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-BARSIC- [3]
4 years ago
5

Bonus how do i solve this? please show details on how to do this.

Mathematics
1 answer:
Dafna1 [17]4 years ago
5 0

Answer:

D

Explanation:

First off, you could just solve this by testing answers, but since it asks for substitution, here it is:

We can use equation 2 or 3 for the first part, I will use 2 and then 3 just because I think 2 might be easier:

a - b = -2

I will get a by itself by adding b to each side:

a = b - 2

now plug in for the a in equation 3:

2(b-2) + b = 5

We can solve for b now:

2b - 4 + b = 5

3b -4 =5

3b = 9

b = 3

Now we can plug in b to our equation for a to find a:

a = 3 - 2

a = 1

Now that we know a and b lets plug it into the first equation and solve for c:

2(1) - (3) + c = -5

-1 + c = -5

c = -4

Now we know what each variable is.

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A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direc
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Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

Step-by-step explanation:

Since we have given that

Speed at which woman walks due west = 3 mi/hr

Speed at which ship moving due north = 22 mi/hr

Now it forms "Pythagorus theorem":

So, it becomes,

H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr

And the direction of the woman relative to the surface of the water is given by

\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

5 0
4 years ago
Skylar makes turkey sandwiches for a family reunion. He purchases 5 pounds 4 ounces of sliced turkey for $26.88. What is the uni
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Answer:

The unit cost per ounce for turkey skylar is $ 0.316  

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The total amount of sliced turkey = 5 pounds + 4 ounces

The total cost of turkey slice = $26.88

Now, as we know

1 pounds = 16 ounces

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Hence the unit cost per ounce for turkey skylar is $ 0.316  Answer

8 0
4 years ago
71 is 25% of what number?
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71 * 4 = 284

The answer is 284
7 0
4 years ago
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How much material, in square inches, is needed to make the flag? square inches if the material costs $0.15 per square inch, how
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The amount needed to purchase materials needed to cover the area of the triangular flag is: $54.

<h3>What is the Area of a Triangle?</h3>

Area of a triangle = 1/2(bh)

Given the dimensions of the flag as the following:

base (b) = 18 in.

height (h) = √(41² - 9²) = 40 in.

Area of the flag = 1/2(18)(40) = 360 in.²

Cost of material needed = (360)(0.15) = $54

Learn more about area of a triangle on:

brainly.com/question/9030437

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5 0
2 years ago
What is continuous​ compounding? how does the apy for continuous compounding compare to the apy​ for, say, daily​ compounding? e
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Continuous compounding is the mathematical limit that compound interest can reach.

It is the limit of the function A(1 + 1/n) ^ n as n approaches infinity. IN theory interest is added to the initial amount A  every infinitesimally small  instant.
The limit  of (1 + 1/n)^n is the number e ( = 2.718281828 to 9 dec places).

Say we invest  $1000  at daily compounding at yearly interest of 2 %. After 1 year the $1000 will increase to:-

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with continuous compounding this will be 

1000 * e^1  =  $2718.28  
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