How many gallons of a 20% antifreeze solution and a 15% antifreeze solution must be mixed to obtain 30 gal of a 18% antifreeze solution? Round to the nearest gallon

Answers

Answer 1

Answer:

20% antifreeze solution = 18 gal

15% antifreeze solution = 12 gal

Step-by-step explanation:

Let

20% antifreeze solution = x

15% antifreeze solution = y

x + y = 30

0.20x + 0.15y = 30 * 0.18

0.20x + 0.15y = 5.4

x + y = 30 (1)

0.20x + 0.15y = 5.4 (2)

From (1)

x = 30 - y

Substitute x = 30 - y into (2)

0.20x + 0.15y = 5.4 (2)

0.20(30 - y) + 0.15y = 5.4

6 - 0.20y + 0.15y = 5.4

- 0.20y + 0.15y = 5.4 - 6

-0.05y = -0.6

y = -0.6/-0.05

y = 12 gal

Substitute y = 12 into (1)

x + y = 30 (1)

x + 12 = 30

x = 30 - 12

x = 18 gal

20% antifreeze solution = 18 gal

15% antifreeze solution = 12 gal


Related Questions

You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays $9 per hour. You need to earn at least $314 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.

Answers

Answer:

Look Below

Step-by-step explanation:

7x+9x=314 I think that is what you are looking for I am not sure. Please do not be mad if wrong.

The  system of equation of inequalities in various numbers of hours are

h+s≤35

7h + 9s >_314.

To write a system of inequalities.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given that:

The system of equation of inequalities are

h+s≤35

7h + 9s >_314

Therefore , the  system of equation of inequalities in various numbers of hours are

h+s≤35

7h + 9s >_314.

Learn more about inequality here:

https://brainly.com/question/21612724

#SPJ5

Mrs. Smith is making christmas baskets and wants to evenly divide the 36 ornaments and 24 candy canes so that each basket has the greatest number of
ornaments and candy canes without any left over. When you make the greatest # of baskets, how many ornaments will be in each basket?
A.2
B.3
C.6
D.12

Answers

Answer:

C.

Step-by-step explanation:

It is c because 6 can go into both of those numbers when multiplying

Answer:

B. 3

Step-by-step explanation:

We are looking for the greatest number of baskets. The greatest number of baskets is the greatest number that divides evenly into both 36 and 24.

We need to find the greatest common factor of 36 and 24 to find the greatest number of baskets.

36 = 2^2 * 3^2

24 = 2^3 * 3

GCF = 2^2 * 3 = 4 * 3 = 12

The number of baskets is 12.

Now we need to find the number of ornaments that will go in each basket.

36 ornaments / 12 baskets = 3 ornaments/basket

Answer: B. 3

16 üssü 5 sayısının 1 ➗ 8 i kaçtır? ​

Answers

Answer:

The answer is 131072

Step-by-step explanation:

[tex] \frac{1}{8} \times {16}^{5} = 131072[/tex]

How many solutions does this equation have?
10n + 8 = 3 + 10n

Answers

There are no values of x that make the equation true.
Answer: No Solution
The equation has 2 solutions: -0.8 and -0.3.

Explanation:

10n + 8 = 3 + 10n

10n+8 = 0 ............. (1)
3+10n = 0 ............. (2)

(1):
10n+8 = 0

10n = -8

n = -8/10 or -0.8

(2):
3+10n = 0

10n = -3

n = -3/10 or -0.3

The measure of angle 1 is 130°.
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 4, 3, 2.
Which other angle must also measure 130°?

Answers

Answer:

The angle opposite angle 1

Step-by-step explanation:

Opposite angles have the same degree when two lines intersect because they are vertical angles.

Answer:

3

Step-by-step explanation:

The temperatures of two cities were measured at the same time. The
temperature in city A was 60 degrees and rose at a constant rate of 2
degrees per hour.
The temperature in city B was 40 degrees and rose at a constant rate
of 10 degrees per hour.
Enter the number of hours it took for the temperature to be the same in
both cities.

