Find each product !!

Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59.96 and costs an a

juin [17]

Answer:

600 miles.

Step-by-step explanation:

So basically we can write both plans as linear functions:

F(x) = $59.96+$0.14 . x

S(x) = $71.96+$0.12 . x

Where F(x) is the first plan, S(x) is the second one and X are the miles driven.

To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.

F(x) = S (x)

$$59.96+$0.14.x = $71.96+$0.12.x \\0.14x-0.12x=71.96-59.96\\0.02x=12\\x=12 : 0.02\\x= 600$

Mai has to drive 600 miles for the two plans to cost the same-

4 0

3 years ago

Leah walks to soccer practice on Saturday. She leaves her home and walks 600 meters north. Leah then turns east and continues on

Diano4ka-milaya [45]

Answer:

800m

Step-by-step explanation:

this would be solved using Pythagoras theorem

we are to find the base

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

600² + b² = 100²

b² = 10000 - 3600

b² = 6400

take the square root of both sides

b = 800m

4 0

3 years ago

Find the unknown side length for the triangle. Area = 18 cm² A. 9 cm B. 14 cm C. 18 cm D. 36 cmFind the unknown side length for

Nataliya [291]

The answer would be A. 9cm

5 0

3 years ago

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.94 (U

tekilochka [14]

Answer:

a) 25

b) 49

c) 97

Step-by-step explanation:

The sample size is calculated using the formula, n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

Now,

for 95% confidence level value of z-factor = 1.96

Given:

Mean = $3.94

standard deviation = $0.25

thus,

a) for margin of error = $0.10

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

or

n = $(\frac{0.25\times1.96}{\textup{0.10}})^2$

or

n = 4.9²

or

n = 24.01 ≈ 25 (Rounded off to next integer)

b) for margin of error = $0.07

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

or

n = $(\frac{0.25\times1.96}{\textup{0.07}})^2$

or

n = 7²

or

n = 49

c) for margin of error = $0.05

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

or

n = $(\frac{0.25\times1.96}{\textup{0.05}})^2$

or

n = 9.8²

or

n = 96.04 ≈ 97 (Rounded off to next integer)

6 0

3 years ago

Which logarithmic equation is equivalent to this exponential equation? <br><br> 12=5^x

Brut [27]

Given:

The equation is:

$12=5^x$

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

$a=b^x\Leftrightarrow \log_b a=x$

We have,

$12=5^x$

Here, $a=12,b=5$ . By using the above property of logarithm, we get

$\log_{5}12=x$

$x=\log_{5}12$

Therefore, the correct option is C.

5 0

3 years ago