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3 years ago

A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70

Mathematics

1 answer:

Sauron [17]3 years ago

3 0

Answer:

first part: y=2.63x

second part: y=2.08x

Step-by-step explanation:

1) 7.90 / 3 = 2.633333 (I rounded to 2.63)

2) 18.70 / 9 = 2.07777 (I rounded to 2.08)

I hope this what you were asking

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What is the equation for this line

pogonyaev

The equation of the line is $y=\frac{-1}{5} x-\frac{21}{5}$ .

Solution:

The points on the line are (–6, –3) and (4, –5).

$x_{1}=-6, y_{1}=-3, x_{2}=4, y_{2}=-5$

Slope of the line:

$$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$$m=\frac{-5-(-3)}{4-(-6)}$

$$m=\frac{-5+3}{4+6}$

$$m=\frac{-2}{10}$

$$m=\frac{-1}{5}$

Point-slope formula:

$y-y_{1}=m\left(x-x_{1}\right)$

$$y-(-3)=\frac{-1}{5}(x-(-6))$

$$y+3=\frac{-1}{5}(x+6)$

$$y+3=\frac{-1}{5} x-\frac{6}{5}$

Subtract 3 from both sides of the equation.

$$y=\frac{-1}{5} x-\frac{21}{5}$

The equation of the line is $y=\frac{-1}{5} x-\frac{21}{5}$ .

6 0

3 years ago

The diameter of a human red blood cell is 0.000009 m The diameter of a cold virus is 0.00000003 m. Approximately how many times

Lera25 [3.4K]

Answer:

Red Cell is 300 times larger than the virus

Step-by-step explanation:

Size in scientific Notation

Red Cell = 9 * 10^-6
Virus = 9 * 10^-8

Procedure.

Count the number of zeros in the decimal
Red Cell = 5 ; virus = 7
And one more to each
Red Cell = 6; virus = 7
change the numbers to minus
Red Cell = -6 ; virus = - 7
The last row is the powers as shown above.

Answer

9*10^-6/3 * 10^-8

3*10^(-6 - - 8)

3*10^(- 6 + 8)

3^10^2 or 300 times larger

4 0

3 years ago

Read 2 more answers

I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help

VMariaS [17]

Answer: a) 8.779 years

b) 8.664 years

Step-by-step explanation:

$A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

A: accumulated amount (balance)
P: principal amount (original/initial investment)
r: interest rate (convert to a decimal)
n: number of times compounded per year
t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

$1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}$