Answers

Answer:

2.5 hours

Step-by-step explanation:

60+2t=40+10t

hope this helps, have a great day :)

help, look at picure

Answers

Answer:

x=3

Step-by-step explanation:

61/4=15 1/4

5(3)=15+(1/4)=15 1/4

math is so hard man but can someone help me

Answers

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

No, because

the first function if you further calculate you have

y= 3(x +5) is y = 3x+15 ; since you have to distribute

the second function if you have to translate is y=3x+5 because if you read it out loud the equation now you will say y equals 3 times x plus 5 like was given

b.
cups of water fill
14
Identical water bottles. How many cups fill each bottle?

Answers

Answer:

bro how many cups fill 14 indentical water bottles

Step-by-step explanation:

question is in complete

or if I take it as x then x/14

hope it helps you

mark me as brainlist

A landscaping company charges customers a
one-time fee and an hourly rate of $10. For 1
hour of service, the company charges $35.
3. Which equation represents the total
charge t for h hours of landscaping?
Ot=10h
=10h+25
0
=250 + 10

Answers

Answer:

t = 10h +25

Step-by-step explanation:

let x be the one-time fee

hourly rate is $10

From given condition,

35 = x + 10*1

x = 35 - 10

x = 25

Therefore equation will be

t = 10h +25

. Chris read 25 books in 135 days. At this rate, in how many days will he read another 5 books? Another 10 books?

Answers

Answer:

5 books - 27 days

10 - 54 days

15 books - 81 days

Step-by-step explanation:

First, you need to find how many days it takes to read one book, to do this, simply divide 135 by 25 (135/5=5.4). Then, you multiply that number by the amount of books it wants to know how long it would take him to read (5 and 15 since it asks "another 10". It could also be 54 if it was asking how many for 10 books not including the 5 he would have read). 5*5.4=27, 10*5.4=54, and 15*5.4=81.

Ram is running a bakery. He has made a street sign to direct people to his bakery. He painted one side of the post and sign. What is the painted area? 10 in 10 in 6 in 45 in 5 in
A. 225 square inches
B. 355 square inches
C. 385 square inches
D. 275 square inches

Answers

Answer:

355 square inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=355

help help help plz plz plz

Answers

Answer:

x = 7

All 8 angles measure 135°

Step-by-step explanation:

(n-2)·180 = (8-2)·180 = 1,080°; this is the total of all interior angles

each angle is equal so we can divide 1080 by 8 and find that each angle measures 135°

to solve for 'x':

16x + 23 = 135

16x = 112

x = 112/16

x = 7

check:  16(7) + 23 = 135

             112 + 23 = 135

             135 = 135

CAN SOMEONE HELP LIKE RN I NEED IT QUICK

Answers

I’m pretty sure it’s 60

Integer exponents

1. 2(9x - 2y) =

2. 2k3 (2k2 + 5k - 4) =

3. 7(6x2 + 9xy + 10y2) =

4. 8x (6x + 6) =

5. 8r2 (4r2 - 5r +7) =



Answers

all answers are in the photo

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Yapın.............. Bir sürpriz.. yardımcı olur musunuz ​

Answers

Answer:

parmak izlerimiz birbirinden farklıdır.

bireysel farklılıklara saygı duyulması insanlar birbirlerini asalanaya başlar ülkede iç savaş çıkabilir mesela

please help me on this will give you brainliest

Answers

Answer:

7.76 × 10^8

Step-by-step explanation:

Answer:

i think i would be 1.94x10^8

Step-by-step explanation:

-Question 4
Jen weighs 100 pounds, Jack weighs 120 pounds, and Billy weighs 80 pounds. What is their average weight?

Answers

Answer:

100 pounds

Step-by-step explanation:

To find their average weight, add all of their weights together then divide it by 3

(100 + 120 + 80) / 3

300 / 3

= 100

So, their average weight is 100 pounds

100 + 120 + 80 = 300

300/3 = 100

Select the correct answer.
Which equation shows function g in factored form?

[tex]g(x)=2x^2-6x-56[/tex]

A.
g(x) = 2(x2 − 3x − 28)
B.
g(x) = 2(x − 4)(x + 7)
C.
g(x) = (2x + 7)(x − 8)
D.
g(x) = 2(x + 4)(x − 7)

Answers

Answer:

The answer is A.

