Riley wants to make 100 ml of 25% saline solution but only has access to 12% and 38% saline mixtures.

Answers

Answer 1
Put equal parts of each 12%+38%=50%
50% divided by 2= 25%
Answer 2

To make 100 ml of 25% saline solution, Riley will need 50 ml = 12% saline mixture and 50 ml= 38% saline mixture.

Given,

We have 12% and 38% of saline mixtures.

We need to find the amount in ml from each saline mixture which would give us 100 ml of 25%.

What are the methods to solve a system of linear equations?

There are a number of methods but the most and easiest used method is the substitution method and the elimination method.

We can make two linear equations from the given statements.

Let x = amount from 12% saline mixture and y = amount from 38% saline mixture.

Now we need to make 100 ml of 25% saline.

so,

x + y = 100.

So we have two equations.

x + y = 100..............(1)

12% of x + 38% of y = 100 x 25%

0.12x + 0.38 = 25 ...............(2)

Using the substitution method we have,

x = 100 - y

Putting x = 100 - y in {2}

0.12 ( 100 - y ) + 0.38y

= 2512 - 0.12y + 0.38y

= 250.38y - 0.12y

= 25 - 120.26y = 13y

= 13 / 0.26y = 50.

Putting y = 50 in (1)

x + y = 100x

100 -50x = 50.

So Riley will need 50 ml = 12% saline mixture and 50ml = 38% saline mixture to make 100 ml of 25% saline solution.

Learn more about finding proportion of mixtures here:

https://brainly.com/question/20366557

#SPJ2


Related Questions

Evaluate 24 = (8-2).

Answers

Answer:

24 ÷ ( 8 - 2 )

= 24 ÷ 6

= 4

so, 4 is the answer

Answer:

on your question it says “=“ but on the picture it says “÷”

so for 24=(8-12) it would be 30

and for 24÷ (8-12) it would be -6

Step-by-step explanation:

Hope this helps, have a good day

For each ångle pair, tell whether they are congruent or supplementary

Answers

Answer:

1&3 are supplementary

3&6 are congruent

4&5 are supplementary

2&3 are congruent

1&6 are supplementary (not sure about this one)

Step-by-step explanation:

A 1/2-mile long train enters a 2-mile long tunnel traveling at a speed of 10 mi/h. How many minutes pass from the time the front of the first train car enters the tunnel until the rear of the last train car exits the tunnel?

Answers

Answer:

15 min

Step-by-step explanation:

The distance required is the length of the tunnel added to the length of the train

d = 1/2 + 2 = 5/2 miless = 10 mile/hour = 10/60 mile/min= 1/6 mile/min

Time is:

t = d/st = 5/2 : 1/6 = 5/2*6= 15 min

Rachel and David were shopping for holiday gifts when they noticed a Thanksgiving sweater on the discount rack. Rachel really wanted the sweater, even though she wouldn’t be wearing it until Thanksgiving of 2021! Part A: ​If the original price of the sweater was $24.00, and the sweater is on sale for 60% off, what is the sale price?

Answers

Answer:

$9.60

Step-by-step explanation:

Original price = $24Discount = 60%

Discount amount:

$24*0.6 = $14.40

Sale price:

$24 - $14.40 = $9.60

Answer:

9.60

Step-by-step explanation:

i did the quiz

A three digit number is selected at random from the set of all three digit numbers. The probability that the selected number has all the three digits the same is:__________.A.1/9B. 1/10C. 1/50D. 1/100

Answers

Answer:

1 /100

Step-by-step explanation:

Probability = (number of required outcomes / number of total possible outcomes)

Total possible outcomes = count of all 3 digit numbers ={100, 101,... 999} = 900

Required outcome = count of Three digit numbers with all 3 digits being the same = {111,222,333,444,555,666,777,888,999} = 9

Hence, probability that selected number has all 3 digits being the same :

9 / 900 = 1 /100

What fraction more of the coupon books did Jabar sell than Guto?

