A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:

A Scientist Has Two Solutions, Which She Has Labeled Solution A And Solution B. Each Contains Salt. She

Answers

Answer 1

Answer:

80? bc yhu cant use solution a because it only has 35...i think

Step-by-step explanation:

if im wrong sorry

Answer 2

The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.

From the information given, we can set up the following equations:

Equation 1: The total amount of solution is 90 ounces, x + y = 90

Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90

Simplifying Equation 2:
0.35x + 0.80y = 36

To solve these equations, we can use substitution or elimination. Let's use the substitution method.

From Equation 1, we can express x = 90 - y and substitute it into Equation 2:

0.35(90 - y) + 0.80y = 36

31.5 - 0.35y + 0.80y = 360

45y = 4.5y = 10

Substituting y = 10 back into Equation 1:

x + 10 = 90

x = 80

Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

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Related Questions

Which polynomials are in standard form?

Answers

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

can someone explain the Pythagorean Theorem to me​

Answers

Answer:

The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').

Step-by-step explanation:

Need help please owo with all of them

Answers

First one d second c and third one a

Answer:

d, c and a

Step-by-step explanation:

O///O

PLEASE HELP AGAIN, SORRY I SUCK AT MATH.

Answers

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

Combine like terms

x+156=180

Subtract 156 to isolate x

x=180-156

x=24

WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!















The cost for a business trip for 3 people is $1,975 per person. The business trip would use 79%
of the company’s travel budget. Find the total amount of money the company has budgeted for
travel. pls show work :)

Answers

Answer:

7500

Step-by-step explanation:

3*1975=5925

5925/.79=$7500

Answer:

5175

Step-by-step explanation:

1975*3=5925

5925/79%=7500 (Take one zero off)

750

5925-750=5175

The Company will pay 5175 in total. But 1725 per each person going.

There are 30 marbles in a bag. You randomly choose 20 marbles from the bag. The results are shown in the table. Predict the total number of red marbles.

Color
Blue 6
Red 12
Yellow 2
There are about how many red marbles?

Answers

Answer:

12 because if you add 6 and 12

Step-by-step explanation:

hope it helps uou !!

Answer:

It's 12

Step-by-step explanation:

hope it helps you !!

PLEASE HELP FAST

Which transformation preserves size and shape. Choose ALL correct answers

A) Dilations
B) Rotations
C) Translations
D) Reflections

Question 2

Which transformations preserve orientation?

A) Translations
B) Rotations
C) Reflections
D) Dilations

Answers

Answer:

A) Dilation  C)Reflections or B) Rotations

Step-by-step explanation:

bz is tangent to circle o. ac is a diameter. mbc=90. mcd=30. mde=20.

state the theorem(s) that you used to find the measures of angles 1-10.

Answers

Answer:

1. Arc angle

2. Angle at circumference

3. Base angle of an isosceles triangle

4. Sum interior of angles in a triangle

5. Sum interior of angles in a triangle

6. The sum of angles on a straight line

7. Sum interior of angles in a triangle

8. Sum interior of angles in a triangle

9. Angle from a tangent to the radius of a circle

10. Alternate angles of line crossing two parallel lines

Step-by-step explanation:

Here, we note that, the angles where derived as follows;

1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°

2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference

∴ The angle at the circumference, angle 2 = 180°/2 = 90°

3.  Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°

4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)

∴ 25° + 90° + ∡C = 180°

Hence ∡C = 180° - (90° + 25°) = 65°

5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius

Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives

∡8 + 90° + 30° = 180°, hence;

∡8 = 180° - (90° + 30°) = 60°

∡8 = opposite ∡8 = 60°

Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)

Therefore ∡5  = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°

6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)

Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°

7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)

∡E + ∡2 = 180° (The sum of angles on a straight line)

∴ ∡E = 180° - ∡2 = 180° - 90° = 90°

Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°

∴ ∡7 = 35°

8. ∡8 = 60° as found above

9. ∡9 = 90° (Angle from a tangent to the radius of a circle)

10. ∡10 = ∡8 = 60° (Alternate angles).

A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver

Answers

driver because it slows them down

Answer:

I believe the answer is C. Driver.

Step-by-step explanation:

The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.

Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same

Answers

Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.

Step-by-step explanation:

Club A can be represented by the equation    y = 23x + 7  where x is the number of months  and y is the cost.

Club B can be represented by the equation   y = 16x + 35  where x is the number of months and y is the cost.

23x + 7 = 16x + 35     set the equation equal each other to solve for x

        -7               -7

23x  = 16x + 28

-16x     -16x

7x= 28

x= 4   now we know the value of  x is 4 so we will put it into the equation and solve for y

y= 16(4) + 35

y= 99

233 is equal to r more than 48?

Answers

I think it’s equal to .hope that helps

Answer:

R = 152

Step-by-step explanation:

what i did was if it is talking about more than 48 something plus 48 is 200 so

200 - 48 = 152

r = 152

so 200 is 152 more than 48

Hope this helpsBrainliest plzAsk any more math questions if you want

Given these what is X if B-X=A

Answers

Answer:

B

Step-by-step explanation:

B-X=A

or

B-A=X

or

X=B-A

[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]

Answer:

answer is B

Step-by-step explanation:

find the missing angle in the triangle

Answers

Answer:

60

Step-by-step explanation:

Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!

