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2 years ago

20 points!on friday, 0.325 of the students in lola's math class were absent. what percent of the class were absent

Mathematics

1 answer:

Dmitry [639]2 years ago

3 0

How much students were there in the beginning

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Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form

nadya68 [22]

Answer:

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}$ where two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (15,2.2) and (5,1.6):

$m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}$

Therefore, the slope of the line is $\frac{\displaystyle 3}{\displaystyle 50}$ . Plug this into $y=mx+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

2) Determine the y-intercept (b)

$y=\frac{\displaystyle 3}{\displaystyle 50}x+b$

Plug in a given point and solve for b:

$1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b$

Therefore, the y-intercept is $\frac{\displaystyle 13}{\displaystyle 10}$ . Plug this back into $y=\frac{\displaystyle 3}{\displaystyle 50}x+b$ :

$y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}$

I hope this helps!

5 0

3 years ago

The figure shows a bridge support, a cable, and the roadway of a bridge.

Murljashka [212]

Answer:

soln,

feet × feet tall

170×80

13,600

3 0

1 year ago

You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive? An expression is . The change received is

Art [367]

Answer:

8 dollars the cashier owes you

7 0

2 years ago

2. the height of one solid limestone square pyramid is 24 m. a similar solid limestone square pyramid has a height of 30 m. the

Viktor [21]

A) the scale factor of the smaller pyramid to the larger pyramid in simplest form is 24:30 = 4:5

b) the ratio of the area of the base of the smaller pyramid to the larger pyramid.
From the scale factor, the ratio of the area of the base of the smaller pyramid to the larger pyramid is 4^2 : 5^2 = 16:25

8 0

3 years ago

How many solutions are there to the equation below? -46 = 3x + 7x

horsena [70]

-46=3x+7x
-46=10x
X= 10/(-46)
X=-5/23

Therefore, the equation only has one solution

8 0

3 years ago