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3 years ago

What is the value of y?

Mathematics

1 answer:

marta [7]3 years ago

7 0

Answer:

3y+3+y+2y=

3y+y+2y+3=

4y+2y=6y/3=

Step-by-step explanation:

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The sum of the two areas of two circles is the 80x square meters. Find the length of a radius of each circle of them is twice as

Alborosie

Answer:

$r = 4m$ --- small circle

$R =8m$ --- big circle

Step-by-step explanation:

Given

$Area = 80\pi\ m^2$ -- sum of areas

$R = 2r$

Required

The radius of the larger circle

Area is calculated as;

$Area = \pi r^2$

For the smaller circle, we have:

$A_1 = \pi r^2$

For the big, we have

$A_2 = \pi R^2$

The sum of both is:

$Area = A_1 + A_2$

$Area = \pi r^2 + \pi R^2$

Substitute: $R = 2r$

$Area = \pi r^2 + \pi (2r)^2$

$Area = \pi r^2 + \pi *4r^2$

Substitute $Area = 80\pi\ m^2$

$80\pi = \pi r^2 + \pi *4r^2$

Factorize

$80\pi = \pi[ r^2 + 4r^2]$

$80\pi = \pi[ 5r^2]$

Divide both sides by $\pi$

$80 = 5r^2$

Divide both sides by 5

$16 = r^2$

Take square roots of both sides

$4 = r$

$r = 4m$

The radius of the larger circle is:

$R = 2r$

$R =2 * 4$

$R =8m$

3 0

3 years ago

Find the x-intercept of the line 5× - y =10

LenKa [72]

Answer:

(2,0)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

5x-y =10

5x -0 = 10

5x=10

Divide by 5

5x/5=10/5

x=2

(2,0)

4 0

4 years ago

Point A is located at (3, 4) and is translated right five units and up three units. What is the new location of point A?

hodyreva [135]

(8,7) because 3+5 =8 and 4+3=7

8 0

3 years ago

Read 2 more answers

At the end of an advertising campaign, the weekly sales declined. The weekly sales y (in dollars) are modeled by the equation y

kkurt [141]

Answer:

c)$24,000

Step-by-step explanation:

The function that models the decline of the sales is

$y = 6000(4 - 0.09x)$

where x is the number of weeks after the end of the campaign.

At the end of the campaign, will be no more weeks left.

So we x=0, and solve for y,

$y = 6000(4 - 0.09 \times 0) \\ y = 6000(4 -0) \\ y = 6000(4) = 24000$

The correct answer is c)$24,000

8 0

3 years ago

Solve for q. -5(3-q) +4=5q-11

soldier1979 [14.2K]

Perform the indicated multiplication first: -15 + 5q + 4 = 5q - 11

Note that 5q appears on both sides of this equation. Cancelling, we get :

-11 = -11. This is always true. Thus, -5(3-q) +4=5q-11 is true for all q.

4 0

3 years ago