Answers

Answer:

1/20

Step-by-step explanation:

Take 1/12 and 2/15 and find a common denomitator of 180 then multiply the tops to get 24/180 for 1/2 and 15/180 for 2/15 and then subtract to get 9/180

Finally simify to get 1/20

The function F(x) varies inversely with x and f(x) = 25 when x = 6 what is f(x) when x= 18

Answers

Answer:

8.333

Step-by-step explanation:

F(x) α 1/ x

F(x) = k/x

F(x) = 25 ; x = 6

Lets use the information above to obtain the value of k

25 = k/6

k = 25 * 6 = 150

k = 150

Therefore, the value of f(x) when x = 18 will be :

Using the relation :

F(x) = k/x

k = 150, x = 18

F(x) = 150 / 18

F(x) = 8.333


1,Find the eighth term of the geometric sequence whose 1st term is 5 and whose 4th term is

1/25.​

Answers

Answer:

Solution will be 1/15625

Step-by-step explanation:

Substitute the value of first term for ar^(4-1) for the third term with 1/25 on RHS, make r the subject (which is the common ratio)

you'll get r as 1/5

Now for the eighth term, replace the "4" in the formula with "8" and a with "5" and observe the magic.

At 1:00 P.M., oil begins leaking from a tank at a rate of (6 0.77t) gallons per hour. (Round your answers to three decimal places.) (a) How much oil is lost from 1:00 P.M. to 4:00 P.M.

Answers

Answer:

[tex]Amount = 8.31[/tex]

Step-by-step explanation:

Given

[tex]Rate = 6 + 0.77t[/tex]

Required

Determine the gallons of oil lost between 1pm to 4pm

[tex]Rate = 6 + 0.77t[/tex]

Where t represents number of hours

First, we need to calculate the duration between 1pm and 4m.

[tex]t = 4pm - 1pm[/tex]

[tex]t = 3\ hours[/tex]

Substitute 3 for t in [tex]Rate = 6 + 0.77t[/tex]

[tex]Amount = 6 + 0.77 * 3[/tex]

[tex]Amount = 6 + 2.31[/tex]

[tex]Amount = 8.31[/tex]

Hence, 8.31 gallons of oil has been lost

Someone please tell me the answer

Answers

Answer:

30 times three

Step-by-step explanation:

because all the bottom number are multiplying buy three.

Find the value of x that makes mll n.
150°
(3x-15)

Answers

Answer:

[tex]3x - 15 = 150 \\ 3x = 165 \\ x = 55[/tex]

55° is the right answer.

I need help anyone can anyone help

Answers

Answer:

14

Step-by-step explanation:

The perimeter is the sum of the sides, so we have

2x+x+15+4x-7=57

= 7x+8

Subtracting 8 from both sides, we get

7x= 49

Dividing 7 from both sides, we get

x=7

Our sides are then 2x=14, x+15=22, and 4x-7=21. 14 is our answer

Answer:

The shortest length of the triangle is: 14

Hence, option B is correct.

Step-by-step explanation:

Given the triangle with the lengths

[tex]x+15[/tex][tex]4x-7[/tex][tex]2x[/tex]

Given that the perimeter of triangle = P = 57

We know that the perimeter of a triangle is the sum of the lengths of the sides of a triangle.

so

[tex]P = (x+15)+(4x-7)+(2x)[/tex]

substitute P = 57

[tex]57 = (x+15)+(4x-7)+(2x)[/tex]

switch sides

[tex]\left(x+15\right)+\left(4x-7\right)+\left(2x\right)=57[/tex]

[tex]x+15+4x-7+2x=57[/tex]

Group like terms

[tex]x+4x+2x+15-7=57[/tex]

Add similar elements

[tex]7x+15-7=57[/tex]

[tex]7x=49[/tex]

divide both sides by 7

[tex]\frac{7x}{7}=\frac{49}{7}[/tex]

simplify

[tex]x=7[/tex]

Now, measuring the lengths by substituting x = 7

[tex]x+15 = 7+15 = 22[/tex][tex]4x-7 = 4(7)-7 = 28 - 7 = 21[/tex][tex]2x = 2(7) = 14[/tex]

Therefore, the shortest length of the triangle is: 14

Hence, option B is correct.

