A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the number of ounces of

A = x

B = y

A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?

Our system of equations is given as

x + y = 90.... Equation 1

x = 90 - y

40% × x + 55% × y = 45% × 90 ounces

0.4x + 0.55y = 40.5....Equation 2

We substitute 90 - y for x in Equation 2


Related Questions

Which table shows a probability distribution?


X 0 1 2 3
P −0.3 0.6 0.5 0.2

X 0 1 2 3
P 0.4 0.3 0.4 0.1

X 0 1 2 3
P 0.1 0.5 0.3 0.1

X 0 1 2 3
P 0.3 0.1 0.2 0.2

Answers

Considering that it has only positive probabilities, and the sum of the probabilities is of 1, the table that shows a probability distribution is given by:

X 0 1 2 3

P 0.1 0.5 0.3 0.1

When does a table represent a probability distribution?

A table is formed by a set of points (x, P(x)), and represents a probability distribution if:

The sum of the probabilities is of 1.All probabilities are 0 or positive.

In this problem:

In the first table, there is a negative probability, which is P(X = 0) = -0.3.In the second and the fourth tables, the sums are of 1.2 and 0.8, respectively.

Hence, the table that represents a probability distribution is given as follows:

X 0 1 2 3

P 0.1 0.5 0.3 0.1

More can be learned about a probability distribution at https://brainly.com/question/24855677

Simplify ech answer into a fraction, Show all work please!

Answers

Answer:

the first one is -9/40. the second one is 109/20. the third one is -8/35.

Step-by-step explanation:

here is the work for the first one 3/8-.6 and convert into a simplified fraction and came up with -9/40. here is the work for the second one 4 4/3+0.7 and then convert into a simplified fraction and came up with 109/20. here is the work for the third one 4/7-0.8 and then convert into a simplified fraction and came up with -8/35.

Help with number 1 please.

Answers

Answer:

Step-by-step explanation:

Evaluate the expression (3 + m)^3 , when m=2

Answers

sub the number in
(3+2)^3
=5^3
=125

Answer:

the answerrrrrrrrrrr is 27+54m+36m^2+8m^3

Complete the equation of the line through (3, -1) and (4, 7)

Answers

Answer:

y=8x-25

Step-by-step explanation:

first i find the slope which is 8 thennnnn

i substituted the x and y values and solved

then i just pieced it all together

13 POINTS FOR THIS GUYS PlEASE HELP

Answers

Answer:

I'm pretty sure

dependent: total video games

independent: number of months

What is the distance between the points round to the nearest tenth if necessary (-7,-4) (4,5)

Answers

Answer:

-3 and 1

Step-by-step explanation:

-3 and 1 hope this helps!!

A traveler is walking on a moving walkway in a n airport. The traveler must walk back on the walkway to get a bag he forgot. The traveler's ground speed is 2 ft/s against the walkway and 8 ft/s with the walkway. What is the traveler's speed off the walkway? What is the speed of the moving walkway?

Answers

Answer:

The traveler's speed off the walkway is 4 ft/sec

The speed of the moving walkway is 2 ft/sec

Step-by-step explanation:

Please help with this

Answers

Answer:

What is your question?

______________________________

Please rate my answer and say thanks!

PLZZZ HELPPPP MEEEEE PLS

Answers

Answer:

negative; -1/4

Step-by-step explanation:

help pls ! I’ll mark brainliest

Answers

Answer:

[tex]y = x + 3[/tex]

Step-by-step explanation:

Y in math is usually referred as the output.

X is usually the input.

In other words,

y is 3 more greater than x.

In other words,

[tex]y = x + 3[/tex]

Will's suitcase must weigh less than 50 pounds. Choose the inequality that best represents the situation. a: x ≤ 50 b: a<50

Answers

Answer:

A

Step-by-step explanation:

Solve the system of linear equations by elimination.

2x+5y=16
3x−5y=−1

Answers

The Answer is (3,2)
The answer is 3,2 hope this helps

PLZ HELP WITH MATH!!!

Answers

Answer:

128 in.^2?

Step-by-step explanation:

a rectangle is also a parallelogram, so find the area of the rectangles.

if it is a 30-60-90 triangle, 8 inches is x, and to find the sides, it is either (x)sqrt(3), or in this case, 2x, so 16x8= 128?

