A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answers

Answer 1

Answer:

premium: 165 gallonswater: 120 gallons

Step-by-step explanation:

Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:

  0.95a +0(285 -a) = 0.55(285)

  a = 0.55/0.95(285) = 165 . . . gallons of 95%

  285 -a = 285 -165 = 120 . . . . gallons of water

There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.


Related Questions

Find the slope of the line shown below.​

Answers

Hello! :)

The slope of this line is 0.

Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.

Here, we move 0 units up, so the rise is 0.

No matter what the run is, the slope is 0 anyway.

Hope it helps you!

If you have any questions, feel free to ask! (:

~An excited gal

[tex]SparklingFlower :)[/tex]

Answer:

its 0 sowe

Step-by-step explanation:

what's the slope?
what is the y-intercept?
proportional or not proportional?​

Answers

the slope is 1, so put either “x” or “1” and the y-intercept is at the origin so it’s 0, so put “(0,0)”

Answer:

Slope: 16

y-intercept: (0, 0)

Yes it is proportional

Step-by-step explanation:

What's the slope

To find the slope we can do rise over run.

 192 - 96           96

----------------- = ----------- = 16

    12 - 6              6

So the slope is 16

What is the y-intercept?

For the y intercept we can just look where the line crosses the y-line so (0, 0)

We can check that by inputing some numbers:

y = mx + b -------> 96 = 6 · 16 + b

                            96 = 96 + b

                            - 96     - 96

                               0 = b

in this equation b represents the y-intercept

Is it proportional?

And the definition of a proportional slope is if the equation is y = mx, which in this case it is true, as the equation is y = 16x. (m is the slope which we've already found above)

So evidently the slope is proportional.

Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?

Answers

I need help on this one tooo

59 divided by 4=? PLEASE HELP!

Answers

Answer:

14.75

Step-by-step explanation:

56/4 = 14, 3/4 = .75

add them together

Answer: 14.75

Step-by-step explanation: yeah its 14.75  but if you want to simplify it, then its 14.8

What is the value of the function y= 2x– 3 when X=-1?
-5
-1
2
3

Answers

Answer:

-5

Step-by-step explanation:

A sno-cone machine priced at $140 is on sale for 20% off. The sales tax rate is 6%. What is the price of the sno-cone machine after the discount and sales tax?
A) $112.00
B) $118.72
C) $28.00
D) none of the above

Answers

Answer:

118.72

Step-by-step explanation:

I just used my calculator 0-0 hope this helped :)

2. Write the congruence statement you are missing in order to prove the triangles are congruent for the given
reason.

Answers

A) In order to prove that these triangles are congruent by SAS, we need to have two sides of one triangle congruent to two sides of another triangle and an angle of one triangle (that’s included between the sides) is congruent to an angle of another triangle, the triangles are congruent.

We know that side OU is congruent to itself based on the reflexive property and we have a pair of right angles. However, we don’t know that sides MU is congruent to sides NU which would be our final step to prove these triangles are congruent by SAS.

So we are missing that sides MU and NU are congruent.

For part b, we have a pair of vertical angles which means they are congruent and <F and <S are congruent. For ASA, we need two angles and the included side of one triangle congruent to two angles and the included side of a second triangle.

We are not told that PQ and SQ have the same length, so this would be the information we would need to say these triangles are congruent by ASA.

Find all zeros f(x) = 3x^2+8x+7

Answers

Answer:

Step-by-step explanation:

State if the two triangles are congruent. If they are, state how you know.
See picture for full problem. Please and thank you!

Answers

Answer:

Yes they are.

They are congruent because they have two equal angles and one equal side

for each of the solutions of the equations find two consecutive integers between which the solution is located.

x²=3

Answers

Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.

The equation given is:

[tex]x^2 = 3[/tex]

The solution of the equation given is:

[tex]x = \sqrt{3}[/tex]

The squares of the integers numbers until the square root of 3 are:

[tex]1^2 = 1[/tex]

[tex]2^2 = 4[/tex]

Since [tex]1 < 3 < 4[/tex], the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.

A similar problem is given at https://brainly.com/question/3729492

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST

Answers

Answer: D (n> 8/ 3 )

Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?

Answers

By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20

We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.

Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.

This gives:

($13.00 h^-1)*(67.4 h) = $876.20

This means that Andrew wins $876.20 per week with this job.

If you want to learn more, you can read:

https://brainly.com/question/503614

Let (x) = 6x. The graph of f(x) is transformed into the graph of g(x) by a verticle compression of 1/3 and a translation of 2 units up. What is the equation for g (x)?

Answers

Answer:

g(x) = 2x + 2

Step-by-step explanation:

f(x) = 6x

g(x)= 1/3*f(x) + 2

g(x) = 2x + 2

Ahmed has x pens.
Lucy has 2 more pens than Ahmed.
James has twice as many pens as Lucy.
Write down an expression, in terms of x, for the number of pens James has,

Answers

2(x +2 )

This is the number

What is an eigenvalue.

Answers

Answer: Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).

