-step explanation:

                                           Justifications

-2(x + 6) < 3(x + 1)                   Given

-2x - 12 < 3x + 3                     Distributive property

-2x < 3x + 15                          Addition property of Order

-5x < 15                                  Subtraction property of Order

x > 3                                       Division property of Order

What is the value of x ?

Answers

I believe the answer is d hope this helps

Answer:

I think the value of x =50

WRITE IN ALGEBRIC EXPRESSION
c) Subtract 3times of k from 25

Answers

K=22
Hope this helps.

PLEASE HELP FAST!! and also please show your work!!

Answers

Answer:

a

Step-by-step explanation:

w+3=-4*3

or,w+3=-12

or,w=-12-3

w=-15

Evaluate the following expression when x=2 and y= 3.6
5y2 + 3x

Answers

Answer:

Step-by-step explanation:

can someone please help me​

Answers

Answer: 14 units?

Step-by-step explanation: Sorry if its wrong.....

So far in math you have taken 10 quizzes this semester. The mean of the scores is 88.5 what is the sum

Answers

Answer:

Use M a t h w a y it helps. Trust me.

The sum of scores in quizzes of math is [tex]\boldsymbol{885}[/tex].

"To understand the calculation, check below."

What is mean?

Mean is calculated by dividing sum of all the observations by number of observations.

For a data collection containing numbers that are close together, the mean is the best option.

Total number of quizzes in math [tex]=10[/tex]

Mean scores [tex]=88.5[/tex]

Therefore,

Sum of all scores [tex]=10 \times 88.5[/tex] [tex]=\boldsymbol{885}[/tex]

Find out more information about mean here:

https://brainly.com/question/1363341?referrer=searchResults

HAPPYface if the given ordered pair is a solution to the system and a SAD faceof not.

PLEASE ANSWER

Answers

Answer:

Step-by-step explanation:

1)  :)

2) :(

3) :(

4) :(

5) :)

daisy mixes 50ml of orange juice with 200ml of water. Write down the ratio of Orange Juice to Water. Give your answer in simplest form

Answers

Answer:

1:4

Step-by-step explanation:

Given

Volume of orange juice = 50ml

Volume of water = 200mL

Required

Ratio of volume of orange juice to water

Ratio = volume of orange juice/volume of water

Ratio =50mL/200mL

Ratio =5/20

Ratio =1/4 or 1:4

Hence the required ratio is 1:4

Which expression can be used to find 12 percent of $98? 12 times 98 0.12 times 98 dollars StartFraction 1 Over 12 EndFraction times 98 dollars StartFraction 1 Over 0.12 EndFraction times 98 dollars

Answers

Answer:

0.12 times 98

Step-by-step explanation:

100×0.12=12, which is 12% of 100

Answer:

0.12 times 98 dollars

Step-by-step explanation:

i took the test

Write 0.09 as a fraction.


A) 1/11

B) 1/7

C) 1/99

D) 1/9

Answers


D 1/9 would be the answer

Answer would most likley be A i think because 1/11 is 0.0909090909091

What is the solution?

Answers

Answer:

that

Step-by-step explanation:

that is the solution

Answer:

(1,-1)

Step-by-step explanation:

it's the point of intersection

hope this helps, pls mark brainliest :D

Boskyville is planting tree along both sides of its streets.The trees will be planted 50 feet apart. the first tree on the block must stand 20 feet from the corner. if the blocks in boskyville are 390 feet long, how many trees will be planted along one block?

A.14 trees
B. 16 trees
C. 8 trees
D. 7 trees

Answers

Answer:

7 trees will be planted along one block.

Therefore, option D is the correct choice.

Step-by-step explanation:

The length of the block in boskyville = 390 feet

The condition is that the first tree on the block must stand 20 feet from the corner.

So subtract 20 feet from the length of the block in boskyville.

i.e  390 feet - 20 feet = 370 feet

Given the trees will be planted 50 feet apart.

Thus, divide the 370 feet by 50 feet would bring us the total number of trees being planted along one block

i.e.

Trees along one block = 370 / 50

                                      = 7 (Rounded to the whole number)

Thus, 7 trees will be planted along one block.

Therefore, option D is the correct choice.

Please hurry final examm i need help

Answers

Answer:

72

Step-by-step explanation:

Multiply 72 by .75 and you get 54

A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns Write an equation that shows the relationship between n, the number of supervisors, and u, the number of baby unicorns. Please note that this is a magical daycare center, so fractional supervisors are allowed.​

Answers

Answer: The number of supervisors are 9 times the number of unicorns.

Step-by-step explanation:

Let the number of supervisors be 'n'.

Let the number of unicorns be 'u'.

According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.

So, Mathematically, it is expressed as

so, we established the relationship between the number of supervisors and number of unicorns.

Hence, the number of unicorns are 9 times the number of supervisors.

help please asap!!!!!

Answers

Answer:

-0.9 gallons per minute

Step-by-step explanation:

Cone W has a radius of 10 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W.

Paul and Manuel disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why?

Answers

Answer:

The answer is C.

Step-by-step explanation:

I took the test and got it right

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A thick or empty device with an approximately round or elliptical base that tapers to a notch is known as a cone.

Cone W has a radius of 6 cm and a height of 5 cm.

The base area of the cone will be

A = πr²

A = π (6)²

A = 113.04 square cm

Then the volume of the cone will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Square pyramid X has the same base area and height as cone W.

Then the volume of the square pyramid will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X.

Then the correct option is C.

The question was incomplete, but the complete question is attached below.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Today, everything at a store is on sale.The store offers a 20% discount. If the regular price of an item is x dollars, write an equation and find the regular price of a hat that has been discounted to $18

Answers

Answer:

$22.50

Step-by-step explanation:

James earns $2.20 less than twice gregs hourly wage. If james earns $16.50 per
hour, what is gregs hourly wage ?

Answers

Answer:

James earns $2.20 less than twice Greg's hourly wage. If. James earns $16.50 per hour, what is Greg's hourly wage? let x= Grea's hourly wage. 2x-2.20-James' hourly wage. 2x-2.20=16.50. 2x=16.50+2.20. 2x= 18.70.

If James earns $2.20 less than twice gregs hourly wage.If james earns $16.50 per hour, then gregs hourly wage is  $9.35

What is equation?

Two or more expressions with an equal symbol operator is called equation.

Given that james earns $16.50 per hour,

and James earns $2.20 less than twice gregs hourly wage.

let x= Grea's hourly wage.

James earns $2.20 less than twice gregs hourly wage by data.

2x-2.20=James' hourly wage.

2x-2.20=16.50.

2x=16.50+2.20.

2x= 18.70.

Divide by 2 on both sides

x=9.35

Hence gregs hourly wage is $9.35.

To learn more on Equations click:

https://brainly.com/question/10413253

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Which equation represents the line that is perpendicular to y=3 and passes througn (-2, -8)

Answers

For two lines to be perpendicular, their gradients must multiply together to get -1

3*B=-1

the gradient of B is -1/3

y-y1=m(x-x1)

y+8= -1/3(x+2)

y+8= -1/3x-2/3

y=-1/3x-26/3

So, y=-1/3x-26/3 is the equation of the line

Step-by-step explanation:

y = 3 is a horizontal line. A line that is perpendicular would be a vertical line. (x = a)

Since it passes through (-2, -8) with x-value of -2,

the line equation is x = -2.

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