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son4ous [18]
3 years ago
5

Can someone help me in number 3 please

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Area of rectangle is the multiplication between the sides.


The first rectangle:


A = (2x + 5) . (3x - 2)

A = 2x . 3x - 2 . 2x + 5 . 3x - 2 . 5

A = 6x² - 4x + 15x - 10

A = 6x² + 11x - 10


The second rectangle:


A = (5y + 5) . (2y - 3)

A = 5y . 2y - 3 . 5y + 5 . 2y - 3 . 5

A = 10y² - 15y + 10y - 15

A = 10y² - 5y - 15

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Esther deposited $5,000 into an account that grows at a rate of 8% per year. To the nearest cent, how much will be in the
Serjik [45]

Answer:

The total amount after five years =  $7,000

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given Esther deposited $5,000 into an account

Principal amount 'P' = 5000

Given rate of interest (R) = 8%

r = R / 100 = 0.08 per year

<u><em>Step(ii):</em></u>-

The total amount after 5 years

            A = P( 1 + r t )

          A = 5000(1+ (0.08 X 5) = 7000

<u><em>Final answer</em></u>:-

The total amount after five years =  $7,000

6 0
3 years ago
A cafeteria worker knows that it takes 3 bottles of juice to serve a table of 18 students
lions [1.4K]

Answer:

That would mean that each bottle serves 6 people

Step-by-step explanation:

18/3=6

4 0
3 years ago
Find the missing factor of D that makes the equality true <br><br> -15y^4=(D)(3y^2)<br> D=
sergiy2304 [10]

Answer:

D=-5y^2

Step-by-step explanation:

-15y^4=D*(3y^2)

D=(-15y^4)/(3y^2)=-5y^2

8 0
3 years ago
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
liq [111]

Answer:

-10x + y = 63

Step-by-step explanation:

Let's find the slope of this line.  Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10).  Thus, the slope, m, is m = rise / run = 10 / 1 = 10.

Using the point-slope version of the equation of a straight line, we get

y + 7 = 10(x + 7)

Performing the multiplication results in

y + 7 = 10x  + 70.

Rearranging these terms in the form Ax + By = C, we get:

-10x + y = 63

Check this by substituting -6 for x and 3 for y:

-10(-6) + 3 = 63     This is TRUE

5 0
3 years ago
the water level in an ocean bay changes at a average rate of three meters per hour at this rate how many hours would it take for
Alik [6]
We know the rate of the change, 3 meters per hour. And we want to know how long it will take to reach 12 meters. Say we need to reach 6 meters instead 12.

How long will that take? 2 hours! Because we divide 6 m by 3 m/h.
Now let us do the same thing will 12 meters.

12 m / 3 m/h = 4 hours

It will take 4 hours to reach the 12 meters height. 
3 0
3 years ago
Read 2 more answers
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