If a dice is Rolled find the probibllity

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

grigory [225]

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where $p$ is pounds and $t$ is total cost:

UPS: $t=7+0.20p$

FedEx: $t=5+0.30p$

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

$7+0.20p=5+0.30p$

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is $0.20x$ . That would turn the equation into:

$7=5+0.10p$

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

$2=0.10p$

Now, you must divide both sides by $0.10$ .

$\frac{2}{0.10}=\frac{0.10p}{0.10}$

That would give us:

$20=p$

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

$t=5+0.30(20)$

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: $t=11$ .

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

3 0

4 years ago

Pleaseeee help i don't understand how to do this

den301095 [7]

Answer:

$x=\frac{5}{k}$

Step-by-step explanation:

Given expression is,

$\text{log}_{3^k}243=x$

By using the law of logarithm,

$(3^k)^x=243$

$3^{kx}=243$

$3^{kx}=3^5$

By comparing exponents on both the sides of the equation,

$kx=5$

$x=\frac{5}{k}$

Therefore, $x=\frac{5}{k}$ will be the answer.

7 0

3 years ago

Please help me with this translating trigonometry graphs question. Brainliest and Points Available.

andreev551 [17]

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

<h3>How to apply translations on a given function</h3>

Rigid transformations are transformation such that the Euclidean distance of every point of a function is conserved. Translations are a kind of rigid transformations and there are two basic forms of translations:

Horizontal translation

g(x) = f(x - k), k ∈ $\mathbb {R}$ (1)

Where the translation goes rightwards for k > 0.

Vertical translation

g(x) = f(x) + k, k ∈ $\mathbb {R}$ (2)

Where the translation goes upwards for k > 0.

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

To learn more on translations: brainly.com/question/17485121

#SPJ1

3 0

2 years ago

Find the area of the right triangle.

frez [133]

Answer:

12

Step-by-step explanation:

Length=4

Width=6

Triangle area formula: Length*Width/2

So, 6*4/2

Equal to 6*2

Answer: 12

4 0

3 years ago

To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top

tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = $\frac{CE}{AE}$

= $\frac{5}{8}$

m(∠CAE) = $tan^{-1}(\frac{5}{8})$

= 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = $\frac{BE}{AE}$

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

= 12.8 + 5

= 17.8

≈ 18 ft

Therefore, total height of the silo is 18 ft.

3 0

3 years ago