Can you please help me

Answers

Answer:

Q1: equal

Q2: smaller

Q3:equal

Q4 smaller

Q5: bigger

Step-by-step explanation:

a recipe calls for 5/8 cup of sugar for every 5 teaspoons of vanilla. what is the unit rate in cups per teaspoon?

a) 3 1/8
b) 1/8
c) 8
d) 8/25

Answers

Answer:

b) 1/8

Step-by-step explanation:

5/8 ÷ 5 = 1/8

The unit rate in cups per teaspoon is 1/8 cup of sugar.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

5/8 cup of sugar=5 teaspoons of vanilla.

or, 5 teaspoons of vanilla = 5/8 cup of sugar

So, 1  teaspoon of vanilla = (5/8)/5 cup of sugar

(5/8)/5 = (5/8)*(1/5)

(5/8)/5 =1/8

So, 1 teaspoon of vanilla = 1/8 cup of sugar

Hence, the unit rate in cups per teaspoon is 1/8 cup of sugar.

To get more about unitary methods visit:

https://brainly.com/question/24587372

Which of the following is a property of all squares?
A.
There is only 1 pair of parallel sides.
B.
All 4 sides are congruent.
C.
There are 4 acute angles.
D.
Consecutive angles are complementary.

Answers

Answer:D.All sides are congruent

The solution is:  a) Opposite sides are parallel, the following is true for all parallelograms.

What is parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Here, we have

a) In a parallelogram, opposite sides are parallel (which is why it is called a Parallelogram).

b) Opposite angles are congruent (not ALL angles). The only parallelograms where all of the angles are congruent are Squares and Rectangles.

c) Consecutive angles are supplementary so their SUM must be 180°. Therefore if one angle is less than 90° (acute), the other angle must be greater than 90° so it is not possible that all angles are acute (∠ 90°).

d) The sides do not have to be equal.  The only parallelogram whose sides have equal lengths are Squares.

Hence, The solution is:  a) Opposite sides are parallel, the following is true for all parallelograms.

To learn more on parallelogram click:

brainly.com/question/6166074

#SPJ2

complete question:

What of the following is true for all parallelograms? Opposite sides are parallel. All four angles are congruent. All four angles are acute angles. All four sides are equal in length.

A tabletop in the shape of a trapezoid has an area of 5029 square cenimeters. Its longer base measures 123 cenimeters, and the shorter base is 65 cenimeters. What is the height?​

Answers

Answer:

Length of height = 53.5 cm

Step-by-step explanation:

Given:

Area of trapezoid = 5,029 cm²

Length of longer base = 123 cm

Length of shorter base = 65 cm

Find:

Length of height

Computation:

Area of trapezoid = [(a+b)/2]h

5,029 = [(123 + 65)/2]h

5,029 = [(188)/2]h

5,029 = [94]h

Length of height = 53.5 cm

Simplify the below Question and solve, based on linear equations in 2 variables

Answers

Answer:

x=-1/2

Step-by-step explanation:

hope it helps you

have a great day:)

Decide whether 2 x + 8 and 2(× + 4) + 4 are equivalent expression. explain how you know.​

Answers

Answer:

They are not equivalent

Step-by-step explanation:

2(x+4)+4

First you distribute the 2.

2x+8+4

Then combine like terms

2x+12

Therefore they are not equivalent

i will mark brainliest if correct pls help

Answers

Answer:

1/6

Step-by-step explanation:

3/18= 1/6. (y-y)/(x-x)

Leah asks people at a theater how old they are. She finds that 8 out of
75 people are under the age of 12. If there are 2,434 people at the theater, how many people can Leah expect to be under the age of 12 based on the experimental probability?

Answers

Answer:

9

Step-by-step explanation:

Find the volume of each figure. Round your answers to the nearest hundredth, if necessary

Answers

Answer:

666.67π .ft^3

here's your solution

=> radius of cone = 10 ft

=> height of cone = 20 ft

=> volume of cone = πr^2h/3

=> putting the value of radius and height

=> volume = 10^2*20/3π

=> volume = 666.67π .ft^3

hope it helps

what is t- 40= 3 please help

Answers

Answer:

t = 43

Step-by-step explanation:

t - 40 = 3

t = 43

Add 40 to both sides.

Denine sees a 2.8-kilo block of cheese.

