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

Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10

Answers

Answer:

Step-by-step explanation:

This is a quartic  equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.

PLSSSS HELP IN NEED OF HELP IMMEDIATELY! (check whole picture and pls don’t leave a link)

Answers

It will be c because
C! Cuz tadpoles are producers living in water

Tell whether the ordered pair is of liner equations (5,-6) 6x+3y=12 4x+y=14

Answers

Answer:

The ordered pair is one of the solution to the system of equations. See below.

Step-by-step explanation:

To tell if the ordered pair is the solution to the system of equations or not, we can do by substituting the ordered pair in both equations.

(x, y) = (5,-6)

Substitute x = 5 and y = -6 in both equations.

First Equation

6x+3y=12

6(5)+3(-6)=12

30-18=12

12=12

Second Equation

4x+y=14

4(5)-6=14

20-6=14

14=14

Because both equations have same sides which mean that both equations are true for (5,-6). Therefore (5,-6) is part of the equations.

A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval?

It would increase by 8%.
It would decrease by 8%.
It would increase, but not necessarily by 8%.
It would decrease, but not necessarily by 8%.

Answers

Answer:

It would decrease, but not necessarily by 8%

If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.

Option D is the correct answer.

What is a confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

The width of a confidence interval is determined by the level of confidence and the sample size.

A higher confidence level requires a wider interval, and a larger sample size typically results in a narrower interval.

Since the sample size is fixed in this case, changing the confidence level will result in a change in the width of the interval.

As the confidence level increases, the width of the interval also increases. This is because a higher confidence level requires a larger margin of error, which is added to the point estimate to create the interval.

Therefore,

If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.

Learn more about confidence intervals here:

https://brainly.com/question/17212516

#SPJ3

okay last one . help

Answers

The answer should be option C!
Answer : The answer is Letter C

Step by step explanation is look closely

Use the following function rule to find f(6).
f(x)=6x+11

Answers

f(6)=6(6)+11
answer:47

Answer:

X=-11/6

Steps

f(x)=6x+11

simplify,

0=6x+11

-6x+11

Divide both sides,

Answer is x = -¹¹/6

Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total
order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price
she paid for the shirt (including the cost of shipping).
For what price does she sell each T-shirt?

Answers

Answer:

$7.35

Step-by-step explanation:

We have 200 shirts

Cost $2.80 each

plus a 5% charge for shipping.

Selling price

150% markup

Recall when we use percentages, we need to express them as decimals.

Michelle's cost for each shirt was

2.80 (1.05) = 2.94

The markup is

2.94 (1.50) = 4.41

The markup is added to the cost to get the final selling price.

2.94 + 4.41 = $7.35

Michelle will sell each shirt for $7.35

What is the line of symmetry for the parabola whose equation is y = x2 + 10x + 25?

A-x = -5
B-x = 5
C-x = -10

Answers

Answer:

x = -5

Step-by-step explanation:

Please write this as y = x^2 + 10x + 25.  Here the coefficients are {1, 10, 25}.

The equation of the axis of symmetry is x = -b/[2a], which here is

x = -10 / [2*1] = -5

Abir walks four twelfths of a mile to school. Nadia walks two twelfths of a mile to school. How much farther does Abir walk than Nadia?

Answers

Answer:

SHe has walked 2 more miles more than the other person

Step-by-step explanation:

What is the volume of a sphere with a radius of 12 units?
A. 1447 units
B. 230410 units
C. 5767 units
D. 17287 units

Answers

Answer:

7238 units^3

Step-by-step explanation:

The formula for the volume of a sphere of radius 12 units is

V = (4/3)(pi)r^3.  

Here, with r = 12 units,

V = (4/3)(pi)(12 units)^3 = 7238 units^3

Answer:

V = 2304π units³

Step-by-step explanation:

V = (4/3)πr^3

V = (4/3)π(12)^3

V = (4/3)π(1728)

V = 2304π units³

please solve for x!!!

Answers

Answer:

x = 20

Step-by-step explanation:

The two angles are verticals angles and vertical angles are equal

7x -99 = 2x+1

Subtract 2x from each side

7x-99-2x =2x+1-2x

5x-99 =1

Add 99 to each side

5x-99+99 = 1+99

5x =100

Divide each side by 5

5x/5 =100/5

x = 20

Answer:

x=20

set them equal to eac hother

7x-99=2x+1

-2x+99-2x+99

---------------------

5x=100

---- ------

5 5

x=20

Can someone help me with this problem

Answers

Answer:

33

Step-by-step explanation:

well we know you have a right angle and a right angle is equivalent to 90 degrees and you also have angle 57 now we know a triangle is equal to 180 so take 90+57=180 add the 90 and 57 then subtract the anwser from 180

ok so Im getting banned and these cant go to waist so have fun :D

Answers

Answer:

Thx u

Step-by-step explanation:

that's not good oof

:3

:)

:0

:>

Find the sum of the measures of the exterior angles of a convex 65-gon

Answers

Answer: 360

Step-by-step explanation: Sum of exterior angles of any convex polygon is always 360, think about it.

