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4 years ago

K/6 = 15/18 Solve the proportion

Mathematics

2 answers:

Ilya [14]4 years ago

8 0

Answer:

k = 5

Step-by-step explanation:

Step 1: Cross multiply

k/6 = 15/18

k(18) = 6(15)

18k = 90

Step 2: Divide both sides by 18

18k / 18 = 90 / 18

k = 5

Answer: k = 5

Another way to do it is to multiply both sides by 6

k/6 * 6 = 15/18 * 6

k = 90 / 18

k = 5

muminat4 years ago

7 0

Answer: 5

Step-by-step explanation: To solve for k in the given proportion, we use the means-extremes property. The product of the extremes, (k)(18), equals the product of the means, (6)(15).

So we have (k)(18) or 18k = (6)(15) or 90.

Now we have the equation 18k = 90.

Dividing both sides by 18, k = 5.

It's a good idea to check the answer in these types of problems so if we plug a 5 back in for k in the original proportion, we have $\frac{(5)}{6}= \frac{15}{18}$ which is a true statement since 15/18 reduces to 5/6.

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MakcuM [25]

Answer:

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3 years ago

The backyard of a house is a square whose area is 900 square meters. How much fencing is needed to enclose the yard?

svetlana [45]

hello!

so area of a square is calculated by this equation

s^2 = a

which means if you multiply two sides together you get the area

what you want to do now is to find a side of the square

plug in the 900 square meters

s^2 = 900

square root both sides to isoate the variable

s = 30 meters

this means that one side is 30 meters

since it is a SQUARE all four sides are equal

just multiply 30 by 4 and that will get the amount of fencing you'll need

30*4 = 1200 meters

you will need 1200 meters of fencing

WAIT

there is a possibility that one side of the house has already enclosed one side of the fence

so if that's the deal then

30*3 = 900meters

IF ONE SIDE OF THE HOUSE IS ALREADY ENLCOSING ONCE SIDE THEN YOU WILL NEED 900 meters of fencing.

4 0

4 years ago

Which ratio represents the tangent of an angle?

azamat

Answer:

option d.opposite / adjacent

Step-by-step explanation:

opposite /adjacent ratio represents the tangent of an angle .

hope it is helpful to you ☺️

3 0

3 years ago

Read 2 more answers

A line has an x-intercept of 4 and a y-intercept of -2 what is the equation of the line

jekas [21]

Answer:

y=2x -1

Step-by-step explanation:

Finding x-intercepts and y-intercepts

1-To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

2-To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

3-To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

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3 years ago

A student concluded that the inequality −3+2y≤4x is equivalent to the inequality y≥2x+32, as shown below. Describe and correct t

timofeeve [1]

Answer:

$-3 +2y \leq 4x$

$2y \leq 4x+3$

$y \leq 2x + \frac{3}{2}$

And that's different from the claim of the student that:

$y \geq 2x +\frac{3}{2}$

The error of the student is that he/she changes the sign of the inequality from $\leq$ to $\geq$ and that's not possible since we don't multiply both sides of the equation by -1

Step-by-step explanation:

For this case we have the following inequality:

$-3 +2y \leq 4x$

We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:

$2y \leq 4x+3$

Now we can divide both sides of the inequality by 2 and we got:

$y \leq 2x + \frac{3}{2}$

And that's different from the claim of the student that:

$y \geq 2x +\frac{3}{2}$

The error of the student is that he/she changes the sign of the inequality from $\leq$ to $\geq$ and that's not possible since we don't multiply both sides of the equation by -1

5 0

3 years ago