A biologist has two brine solutions, one containing 7% salt and another containing 28% salt. How many milliliters of each solution should she mix to obtain 1 L of a solution that contains 19.6% salt?

Answers

Answer 1

Answer:

Each litters can be represented as; x and y respectively to the 7% and the 28%

x + y =1

7x + 28y =19.6

This a simultaneous equation and can either be solved by using elimination or substitution method

Using the substitution method

eqn1, x=1-y

putting into eqn2

7(1-y)+28y =19.6

7-7y+28y=19.6

21y=12.6

y=3/5

but x=1-y

so

x=1-3/5

x=2/5


Related Questions

River C is 400 miles longer than River D. If the sum of their lengths is 5560 ​miles, what is the length of each​ river?

Answers

Answer:

River D - 2580 miles

River C - 2980 miles

Step-by-step explanation:

Let the length of River D be represented with x

length of river C = 400 + x

total length of both rivers = 5560

x + 400 + x = 5560

2x + 400 = 5560

collect like terms

2x = 5560 - 400

2x = 5160

divide both sides of the equation by 2

x = 5160 / 2

x = 2580

length of river c = 400 + 2580 = 2980

2 1/3% as a mixed number in simplest form

Answers

Answer:

71

Step-by-step explanation:

Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458

Answers

Answer:

tn = -1350 + 468n  

Step-by-step explanation:

First, we need to find the difference.

1458 - 54 / 6 - 3

= 468

Now we need to find the first term.

t3 = t1 + (n - 1) (d)

54 = t1 + (3 - 1)(468)

54 = t1 + (2)(468)

54 = t1 + 936

-882 = t1

The rule is:

tn = -882 + (n-1) (468)

tn = -882 + 468n - 468

tn = -1350 + 468n  

Find the midpoint between the two points.

Answers

Answer:

(1,3) is the answer.

Step-by-step explanation:

hope you get it right!!

Find the Inverse of the following function.

Answers

Answer: A

Step-by-step explanation:

a parallelogram has one angle that measures 65 what are the other three angles

Answers

Answer:

Step-by-step explanation:

65,115,115

Witch 3 ingredients will add up to $14.40? (Only one bowl can be chosen, bowls are required)

Answers

Answer? -
Large bowl - $8

Beef - $2.50

Bean sprouts - $2

Boils egg - $2


Explanation
8 + 2.50 = 10.50

2+2= 4

10.50 + 4= 14.50

Calculate the distance between point B (3,-7) and point C (0,8) on the coordinate grid

Answers

Answer:

Distance= 15.3

Step-by-step explanation:

Yes go if flt I could
x d

Which choice does not represent a set of endpoints that create a horizontal line segment? A (1, 13) and (14, 13) B (-10, 0) and (-10, 1) C (3, -20) and (-11, -20) D (16, 2) and (-2, 2)

Answers

Answer:

Step-by-step explanation:

horizontal line segment: B (-10, 0) and (-10, 1)

What is the answer for these this question

Answers

“X” is the independent valuable and “Y” is dependent.

Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. - Select your answer - - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012

Answers

Complete question :

Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?

Answer:

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

Phat 2010 = 0.35

Phat 2012 = 0.41

Step-by-step explanation:

The null and alternative hypothesis :

H0 : p1 - p2 = 0

H1 : p1 - p2 ≠ 0

The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.

Sample proportion for 2010:

Phat = x / n

x = 315 ; n = 900

Phat = 315 / 900

Phat = 0.35

Sample proportion for 2012 :

Phat = x / n

x = 410 ; n = 1000

Phat = 410 / 1000

Phat = 0.41

Select all the equations that are true when xis -4.
A)-8 = 2x
B) -12 = x.-3
C) -12 = x+x+x
D = -1
Ex+4 = -8
F = -16

Answers

Answer:

A,C and D are the correct options.

Convert 5.7×108 to its expanded form. sorry guys im not good with math so i need halp ^_^

Answers

The answer is 615.6.If you have more problems like this go to math-way calculator

12 pumpkins cost 24.60 how much will it cost for 8 pumpkins also

I can run 5 laps in 1 1/4 hours how many laps could I run in a day ​

Answers

Answer:

the second one is 20 i think

Step-by-step explanation:

The first one is 8 pumpkins will cost 8.40

Number 5 please helpppppppppp 10 points

Answers

The answer will be d

What is the value of y
when 8y/4y +5 = 5/6?

