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

PLEASE HELP, ONLY HAVE A FEW MIN LFT!!!!
A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a scatterplot and trend line based on the data.

Which statement would be a reasonable prediction based on the scatterplot and trend line?

A box with 10 books should weigh about 2 pounds.
A box with 10 books should weigh about 4 pounds.
A box with 10 books should weigh about 6 pounds.
A box with 10 books should weigh about 12 pounds.

Answers

Answer: According to the trendline it would be about 6 lbs

Step-by-step explanation:

Answer:

C.

Step-by-step explanation: I did the test </3

If cot θ= tan (pi/6) what is cos θ? Round your answer to the nearest hundredth.

Answers

Answer:3.46

Step-by-step explanation:

whats is the answer to this equation?

who ever gets the right answer gets 25 points.

Answers

Answer:

51.2 m

Step-by-step explanation:

To find perimeter add all sides up

What Is The Improper fraction for 6/7 and 4/5

Answers

Answer:

11 upon 4 is your 6 upon 4 answer

The graph of g(x) is a parabola that opens upward with a vertex at (-3, 4). Which statement is true?​

Answers

we need to have statements to see which one is true

2/3 x 6 need help asap​

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 x 6 is 4 because when you times the 2 in 2/3 u get 12 and 12/3 is the same as 4

A recent study sought to determine if exercising after studying for an exam may help retain information. The 150 student volunteers that participated in the study were randomly assigned to three groups. All students were given a picture memory task that they studied for 15 minutes. After studying, one of the groups was instructed to exercise for 30 minutes immediately after studying. A second group was instructed to wait 1 hour after studying and then exercise for 30 minutes. The third group was instructed to not exercise after studying. The next day all 150 student volunteers were given a test to determine how well they could remember what they studied. Here are the results:

Answers

Answer:

The correct answer is (A).

Step-by-step explanation:

Because the data came from 3 groups in a randomized experiment, the appropriate test is a chi-square test for homogeneity.

3/4 + 7/8 + 5/6
(this is here because the question was too short)

Answers

Answer:23/8Step-by-step explanation:(LCM of 4,8 and 6 = 24 )

3×6/4×6 + 7×3/8×3 + 5×4/6×4 28+21+20/24

59/24

I hope you got it❤️❤️❤️And thanks your patience ❤️.SORRY

when loaded with iron rods a lorry has mass of 12000kg. if the mass of iron rods is there times that of the empty lorry . find the mass or iron.

Answers

Complete Question

When loaded with iron rods a lorry has mass of 12000kg. if the mass of iron rods is three times that of the empty lorry, find the mass of iron.

Answer:

3000kg

Step-by-step explanation:

Let us represent

Mass of lorry = x

Mass of iron rods = y

x + y = 12000kg..... Equation 1

x = 12000kg - y

We are told that:

If the mass of iron rods is three times that of the empty lorry, find the mass of iron.

x = 3y

We substitute 3y for x in Equation 1

x = 12000kg - y

3y = 12000kg - y

Collect like terms

3y + y = 12000kg

4y = 12000kg

Divide both sides by 4

y = 12000kg/4

y = 3000kg

Note that:

Mass of iron rods = y

Hence, Mass of iron rods = 3000kg

HELP ASAP PLEASE ILL MARK BRAINLIEST

Answers

Answer:120
Explain ,

Which equation is equivalent to 29p + 32?
A 32 - 29p
B 32 + 29p
C 32p + 29
D 32(29-p)

Answers

The correct answer is B.

In a right triangle, one acute angle measure 35 degrees and its adjacent side is 40 yards.
Find the opposite side.
Paragraph. Describe how to find the opposite side of one right triangle with one acute angle of 35 degrees and adjacent side of 40 yards.
Word Bank: right triangle, opposite and adjacent side,

Answers

Answer:

Opposite side =28 yards

Step-by-step explanation:

Tan_°=Opposite÷ Adjacent

Tan 35° =Opposite÷40yards

Opposite=40*Tan35°

Opposite=28yards

If (81)(27)2x-5-93-4⁰, then x = ________

Answers

The value of x that satisfies the equation (81)(27)^(2x-5) - 9^(3-4x) = 0 is x = 17/14.

To find the value of x in the equation (81)(27)^(2x-5) - 9^(3-4x) = 0, we can use the properties of exponents and logarithms to simplify and solve the equation. By equating the bases and exponents on both sides, we can determine the value of x.

We start by simplifying the equation. Applying the exponent properties, we have (3^4)(3^3)^(2x-5) - (3^2)^(3-4x) = 0.

Simplifying further, we get (3^(4 + 3(2x-5))) - (3^(2(3-4x))) = 0.

Using the property (a^b)^c = a^(b*c), we can rewrite the equation as 3^(4 + 6x - 15) - 3^(6 - 8x) = 0.

