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If BY = 6, YC = 10, AX = 18, then XC = a: 10.8 b:5 c:30 d:48

vampirchik [111]

To answer this item, we assume that the topic is in similar polygons such that the ratio of the corresponding sides should be equal. In this item,

BY/YC = AX/XC

Substituting the known values,

6/10 = 18/XC

The value of XC from the equation is 30. The answer is letter C.

3 0

3 years ago

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Sam shot the basketball 15 times. 40% of his shots were made. How many shots did Sam make?

love history [14]

Answer:

6

Step-by-step explanation:

40% is equal to 40/100

He made 40% of 15 shots so you miltiply 15 by 40/100 which is equal to 6.

6 0

2 years ago

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In order to solve for x in the equation 3x - 18 = 78, What is the FIRST step?

anygoal [31]

Answer:

add 18 to both sides, giving you 3x = 96

6 0

3 years ago

The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle

ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use w to represent the width, the length will be 6 more than 2 times w.

Hence, the length is $2w+6$ .

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

$A=w(2w+6)$

We can also substitute 40 in for A as it's given in the question.

$40 = w(2w+6)$

Distributing w by multiplying it by both terms in the parentheses, we get

$40 = 2w^2+6w$

We can make the equation simpler by dividing both sides by 2.

$20 = w^2+3w$

Subtracting both sides by 20 will make the left-hand side 0.

$0=w^2+3w-20$

Now that we have put this quadratic equation into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

$w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}$

$w= \frac{-3\pm\sqrt{9+80}}{2}$

$w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}$

Since the second solution results in a negative number, it cannot be the length of w.

$w=\frac{-3+\sqrt{89}}{2}\approx3.217$

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

$l=2(3.217)+6$

$l=12.434$

The length of this rectangle is 12.434 cm.

6 0

1 year ago

Jeffrey is using a copy machine to make posters for a school play. The machine prints the posters at a constant rate. After 3 mi

jasenka [17]

Answer:

B: 11 minutes.

Step-by-step explanation:

So, we know that the machine prints at a constant rate.

After 3 minutes, the machine prints 108 posters.

So, let’s find the unit rate. We will divide the output over the input. So:

$108\text{ posters}/3\text{ minutes}=36\text{ posters/min}$

So, the unit rate of the machine is 36 posters per minute.

We can write an equation. If t represent the number of minutes and p represent the amount of posters, then:

$p=36t$

Gives the amount of posters p and t minutes.

We want to know how long it will take Jeffrey to make 396 posters.

So, we can substitute 396 for p and solve for t. Hence:

$396=36t$

Divide both sides by 36:

$t=11$

Therefore, it will take Jeffrey 11 minutes to make 396 posters.

7 0

2 years ago