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dem82 [27]
2 years ago
14

1.2.71

Mathematics
1 answer:
egoroff_w [7]2 years ago
6 0

Answer:

Step-by-step explanation:

Set up an equation, where x is the number of gallons of 60% antifreeze solution.

Represent the percentages of antifreeze with decimal values.

0.6x + 0.3(80) = 0.5(x + 80)

Simplify and solve for x:

0.6x + 24 = 0.5x + 40

0.1x = 16

x = 160

So, you have to mix 160 gallons of a 60% antifreeze solution

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Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t
Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x 1.025^n, where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

6 0
2 years ago
Which one should I choose
Nostrana [21]

Answer:

its the last one

Step-by-step explanation:

the sign flips when you divide by a negative

6 0
2 years ago
Read 2 more answers
Find the missing side or angle.
Nina [5.8K]

Answer:

a=4.1

Step-by-step explanation:

The Law of Cosines is given as:

a^2=c^2+b^2-2cb\cos A.

Plugging in given values, we get:

a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}.

8 0
3 years ago
2/7 - 3/2 for anyone that doesant know that’s a fraction am struggling on
enyata [817]

Answer:

-17/14

Step-by-step explanation:

To subtract fractions, you must have a common denominator. If that is not given, you make it.

You do so buy finding the LCM of denominators:

LCM of 7 and 2 = 14

Now, here you have multiplied the denominators either by 7 or 2. You do the same for the respective numerators:

2x2/14 - 3x7/14 = 4/14 - 21/14.

Now that you have the same denominator, subtract the numerators:

4-21 = - 17

Put it back as a fraction : -17/14

hope this helps.

7 0
2 years ago
If b = 3, then 3x + y = 1 and bx - y = 3 are parallel.<br> True or <br> False ...?
Ulleksa [173]
I am absolutely sure that the task <span> b = 3, then 3x + y = 1 and bx - y = 3 is NOT parallel, which means that the statement represented above is FALSE.
To make sure you can check it using : </span>y=-3x+1&#10;&#10;y=3x-3 Hope now it's obvious. Regards!
4 0
3 years ago
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