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charle [14.2K]
3 years ago
13

Javier is cooling a liquid in a science lab. The liquid starts at 85 degrees, and he cools it 3.5 degrees every minute for 12 mi

nutes. Create a number sentence to model this scenario.
Mathematics
1 answer:
bija089 [108]3 years ago
7 0
85- (3.5*12)

* means times


I think this is correct.
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Choose the equivalent system of linear equations that will produce the same solution as the one given below:
skelet666 [1.2K]
D is the answer as the both have solution x=-2 y=3
14x=-28       12(-2)-3y=-33
x=-2              -3y=-9
                       y=3
from the given equation
4x-y=11 eq 1
2x+3y=5 eq 2
x=y-11/4 from equation 1
subsitute this value of x in equation 2
2(y-11/4)+3y=5
y-11+6y=10
7y-11=10
y=3
subsitude this value of y in equation (x=y-11/4)
so x= -2 
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3 0
3 years ago
An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number
vovikov84 [41]

Answer:

The number of key rings sold on a particular day when the total profit is $5,000 is 4,000 rings.

Step-by-step explanation:

The question is incomplete.

<em>An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by </em>

<em />P=n^2-2n-3<em />

<em>where n is the number of key rings in thousands.</em>

<em>Find the number of key rings sold on a particular day when the total profit is $5,000.</em>

<em />

We have the profit defined by a quadratic function.

We have to calculate n, for which the profit is $5,000.

P=n^2-2n-3=5\\\\n^2-2n-8=0

We have to calculate the roots of the polynomial we use the quadratic equation:

n=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\n= \frac{-2\pm\sqrt{4-4*1*(-8)}}{2}= \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{36}}{2} =\frac{-2\pm6}{2} \\\\n_1=(-2-6)/2=-8/2=-4\\\\n_2=(-2+6)/2=4/2=2

n1 is not valid, as the amount of rings sold can not be negative.

Then, the solution is n=4 or 4,000 rings sold.

7 0
3 years ago
Use the table. What is the total amount o
irina1246 [14]

Answer:

1.89

Step-by-step explanation:

0.09+1.5+0.3

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Answer:

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