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3 years ago

Find the simplified form of each expression

Mathematics

1 answer:

astraxan [27]3 years ago

7 0

11.(y^6)² = y^12

12.(x^-3)^-5 x^6 = x^21

13.(6q^6)^–4 = 1/1296q^24

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Y= 5x + 13 <br> and<br> y= x + 45

arsen [322]

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

y=5x+13
y=x+45

Find x:

the two equation, the x and are breaked apart..
so find a number that they can both equal to together and has the same y.
multiply by 8..
$5$ · $8=40$

combine the terms for x and 13
$40+13=53$

since x is 8 then if we add 8 with 45 it should be 53...
$8+45=53$

y is:

this means that y=53.

Therefore, x=8 and y=53..

7 0

3 years ago

The forest hiking trail is 3.5 miles long. The lake trail is 2.5 times longer than the forest trail. What is the length of the l

Marat540 [252]

The length of the lake trail is 1.0miles

6 0

3 years ago

Read 2 more answers

A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work offic

Svetlanka [38]

Probabilities are used to determine the chances of selecting a kind of donut from the box.

The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068

The given parameters are:

$\mathbf{Bars = 6}$

$\mathbf{Chocolate = 3}$

$\mathbf{Custard= 3}$

The total number of donuts in the box is:

$\mathbf{Total= 6 + 3 + 3}$

$\mathbf{Total= 12}$

The probability of eating a chocolate donut, and then a custard filled donut is calculated using:

$\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}$

So, we have:

$\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}$

Simplify

$\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}$

Multiply

$\mathbf{Pr = \frac{9}{132}}$

Divide

$\mathbf{Pr = 0.068}$

Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068