A: 25/7

B: 5/28

C: 15/8

D: 25/28

Answers

Answer:

D

Step-by-step explanation:

please mark brainliest thanks:)

In sarah classroom, There are 6 girls or every 2 boys. What is the ratio of boys to the total number of student

Answers

For every 3 girls there is 1 boy, or for every 1 boy there is 3 girls

Answer:

3:1 (Girls:Boys)

6 divided by 2

does anybody know the answer?

Answers

Answer:

y+48=90

y= 90-48

y= 42

Step-by-step explanation:

ok

by using the property

sum of two opposite interior angles of triangle is equal to exterior angle

Without looking, sam took a colored pencil from his case, which has 1 black, 2 red, 3 blue, 2 yellow, and 1 orange pencil. What's the probability he chose a blue one?

Answers

Answer:

3/9 or 1/3

Step-by-step explanation:

find the surface area of the figure below

Answers

Answer:

64

Step-by-step explanation:

square= 16

triangle= 12

12*4 = 48+16 = 64

Answer:

64 m²

Step-by-step explanation:

Hello There!

The surface area is the total area of the figure

So in order to find the area we need to find the area of each shape

For the square:

the square has a length of 4 so we can simply find the area by squaring it

4 * 4 = 16

so the area of the square is 16 square meters

Now we need to find the area of the triangles

The formula for area of a triangle is

[tex]A=\frac{bh}{2}[/tex]

where b = base and h = height

The triangles dimensions are:

base - 4m

height - 6m

having found these dimensions we plug them in into the formula

[tex]A=\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12[/tex]

so the area of one of the triangles is 12 square meters

We want to find the total area of all of the triangles

To do so we multiply the area of one triangle by 4 (because there are four triangles)

12 * 4 = 48

So the total area of the four triangles is 48 square meters

Finally we add the two areas

48 + 16 = 64

so we can conclude that the total surface area of the pyramid is 64 m²

⚠️⚠️⚠️⚠️⚠️help⚠️⚠️⚠️⚠️⚠️​

Answers

Answer:

u have it right it increases by 1:75 per time

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it is A because it is increasing by 1.75 each week

Ok So could you please tell me where I went wrong?​

Answers

Answer:

lateral surface area =perimeter of base×height=

={4+7+7+11)×6=174 km²

Step-by-step explanation:

Find the volume of this triangular prism.

Answers

Answer:

v = 9x9x0.5x5 = 202.5 ft^3

Step-by-step explanation:

What is the solution to the following graph? Write it as an ordered pair to get credit. ​

Answers

Answer:

(2,6)

Step-by-step explanation:

a square has f the diagonals of a square bisects its angles? ​

Answers

Answer:

ok so i can have i insteaof f too

Step-by-step explanation:

Which shows a correct way to determine the volume of the right rectangular prism? ​

Answers

Answer:

the last answer

Step-by-step explanation:

[tex]V=l*w*h\\l=8\\w=9\\h=1\\V=8*9*1\\V=72[/tex]

The fourth one (l x w x h)
8 x 1 x 9= 72

write both an explicit equation and recursive equation for the sequence 64,8,1,0,0.125..

HURRY PLEASE!!​

Answers

Answer:

a(n) = n/8

Step-by-step explanation:

64/8 = 8, 8/8 = 1, 1/8 = 0.125.…

Explicit Equation: a(n) = n/8

Recursive Equation: a(1) = 64; a(n) = n/8

i dont know if this is correct or not but here you go!

I need help with the Pythagorean Theorem

Answers

Answer:

8.4 I think

Step-by-step explanation:

Please don't hate me if I am wrong

The Mavericks football team was losing when they got
control of the ball at midfield in the last minute of a game.
They lost 17 yards on the first play they ran. Then they
gained 3 yards on the second play. On the third play, the
Mavericks lost 21 yards, and on the fourth play, they lost
8 yards. What was the position of the ball relative to its
starting point after those four plays?
A 33 yd
B -50 yd
C 9 yd
D- 43 yd

Pls help I’m doing a renaissance test

Answers

Answer:

-43 yards is the answer...

Simplify the ratio 7:21.
(OLD HW!!)
(TIPS FOR ALGEBRA TO PLS ^^)

Answers

Answer:

Simplified : 1:3

Step-by-step explanation:

7:21 is equal to 1:3

Also, for algebra tips. Algebra is literally practice. There aren't too many complicated equations or anything until you get into a higher math class so practicing problems is best.

Answer:

7:21 = 1:3

Tips for algebra...

just know the basics and related rules or theorams and practice as much as u can

good day mate

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