In a gymnasium, the weights of all people come to exercise will be recorded. One day the weights of 10 people were recorded as 5

Answer:

29

Step-by-step explanation:

$435 divided by 15 is 29

(I think this is the equation)

x^2 + x(x - y) + 10xy

Distributive property.

x^2 + x^2 - xy + 10xy

Combine like terms.

2x^2 + 9xy

Factor x out of each term.

<h3>x(2x + 9y) is the fully simplified form of the original expression.</h3>

<span>the complete question in the attached figure</span>

 A)  The points in the table are

(0,84) (1,146) (2,208) (3,270)

<span><span> To find the equation of the line------- > y=mx+b-------- > </span>select two points</span>(0,84) (1,146)

<span> m=(y2-y1)/(x2-x1)-------> m=(146-84)/(1-0)=62/1=62</span>

84=62*0+b-------------- > b=84

Then

 y=62x+84

the answer to the question A is y=62x+84

 B)  Equation of remaining gasoline is g=16-(1/20)*d

<span>a)   </span>For d=100 miles

g=16-(1/20)*100=11 gallons

<span>b)   </span>For d=200 miles

g=16-(1/20)*200=6 gallons

<span>c)    </span>For d=300 miles

g=16-(1/20)*300=1 gallons

 C)   Using a graphic tool ----------- > view the graphic in file attached

g=16-(1/20)*d

 D)  Explain why the slope of the drawn line  in part C must be negative

The slope is negative because as the car advances gasoline is consumed to the point (320.0)

<span>When the gasoline is zero  (g=0)  </span>the car has traveled 320 miles

A dozen actually means 12. So, 3 dozen cookies is 3x12 = 36 cookies. Likewise, 4 dozen cookies is 4x12 = 48 cookies. One dozen cookies is 1x12 = 12 cookies. Add these all up and you get 36+48+12 = 96 cookies.

Answer:

Option The area is increased by a factor of

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to scale factor squared

Let

z-----> the scale factor

x------> the area of the dilated rectangle

y------> the area of the original rectangle

we have

------> is an enlargement

so

substitute

therefore

The area is increased by a factor of