Find the unknown lengths

Solution:  

The description about the graph is:  

Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.  

Part A:  The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.  

If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.

Equation of line passing through two points,[tex](x_{1},y_{1}),(x_{2},y_{2})is, \frac{y-y_{1} }{x-x_{1} } = \frac({y_{2} - y_{1}})({x_{2}-x{1} })[/tex]

Equation of line passing through (12.5,6) and (15,4) is given by

[tex]\frac{y-6}{x-12.5} = \frac{6-4}{12.5-15}[/tex]

[tex]2x-25=-2.5+15[/tex]

[tex]2x+2.5y=40[/tex]

[tex]20x+25y= 400[/tex]

[tex]4x+5y=80[/tex]

Part B: Description of line of best fit  

A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set. The line passes through (12.5,6), (15,4),and (7,10) that is three points.  

(C) 4 x + 5 y=80  

5 y= - 4 x +80

[tex]y=\frac{-4x}{5}+16[/tex]

Slope [tex]= \frac{-4}{5}[/tex], Y- intercept = 16

Answer:

the answer is c

Step-by-step explanation:

17.5 square inches

Answer:

53

Step-by-step explanation:

have a nice day

Answer:

Length = 13 in

Width = 10 in

Step-by-step explanation:

Let L be the length.

Let W be te width.

From the question given above, the Lenght is 3 more that the width i.e

L = 3 + W

Next, we shall determine the width (W). This can be obtained as follow:

Length (L) = 3 + W

Width (W) = W

Area (A) = 130 in²

A = L × W

130 = (3 + W) × W

Clear bracket

130 = 3W + W²

Rearrange

W² + 3W – 130 = 0

Solving by formula method

W = –b ± √(b² – 4ac) / 2a

a = 1

b = 3

c = –130

W = –3 ± √(3² – 4 × 1 × –130) / 2 × 1

W = –3 ± √(9 + 520) / 2

W = –3 ± √(529) / 2

W = –3 ± 23 / 2

W = –3 + 23 / 2 or –3 – 23 / 2

W = 20/2 or –26/2

W = 10 or –13

Since measurement can not be negative, the width is 10 in.

Finally, we shall determine the length. This can be obtained as follow:

L = 3 + W

W = 10

L = 3 + 10

L = 13 in

SUMMARY

Length = 13 in

Width = 10 in

Answer:

x=-8

Step-by-step explanation:

please mark this answer as brainlest

Answer:

20

Step-by-step explanation:

5 10 15 20

Answer:

1). x = 40

2). y = 20

Step-by-step explanation:

1). "4x" y "160" son ángulos de vértice, por lo que son congruentes entre sí. Entonces, "4x = 160" y luego usa álgebra para resolver "x" y "x = 40".

2). "Y" y "4x" son ángulos suplementarios, por lo que si ambos se suman, forman un ángulo de 180. Entonces, "Y + 4 (40) = 180", usando álgebra daría la respuesta "Y = 20".

¡Espero que esto ayude!

Answer:

Yes.

Step-by-step explanation:

Although there is not much info on this question, if you were to assume that there are 3 different answers or 3 different methods of solving that problem, it is definitey possible to assume that this is possible.

Answer:

17.5 units *2

pls can I get brainiest

Answer:

the answer should be d, 17.5 units

hope this helped

can I get brainiest

Answer: she rented the bike for 5 hours

Step-by-step explanation:

51 - 16 = 35

35/ 7 = 5

Answer:

y=,(x)=-\sqrt(-x)

place the numbers correctly in its place

x = -8.41, -7.84, -7.29, -6.76, -6.25, 0

Answer:

A = 55 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₁ the parallel bases

Here h = 5, b₁ = 5 and b₂ = 17 , then

A = [tex]\frac{1}{2}[/tex] × 5 × (5 + 17) = 2.5 × 22 = 55 in²

Answer: 55

Step-by-step explanation: A=a+b

2h=5+17

2·5=55

________

Hope it helps

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Probability of rolling an even number P(A):

[tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Probability of flipping tails P(B):

[tex]\frac{1}{2}[/tex]

P(A OR B) = P(A) + P(B) – P(A AND B)

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] - ([tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex]) =  [tex]\frac{3}{4}[/tex]

Answer:

2ft

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

because they have 2 different answers

Answer:

length=12

Step-by-step explanation:

length=3w

A=48

48=3w(w)

48=3w^2

16=w^2

W=4

48/4=12

length=12

Answer:

red

Step-by-step explanation:

Answer:32

Step-by-step explanation:

I think 11 is the median for the data.

Answer: A 5

Step-by-step explanation:

20% * 25

= 0.2 * 25

= 5

She can expect to hit the bullseye 5 times.

Answer:

A. 5

Step-by-step explanation:

Regina throws 25 darts and hits the bullseye 20% of the time. So we would set up the equation as 0.20*25 (as we are looking for 20% of 25 and of means multiplication and 20% is 0.20). 0.20*5=5 so she can expect to hit the bullseye 5 times. Therefore, A is the correct answer choice.

Answers:

Blank 1: 4

Blank 2: 9.03

Blank 3: 14.19

Blank 4: 17

Answer:

if i am not wrong is:

1) 4

2) 9.03

3) 14.19

4) 17

Step-by-step explanation:

you need to figurate out how much does only one would be so you can just do the operations for the rest.

Answer:

those are the answers. your are welcome.

Answer:

Step-by-step explanation:

The first answer choice is correct.  There is no initial charge/cost, and each y value is found by multiplying the input by the rate of change.  The graph goes through the origin (an essential condition).

I am pretty sure that the first one is correct

Answer:

C, E, B

here you go. :)