Step-by-step explanation:


©
Make x the subject of the formula
y = mx – C

Answers

Answer:

x = [tex]\frac{y+c}{m}[/tex]

Step-by-step explanation:

Making it the subject means "setting the equation equal to it"

y = mx – C

y + c = mx

[tex]\frac{y+c}{m}[/tex] = x

x = [tex]\frac{y+c}{m}[/tex]

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

Step-by-step explanation:

Umm is this right or wrong and if it's wrong can you tell me the right answer?

Answers

Answer:

30

Step-by-step explanation:

d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30

IS MITOSIS CELL REPLICATION?

Answers

it replicates the chromosomes

( ꈍᴗꈍ)
introduction to algebra explain

Answers

Answer:

Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.

Step-by-step explanation:

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Hiiii!

Here's what algebra is:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.

In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

Hope it helps! ( ꈍᴗꈍ)

-Nezuko

Sam has 5 dogs and 2 cats. What is the ratio of cats to dogs?

Answers

Answer:

2:5

Step-by-step explanation:

2 cats per 5 dogs

The volume of a rectangular prism is 550 cubic meters.
The length of the rectangular prism is 8 meters,
the width is x - 2, and the height is x + 5.
Find the value of x, and the dimensions of the rectangular prism.
Enter your answer as an integer or decimal.
V = lwh
X=
Width=
Meters
Height=

Answers

The value of x and the dimensions of the rectangular prism are as follows;

x = 7.5 m

length = 8 m

width = 5.5m

height = 12.5 m

volume of a rectangular prism  = lwh

volume = 550 m³

l = 8

w = x - 2

h = x + 5

Therefore,

v = lwh

550 = (x + 5)(x - 2)8

550 = (x² - 2x + 5x - 10)8

550 = (x² + 3x - 10)8

550 = 8x² + 24x - 80

8x² + 24x - 80 - 550 = 0

8x² + 24x - 630 = 0

4x² + 12x - 315 = 0

using quadratic formula,

where

a = 4

b = 12

c = -315

-b ± √b² - 4ac / 2a

Therefore,

x = -10.5 or 7.5

x cannot be negative .

so, x = 7.5

x = 7.5 m

length = 8 m

width  = 7.5 - 2 = 5.5 m

height = 7.5 + 5 = 12.5 m

learn more: https://brainly.com/question/21812790?referrer=searchResults

4. If the slope of one side of a triangle is , what is the slope of the
ALTITUDE that intersects this side?

a.3/2
b. -2/3
C.-3/2
d. None of the above

Answers

Full question please?

(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.​

Answers

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

Dan invested $500 in a savings account that earned 5% interest compounded quarterly. How much is in his account after 5 years?

Answers

Answer:

125

Step-by-step explanation:

Multiply 500x0.05x5

(make sure you change the percentage to a decimal do you will get a wrong answer)

I’m so sorry if my answer is wrong

Which of the following transformation sequences will produce similar, but not congruent, figures?

Answers

Answer:

The selected choice (#2) is correct

Step-by-step explanation:

Any rigid transformation (moving a figure, rotating it, flipping it around will leave the transformed figure congruent with the original. Scaling it (=dilating it) will generate a new figure what is similar to the original: angles remains the same but sides are in proportion.

which of the following theorems proves that abc~def?

Answers

Answer:

D but read below.

Step-by-step explanation:

I take it that the symbol ~ stands for similar. If that is so, then the answer you want is AA, because if 2 angles in a triangle are equal, then all 3 are. So if any 2 equal angles in one triangle are equal to 2 angles in another, then the two triangles are similar.

The equations of three lines are given below. PLEASE HELP ME THIS IS DUE TODAY

NO LINKS OR I WILL REPORT YOU

Answers

Answer:

Line 1 & 2 is Perpendicular

Line 1 & 3 is Neither

and Line 2 & 3 is Neither

2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80

Answers

Answer: Her total amount is $964.80

1928

Step-by-step explanation:

964+964  once s

ANGLES OF A TRIANGLE SOMEONE ANSWER ASAP PLS ! );

Answers

Answer:

∠K = 123°

∠L = 97°

∠O = 83°

∠N = 40°

Step-by-step explanation:

∠K and ∡57° are Supplementary, so their sum is equal to 180°

180 - 57 = 123

∠K = 123°

∠N and ∡140° are also Supplementary

180 - 140 = 40

∠N = 40°

The area of a triangle is equal to 180 when all angles are added together

40 + 57 = 97

180 - 97 = 83

∠O = 83°

∠L is an outside angle, which is equal to the sum of the 2 further angles (in this case ∡57° and ∠N) which we found was 97° when solving for ∠O

∠L = 97°

Now to check ∠K we add ∠O and ∠N

83 + 40 = 123

Now we also check ∠O with ∡140°

140 - 57 = 83

So all of the angles check out correctly

5x=4y make x the subject

Answers

Answer:

[tex]x = \frac{4y}{5}[/tex]

Step-by-step explanation:

[tex]5x = 4y\\\rule{150}{0.5}\\\frac{5x=4y}{5}\\\\\boxed{x = \frac{4y}{5}}[/tex]

Hope this helps.

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