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

I have tried to answer this every method I can and I can't solve it​

Answers

Answer: P1: 17.61 P2: 14.66

Step-by-step explanation:

P1: take total divide by how many numbers used : 229 divided by 13 =17.61

P2: take total divide by how many numbers used : 88 divided by 6= 14.66

How many decimals in multiplication.

Answers

Answer:

In multiplication of a decimal by a decimal number we will learn how to find the product of a decimal by another decimal.

To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.

I need help with question 5

Answers

Answer:Hi!

where is the question?

       

Step-by-step explanation:

Please simplify
(6-√-16)+(-4+√-25)

Answers

Answer:

2+i

Step-by-step explanation:

D) No, you are too afraid of sharks to even attempt the dive!
8) You are interested in retrieving a souvenir from a shipwreck located 115 feet below the water. You
do not have diving equipment, so your dive is limited by the equation y=0.05x2 - 4x – 38
Assumming you are able to retrieve your souvenir, how long do you have to hold your breath until
you resurface?
A) almost 90 seconds B) 38 seconds
C) almost 2 minutes D) a minute and 10 seconds

Answers

Answer:

B. 38 seconds

− 2 5 x − 9 < 9 10 solve and show work please I need help

Answers

Answer:

= -36.4

Step-by-step explanation:

- 25 x - 9 < 910

Add 9 to both sides

- 25 x < 919

Divide -25 to both sides

- 25 / - 25 < 919 / - 25

= -36.4

$1,000 invested at 8% compounded semiannually after a period of 2 years

Answers

Answer:

1160 will be the new amount after 2 years

Step-by-step explanation:

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

Therefore 1160 is the new amount after two years.

Five positive integers have
 a mode of 9,
 and a median of 7,
 and a mean of 6.
What is the greatest possible range of the five integers?

Answers

Answer:

5

Step-by-step explanation:

The mean is 6 and there are 5 intergers.

You'd multiply 5*6=30. That means that the sum is 30.

The values could be: 2 3 7 9 9

These values add up to 20

Have a mode of 9

Have a median of 7

Have a mean of 6

To find the range you would subtract 9 and 2. That gives you 5.

(i don't know if that's the greatest possible range. But 5 would be the range here)

I need #8 done (Show work) will mark brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

Since BD bisects ∠ ABC , then

∠ ABD = ∠ DBC , substitute values

3x + 4 = 55 ( subtract 4 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Step-by-step explanation:

Statement                                          Reason

BD bisects ∠ABC                              Given

m∠ABD = (3x + 4)°, m∠DBC = 55°    Given

∠ABD ≅ ∠DBC                                  Definition of angle bisector

3x + 4 = 55                                         Definition of congruence

3x = 51                                                Subtraction property

x = 51/3                                               Division property

x = 17                                                   Proved

Please need help 100 points

Answers

Answer:

(29/37)-(48/37i)

Step-by-step explanation:

Use complex arithmetic rule:

a+bi/c+di = [(c-di)(a+bi)/(c-di)(c+di)] =[(ac+bd)+(bc-ad)i]/c^2+d^2

To get: (29-48i)/37

Then rewrite it in standard complex form to get your answer.

Hope that helps!

(29/37)-(48/37i) is the answer !!

Dave spent 21 minutes completing a race. He walked 9 minutes and jogged the rest. What
is the ratio of time he jogged to time he walked?

Answers

Dave jogged for 9 minuets and walked for 12 minuets

solve for b please. last one​ 33 points

Answers

Answer:

32

Step-by-step explanation:

6^2= b^2 + 2^2

b^2 = 36- 4

b^2= 32

b= √32

Answer:

√32

Step-by-step explanation:

The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

6² - 2² = b²

36 - 4 = b²

32 = b²

Carlos bought 17 boxes of cereal. This is 20% of the total boxes at the store. In order to find the total number of boxes at the store, what do you need to find?


A) the part

B) the whole

C) the percent

D) benchmark percent

Answers

Answer:

The whole

Step-by-step explanation:

If the part is 20% then you already have a part of a whole, now you need to find the entire thing

Esitmate 242 PLEASEEEEEEEEE I NEED THIS

Answers

Estimating the value of 242+32
Round up the number 242 to 240.
240+32
Round up the number 32 to 30.
240+30
Add 30 to 240.
270
242+32≈270
The Estimated Value of 242+32 is 270.

The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

x= 12 cm

Step-by-step explanation:

Answer:

[tex]x=(4\sqrt{3})/3[/tex]

Step-by-step explanation:

If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]

A random sample of 150 adults was given an IQ test. It was found that 78 of them scored higher than 100. Based on this, compute a 99% confidence
interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 99% confidence interval.

Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

Answers

Answer:

answer in the link

Step-by-step explanation:

How to factor a polynomial with a degree of 4.

Answers

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а​

Answers

Answer:

A≈ 268.76 sq cm.

Step-by-step explanation:

sine 27 = opposite side/hypotenuse

sine 27 = x/40

sin 27(40) = x

18.15961999 =x

18.16 = x

A = 1/2(29.6)(18.1596199)

A = 268.7623759

A≈ 268.76 sq cm.

Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2​

Answers

When you divide same numbers with exponents you would subtract the exponent: a^2/a^1 = a^(2-1) = a

Therefore: 6^-3/6^5 = 6^(-3-5) = 6^-8
Which is also 1/6^8

Solution: C

Please help me with this question! It's a writing question.

