Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use

Answers

Answer 1

Answer:

x = 10% saline solution = 190 mililiters

y = 60% saline solution = 10 mililiters

Step-by-step explanation:

Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use

Let

x = 10% saline solution

y = 60% saline solution

x + y = 200

x = 200 - y

10% × x + 60% × y = 200 × 12.5 %

Hence:.0.1x + 0.6y = 25

Substituting 200 - y for x

0.1(200 - y) + 0.6y = 25

20 - 0.1y + 0.6y = 25

- 0.1y + 0.6y = 25 - 20

0.5y = 5

y = 5/0.5

y = 10 milliliters

Solving for x

x = 200 - y

x = 200 - 10

x = 190 mililiters


Related Questions

A race horse runs one lap around a lake in 10 minutes.
How long will it take for the horse to run 6 laps around the lake at the same pace?

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Answer:

60 minutes

Step-by-step explanation:

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Answer: 9/4 or 2.25

Step-by-step explanation:?????

Answer: 9/4
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find the volume of the cone

Answers

Answer:

A≈249.02cm

Step-by-step explanation:

can someone please help with this i don’t know how to do it 85points

Answers

Answer:

Step-by-step explanation:

You can find the area by cutting it across in the middle into a trapezoid and a rectangle.

The trapezoid will have:

height = 10-4 = 6ft

top = 9-6 = 3ft

bottom = 8ft

So its area = 1/2*(3+8)*6 = 33 ft^2

The rectangle will have:

length = 10ft

width = 6ft

So its area = 10*6 = 60 ft^2

Total area = 60+33 = 93 ft^2

Answer:

93 ft^2.

Step-by-step explanation:

Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).

First find the area of the rectangle;

10*6 = 60 save that for later;

The dimensions of the second rectangle are not given but you can solve for them.  

The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.  

The height of the second rectangle is given by 9ft. - 6ft.

Multiply the width (base) and height;

6*3=18

The base of the triangle is the same as the second rectangle's.  Use that for the base.  The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.

1/2(5*6) = 15

Add all of the values together;

15+18+60 = 93 ft^2

Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB​

Answers

Answer:

50

Step-by-step explanation:

I assume you are asking how much she EARNS after 2 years.

500x.-5=25 interest per year

25 x 2 years = 50 interest for 2 years.

PLEASE HURRY!!!! Which Graph shows a set of ordered pairs that represent a function?​

Answers

Answer Expert Verified
If a vertical line is drawn then the line will cut at only one point. In first graph for all x values we have different y values so the ordered pairs represent a function.

In the past, the mean running time for a certain type of flashlight has been 9.2 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. They hypotheses are as follows. Explain a type 2 error.

Answers

Answer:

what are the hypotheses?

Step-by-step explanation:

you said the hypotheses are as folows its not there

what’s the answer for this I need help

Answers

Answer:

18 ft^2

Step-by-step explanation:

4 x 4 = 16

4 x 1 = 4

4 / 2 = 2

16 + 2 = 18 ft.^2

Answer:

18 ft²

Step-by-step explanation:

Area of the triangle: [tex]\frac{1}{2}[/tex] (1 × 4) = 2 ft

Area of the square: 4 × 4 = 16 ft

Add up the areas

You get 18 ft²

hi please help I'll mark u brainliest

Answers

Answer:

v = 16, u = 15

Step-by-step explanation:

(a)

Substitute the given values into the formula

v = 10 + 2(3) = 10 + 6 = 16

(b)

Substitute the given values into the formula

50 = u + 5(7)

50 = u + 35 ( subtract 35 from both sides )

15 = u

what is the area if this triangle? enter your answer as a decimal in the box. round only your final answer to the nearest tenth.

Answers

The answer to your question is 38.6

hey! i’ll give brainliest please help

Answers

Answer:

conjunction

Step-by-step explanation:

Answer:

Conjunction is correct answer. (I think)

What is the volume of the figure?

Answers

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.

If the m∠1=123° m ∠ 1 = 123 ° and m∠2= (2x+7)° m ∠ 2 = ( 2 x + 7 ) ° , determine the value of x that supports l∥m l ∥ m . Show your work to support your answer.

Answers

Answer:

25

Step-by-step explanation:

Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;

<1 + <2= 180

123+2x+7 = 180

130+2x = 180

2x = 180 - 130

2x = 50

x = 50/2

x = 25

Hence the value of x is 25

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Answers

Answer:

1/4

Step-by-step explanation:

Probability is: (ways to get a desired result) / (total possible outcomes)

Choosing a yellow ball would be a desired result.

So, using the numbers that the question gives us,

(3 ways to get a yellow ball) / (12 golf balls total) =

3 / 12 =

1 /4

The answer is 1/4 chance.

Answer:

3/12 0r 1/4 <--- Simplified

Step-by-step explanation:

so there are 3 yellow which are in 12 gold balls so

it would be 3/12 or simplified 1/4

jill has 15 feet ribbion how many yards ribbon does she have

Answers

Answer:

Step-by-step explanation

You would take 15 ft and divide it by how many feet are in a yard which is 3.