   

Graph this function using intercepts: 27x–15y=1,350. Provide x and y intercepts

I really don't know how to do it myself and when I try to solve using a website they can't even do it

Answers

Answer:

graph attached

Step-by-step explanation:

27x - 15y = 1350

15y = 27x -1350

y = 27/15 x - 1350/15

y = 9/5 x - 90

y = mx + b     y intercept (b) = -90

y=0  x = 90 * 5/9 = 50   x intercept

Step-by-step explanation:

Given function

27x – 15y = 1350

Easy way to find x- and y-intercepts and graph the line:

x-intercept found when y = 0

27x - 15*0 = 135027x = 1350x = 1350/27x = 50

y-intercept found when x = 0

27*0 - 15y = 1350-15y = 1350y = -1350/15y = - 90

So the points are:

(0, -90) and (50, 0)

Plot these two points on a coordinate plane and connect with a line

Beads are dropped to create a conical pile such that the ratio of its radius to the height of the pile is constant at 2:3 and the volume is increasing at a rate of 5 cm^3/s. Find the rate of change of height at h = 15cm.

Answers

Answer:

[tex]\displaystyle \frac{dh}{dt} = \frac{1}{20 \pi} \ cm/s[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Geometry

Volume of a Cone: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{r}{h} = \frac{2}{3} \\\frac{dV}{dt} = 5 \ cm^3/s\\h = 15 \ cm[/tex]

Step 2: Rewrite Cone Volume Formula

Find the volume of the cone with respect to height.

Define ratio:                         [tex]\displaystyle \frac{r}{h} = \frac{2}{3}[/tex]Isolate r:                               [tex]\displaystyle r = \frac{2}{3} h[/tex]Substitute in r [VC]:             [tex]\displaystyle V = \frac{1}{3} \pi (\frac{2}{3}h)^2h[/tex]Exponents:                          [tex]\displaystyle V = \frac{1}{3} \pi (\frac{4}{9}h^2)h[/tex]Multiply:                               [tex]\displaystyle V = \frac{4}{27} \pi h^3[/tex]

Step 3: Differentiate

Basic Power Rule:                                                                                          [tex]\displaystyle \frac{dV}{dt} = \frac{4}{27} \pi \cdot 3 \cdot h^{3-1} \cdot \frac{dh}{dt}[/tex]Simplify:                                                                                                           [tex]\displaystyle \frac{dV}{dt} = \frac{4}{9} \pi h^{2} \frac{dh}{dt}[/tex]

Step 4: Find Height Rate

Find dh/dt.

Substitute in known variables:                                                                      [tex]\displaystyle 5 \ cm^3/s = \frac{4}{9} \pi (15 \ cm)^{2} \frac{dh}{dt}[/tex]Isolate dh/dt:                                                                                                   [tex]\displaystyle \frac{5 \ cm^3/s}{\frac{4}{9} \pi (15 \ cm)^{2} } = \frac{dh}{dt}[/tex]Rewrite:                                                                                                           [tex]\displaystyle \frac{dh}{dt} = \frac{5 \ cm^3/s}{\frac{4}{9} \pi (15 \ cm)^{2} }[/tex]Evaluate Exponents:                                                                                      [tex]\displaystyle \frac{dh}{dt} = \frac{5 \ cm^3/s}{\frac{4}{9} \pi (225 \ cm^2) }[/tex]Evaluate Multiplication:                                                                                  [tex]\displaystyle \frac{dh}{dt} = \frac{5 \ cm^3/s}{100 \pi cm^2 }[/tex]Simplify:                                                                                                          [tex]\displaystyle \frac{dh}{dt} = \frac{1}{20 \pi} \ cm/s[/tex]

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $36.04
The amount of the tip is approximately $
$7.00
O $7.20
0 $7.25
$7.50

Answers

Answer:

36.04

The amount of the tip is approximately $

$7.00

O $7.20

0 $7.25

$7.50

Step-by-step explanation:

36.04 !! I’m going by the answer above so i don’t know if he right but I hope so!!

