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natulia [17]
3 years ago
10

A recipe uses 8 3/4 cups of milk for every 3 1/2

Mathematics
1 answer:
Fed [463]3 years ago
4 0
2 1/2 cups of milk for each cup of oatmeal
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A rock falls off a balcony. It’s height(in feet)is given by the formula f(x)= -16t^2+12.5t+150, where t is measured in seconds.
ELEN [110]

Answer: 3.47\ seconds

Step-by-step explanation:

Given the following function:

f(x)= -16t^2+12.5t+150

You need to follow these steps in order to solve the exercise:

1. Substitute f(x)=0:

0= -16t^2+12.5t+150

2. Now you need to apply the Quadratic formula. This is:

x=t=\frac{-b\±\sqrt{b^2-4ac} }{2a}

In this case, you can identify that:

a=-16\\b=12.5\\c=150

Then, you can substitute these values into the formula:

t=\frac{-12.5\±\sqrt{(12.5)^2-4(-16)(150)}}{2(-16)}

3. Evaluating, you get:

t_1=3.47\\\\t_2=-2.69

4. You must choose the positive value. Then:

t=3.47\ seconds

7 0
4 years ago
Whats the standard form of 2+8/15x =-2/3y
lara [203]
Standard Form looks like this:

A_{x} + B_{y} = C

Also, A cannot be negative and there are no fractions in Standard Form.

Now that we know the rules of Standard Form, let's get x and y on one side.

-2/3y = 2 + 8/15x
Subtract 8/15x from both sides.
-8/15x - 2/3y = 2
Multiply 2/3 by 5/5 to get a common denominator.
-8/15x - 10/15y = 2
Multiply everything by 15 to rid of the fractions.
-8x - 10y = 30
Multiply everything by -1 to make A positive.
8x + 10y = -30

8x + 10y = -30
7 0
4 years ago
Helpppppppppppppppppppp
olchik [2.2K]
-4x + 10y = -4
10y = 4x - 4
    y = 2/5 x - 2/5 so slope = 2/5

-2 - 2x = 5y
5y = -2x - 2
  y = -2/5 x - 2/5 so slope = -2/5

the slope is opposite so the lines are intersecting

answer is A.
7 0
3 years ago
System of quadratics <br><br> 9x2 + 16y2 = 144<br><br> x² + y² =9
Svetach [21]

Answer:

Step-by-step explanation: Substitute x-c for y in the ellipese equation. Then solve the resulting equation for x, with c as a remining unknown.

Pick the vaue of c that results in one value for x. That will correspond to the tangent-line situation.

hopefully this is right

7 0
4 years ago
Alex deposits $4,000 in a savings account that pays 5% interest, compounded semiannually. What is his balance after one year?
elena-14-01-66 [18.8K]

Answer:

$4400

Step-by-step explanation:

I just looked up on google what was 4000 + 10%

Hope this helps!

5 0
3 years ago
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