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

will give brain for right answer

Answers

Answer:

luna

Step-by-step explanation:

compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

Its 65

1ft=304.8mm

Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of each congruence theorem to prove that need to know.

Answers

The given information on the diagram of the projector and the image can

be used to prove the congruency of the triangles.

∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and

segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem

Reasons:

The figure of the projector that casts an image on the screen is attached.

The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]

From the drawing, we have;

∠ABD ≅ ∠CBD by equal number arc mark.

The two column proof is therefore, presented as follows;

Statement [tex]{}[/tex]                                            Reason

[tex]\overline {BD}[/tex] is perpendicular bisector of   [tex]{}[/tex][tex]\overline {AC}[/tex]   Given

[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex]   [tex]{}[/tex]                                             Definition of bisected line [tex]\overline {AC}[/tex]  

∠BDC = 90°       [tex]{}[/tex]                                      [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠BDA = 90°                         [tex]{}[/tex]                    [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠ABD ≅ ∠CBD [tex]{}[/tex]                                       Given on the diagram

ΔABD ≅ ΔCBD  [tex]{}[/tex]                          by Angle-Angle-Side AAS Congruency rule

The Angle-Angle-Side, AAS, Congruency postulate states that two

triangles are congruent where two adjacent angles and a non included side

on one triangle are congruent to the corresponding two adjacent angles

and a non included side on the other triangle.

Learn more here:

https://brainly.com/question/15274307

Find the angle measure.

The measure of the angle is ?

Answers

Answer:

133°

Step-by-step explanation:

The angle X is the same as the given.

TRANSVERSAL LINE

[tex]\mathbb{ANSWER:}[/tex]

⇒ The two parallel lines are cut by a transversal so the interior angles on the same side of a transversal are congruent. This means that the measurement of the second angle is also 133 degrees.

Hence, the measurement of the angle is also 133 degrees.

please i really need help



The perimeter of each shape is 3 units? True or False?​

Answers

The perimeter of each shape is false
4(2.5x-3)=3(2x-2)
10x-12=6x-6
4x-12=-6
4x=6
x=1.5

2.5(1.5)-3= 0.75
2(1.5)-2=1

False

help please
denominator only

Answers

Answer:

2+3=5 3-5=2

Step-by-step explanation:

that's the answer

A jacket usually sells for $68.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?

Answers

Answer:

$ 43.25

Step-by-step explanation:

68 - 40% = 40.8

40.8 + 6% = $ 43.25

Please help me with this homework …

Answers

Answer:

I think letter B

Step-by-step explanation:

Yyyyyyyygggggggggggggggg

help meeeeeeeeeeeeeee i wll give brainly ponits

Answers

✍️Answer:

<ABC = [ 52° ]

not sure but

hope it helps!

Answer:

[tex] \: [/tex]

∆ ABC → 132 °

Step-by-step explanation:

Given : ∠DBC = 48°

Now we are going to use the property that the sum of angles of a linear pair always equal to 180∘

Therefore,

∠ABC + ∠DBC = 180°

∠ABC + 48 ° = 180° [ ∠DBC = 48° ]

∠ABC = 180° - 48°

∠ABC = 132°

Solve the given equation

x – 1 + 5x = 23

Answers

Step-by-step explanation:

x - 1 + 5x = 23

6x - 1 = 23

6x = 23 + 1 = 24

6x = 24

x = 24/6

x = 4 ans.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.

linear equations

1. 4= x + 2
2. 6= x-3
3. 7= a + 4
4. 6= x - 7
5. 1= c - 2
6. 5= s + 2
7. x + 3=10
8. c + 4= 4
9. 3= b + 2
10. 6 + c= 10
11. 7= x + 3
12. x + 1= 9
13. x + 3= 15
14. y -6 = 4
15. x - 7 = 4
16. 6= x - 4
17. x - 4 = 2
18. x - 9 = 2​

Answers

1. x = 2
2. x = 9
3. a = 3
4. x = 13
5. c = 3
6. s = 3
7. x = 7
8. c = 0
9. b = 1
10. c = 4
11. x = 4
12. x = 8
13. x = 12
14. y = 10
15. x = 11
16. x = 10
17. x = 6
18. x = 11

Does anyone know which one it is??​

Answers

Answer:

Limited economic options

Step-by-step explanation:

Answer:

A i think

Step-by-step explanation:

do to the way peasants lived they did not have options most of the time

helpppppppppppppppppppppppppppppppp

Answers

Answer:

x ≤ -14

Step-by-step explanation:

please help me with this soon much appreciated.

Answers

Answer:

1 : 2

Step-by-step explanation:

this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2

ANSWER PART B


Sia designs a board game in which a card is drawn on each turn.

• A blue card means move forward 4 squares.
• A red card means move back 6 squares.

Liam suggests adding some other cards to Sia's game

Part A
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.

