What is the surface area of the triangular prism ? plz I need this fast

Brandon rode in a taxi that charges a flat fee of $2.25 and an additional $0.40 per mile of his trip. If he paid $6.80 for the c

r-ruslan [8.4K]

Answer:

11 $\frac{3}{8}$ miles.

Step-by-step explanation:

To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b

$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.

$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.

We know Brandon spent $6.80 on the cab ride. So, this is our y.

We get the equation: 6.80 = 0.40x + 2.25.

To solve, first subtract 2.25 from both sides of the equation:

6.80 - 2.25 = 0.40x + 2.25 - 2.25

We get: 4.55 = 0.40x

Now, just divide by 0.40 on both sides:

4.55 ÷ 0.40 = 0.40x ÷ 0.40

We get: 11.375 = x

So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 $\frac{3}{8}$ .

I would appreciate brainliest, if not that's ok!

6 0

3 years ago

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream. Find the rate of the boat in still w

prohojiy [21]

Step-by-step explanation:

Given that,

A motor boat travels 60 miles down a river in 3 hours but takes 5 hours to return upstream,

We know that,

Speed = distance/time

The rate while moving downstream $=\dfrac{60}{3}=20\ mph$

The rate while moving upstream $=\dfrac{60}{5}=12\ mph$

The rate of the boat in still water is the average of these:

$v_s=\dfrac{20+12}{2}=16\ mph$

The rate of the current is the difference between the boat speed and actual speed = 16 mph - 12 mph = 4 mph

Hence, this is the required solution.

7 0

3 years ago

Evaluate the determinant of the matrix. -4 5 6 0 4 4 -2 -5 4 I need the work plz

FromTheMoon [43]

Answer:

-136

Step-by-step explanation:

We have to find the determinant of the following matrix:

$\left[\begin{array}{ccc}-4&5&6\\0&4&4\\-2&-5&4\end{array}\right]$

We can find the determinant by expanding via 1st column. i.e. by taking each element of 1st column and multiplying it by its co-factor matrix as shown below:

det $\left[\begin{array}{ccc}-4&5&6\\0&4&4\\-2&-5&4\end{array}\right]$

= $(-4 \times det \left[\begin{array}{cc}4&4\\-5&4\end{array}\right]) - (0 \times (-4 \times det \left[\begin{array}{cc}5&6\\-5&4\end{array}\right]))+ ((-2) \times det\left[\begin{array}{cc}5&6\\4&4\end{array}\right])\\\\ =-4 \times (16 + 20)-(0)+(-2 \times 20-24)\\\\ =-4(36)+(-2(-4))\\\\ =-144+8\\\\ =-136$

The notation det() stands for determinant of the matrix.

Therefore, the determinant of the given matrix is -136

8 0

3 years ago

Quick!!!!!!!!!!!!!!!

Degger [83]

Answer: discrete.

Step-by-step explanation:

Discrete variable

It is a variable whose value is evaluated by counting.

Example: Number of books published in a month.

Continuous variable

It is a variable whose value is evaluated by measuring ( not countable).

Example: Distance: 1.52 m

Since the number of dental visits a randomly chosen person had for the past 5 years is a countable.

here, Variable: Let X =number of dental visits a randomly chosen person had for the past 5 years

So, the random variable described is discrete.

7 0

3 years ago

Need help z-8=3y-x.

Agata [3.3K]

What are you trying to solve for?

3 0

3 years ago

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What is the surface area of the triangular prism ? plz I need this fast​

What is the surface area of the triangular prism ? plz I need this fast