Combining like terms, we have 3^(6x - 11) - 3^(6 - 8x) = 0.

To equate the bases and exponents, we set 6x - 11 = 6 - 8x.

Simplifying the equation, we get 14x = 17.

Dividing both sides by 14, we find that x = 17/14.

Therefore, the value of x that satisfies the equation (81)(27)^(2x-5) - 9^(3-4x) = 0 is x = 17/14.

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Six times the quantity x -2 is 24. Find the number x

Answers

The answer is 3.7 when rounded

I NEED HELP ASAPPPP ILL GIVE BRAINLIESTTTTTT

Answers

I believe the answer is 279.98.

Which is the most reasonable estimate of 132% of 48?
a.5.2
b.6.5
c.52
d.65

Answers

The most reasonable estimate of 132% of 48 is 60. The correct answer is (C) 52.

To find the most reasonable estimate of 132% of 48,

A reasonable estimate does not exceed the original numbers in a problem. Let us look at a reasonable estimate.
we need to use the following formula:

Most reasonable estimate = Closest multiple of 10To use this formula, we first need to find 132% of 48.132% of 48 can be calculated as follows:132/100 x 48 = 63.36

Now, we need to find the closest multiple of 10 to 63.36.The closest multiple of 10 to 63.36 is 60.

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To find out the most reasonable estimate of 132% of 48, we can multiply the given percentage with 48.

Therefore, the most reasonable estimate of 132% of 48 is 64.

132% of 48 = (132/100) × 48

= 63.36

Since we are looking for an estimate, we can round off the above answer to the nearest whole number. Here, we have two possible options:

63 and 64.132% of 48 is slightly greater than half of 48 (which is 24) + 24. So, the answer should be slightly greater than 48 + 24 = 72. Therefore, the most reasonable estimate of 132% of 48 is 64. Thus, the correct answer is b.6.5.

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Draw a graph which has the following adjacency matrix: [2 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 (b) Label the vertices of your graph A, B, C, D (in any order). (c) How many different paths of length 10 are there from the vertex you labelled A to the vertex you labeled D in the graph you draw in part (a)?

Answers

Given an adjacency matrix, we need to find the graph which has the following adjacency matrix:[2 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0]We know that an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph.The diagonal elements of the matrix are always zero since self-loops are not allowed in a simple graph.The (i, j)-entry of the matrix is 1 if the ith vertex and jth vertex are adjacent, and 0 otherwise. Hence, for the given matrix, there is an edge between vertex 1 and vertex 2 and an edge between vertex 1 and vertex 3. Similarly, there are other edges between vertices.Here is the graph which has the given adjacency matrix:Graph with adjacency matrixFrom the graph above, we can label the vertices A, B, C, D in any order. Let's say we label the vertices as A = vertex 1, B = vertex 2, C = vertex 3, and D = vertex 4.Now, we need to find the number of different paths of length 10 from vertex A to vertex D.The number of paths of length n from vertex i to vertex j in a graph is given by the (i, j)-entry in the n-th power of the adjacency matrix. Here, we need to find the number of paths of length 10 from vertex 1 to vertex 4. So, we need to compute the 10th power of the given adjacency matrix:[2 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0] ^ 10We can use a calculator or software like MATLAB to compute the matrix power. After computing, we get that the (1, 4)-entry of the 10th power of the matrix is 8. Therefore, there are 8 different paths of length 10 from vertex A to vertex D.

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Need to know if this is write. if not, please correct.

Classify each pair of angles listed below as adjacent or vertical.

Answers

They are completely opposite of what they are supposed to be. Switch out the ones you have in adjacent for the ones in vertical

The number of peopie that have "liked" Mindy's Candy Store web

site can be represented by y = 270(1.65), where t is the number of weeks after a

review in a national magazine. Interpret the parameters of the equation. Make a

prediction about the future number of likes on the web site.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that, the number of people who liked Mindy's website is given by :

270(1.65)^t ; t = number of weeks after a review

Interpreting the equation :

The equation represents an exponential growth function :

y = a(1 + r)^t

a = initial amount ; r = growth rate ; t = period

Comparing the function with the equation given ;

270 = a = number of people who liked the website before the review

1 + r = 1.65

r = 1.65 - 1

r = 0.65 ; 0.65 * 100% = 65%

Site grew at a rate of 65% per week after review

Ther predicted number of likes 2 weeks after the review :

y = 270(1.65)^2

y = 270 * 2.7225

y = 735.075

Hence, number of likes after 2 weeks = 735

The total number of passengers riding a certain city bus during the morning shift is 1,100. If the child's fare is $0.5o, the adult fare is $1.25, and the total revenue from the fares in the morning shift is $1,200, how many children and how many adults rode the bus during the morming shift? (Letx and y denote the number of children and adults, respectively.)
=1,000
=1,200

Answers

A total of 233 children and 867 adults rode the bus during the morning shift.

