How many milliliters of a 15% saline solution and how many milliliters of a 40% saline solution must be mixed to produce 10 milliliters of a 30% saline solution?Volume of 15% solution=
Volume of 40% solution =

Answers

Answer 1

Answer: x - volume of 15% saline solution. Theres is 15% x = 0,15 x saline solution
y - volume of 40% saline solution. There is 40% y = 0,4y saline solution

You want to produce 10 mililiers so x+y= 10

And this saline has to be 30%, so you've got 30 % * 10 = 0,3 * 10 = 3 ml saline. So:
0,15x + 0,4y = 3
And you've got system of equations:
$\begin{cases} x+y=10 \n 0,15x+0,4y=3\end{cases} \n \begin{cases} x=10-y \n 0,15x+0,4y=3\end{cases} \n \hbox{Substitute value from first equation to second:} \n 0,15(10-y)+0,4y=3 \n 1,5-0,15y+0,4y=3 \n 0,25y=1,5 \qquad /:0,25 \n y=(1,5)/(0,25)=(150)/(25)=6 \n \hbox{Then:} \n x=10-y=10-6=4$

So answer:
Volume of 15% saline solution : 4 mililiters
Volume of 40% saline solution: 6 mililiters.

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Calculate the monthly finance charge if the average daily balance is $20, the daily periodic rate is 0.05%, and the number of days in the cycle is 30.a) 30 cents. b) 31 cents. c) 50 cents.
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Can anyone help me out with this
Find the percentage change from 50 to 82. Indicate whether it is an increase or a decrease. If necessary, round your answer to the nearest percent.

Cambridge has a job mowing lawns. He mowed 5 lawns last week and earned $82.50. The table shows his earnings for the week. Which coordinate pair represents the unit rate for this situation?A) (0, 0)
B) (1, 16.5)
C) (3, 49.5)
D) (5, 82.5)

Answers

Answer:

Option B.

Step-by-step explanation:

Consider the below table attached with this question.

It is given that Cambridge has a job mowing lawns. He mowed 5 lawns last week and earned $82.50.

We need to find the coordinate pair that represents the unit rate for this situation.

Unit rate represent the value of dependent variable when the value of independent variable is 1.

In the given situation, dependent variable is earnings and independent variable is number of lawns.

5 lawns = $82.50

Divide both sides by 5.

1 lawns = $16.5

So, the unit rate rate is $16.5 and the required coordinates are (1,16.5).

Therefore, the correct option is B.

i think so its B 82.50÷5=16.5

Let me get some help real quick big fella

Answers

Answer:

cos B = 9/41

Step-by-step explanation:

Using trig functions, since we have a right angle,

cos theta = adjacent side/ hypotenuse

Cos B = 18/82

Dividing the right side by 2

cos B = 9/41

The answer is A
You have to use the trigonometric ratio as it is a right angle triangle.

Garrett wants to bake a blueberry pie. At the market, blueberries cost $1.90 per pound. If he pays $4.75 for blueberries, how many pounds does he buy?

Answers

Answer:

Step-by-step explanation:

4.75/1.9 gives you the pounds that he bought, or 2.5 pounds

he bought 2.5 pounds

To take a taxi, it cost $3.00 plus an additional $2.00 per mile traveled. you spent exactly $20 on a taxi, which includes the $1 tip you left. how many miles did you travel?

Answers

$20 - tip $1 = $19
$19 - $3 = $16
$16 / $2 per mile = 8 miles

3.00 + 2m = 20 - 1
3.00 + 2m = 19
2m = 19 - 3
2m = 16
m = 16/2
m = 8.....so u traveled 8 miles

Please answer this question

ONLY ANSWER IF YOU KNOW FOR SURE

Answers

When I see these things, I never know whether we're supposed to
include the bottom or not.

Here's what you have to know in order to solve this:

Area of a triangle = (1/2) (base) (height) .

That's it ! The rest is all just arithmetic.

-- It's a little hard to tell from the drawing, but I think
this thing has six sides.
Each side is a triangle, with base = 15m and height = 12m.
Area of each side = (1/2) (15m) (12m) = (1/2) (180m²) = 90 m²
Area of 6 uvum = (6 x 90 m²) = 540 m² . (That's choice-b.)

That takes care of the sides.
If the bottom is supposed to be included, then we notice that
the bottom is a hexagon. That note of "7.5√3 m" looks like
it's the distance from the center of the hexagon to each side.

If you connect that point to each vertex of the hexagon, then
you have 6 triangles down there. Each one has base = 15m
and height = 7.5√3 m .

Area of each section
= (1/2) (15m) (7.5√3 m)
= (1/2) (112.5 √3 m²)
= 56.25 √3 m² .

Area of all 6 uvum = (6) x (56.25 √3 m²) = 337.5 √3 m²
That's roughly 584.6 m² .

If the bottom is supposed to be included in the whole thing,
then the total surface area is

(540 m²) + (584.6 m²) = 1,124.6 m² (That's choice-c.)

I'm pretty sure the bottom is supposed to be included,
and choice-c is the correct answer.
Otherwise, there would have been no reason to bother
giving us that "7.5√3 m" measurement on the bottom.

The answer is 540 m2 hope this helps

What number times it self 3 times equals 729