ANSWER PART B


How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. • A green card means move forward 2 spaces. • An orange card means move 8 spaces backward. • A purple card means move forward 10 spaces.

Answers

Answer:

Answer:Back 2

Step-by-step explanation:Blue + Red=-2

Step-by-step explanation:

Round this number to the nearest one.

3.5

Answers

Hello there, hope you are having a nice day.

This is the rule for rounding:

If the number is less than 5, we round down.

    - Example: 3.4 =>3

If the number is greater than or equal to 5, we round up.

     - Example: 6.7 =>7

Using this rule, we can round 3.5:

3.5 =>4

Hope it helps. Ask me if you have any queries.

Please mark Brainliest. It would mean a lot to me.

~An emotional teen who helps others with joy

Good luck.

The minute hand of a clock turns 6 degrees per minute. In ten minutes the minute hand turns what fraction of a full 360 turn?

Answers

Answer:

25%

Step-by-step explanation:

15 times 6 is 90

90 is 25 % of 360

What is (-2) power 35?

Answers

Answer: − 34359738368

what is 39/17 as a decimal rounded to the nearest tenths?

Answers

Answer:

Definitely 2.3

Step by step explanation:

A group of 100 students were asked if they study French Which statements are correct? Check all that apply.
or Spanish in school. The results are shown in this two-
way table.
5 students study both French and Spanish.
63 students study French.
Not
French
French
Total
2 students study neither French nor Spanish.
30 students study French, but not Spanish.
Spanish 5
63
68
63 students study Spanish.
תס
Not
Spanish
30
N
32
Total
35
65
100

Answers

Answer:

2 students study neither french or Spanish

What is the solution for the inequality 4≤r/18+10?

Answers

[tex]4 \leq \dfrac{r}{18} +10\\\\\\\implies 4-10 \leq \dfrac{r}{18}\\\\\\\implies -6 \leq \dfrac r{18}\\\\\\\implies -6(18) \leq r\\\\\\\implies -108 \leq r\\\\\\\implies r \geq -108\\\\\\\text{Interval,}~ [-108 , \infty)[/tex]

make x the subject of the formula
y=a √x

Answers

Answer:

Y^2/a = x

Step-by-step explanation:

Y = a sqr X

Square both sides

Y^2 = a * x

Divide a

Y^2/a = x

Answer:

[tex] x = \dfrac{y^2}{a^2} [/tex]

Step-by-step explanation:

[tex] y = a\sqrt{x} [/tex]

Square both sides.

[tex] (y)^2 = (a\sqrt{x})^2 [/tex]

[tex] y^2 = a^2(\sqrt{x})^2 [/tex]

[tex] y^2 = a^2x [/tex]

Divide both sides by a².

[tex] \dfrac{y^2}{a^2} = x [/tex]

Switch sides.

[tex] x = \dfrac{y^2}{a^2} [/tex]

The stock price of the company was $38. The stock price fell to $12.60. Which is the closest to the percent decrease in this stock price?

Answers

Answer:

66.8421% decrease

Step-by-step explanation:

Will give brainliest!

Answers

Answer:

D. 5/4

Step-by-step explanation:

Reciprocal is flipping that number around

Anyone help for brainlist:)
Determine the graph of the function -->f(x)=2^x−1

Answers

Answer:

it is D

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y = − 1 .  Horizontal Asymptote:  y = − 1

In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?

Answers

Answer:

2.42

Step-by-step explanation:

I AM VERY SORRY IF ITS WRONG

Help please and thank you!

Answers

they would be confirmation

Answer:

... are ...

Step-by-step explanation:

Verify if the ratio of corresponding sides is same:

Long sides ratio: 38/19 = 2Middle sides ratio: 28/14 = 2Short sides ratio: 20/10 = 2

Since the ratios are same the triangles are similar

x-8/2=-14
solve for x

Answers

Answer:

-20

Step-by-step explanation:

-14 x 2 = -28

-28 + 8 = -20

There you go :D

Answer:

-10

Step-by-step explanation:

first Solve for the fraction

-8/2= -4

x-4= -14

next add the negative 4 to 14

x=-10

and there's you're answer!

Fill in the blank.

The

is the intersection of the three medians in a triangle.

O centroid

O incenter

O orthocenter

O circumcenter

Answers

O centroid

Step-by-step explanation:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

PLEASE ANSWER THIS RIGHT ASAP

Answers

Answer:

x=9

Step-by-step explanation:

23=7/9(6x-36)+9

Distribute 7/9.

23=14/3x-28+9

Add.

23=14/3x-19

Add 19 to both sides of the equation.

42=14/3x

Divide 14/3 from both sides of the equation.

X=9

Hope this helps :)

23= 7/9(6x-36)+9
<=>23= 14/3x-83/3+9
<=>43= 14/3x
<=> x= 9
Ok done. Thank to me :>
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