When you roll a die the probability of rolling a number less than 3 is 2/6.

If you rent a car for one day and drive 225 miles, the cost is $80. If you drive 350 miles in one day, the cost is $105. Let cm)

kolezko [41]

Answer:

a) $(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

b) For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

Step-by-step explanation:

For this case we can define the following notation:

m= represent the miles travelled

C= represent the cost

Part a

For this case we have the following two points given:

$(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

Part b

For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

6 0

3 years ago

You buy a container of cat litter for $12.25 and a bag of cat food for x dollars. The total purchase is $19.08, which includes 6

Jlenok [28]

Answer: 19.08 = x + 12.25 is the equation.

$6.83 is the cost.

Step-by-step explanation: Solve for x in the equation to find the total cost of the cat food.

19.08 = x + 12.25 (All you're doing is subtracting 12.25 from 19.08)

6.83 = x

5 0

3 years ago

The lengths of Brian's isopods were 16 mm, 14 mm, 6 mm,

Ilia_Sergeevich [38]

Answer:

72 mm total and 10.29 mm average.

Step-by-step explanation:

16 mm

14 mm

6 mm

3 mm

18 mm

5 mm

10 mm

72 mm total length

Divide by 7: 72/7 = 10.29 mm

6 0

3 years ago

Choose the student who evaluated the power correctly. Alexander’s work 53 = 3 × 3 × 3 × 3 × 3 53 = 243 Simone’s work 53 = 5 × 3

tresset_1 [31]

Answer:

Ricky

Step-by-step explanation:

becuase I did the math assignment today for math

5 0

3 years ago

Read 2 more answers

Simplify (10 + 48) ÷ 2 =

Nuetrik [128]

10+48 = 58 / 2 = 29.

hope it helps!!!!!!1

5 0

3 years ago