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Vera_Pavlovna [14]
3 years ago
11

My goal was to raise $5,000 to help protect the manatees. She raised 3,500. What percent of her goal did she achieve

Mathematics
1 answer:
Oxana [17]3 years ago
8 0

3500 is about 70% of 5000

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Binomial theorem Expand (5 - y)3
Snowcat [4.5K]

Answer:

(5 - y) ^3 = 125 - 75y + 15y^2 - y^3

Step-by-step explanation:

Binomial expression

1

1. 1

1. 2. 1

1. 3. 3. 1 --------power of 3

( 5 - y) ^3

( 5 - y) (5 - y) (5 - y)

( a + b) ^3 = a^3 + 3a^2b + 3ab^2 + b^3

a = 5

b = -y

( 5 - y) ^2 = ( 5 - y) (5 - y)

= 5( 5 - y) - y(5 - y)

= 25 - 5y - 5y + y^2

=(25-10y+y^2)

( 25 - 10y + y^2)( 5 - y)

= 5(25 - 10y + y^2) - y( 25 - 10y + y^2)

= 125 - 50y + 5y^2 - 25y + 10y^2 - y^3

Collect the like terms

= 125 - 50y - 25y + 5y^2 + 10y^2 - y^3

= 125 - 75y + 15y^2 - y^3

7 0
3 years ago
Members of the student concil are conducting a fundraiser by selling school calendars. After selling 80 calendars, they had a lo
Oksana_A [137]

Answer:

a)  y=8x-1000

b) profit=\$8

c) They'd have lost $1000 if they had sold no calendars.

Step-by-step explanation:

a) The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

In this case we know that "y" represents the profit of loss and "x" the number of calendars sold.

Then, according to the exercise, the line passes through these two points:

(80,-360) and (200,600)

Then, we can find the slope of the line with the formula m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-360-600}{80-200}=8

Now, we can substitute the slope and one of those points into y=mx+b and solve for "b":

600=8(200)+b\\\\b=-1000

Then, subtituting values, we get that the equation that describes the relation between the profit of loss and the number of calendars sold, is:

y=8x-1000

b) The slope of the line is the profit they made from selling each calendar

profit=8

c) The y-intercept is the amount they would have lost if they had sold no calendars:

b=-1000

They'd have lost $1000 if they had sold no calendars.

6 0
3 years ago
A gardener has 27 pansies and 36 daises. He plants an equal number of each type of flower in each row. What is the greatest poss
Ulleksa [173]

Answer:

9

Step-by-step explanation:

nine is the highest number in each of them

4 0
3 years ago
Which exponential equation is equation is equivalent to the logarithmic equation below? Log 200 = a
weqwewe [10]

Answer:

Which exponential equation is equation is equivalent to the logarithmic equation below? Log 200 = a

A) 200^10=a  

B)a^10=200  

C)200^a=10  

D)a0^a=200

D) 10^a = 200 is the answer

Hope This Helps!     Have A Nice Day!!

4 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through (-12, -5) and (0, -8)?
Lady bird [3.3K]

Answer:

-3/12

Step-by-step explanation:

8 0
3 years ago
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