Answer:

60

Step-by-step explanation:

If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.

Hey, I need some help with this:
Give an example of what an inverse operation is and how they are used in solving equations

Answers

An inverse operation is writing the opposite sign to another sign

Inverse operations are an operation that undoes each other. For example, addition and subtraction, multiplication and division, squares and square roots.

For example, we have the equation:

2 + 2 = 4

The inverse of this equation is:

4 - 2 = 2

Best of Luck!

Find the volume of the cone

Answers

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

Answer: 37.6991118

Step-by-step explanation:

Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)

y=

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.

We already know that the slope is -2, so that means m = -2.

We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.

Thus, our equation is: y = -2x - 8.

~ an aesthetics lover

y=-2x-8 this should be right i had this same problem before :)

Draw the shape described below and find its total surface area.
A cylinder 25 ft tall with a diameter of 12 f

Answers

Answer:

hope this helps :)

Step-by-step explanation:

8:07

Cylinder volume & surface area (video)

The price of a gallon of milk, in dollars, is measured in the

Answers

What is that the question

Answer:ones

Step-by-step explanation:

Can someone help with step by step

Answers

Answer:

See explanation

Step-by-step explanation:

[tex] In\: \triangle ABC \:\&\: \triangle EDC\\

\angle ABC \cong \angle EDC... (Right \: \angle s) \\

\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]

From the moment the first car started how many hours will it take the second car to catch up to the first

Answers

Answer:

HELP

Step-by-step explanation:

Ben makes $39,600 a year. What the maximum amount he can afford for a mortgage each month ?

Answers

Answer:825

Step-by-step explanation:

can someone help with this please,, also explain if you can..

Answers

Answer:

story 1

Step-by-step explanation:

because it says 2 higher than -2 so -2+2 is 0

Please Help!!! As quickly as possible!!!

Answers

Answer: Bristol's heart rate reaches a maximum of 120

bpm

Step-by-step explanation:

Answer:

Bristol's heart rate reaches a maximum of 120 bpm

At the end of yoga class, Bristol's heart rate returned to her resting heart rate

The graph that models Bristol's heart rate is a parabola

Step-by-step explanation:

Find the area. Will mark brainliest.

Answers

Answer:

54 in^2

Step-by-step explanation:

9*12/2=54 in^2

Answer:

54

Step-by-step explanation:

The formula is 1/2*base*height which is 1/2*12*9. This is equal to 54.

hope this helps:)

In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?

Answers

Answer:

Value of x = 25

Step-by-Step Explanation:

~ Knowing that, in a right triangle ~

sin(40-x)=cos(3x) ⇒

sin(40-x)=sin(90-3x) ⇒

40 - x = 90 - 3x ⇒

40 - x  +3x=90 - 3x  +3x =>

40+2x=90 =>

2x=50 =>

x = 25

Now it is proven to be that,

x = 25

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct????The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.

Answers

Answer:

It's the second description

Step-by-step explanation:

It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.

Answer:

The correct answer is the 2nd option

Step-by-step explanation:

Can someone help and explain A and B please...

Answers

Okay so basically you follow the formulas they provide for you, for the semi circles and the rectangle. and you add them all together for the total cover
^ this is basically the explanation for part A
- once you solve it, multiply that by $2.95 (the cost) and round it up to the nearest cent

sorry if it was a bad explanation, hope it helps aha

Find the interquartile range (IQR) of the data plot below

Answers

Answer:

3.5

Step-by-step explanation:

0 1 1 3 3 3 4 5 7

median= 3

Q1= 1

Q3= 4.5

4.5-1= 3.5

Answer:3.5

0,1,1,3,3,3,4,5,7

Which of the following is equivalent to the complex number i8?
Choose 1 answer:
mi
1
-1
pl
Stuck? Watch a video or use a hint.
Report a problem

Answers

Answer:

1

Step-by-step explanation:

note that i² = - 1

Thus

[tex]i^{8}[/tex]

= i² × i² × i² × i²

= - 1 × - 1 × - 1 × - 1

= 1 × 1

= 1

The value of complex number is 1. Therefore, the option B is the correct answer.

What is the complex number?

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given complex number is i⁸.

We know that, i²=-1

Now, i⁸ can be written as i²×i²×i²×i²

= -1×(-1)×(-1)×(-1)

= 1

Therefore, the option B is the correct answer.

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Solve: 5/9 + (-4/5)

Answers

Answer:

-11/45

Step-by-step explanation:

5/9 + (-4/5)

25/45 + (-36/45)

(Multiplied each side by opposite denom.)

25/45 -36/45

Simplify

25-36=-11

-11/45

Cannot simpfily

Answer:

Step-by-step explanation:

5/9 + (-4/5)

-11/45 or − 0.244444444 and on and on forever

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