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3 years ago

A dolphin is 9 below the surface of the ocean.if it’s position can be recorded as -9 what word the position of 0 represent?

Mathematics

1 answer:

pashok25 [27]3 years ago

5 0

Answer: 0 represents the surface of the ocean

Step-by-step explanation: Words like 'below' indicate a negative number. Since the dolfin's positions is -9 below the sea level, the equation x-9=-9 can be created (let x = ocean surface level). Add 9 to both sides to cancel out -9 on the left side and isolate x. You have x = 0, so the ocean surface is 0.

Of course, you don't have to do all that! That was a in-depth explanation. Just make sure to look at the wording :P

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If you popped 3 bags of popcorn in 15 min how many bags did you pop per min

Agata [3.3K]

1 bag per 5 minutes. If you divide 15(total amount of min) by 3(bags of popcorn you popped) you will see you popped 1 bag per 5 minutes. Now its say per minutes, then, you will have to say 1/5 bag per minutes.

3 0

3 years ago

You have one type of nut that sells for $2.80/lb and another type of nut that sells for $9.60/lb. You would like to have 20.4 lb

max2010maxim [7]

Answer:11.396Ibs of nuts that cost $9.60/Ib and 9.014Ibs that cost $2.80/Ib

Step-by-step explanation:

First we find the cost of the supposed mixture we are to get by selling it $6.60/Ib which weighs 20.41Ibs

Which is 6.6 x 20.41 = $134.64

Now we label the amount of mixture we want to get with x and y

x = amount of nuts that cost $2.8/Ib

y = amount of nuts that cost $9.6/Ib

Now we know the amount of mixture needed is 20.41Ibs

So x + y = 20.41Ibs

And then since the price of the mixture to be gotten overall is $134.64

We develop an equation with x and y for that same amount

We know the first type of nut is $2.8/Ib

So for x amount we have 2.8x

For the second type of nut that is $9.6/Ib

For y amount we have 9.6y

So adding these to equate to $134.64

2.8x + 9.6y = 134.64

So we have two simultaneous equations

x + y = 20.41 (1)

2.8x + 9.6y = 57.148 (2)

We can solve either using elimination or factorization method

I'm using elimination method

Multiplying the first equation by 2.8 so that the coefficient of x for both equations will be the same

2.8x + 2.8y = 57.148

2.8x + 9.6y = 134.64

Subtracting both equations

-6.8y = -77.492

Dividing both sides by -6.8

y = -77.492/-6.8 =11.396

y = 11.396Ibs which is the amount of nuts that cost $9.6/Ib

Putting y = 11.396 in (1)

x + y = 20.41 (1)

x +11.396 = 20.41

Subtract 11.396 from both sides

x +11.396-11.396 = 20.41-11.396

x = 9.014Ibs which is the amount of nuts that cost $2.8/Ibs

8 0

4 years ago

Y = 6x - 13<br> 5x - 2y = 5<br> Using the substitution method

tankabanditka [31]

Answer:

x=3, y=5

Step-by-step explanation:

7 0

3 years ago

What are the real zeros of the function g(x) = x3 + 2x2 − x − 2?

Nat2105 [25]

Upon a slight rearrangement this problem gets a lot simpler to see.

x^3-x+2x^2-2=0 now factor 1st and 2nd pair of terms...

x(x^2-1)+2(x^2-1)=0

(x+2)(x^2-1)=0 now the second factor is a "difference of square" of the form:

(a^2-b^2) which always factors to (a+b)(a-b), in this case:

(x+2)(x+1)(x-1)=0

So g(x) has three real zero when x={-2, -1, 1}

4 0

3 years ago

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches ? Rounded to the nearest tenth .

Arisa [49]

Answer:

141.4

Step-by-step explanation:

Plug the numbers into the formula, V=πr2h, you know that your radius is 3 and your height is 5, so you get V=π(3)2(5), you just then put it in the calculator. You get 141.37, round to the nearest tenth 141.4

8 0

3 years ago

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