Answers

Answer:

That he made a medicine that reduces coughing

Step-by-step explanation:

A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer

Answers

Answer:

50 N

Step-by-step explanation:

Given :-

Mass = 10 kg

Acceleration = 5 m/s²

To find

Force applied

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 10 × 5

We have the final answer as

50 N

(Hope this helps can I pls have brainlist (crown)☺️)

Question :-

A 10 kg computer accelerates at a rate of 5 m/s2.how much force was applied to the computer?

Required Solution :-

The force applied on the computer is 50 N.

Provided that :-

The mass of the computer is 10 kg The acceleration is 5 m/s²

To Calculate :-

The force applied on the computer.

Using Formula :-

Force = Mass × Acceleration

Calculation :-

[tex]\purple{\longrightarrow \sf Force = Mass \times Acceleration}[/tex]

[tex]\longrightarrow \sf Force = 10 \; kg \times 5 \; m/s^2[/tex]

[tex]\longrightarrow \sf Force = 50 \; kgm/s^2[/tex]

[tex]\longrightarrow {\pink{\underline{\underline{\sf{ Force_{(Applied )} = 50 N }}}}}[/tex]

Henceforth :

The force applied on the computer is 50 N.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Find and intercept the slope of this line.

Answers

Answer:

The slope is -4. The amount of money left goes down by 4 with each comic book.

Step-by-step explanation:

The answer is D

simplify this addition 20+(-6x)+6x+(-20)​

Answers

Answer:

0

Step-by-step explanation:

20+(-6x)+6x+(-20)=20-6x+6x-20

                            =0

Ram's income is 35% more than that of Anil's income. By what percent is Anils incomes less than Ram's income? Step by step answer pls i rly need it

Answers

Answer:

100%-35%=75%

so ex-

if ram has an in income is 500

than anil is 35%lower than his so,anil has an income of 350 which is 35%less tan 500.

Answer:

25.9%

Step-by-step explanation:

anil = 100%

ram = 135%

fraction  Anils income is of Ram's income

anil/ram = 100/135

a/r = 0.7407407407

74.1%

percent  Anils income is less than Ram's income?

100% - 74.1% = 25.9%

Daphne gave away 3 more than half of her apples. she gave awya 17 apple in all. How many apples did Daphne have originally?

Answers

Answer:

28

Step-by-step explanation:

Help please will mark brainliest if correct

Answers

Answer: x = 1 and x = -1

4. Find a polynomial function of degree 3 with the given zeros. Write your answer in the form:
Ax) = ax + bx² + cx+d
x= -2, x=-1, x=2

Answers

Answer:

I'm assuming the equation "Ax) = ax + bx² + cx+d" is really meant to read:

A(x) = ax^3 + bx² + cx+d

A(x) = x^3 + x^2 -4x -4

Step-by-step explanation:

(x+2)*(x+1)*(x-2)      [This reflect the fact that x= -2, x=-1, x=2 all result in a zero]

Multiply this out to get A(x) = x^3 + x^2 -4x -4

A parallelogram has an angle whose measure is 4 times the measure of
another angle of the parallelogram. What are the measures of the angles
of the parallelogram?

Answers

Answer:

The measures are 36 and 144 and similarly 36 and 144

5) You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a three.independent or dependent?

Answers

Answer:

Happy Chrismas My friend.

A line passes through the points (1, 4) and (3 -4). Which is the equation of the line?

Answers

Answer:

Step-by-step explanation:

(-4 - 4)/(3 - 1)= -8/2= -4

y - 4 = -4(x - 1)

y - 4 = -4x + 4

y = -4x + 8

answer is option 1

Other Questions
All the offspring of a cross between a black-eyed mendelian and an orange-eyed mendelian have black eyes. This means that the allele for black eyes is ________ the allele for orange eyes. What do you call raising a base to the exponent 2 which factor is used to assign electoral votes to each state? HELP ASAP HURRRRRRRYYYY Which term means an acute condition of confusion, disorientation, disordered thinking and memory, agitation and hallucinations I need helpppp pleaseeee!! Why did those same add new restrictions on women and Africa American men Complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)refer to attachment for question Which equation represent this statement? 5 less than twice a number is 3 2n - 5 = 32n - 3 = 5 5 - 2n = 33 - 2n = 5 Please help me ASAP Im gonna fail this !!! What kind of reproduction dose most plants go through? (i know the answer but do you) hi luvs! I have a question and it's very simple and you get points :) Just let me know if these are grammatically correct in Spanish. if not please correct and let me know my mistakes. Thank you :) Mi casa es marrn. Mi casa frente al parque. Mi casa tiene dos dormitorios, el bao, la cocina, y la sala.hay un cmodo cama y la azul lmpara en mi dormitorios. Yo tener barrer el piso y sacar la basura. thank you. Alis cow gives 2 1/4 gallons of milk each day. How much is this in quarts? Write your answer as whole number or a mixed number In simplest form. Include the correct unit in your answer. Someone plz help me :( knowing what a rainbow looks like because you have seen a rainbow is an example of a / an ________ concept. dnde estudian ana y rubn para los exmenes? translate. Why was einstein not happy with the probable positions of electrons in the orbitals? Primary technology skills are skills that are necessary for success in online education.Please select the best answer from the choices providedF Circumference and area of a circular piece of glass A chessboard has 8 rows of squares with 8 squares in each row . Two players each put 16 chess pieces on the board , with each piece on its own square. How many squares are empty now? Explain your answer.