[tex]g(x) = 2( {x}^{2} - 3x - 28)[/tex]

Answer:

Have a great rest of your day :)

Step-by-step explanation:

The residents of a village want to paint a sign that shows the elevation of their village to the sea. Their altimeter shows +2,100 feet. What should their signboard read?

Answers

Answer:

Wassss uppppp

Step-by-step explanation:

i dont know

Write an expression that can be used to find the area of the shaded region.

Answers

Answer:

bkrjrjjrkrkrkririirkr

The hotdog stand at a baseball game sells hotdogs for $3.50 each. The amount, D dollars, Mr. Moore paid for the hotdogs is directly proportional to the number of hotdogs, H, he buys. Identify the constant of proportionality and write a direc

Answers

Answer:

D α H

k = D/H

k = 3.50

Step-by-step explanation:

Amount paid, D is directly proportional to the number of hotdogs, H

D = $3.50 per hot dog

D = $3.50 is directly proportional to 1 hotdog

Hence,

D α H

D = kH

k = proportionality constant

H = 1

3.50 = k

k = 3.50

k = D/H

3 What is the value of x2 + 4 for x = 5? -))​

Answers

Answer:

14

Step-by-step explanation:

substitute 5 for x

5(2) + 4 = 10 + 4 = 14

I need help with this question.

Answers

Answer:

[tex]13 {z}^{8} [/tex]

Step-by-step explanation:

Carlos tiene un terreno cuadrado que mide 8 m por lado. ¿Cuál es el área del terreno?¿Qué operación permite obtenerla?

Answers

Answer:

32 ,multiplica 8 por 2 en cuanto lo vi lo resolví

Jake needs more than 1 3/5 cups of flour to make cupcakes. Which is greater than 1 3/5? A) 8/5 B) 1 3/4 C) 1 2/5 D 1 3/8

Answers

Answer:

C)  1 3/4

Step-by-step explanation:

A) 1 3/5=1 12/20

B) 8/5=32/20=1 12/20

C) 1 3/4=1 15/20

D) 1 3/8=less than 1 3/4

Answer:  Choice B) 1 & 3/4

============================================================

Work Shown:

Convert each fraction or mixed number into its equivalent decimal form. Use a calculator or long division.

1 & 3/5 = 1 + 3/5 = 1+0.6 = 1.68/5 = 1.61 & 3/4 = 1 + 3/4 = 1 + 0.75 = 1.751 & 3/8 = 1 + 3/8 = 1 + 0.375 = 1.375

The decimal value 1.75 is larger than 1.6, so this shows that 1 & 3/4 is larger than 1 & 3/5

An isosceles triangle includes two 72°
angles. Which equation could be used to
find the measure of the third angle?
A X + 72 = 180
B X = 180 - 72
C 72-X= 180
D 180 - 2(72) = X

Answers

I don't understand the options but I will explain it to u!

Step-by-step explanation:

An Isosceles triangle has two equal sides that means , In this question it is given that there are two 72°angles so,

72+72+x =180

(Transpose)

x = 180-(72+72)

x = 180-(144)

Therefore, x= 36

In an isosceles triangle, two sides are equal and their opposite angles are also equal. Then the correct option is D.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

An isosceles triangle includes two 72° angles.

In an isosceles triangle, two sides are equal and their opposite angles are also equal.

And the sum of the angles of the triangle is 180°.

Let the third angle be x. Then we have

72° + 72° + x = 180°

180° - 2(72°) = x

Thus, the correct option is D.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

help today hi have to finish this and I have like 21 more assignments to go

Answers

Answer:

Characteristics? I don't know

Step-by-step explanation:

Answer:

I'm answering so you can give him brainliest!

Step-by-step explanation:

You roll a 6-sided die. What is P(factor of 10)? Write your answer as a percentage rounded to the nearest tenth.

Answers

Answer:

5 is the factor of 10. 5% of 10

1.) 5n + 44/n, (n = 11)​

Answers

ANSWER:
50

STEP BY STEP:
5+44=49
44/44=1
49+1=50

Hope this helps. :)
Answer is in the picture
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