help☝️☝️☝️☝️‍☝️☝️‍☝️‍‍☝️☝️‍☝️☝️

Answers

Answer:

40 + 25 = 65

49 + 63 = 112

63 + 15 = 78

7×16 =112

26 × 3 =78

5×13=65

so the answer is

40 + 25 -------- 5 × 13

49 + 63 -------- 7 × 16

63 + 15 --------- 26 × 3

i hope this help you

help pls and tyyy:)))

Answers

Answer is 1 plug in 1 to 3x-2
F(x)= 3x-2
F(1)= 3(1)-2
3-2= 1


Answer: f(1)= 1

For every six dollars that Jamal saves in his account, his brother saves eight dollars in his account.

If Jamal has $24.00 dollars in his account, how much money does his brother have in his account?

Answers

Answer:

jamel brother has 48.00 dollors

Step-by-step explanation:

Answer: He has 32$ 24 divided by 6 is 4 multiply 4 by 8 and you get 32

Someone help me with this

Answers

Answer:

the error is ( 4-17) is equal -13 not 13

so if she used - 13 the right answer is 17/34

Step-by-step explanation:

see attached

hope it helps

Need help solving this problem.

Answers

Answer:

The measure of angle CDE is 37 degrees

Step-by-step explanation:

I need the length of DB and Measure of angle C in degrees!!!!!

Answers

Answer:

DB = 10

m∡C = 106°

Step-by-step explanation:

DE = EB

20x - 8 = 16x + 12

4x = 20

x = 5

DB = 5 doubled, or 10

m∡A + m∡D = 180

3y + 7 + 2y + 8 = 180

5y + 15 = 180

5y = 165

y = 33

m∡A = m∡C

m∡A = 3(33)+7 = 106°

m∡C = 106° also

please help me ......​

Answers

Answer:

no solution

Step-by-step explanation:

Can someone plz help this is my third time posting this question and I’m trying to get an 92

Answers

21 is the right answer.

180-138=42°

and since it is given in the question that the triangle is isoceles ,so half of 42 is 21°

Answer:

the last three answers is what i think

Step-by-step explanation:

a) Rearrange the following formula to make x the subject.
Give your answer in its simplest form.
4(2x - 3y) = y + 5
+

Answers

Answer:

x = 13y + 0.625

Step-by-step explanation:

4(2x - 3y) = y + 5

8x - 12y = y + 5

8x = y + 5 + 12y

8x = 5 + 13y

8x ÷ 8 = 5 + 13y ÷ 8

x = 5 + 13y ÷ 8

x= 13y + 5 ÷8

x = 13y + 0.625

Plzz help it do today and ill mark u brainliest

Answers

1,278 is the answer.

Answer:

The 1st one is the correct one

8 x 6 = 48

48 x 21 =1008

9 x 5 = 45

45 x 6 = 270

1008 + 270 = 1278

Can i have some help please!!

Answers

Answer: $93649

Step-by-step explanation:

Since this is an exponential growth problem, then we can use the equation 50,000(1.04)^16. Solve it and you get 93649.06228. Round to the nearest dollar, which is probably whole number, so it is 93649.

Thank you :)




The question is above!



;)​

Answers

Answer:

umm 9/2

Step-by-step explanation:

One of Carla's friends suggests that she survey only eighth-graders because they are the
oldest and probably know more about the election than younger students. Do you think
this suggestion creates a random sample? Explain.

Answers

Answer:

This example is not a random example due to the fact that it is only questioning the eighth-graders. Random sample means that the sample is chosen simply randomly and everyone has an equal opportunity to be apart of the sampling.

Step-by-step explanation:

Solve for .

Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

43 +4 < 92 +8

Answers

Answer:

[tex]x > -\frac{24}{19}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{3}x + 4 < \frac{9}{2}x + 8[/tex]

Required

Solve for x

Collect like terms

[tex]\frac{4}{3}x - \frac{9}{2}x < 8-4[/tex]

[tex]\frac{4}{3}x - \frac{9}{2}x < 4[/tex]

Take LCM

[tex]\frac{8x - 27x}{6} < 4[/tex]

[tex]\frac{-19x}{6} < 4[/tex]

Multiply by 6

[tex]6 * \frac{-19x}{6} < 4 * 6[/tex]

[tex]-19x < 24[/tex]

Divide by -19

[tex]x > -\frac{24}{19}[/tex]

Simplify

(2½)² x (0,5)²​

Answers

Answer:

1.5625

Step-by-step explanation:

2½ = 5/2

(5/2)² = 25/4

25/4 = 6.25

0.5² = 0.25

6.25 x 0.25 = 1.5625

Larry spends half of his workday teaching piano lessons. If he sees 6 students, each for the same amount of time, what fraction of his workday is spent with each student? *

Answers

Answer:

1/12

Step-by-step explanation:

bc ik

Answer:

the right answer is 1/12

Step-by-step explanation:

78/0000

67

777

7654

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