Answer - Jill has 5 yards of ribbon

Answer:

5 yards

Step-by-step explanation:

every 3 feet are 1 yard... 15 feet divided by the 3 = 5 yards

factorise

x^3 - 2x^2 -x+2

Answers

Answer:

Solution given:

x^3 - 2x^2 -x+2

take common from two each term

x²(x-2)-1(x-2)

take common again and keep left one on other bracket

(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.

note:using formula a²-b²=(a+b)(a-b) for x²-1.

Answer:

[tex](x - 1)(x + 1)(x - 2)[/tex]

Step-by-step explanation:

[tex]x^3 - 2x^2 - x + 2[/tex]

Take x² common from first two terms.

[tex]=> x^2(x - 2) -1(x - 2)[/tex]

Take (x - 2) common from whole expression.

[tex]=> (x - 2)(x^2 - 1)[/tex]

Factorise (x² - 1) by using the identity → (a² - b²) = (a + b)(a - b)

[tex]=> (x - 2)(x + 1)(x - 1)[/tex]

The radius of a circle is 19.2 in. Find the circumference to the nearest tenth.

Answers

Answer:

1

Step-by-step explanation:

You flip a coin three times in a row. What is the probability you will get three tails?

Answers

Answer:

50/50

Step-by-step explanation:

Answer:

1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.

What is the equation of the line that passes through the point (−7,4) and has a slope of 0?

Answers

Answer:

Step-by-step explanation:

equation of a line

y=mx+b

y=0*x+b

y=0+b

y-0=b

since the line passes through the point (-7,4) it satisfies the equation

4-0=b

4=b

substituting the value of b in

y-0=b

y-0=4 is the required equation.

Please Help! WIll Give 25 Points And Brainliest!


Please solve the picture below

Answers

Answer: n × n× 6

length time width both = n and hight is 6 so n × n × 6

Step-by-step explanation:

The identity sin (theta/2) = +- sqrt 1-cos theta/2 is derived from which other identity?

Answers

Answer:

2nd option

Step-by-step explanation:

Using

sin²A = [tex]\frac{1-cos2A}{2}[/tex] ( take the square root of both sides )

sinA = ± [tex]\sqrt{\frac{1-cos2A}{2} }[/tex]

Replace 2A with θ and A with [tex]\frac{0}{2}[/tex] , then

sin ([tex]\frac{0}{2}[/tex] ) = ± [tex]\sqrt{\frac{1-cos20}{2} }[/tex]


A . What is the slope in the line of the graph ?

Answers

Answer:

0.2x+3

Step-by-step explanation:

A blockbuster movie makes about $247,000,000 in the United States during opening weekend. That same weekend another movie opens but only makes about $5,200,000. Question: write each dollar amount in scientific notation PLEASE HELP.

Answers

Answer:

$247,000,000 = 2.47 * 10⁸$5,200,000 = 5.2 * 10⁶

Step-by-step explanation:

Scientific notation allows us to write large numbers in smaller quantity by reducing the number to a figure less than 10 but more than one and then multiplying it by a power of 10 to show its actual size. For instance, 65,000,000 will be written as 6.5 * 10⁷ to represent the total number of digits that it has after the decimal.

$247,000,000:

This would be 2.47 * 10⁸

$5,200,000:

This is 5.2 * 10⁶.

PLEASE HELP I NEED THE ANSWER ASAP ILL GUVE BRAINLIST

Answers

Hope this helps. please mark me brainliest if it did

Answer:B $225

Step-by-step explanation:

$2,700.00 divided by 12 = $225

12 = 1 year

HELP ME WITH THIS PLEASE!! #∆# ~∆~

Find the RATIO and the EXACT VALUE of the given Cot B.​

Answers

Answer:

Step-by-step explanation:

take angle B as reference angle

using cot rule

cot B=adjacent/opposite

cot B=5/12

cot B=0.41

B=cot 67.5

B=67.5 degree

for ratio,

cot B=5/12

What is the value of x? Show your work.
Please help

Answers

Answer:

b=5√3

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]

Pls help me with #10 I need a answer and a explanation

Answers

Answer:

C  y/9 = 3

Step-by-step explanation:

An equation needs an equals sign

NO LINKS PLEASE ..Solve for x

Answers

Answer:

x = 42.5

Step-by-step explanation:

all triangles inscribed into a circle like in the picture must have a 90 degree angle.

so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5

How much should you invest at 4.8% compounded continuously to have $5000 in 2 years?

Answers

Answer:

The total compound interest is $502.74 i think

Step-by-step explanation:

24/5

[tex] \frac{24 \times 5000 }{5 \times100 } = \frac{240 \times 5000}{100} = 240 \times 50 = 12000 =12000 + 240 = 12240 [/tex]

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