Hi.i need help with this.i will apreciate the answer:)))

(1 point) Mike and Lisa are brother and sister. Mike has as many brothers as sisters, and Lisa has three times as many brothers

Elza [17]

Answer:

Step-by-step explanation:

Given that Mike and Lisa are brother and sister. Mike has as many brothers as sisters, and Lisa has three times as many brothers as sisters

i.e. If Mike has x sisters, then he has x brothers.

i.e. no of sons in total = x+1 (including Mike)

No of daughters = x

Lisa's brothers = x+1 and and Lisa sisters = x-1 (exclusing Lisa)

Given that

$x+1 =3(x-1)\\2x =4\\x=2$

Hence we find that there are 3 sons and two daughters in the family.

3 0

4 years ago

The base of a solid is the region in the first quadrant bounded by the line x=-2y+6 and the coordinate axes. What is the volume

nika2105 [10]

Answer:

$V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3$

$V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36$

Step-by-step explanation:

For this case we have the following plot on the figure attached.

We know on this case that $x = -2y+6$ represent our radius for the square, since we need cross sections perpendicular to the y axis.

We find the intersection points like this:

$x= 0 , y=3$

$y=0, x=6$

Since we are assuming squares for the cross sections the area is given by $A = r^2$ where r = x= -2y+6.

Since our radius is on terms of x we can create a integral with limits on x in order to find the volume, And we can use the following integral in order to find the volume.

$V = \int_{0}^3 (-2y+6)^2 = \int_{0}^3 4y^2 -24y +36 dy$

On the left part we are using the following property from algebra:

$(a+b)^2 = a^2 +2ab +b^2$

$(-2y+6)^2 = (-2y)^2 +2*(-2y)(6) +(6)^2 = 4y^2 -24y+36$

And after do the integral we got this:

$V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3$

$V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36$

7 0

3 years ago

The number of chorus students increase by a factor of 1.2 from the previous year. Write 1.2 as a percent

Leona [35]

Since the percent sign has 2 zeros:% then that means to convert a decimal to a percent,move the decimals to the right 2 spaces.Now,1.2 should look like this:120. You add the zero because that space is worth nothing,but it is used for the spaces.

3 0

3 years ago

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5 movie tickets cost $55. At this rate, what is the cost per ticket?

Mariana [72]

Answer:

11

Step-by-step explanation:

55/5 equals 11

4 0

3 years ago

Read 2 more answers

The area of the rectangle is equal to the product of the base times the height. What is the measure of the area of the recta

myrzilka [38]

Answer:

A rectangle is a good, simple shape to begin with. The area of a rectangle is equal to the product of the length of its base and the length of its height. The height is a segment that is perpendicular to the base. For a rectangle, the base and height are often called the "length" and the "width", and sometimes the height is referred to as the "altitude."

Step-by-step explanation

Mark me as brainiest

8 0

3 years ago