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AleksAgata [21]
3 years ago
6

Captain Renner is sailing the ocean, and his ship is low on supplies. He needs to reach land and restock before his crew mutinie

s and throws him overboard.
Looking at his map, Captain Renner estimates his ship's location and marks it with an X (shown below).

Assuming his ship is just as fast sailing in any direction, to which island should Captain Renner command his helmsman to sail?

a) island A

b) island B

c) island C

Mathematics
2 answers:
vazorg [7]3 years ago
8 0

Answer:

b

Step-by-step explanation:

Dmitrij [34]3 years ago
8 0

Answer:

The answer is C) Island C.

Step-by-step explanation:

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Model subtraction of fraction:
cricket20 [7]
The entire race is 1 full race.
One full race is 1.
He ran 3/8 of 1, so he ran 3/8.
He needs to run the rest of the race.
The rest is unknown, so we call it x.
When you add 3/8 to the unknown, you get the full race.
The equation is

x + 3/8 = 1

Change 1 to a denominator of 8.

x + 3/8 = 8/8

Subtract 3/8 from both sides.

x = 5/8

Answer: He still needs to run 5/8 of the race.
5 0
3 years ago
If the base number is 2/3 and the power is 5.
solniwko [45]

Answer:

32/243

Step-by-step explanation:

do 2 to the 5th and put it above 3 to the 5th

3 0
2 years ago
Read 2 more answers
7x-5=8(x+3) solve for x​
Harlamova29_29 [7]

Answer:

The value of x is -29.

Step-by-step explanation:

We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark

Because we ended up with a true statement, we have determined that the value of x is -29.

6 0
2 years ago
Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.
Levart [38]

Answer:

The standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Step-by-step explanation:

We know that:

4p\left(y-k\right)=\left(x-h\right)^2 is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

x^2\:+\:10x\:+\:6y\:=\:47

Rewriting the equation in the standard form

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

where

vertex (h, k) = (-5, 12)

7 0
2 years ago
Calculate the length of line segment XY in each triangle.
coldgirl [10]

Answer:

XY = 10 cm

Step-by-step explanation:

XY is a midsegment and is half the length of the 3rd side DE, that is

XY = \frac{1}{2} DE = \frac{1}{2} × 20 = 10 cm

5 0
3 years ago
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