Brianna has a container with a volume of 1.5 L she estimates the volume to be 2.1 m what is the percent error

Answers

Answer: 40%

===================================================

Work Shown:

Subtract the values to get 2.1-1.5 = 0.6

Brianna is off by 0.6 liters

Divide that error by the true value 1.5 to get 0.6/1.5 = 0.40

Then move the decimal point 2 spots to the right to arrive at 40%

Therefore, the percent error is 40%

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

The formula you can apply is:

[tex]P = \frac{|G-T|}{T}*100\%[/tex]

where

P = percent error

G = guess value (in this case it is 2.1)

T = true value (which is 1.5 in this case)

If we were to apply the formula, then we get:

[tex]P = \frac{|G-T|}{T}*100\%\\\\P = \frac{|2.1-1.5|}{1.5}*100\%\\\\P = \frac{|0.6|}{1.5}*100\%\\\\P = \frac{0.6}{1.5}*100\%\\\\P = 0.40*100\%\\\\P = 40\%\\\\[/tex]

Is 17/23 a irrational number

Answers

Answer:

NO.

Step-by-step explanation:

An irrational number cannot be written as a fraction.

If Z is a standard normal variable find the probability. The probability that Z lies between -0.558 and 0.558

Answers

Answer:

0.4245

Step-by-step explanation:

The probability that Z lies between -0.558 and 0.558 can be written as;

P(-0.558 < z < 0.558) = P(z < 0.558) - P(z < -0.558)

Using z - distribution table, we have;

P(z < 0.558) = 0.7122

P(z < -0.558) = 0.2877

Thus;

P(z < 0.558) - P(z < -0.558) = 0.7122 - 0.2877 = 0.4245

Ema’s family has completed 60% of a trip. They have traveled 45 miles. How far is the trip?

Answers

Answer:

72 miles

Step-by-step explanation:

60% times 45 = 27

27 + 45 = 72

Answer is 72 miles

Answer:

Ema's Family would drive 72 miles

Step-by-step explanation:

Hope this helps :)

And I hope this is correct

Which equation represents the rectangular form of Theta = StartFraction 5 pi Over 6 EndFraction?
StartRoot 3 EndRoot x minus y = 0
StartRoot 3 EndRoot x + y = 0
StartRoot 3 EndRoot x minus 3 y = 0
StartRoot 3 EndRoot x + 3 y = 0

Answers

Answer:

D. StartRoot 3 EndRoot x + 3 y = 0   (or √3x + 3y = 0)

Step-by-step explanation:

This is about converting polar coordinate to rectangular

Relationship between coordinates is:

x = r cosθy = r sinθ

then

y/x = sinθ/cosθy/x = tanθ

We have θ = 5π/6, finding the value of tan:

tan 5π/6 = tan (π - π/6) = - 1/√3 = - √3/3

Substitute tan with its value:

y/x = -√3/3 3y = -√3x3y + √3x = 0√3x + 3y = 0

Correct option is D

Answer:

I did option d !!

Step-by-step explanation:

y-x^2=5 written in function notation

Answers

Answer:

f(x) = x² + 5

General Formulas and Concepts:

Algebra I

Equality PropertiesFunction Notation

Step-by-step explanation:

Step 1: Define

y - x² = 5

Step 2: Rewrite

Add x² to both sides:                    y = x² + 5Rewrite y:                                       f(x) = x² + 5

What's 7.3 and 23 as a precent and what's 2/5 as a precent

Answers

Answer:

730% 23% and 40%

Step-by-step explanation:

.......

12 years ago, Catherine deposited $200 in a savings account that pays 7.25% simple
interest What is the balance in Catherinesco

Answers

Answer:

$374

Step-by-step explanation:

First you need to find how much money does the back pay per year

$200*7.25

=1450

1450/100

=14.5

Secondly you need to find how much does Catherine have in 12 years

14.5*12 years

=$174

Lastly add the money she already had 12 years ago to how much the bank payed in that 12 years

$200+$174

=$374

When the area of a square is increasing four times as fast as the diagonals, what is the length of a side of the square

Answers

Answer:

Length of a side of a square = 2√2 units

Step-by-step explanation:

Let the length of a square is 'x' units.

