A chemical company makes two brands of antifreeze. The first brand is 40%pure antifreeze, and the second brand is 90%pure antifreeze. In order to obtain 160

Answers

Answer 1

Complete question:

A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 90% pure antifreeze. In order to obtain 160 gallons of a mixture that contains 60% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answer:

Amount of 40% pure antifreeze = y = 96gallons

Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons

Step-by-step explanation:

Brand A = 40% pure

Brand B = 90% pure

Therefore to obtain 160 gallons that contains 60% pure antibfreeze:

Let y = Amount of 40% pure antifreeze required

Therefore (160 - y) = Amount of 90% pure antifreeze required.

Expressing mathematically,

0.4y + (160 - y) (0.9) = 160×0.6

0.4y + 144 - 0.9y = 96

-0.5y = 96 - 144

-0.5y = - 48

y = 48 / 0.5

y = 96

Amount of 40% pure antifreeze = y = 96gallons

Amount of 90% pure antifreeze = ((160-y) = (160 - 96) = 64gallons


Related Questions

By inspection, state whether the following system has one, none, or infinitely many solutions.
6x + 2y = 10
3x + y = 5

Answers

Answer:

infinite solutions

Step-by-step explanation:

Multiply the second equation by 2

6x + 2y = 10

3x + y = 5

6x+2y = 10

This is identical to the first equation

This means there are infinite solutions

The answer is many solutions !

What I said 4 3/6 - 2 5/6

Answers

Answer:

1  2/3

Step-by-step explanation:

The denominators are the same, so we have to borrow from the 4

Borrow  1 in the form 6/6

3 + 6/6+3/6  - 2 5/6

3 9/6   - 2 5/6

1 4/6

Simplify the fraction by dividing the top and bottom by 2

1  2/3

Step-by-step explanation: To subtract mixed numbers, first subtract the fractions.

Notice here however that we have 3/6 - 5/6

which will give us a negative fraction.

Since this will cause us a lot of trouble, instead,

let's rewrite the first mixed number.

We can do this by thinking of 4 and 3/6 as 3 + 1 and 3/6

or 3 + 9/6 by changing 1 and 3/6 to an improper fraction.

So 4 and 3/6 can be written as 3 and 9/6.

So we have 3 and 9/6 - 2 and 5/6.

Now subtract the fractions.

9/6 - 5/6 is 4/6.

So we have 1 and 4/6 or 1 and 2/3.

As an improper fraction, the answer is 5/3.

RS = 6(x - 2) + 6 and RT = 4(2x - 6)

Answers

Step-by-step explanation:

rs= 6x-18 +6

= 6x-12

12 = 6x

12/6 =x

x=2

rt= 8x-24

24=8x

24/8=x

3=x

i hope this helps u

How do you solve with the elimination method??

Answers

Answer: 2=x

Step-by-step explanation: -x+3 = 2x + 1 , 2 = x

I n a polygon, there are 6 right angles and the remaining angles are all equal to 200 degrees each. Find the number of sides of the polygon.
(pls try to help me soon..)

Answers

Answer:

The polygon has a total of 15 sides

Step-by-step explanation:

Mathematically, the sum of the interior angles of a polygon can be calculated using the formula

(n-2) 180

Now there are 6 right angles. A right angle refers to 90 degrees. 6 right angles will be 6 * 90 = 540 degrees

Now the remaining number of angles in the polygon will be n-6 with each of this equal to 200 degrees each

The total amount of the remaining angles will be 200(n-6) = 200n-1200

Now adding all the interior angles will give the sum of 180(n-2)

180(n-2) = 200n -1200 + 540

180n -360 = 200n -660

200n -180n = 660-360

20n = 300

n = 300/20

n = 15

The two triangles below are similar.

What is the ratio of the corresponding side lengths?
4:9
4:2
26:26
4.5:2

Answers

The ratio of the corresponding side lengths are 2:7:5

Answer:

4:2

Step-by-step explanation:

edge2020

The table represents a function who’s is f(5)

Answers

Answer:

F(5) is the same as x = 5

Step-by-step explanation:

F(5) is just saying that the function of x is equal to 5

Between what two integers does square root of 160 lie ?

Answers

Answer:

It would be between 12 and 13.

Step-by-step explanation:

What we must do is find the square root of 160 and then round to the smallest number and the largest number, in this way we will know what integer that root would be, then we have to:

(160) ^ (1/2) = 12.65

If we round to the smallest number it would be 12 and if we round to the largest number it would be 13.

