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Sever21 [200]
3 years ago
8

A scientist wants a 66 ounce saline solution with concentration 12% . She has concentrations of 4% and 15% . How much of each so

lution must she use to get the desired concentration?
Mathematics
1 answer:
Bess [88]3 years ago
6 0
Let x and y represent the measure in ounces of the two given saline solutions.  We are mixing these two together, so x + y = 66 ounces.

The amount of the 4% solution to be used is 0.04x, and that of the 15% solution is 0.15y. 

This results in the equation .04x + 0.15y = 66(0.12).

Multiply both sides by 100 to remove the decimal fractions.  Then

4x + 15y = 66(12).  Now eliminate the variable x by recalling that x + y = 66 ounces, so that x = 66 - y.

Substituting, 4(66 - y) + 15y = 66(12)
Expanding, 264 - 4y + 15 y = 792
combining like terms:    11y = 528

Solving for y:  y = 528/11 = 48.  Then x = 66 - 48 = 18.

Use 48 ounces of the 15% solution and 18 ounces of the 4% solution to obtain 66 ounces of a 12% solution.
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Find the slope and y-intercept for this table.​
labwork [276]

Answer:

See below:

Step-by-step explanation:

To find the slope, we use the following formula:

\frac{y_{2} - y_{1} }{x_{2} - x_{1} }

For this case, we can use (6,60) as the first set of points.

We can use (4,70) as the second set of points.

Now, we can use the formula, 70-60 is for the top of the fraction (10)

We can do 4-6 to find the bottom, which is (-2)

Now, if we add the fraction back we get -> 10/-2 which is -5 for slope!

To find out the y intercept, it in simple words is "What is y when x is 0?".

We can do that by using the slope intercept formula: y=mx+b.

Once we insert our slope which is -2 we get: y=-2x+b

We can now substitute a point, lets use (6,60) so we can find out b.

We now get the equation: 60=-5(6)+b.

If we solve for that we get 90!

Once we input that, we get, y=-5x+90

Now we put in x as 0 and we get our y intercept as 90!

If this answer helped, consider marking as brainliest!!

8 0
3 years ago
A triangle has sides that measures 9 inches and 17 inches.what is the possible length of the third side
Marrrta [24]

Answer:

Step-by-step explanation:

Its known that the sum of 2 sides should be greater than the third, therefore,

Let the third side be x,

9+17=26 (x is smaller than 26 but greater than 17)

4 0
3 years ago
Can somebody answer this????
klasskru [66]

Answer:

x=46

Step-by-step explanation:

Isosceles triangle which means that the bottom two angles are equal. 180 degrees  minus 88=92. Since there are two angles you divide 92/2 which gets 46.

4 0
3 years ago
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Please help with this question
Colt1911 [192]
Bro it’s b that’s a simple question just turn it
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3 years ago
point d is at (-6,9) After being translated four units down and then reflected across the Y axis what are the cornets of point d
JulijaS [17]

Answer:

So, if it is translated down 4 units, that puts point d at (-6,5). and after reflecting it over the y axis, that puts it at (6,5). Making the final answer (6,5).

Step-by-step explanation:

4 0
4 years ago
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