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o-na [289]
3 years ago
8

A quantity and its 2/3 are added together and from thesum 1/3 of the sum is subtracted, and 10 remains.What is the quantity?

Mathematics
2 answers:
Dima020 [189]3 years ago
8 0

Answer: the quantity is 9

Step-by-step explanation:

Let x represent the quantity.

A quantity and its 2/3 are added together. The 2/3 of the number is 2/3 × x = 2x/3

The sum of the quantity and its 2/3 would be

x + 2x/3 = (3x + 2x)/3 = 5x/3

From the sum, 1/3 of the sum is subtracted. 1/3 of the sum would be

1/3 × 5x/3 = 5x/9

Subtracting 1/3 of the sum from the sum, it becomes

5x/3 - 5x/9 = (15x - 5x)/9 = 10x/9

If the remainder is 10, it means that

10x/9 = 10

Crossmultiplying

10x = 9 × 10 = 90

x = 90/10

x = 9

musickatia [10]3 years ago
6 0

Answer:

14\frac{1}{3}

Step-by-step explanation:

Let's write this out as an equation. Let the unknown quantity be x:

x+\frac{2}{3} - \frac{1}{3} (x+\frac{2}{3}) = 10\\\\3x+2-x -\frac{2}{3} = 30\\\\9x+6-3x-2=90\\\\6x= 86\\\\x = \frac{86}{6} =\frac{43}{3} =14\frac{1}{3} \\

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Lola dice Argos mi perro tiene 10 kg menos que roco cuantos kilogramos tiene argos
Elena L [17]

Answer:

A=R-10

Step-by-step explanation:

The problem is:

<em>Lola says: Argos, my dog, has 10 kilograms less than Roco. How much kilograms Argos has?</em>

<em />

This problem is about algebraic language. We just need to express the ordinaty language into an equation.

We know the words less means difference. So, let's call A Argos' weight and R Roco's weight. We can expresse the given problem as

A=R-10

Notice that we applied a difference due to the word "less" in the problem.

Therefore, Argo's weight is given by the expression

A=R-10

7 0
3 years ago
How many solutions does the equation below have? 1/(-6-8x) = -3- 1x​
uranmaximum [27]

Answer:

This equation has 2 solutions.

1. x=\frac{-15+\sqrt{89}}{8}

2. x=-\frac{15+\sqrt{89}}{8}

5 0
2 years ago
I need help on my math
shtirl [24]

Answer:

y = -5/4x - 4

Step-by-step explanation:

The equation they give you is in slope intercept form.  y=mx+b.  The m is the slope (-5/4).  Since they want a parallel line you keep the same slope for point slope form.  Point slope formula is y-y1=m(x-x1). the y1 and x1 are where you plug in the coordinates they give you.

y - 1 = -5/4x (x + 4)

y - 1 = -5/4x - 5

y = -5/4x - 4

4 0
3 years ago
The total weight of the golf balls from Julio’s golf bag was 273 grams. If each golf ball weighed 45.5 grams, which graph shows
MariettaO [177]

ANSWER:

A

EXPLAIN:

Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be

273/6=45.5 g

1 ball=45.5 g

2 balls =2*45.5=91 g

3 balls =3*45.5=136.5 g

4 balls=4*45.5=182 g

5 balls =5*45.5=227.5 g

6 balls =6*45.5=273 g

7 0
3 years ago
Jane was given a bag of sweets and ate two-thirds of them right away. The next day she ate two-thirds of the remainder and the f
Wewaii [24]

Answer:

54

Step-by-step explanation:

First you take two and multiply it by three, which gives you 6. Then you multiply it by three and get 18. Then you multiply and get 54.

6 0
3 years ago
Read 2 more answers
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