Therefore, Area of the square A = (Side)²

                                                      = x² square units

And by Pythagoras theorem,

(Diagonal)²= (Side 1)² + (Side 2)²

                 = x² + x²

                 = 2x²

Diagonal 'p' = x√2 units

It is given in the question that area of the square is increasing four times as fast as the diagonals.

[tex]\frac{d(A)}{dt}=4(\frac{dp}{dt} )[/tex] -------(1)

[tex]\frac{d(A)}{dt}=\frac{d(x^2)}{dt}[/tex]

[tex]\frac{d(A)}{dt}=2x\frac{d(x)}{dt}[/tex]

Similarly, [tex]\frac{d(p)}{dt}=\frac{d(x\sqrt{2})}{dt}[/tex]

                      [tex]=\sqrt{2}\frac{dx}{dt}[/tex]

Now by placing the value of [tex]\frac{d(A)}{dt}[/tex] and [tex]\frac{d(p)}{dt}[/tex] in equation (1),

[tex]2x\frac{dx}{dt}=4\sqrt{2}\frac{dx}{dt}[/tex]

[tex](2x - 4\sqrt{2})\frac{dx}{dt}=0[/tex]

Since, [tex]\frac{dx}{dt}\neq 0[/tex]

[tex](2x - 4\sqrt{2})=0[/tex]

x = 2√2

Therefore, length of a side of the square is 2√2.

Maximus is playing a game. When he rolls the dice he wins if he gets an even number and loses if he gets an odd number. Which of the following statements is FALSE?

a. The count of rolling an odd number from a sample proportion size of 100 can be approximated with a normal distribution
b. Rolling an even number is considered a success
c. The count of rolling an even number can be approximated with a normal distribution
d. The count of rolling an odd number can be approximated with a normal distribution

Answers

Answer:

a. The count of rolling an odd number from a sample proportion size of 100 can be approximated with a normal distribution.

Step-by-step explanation:

Whenever we roll a fair dice, the possible outcomes are { 1, 2, 3, 4, 5, 6}. In this three numbers are even numbers, i.e. {2, 4, 6}.

The probability of getting an even number is [tex]$p (\text{even}) =\frac{3}{6} = \frac{1}{2}$[/tex]

Since each of the rolls is independent and each probability of getting even remains the same.

Using the central limit theorem, the sampling distribution of a large sample, usually more than 30 can be approximated by the normal distribution. A single roll of an even or odd number cannot be approximated by a normal  distribution, it follows the Binomial distribution.

If number of rolls are large, then a normal approximation can be used.

Answer:

The count of rolling an odd number from a sample proportion size of 100 can be approximated with a normal distribution.

Step-by-step explanation:

Write a Play
Write a short play about the
adventures of characters x, y, m, b,
as they travel around the coordinate
plane. Have your characters meet
many friends and relatives along the
way. The purpose of your play is
to educate the audience about the
mathematics in this topic through
action, dialogue, staging, and props.

Answers

Answer:

math is a difficult subject

Which list shows the numbers in order from least to greatest?

479, 4.79, 4.709


479, 4.709, 4,79

4.709, 479, 4.79

4.79, 479, 4.709

4.79, 4.709, 479

Answers

The answer would be 479, 4.79, 4.709
The actual answer would be 4.709, 4.79, 479


What is an equation of the line that passes through the point (-6, -3) and is
parallel to the line 5x – 3y = 9?
Answer:
Submit Answer

Answers

9514 1404 393

Answer:

  5x -3y = -21

Step-by-step explanation:

The parallel line will have the same x- and y-coefficients, but a constant suitable for the given point.

  5x -3y = constant

  5(-6) -3(-3) = constant = -30 +9 = -21

The equation of the line is ...

  5x -3y = -21

At the Italian deli, the sandwich maker cut 4 2/3 lb of turkey and 9 3/5 of roast beef. How many more pounds of roast beef were cut?

Answers

Answer:

4 14/15 more pounds of roast beef

Step-by-step explanation:

subtract 4 2/3 from 9 3/5

9 3/5 - 4 2/3= 4 14/15

So your answer is 4 14/15

Please help!!!!!!!! ​

Answers

Answer:

He rode 20 miles in 2 hours

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