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4 years ago

If 2/5 kilograms of soil fit into 1/3 of a container, can 1 kilogram fit in the container??

Mathematics

2 answers:

Elodia [21]4 years ago

8 0

In this problem the amount of kilograms you want to fit ( lets call it x ) has a direct variation with the amount of kg of soil it can fit in ( lets cal it y )

If 2/5x = 1/3y
Now we just need to isolate x or y to discover the proportion that relates them :

You can isolate x by multiplying both sides of the equation by 5/2
2/5x(5/2) = 1/3y(5/2)
x = 5/6 y
So what that means is that 1 kg of soil takes 5/6 of the container!
Awnser : Yes it can !

I hope you understood my brief explanation. And please consider marking this awnser as Branliest. Thank you ! :)

Rainbow [258]4 years ago

7 0

Answer : The number of containers fill from 1 kilograms of soil can be, $\frac{5}{6}$

Step-by-step explanation :

As we are given that 2/5 kilograms of soil fills 1/3 of a container. Now we have to determine the number of containers can fill from 1 kilograms of soil.

As, $\frac{2}{5}$ kilograms of soil fills the number of container = $\frac{1}{3}$

So, 1 kilograms of soil fills the number of container = $\frac{1kg}{(\frac{2}{5})kg}\times \frac{1}{3}=\frac{5}{6}$

Therefore, the number of containers fill from 1 kilograms of soil can be, $\frac{5}{6}$

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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

monitta

Answer:

$(x-7)^2+(y-2)^2=34$

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is at (7, 2), h = 7 and k = 2. Substitute:

$(x-7)^2+(y-2)^2=r^2$

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

$(2-7)^2+(5-2)^2=r^2$

Solve for r:

$(-5)^2+(3)^2=r^2$

Simplify. Thus:

$25+9=r^2$

Finally, add:

$r^2=34$

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

$(x-7)^2+(y-2)^2=34$

4 0

3 years ago

The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.

MaRussiya [10]

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where $w$ is the width and $l$ is the length.

The perimeter of a rectangle is twice its length added to twice its width.

$2l+2w=22$

The length is 3 more than the width:

$l = w+3$

We can now substitute in $w+3$ as $l$ in the equation $2l+2w=22$ .

$2(w+3) + 2w = 22$

Distribute the first terms:

$2w+6+2w=22$

Combine like terms:

$4w+6=22$

Subtract 6 from both sides:

$4w=16$

Divide both sides by 4:

$w = 4$

Now we know that w = 4. We can now substitute this inside an equation to find $l$ .

$l = w+3\\\\l = 4+3\\\\l=7$

Hope this helped!

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4 years ago

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liraira [26]

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3 years ago

3 sin(x) + 3 = sin(x)

kumpel [21]

Answer:

no solution

Step-by-step explanation:

3 sin x+3=sin x

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2 sin x=-3

sin x=-3/2

which is impossible as |sin x|≤ 1

8 0

3 years ago

An investment broker puts 1/12 of his paycheck into a retirement account every quarter? How much of his $84,000 salary is put in

Deffense [45]

Answer:

$7000 of his salary is put into his account each quarter.

Step-by-step explanation:

Given:

An investment broker puts 1/12 of his paycheck into a retirement account every quarter.

His salary is $84,000.

Now, to find the amount of his salary put into his account each quarter.

So,to get the amount of his salary:

$\frac{1}{12}\ of\ \$84,000.$

$=\frac{1}{12} \times 84000$

$=\frac{84000}{12}$

$=\$7000.$

Therefore, $7000 of his salary is put into his account each quarter.

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3 years ago