Let x represent the number of children and y represent the number of adults riding the bus during the morning shift.

We know that the total number of passengers is 1,100, so we can write the equation:

x + y = 1,100

The child's fare is $0.50, and the adult fare is $1.25. The total revenue from the fares is $1,200, so we can write another equation:

0.50x + 1.25y = 1,200

To solve this system of equations, we can use substitution or elimination.

Let's use substitution to solve for x:

From the first equation, we have: x = 1,100 - y

Substituting this into the second equation:

0.50(1,100 - y) + 1.25y = 1,200

Simplifying the equation:

550 - 0.50y + 1.25y = 1,200

0.75y = 650

y = 650 / 0.75

y ≈ 866.67

Since we can't have a fraction of a person, we can approximate y to the nearest whole number:

y = 867

Substituting this value of y back into the first equation:

x + 867 = 1,100

x ≈ 233

Therefore, approximately 233 children and 867 adults rode the bus during the morning shift.

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What is the volume 9inches 3inches 5inches

Answers

Answer:

135 can i have brain list

Step-by-step explanation:

9X3X5

A sample of 76 body temperatures has a mean of 98.7. Assume that o is known to be 0.5 °F. Use a 0.05 significance level to test the claim that the mean body temperature of the population is equal to 98.5 °F, as is commonly believed. What is the value of test statistic for this testing?

Answers

The value of the test statistic in the scenario given above is 3.487

The test statistic can be calculated as follows:

t = (mean - hypothesized mean) / (standard deviation / √(sample size))

mean = 98.7

hypothesized mean = 98.5

standard deviation = 0.5

sample size = 76

Plugging these values into the formula, we get the following test statistic:

t = (98.7 - 98.5) / (0.5 / √(76)) = 3.487

Therefore, the value of the test statistic in the above scenario is 3.487

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A backpack is on sale for 30% off. If the sales price is $15.75, what is the original price? Show your work.

Answers

Answer:

$22.50

Step-by-step explanation:

As it is 30% off, $15.75 is 70% of the full price. You can then divide 15.75 by 70 [= 0.225] to get 1% of the full price. Multiply 0.225 by 100 to get the full price. 0.225 x 100 = 22.5

We can check that this answer is correct by multiplying 22.50 by 0.7. If you get 15.75 you know the answer is correct as 15.75 is 70% of the full price.

22.50 should be the answer

Lizzy had test scores of: 72, 94, 108, 60What is the RANGE of her test scores?

Answers

Answer:

48

Step-by-step explanation:

To find the range, you have to subtract the biggest/largest number by the smallest number:

108 - 60 = 48

The range is 48.

someone please help ​

Answers

Answer:

B

Step-by-step explanation:

Hi,

Your slope is in front of the x and your y-intercept is what's being added or subtracted. In this case, 4x is your slope, and +1 is your y-intercept which means that B is correct.

I hope this helps :)

Solving systems of equations using Substitution

Y= -4x +3
Y= 4x +3

Answers

Answer:
Point form: (0,3)
Equation form: x = 3, y = 3

Can someone plz help me

Answers

Answer:

IT's d!!!!!

Step-by-step explanation:

Can the following side measures make a triangle: 11in., 12in. and 13in?

Answers

Answer:

Yes

Step-by-step explanation:

Hello There!

Remember the sum of the two shorter sides has to be greater than the largest side in order for it to be a triangle

11+12 must be greater than 13

11+12=23

23>13 therefore the side lengths can form a triangle

Write an equation in point-slope form and slope-intercept form for each line
1. passes through (1, 9), slope = 2
2. passes through (4, -1), slope = -3

Answers

An equation of a line in point-slope form:  y - y₁ = m(x - x₁)

1.

passes through (1, 9)   ⇒   x₁ = 1,  y₁ = 9

slope: m = 2

The equation:

y - 9 = 2(x - 1)          ←  point-slope form      

y - 9 = 2x - 2           {add 9 to both sides}

y = 2x + 7                ←    slope-intercept form  

2.

passes through (4, -1)   ⇒   x₁ = 4,  y₁ = -1

slope: m = -3

The equation:

y + 1 = -3(x - 4)           ←  point-slope form      

y + 1 = -3x + 12           {subtract 1 from both sides}

y = -3x + 11                ←    slope-intercept form  

An airplane's altitude changed -378 feet over 77 minutes. What was the mean change of altitude in feet per minute?

Answers

Answer:

-4.91 feet

Step-by-step explanation:

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = Total change in altitude / total time

378 / 77 = 4.91

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