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3 years ago

If y varies inversely with 2.5x, and y=5.6 and x=30, write an equation to represent this relationship

1 answer:

3 0

Let the constant of variation be c.
We are given that y varies inversely with 2.5x, this means that:
y = (c) / (2.5x)
This can be written as:
2.5xy = c

Now, we a re given that y = 5.6 at x = 30.
Substitute with these values in the equation to get the value of c as follows:
2.5xy = c
2.5(30)(5.6) = c
c = 420

Therefore, the equation that describes the relation is:
2.5xy = 420

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a rectangular room is twice as long as its breadth and its peimeter is 540 m. find the number of bricks of size 20 cm ×12cm to p

balu736 [363]

Answer:

Step-by-step explanation:

breadth = x

length = 2x

Perimeter = 540m

2*( length + breadth ) = 540

2 *(2x + x) = 540

3x = 540/2

3x = 270

x = 270/3

x = 90 m

Breadth = 90m = 90 *100 = 9000 cm

Length = 2*90 = 180 m = 180 * 100 = 18000 cm

No.of bricks = Area of room/ area of one brick

= 9000 * 18000 / 20 * 12

= 675000 bricks

6 0

2 years ago

Solve the following equation : 7x/15-1=22

miskamm [114]

$\frac{7x}{15-1} =22$
-----------------
To solve this all it takes is two simple steps
Simplify $\frac{7x}{15-1} =22$
1/2x =22
------------------------
Multiply both sides by 2
2 · $\frac{1}{2}$ = 2 · 22
x = 44

6 0

2 years ago

Read 2 more answers

61 ones×<br> 10<br> <br> 1<br> = ?

Vitek1552 [10]

The answer is 6161 your welcome

6 0

3 years ago

Read 2 more answers

A family plans to have 3 children. For each birth, assume that the probability of having a boy is the same as the probability of

Rzqust [24]

Answer:

1/2

Step-by-step explanation:

50-50 chance they will have a boy each time, 50-50 chance they will have a girl each time

3 0

2 years ago

Find the discriminant of the following quadratic equation<br> x^-5x+3=0

nika2105 [10]

The discriminant of the given quadratic equation as in the task content can be evaluated by means of the formula; D = b²-4ac and it's value is; 13.

<h3>What is the discriminant of the quadratic equation as given in the task content?</h3>

According to the task content, it follows that the quadratic equation whose discriminant is to be determined is; x²-5x+3=0.

By comparison with the standard form equation of a quadratic graph which goes thus; ax²+bx +c = 0, in which case, the determinant is given by the expression; b² - 4ac.

We can consequently evaluate the determinant of the quadratic equation in discuss as follows;

Determinant = b² -4ac = (-5)² - (4×1×3) = 25 - 12

Hence, the determinant in this case is; 13.