If there are 2.2 pounds in 1 kilogram (kilo), what is the weight of the block of cheese in pounds?

Answers

Answer:

1.27

Step-by-step explanation:

find the value of x plz help <3

Answers

61 I believe because you have to subtract 90 ok bye now have a great day!

Please help guys I don’t need nomore scammers

Answers

I think the answer is 15x - 9x^2 - 12

Find the Roots of the following polynomial.

x3−5x2+6x = 0

Answers

Answer:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

Step by step solution :

STEP

1

:

Equation at the end of step 1

((x3) - 5x2) - 6x = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

x3 - 5x2 - 6x = x • (x2 - 5x - 6)

Answer:

x≈1.30027097

Step-by-step explanation:

That is the answer

Hope this helps    :)

Matti has one more pencil than Chang-Lin. Renaldo had three times as many as Chang-Lin, and one more than Jorge. Jorge has 5 pencils, how many pencils does Matti Have?

Answers

Answer:Matti has 3pencils

Step-by-step explanation:

Given that Jorge has 5pencils

Renaldo has 1more than Jorge that means ,he has 5 +1=6pencils

But also

Renaldo =3Chang-Lin

6==3Chang-Lin

Chang-Lin = 6/3 =2

Since Chang-Lin has 2, Matti having 1more I than Chang-Lin will have 2+1=3pemcils

what is a triangle with a 90 degree angle

Answers

Step-by-step explanation:

It's a right angled triangle.

Other Questions
find the value lamda... Find the inverse of the function.f(x) = -3x + 7 When a spring is compressed the energy changes from kinetic to potential which best describes what is causing the changeA. WorkB. powerC. Gravitational energyD. Chemical energy PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!does the image best represent the north or the south and why? cite evidence from the image to justify your answer. Why were Americans so driven to expand across the continent? Was it simple greed, or did they have a different reason? Provide at least one piece of evidence in your answer. Why were Americans so driven to expand across the continent? Was it simple greed, or did they have a different reason? Provide at least one piece of evidence in your answer. .8. The Arab Spring refers to a wave of protests that occurred in North Africa and the MiddleEast in 2010 and 2011. What was a result of these protests?A. Some gains in democratic governments and civil wars in the Middle East and NorthAfrica.B. The fall of every monarchy in the area.C. A decrease in the number of citizens who live in poverty.D. An increase in unlimited governments with strict control over the government. What is the solution to the system of equationsY=x+6Y= -0.5x+3 ASAP What do they feel about dead ancestors in Ancient China? (How were they connected) Perfect Parties, a party supplies store, always gets busy around graduation.Currently, they have 3 orders: one for 500 balloons, one for 275 balloons,and one for 125 balloons. Each balloon must be tied with a 5-foot-longribbon. How many yards of ribbon do they need for their current orders?yards when was NAM established When wood combines with oxygen and burns, ashes and carbon dioxide are produced. How does the Law of Conservation of Matter relate to this observation?A. The mass of the wood will be destroyed.B. The weight of these substances will change but the mass will stay the same.C. The mass of each of these substances will be the same before and after the reaction.D. The mass of the wood and the oxygen burned will equal the mass of the ashes and the carbon dioxide produced during the reaction. PLS HELP ASAP!its due very soon so tysm if u help me :) Which describes Phoenician traders?A) They traveled great distances over land.B)They traveled great distances by sea.C)They mostly traded within the Greek islands.D)They mostly traded with Asia Minor. Which sentence from the article BEST describes the effect that Rork's program has had?AIn February, for example, Arizona Chihuahua Rescue worked with Gables organization to transfer 25 Chihuahuas to animal rescue group in Pennsylvania.BIts something thats been done for a while, but thats gaining a lot of momentum right now, McDonell said.CBut now people can find what they need at the shelters, and that way we help reduce overpopulation.DIn 2012, 2,476 Chihuahuas were euthanized, he said. (11y-36)63Solve for y Solving Systems of Equations by Substitution pdf Fill in the blanks to explain how tomato plants fight aphids PLEASE HELP!!!What reasons could possible make honeysuckle considered as invasive and not endangered? Which component of the universe contains all of the other components listed below and would have thegreatest mass? in what way does PPE help in protecting the nail technician from the possible risk that he or she might experience?