Which means that it would be between 12 and 13.

Find the product of 85 and 25

Answers

Answer: The product of 85 and 25 is 2125 .

85x25 = 2125

Step-by-step explanation:

Hope it works out !

Frederick wants to buy a car, but doesn't have enough money. What is it called when he borrows money from the bank?

Answers

Answer:

The answer is Personal loans or Installment loans.

It’s called a loan when you borrow money from the bank

Can someone help me?

Answers

$10 a month fixed plus $0.10 for each message.  

Variable:

m - number of text messages per month

Function:

c(m) - cost per month in dollars of Text-Pay Plan for m messages

Answer: c(m) = 0.10 m + 10

The Frequent text plan costs $20 for 0 messages (that's the fixed cost) and has a slope of (30 - 20)/200 = 1/20 = 0.05 dollars per message.

f(m) = 0.05 m + 20

How many text messages per month make these equal?

c(m) = f(m)

0.10 m + 10 =  0.05 m + 20

0.10 m - 0.05 m = 20 - 10

0.05 m = 10

m =  10/0.05 = 200

Check:

c(200) = .1(200)+10 = 20+10 = 30

f(200) = .05(200) + 20 = 10 + 20 = 30, good

Answer: 200 messages

What is the value of X?

Answers

Answer:

The answer is 68 degrees.

Step-by-step explanation:

Angles of a triangle add up to 180 degrees. So you have to subtract 75 and 37 from 180. (180 - 75 - 37 = 68)

Answer:

C. 68°

Step-by-step explanation:

The angles in a triangle should all add up to 180°, so...

75°+37°+x°=180°

112°+x°=180°

x°=68°

Find bc plz help can’t quite gets it

Answers

Answer: The answer is 1.5 cm

Step-by-step explanation:

According to the scale drawing and common sense the bottom side of the triangle is smaller than the left side so the only answer that is smaller than 2 cm is 1.5 cm.

Match each description to the appropriate provider or service.
treat time-sensitive emergencies
Hospitals
Medical specialists
offer treatment in a specific field of medicine,
such as cardiology
care for basic needs after regular doctor
hours
Urgent care centers
x
X
General practice doctors and nurse
practitioners
provide counseling for unplanned
pregnancies
Crisis pregnancy centers
care for routine medical needs

Answers

Explanation:

Urgent care centers: care for basic needs after regular doctor hours

Hospitals: treat time-sensitive emergencies

Medical specialists: offer treatment in a specific field of medicine, such as cardiology

General practice doctors and nurse practitioners: care for routine medical needs

Crisis pregnancy centers: provide counseling for unplanned pregnancies

__

Discussion

Urgent care centers are often open all hours, but may not be as fully equipped (or staffed) to provide the sort of emergency medicine that a fully-equipped hospital can provide. While a general- or nurse-practitioner can provide routine care, they will consult with specialists when expertise is needed in a specific area.

Various kinds of pregnancy centers can provide counseling and perhaps some medical services for planned or unplanned pregnancies.

Answer:

all correct    

Step-by-step explanation:

Together bob and tom take 4 hours to get the yard work done. If bob works alone it takes him 6 hours . How long would it take tom working alone to do all of the yard work

Answers

Answer:

6 hours

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

A student lives 3 miles from the library . He is riding his bike to the library . The distance he has remaining y is a function of how long he has been riding his bike

Answers

Would the answer be 6? or 9?

Help me please!!! URGENT!!

Answers

option B

i pretty sure it is

ANSWER
b





WHY
because I said so

. If α and β are zeroes of x*2 – 4x + 1, then 1/α + 1/β – αβ is

3

5

-5

-3​

Answers

I think the answer is c -5

Phil starts with G gallons of gas in his tank Phil used 3/4 of gas and then fills the tank with 5 gallons which expression represents the amount of gas now in his tsnk

Answers

Answer: 5 + 1/4G

Step-by-step explanation:

From the question, Phil starts with G gallons of gas in his tank and Phil used 3/4 of gas. This means:

G - 3/4 = 1/4G

He is left with 1/4G and and then fills the tank with 5 gallons. The expression that represents the amount of gas now in his tank will be:

= 1/4G + 5 or 5 + 1/4G

2) Evaluate:
a.
70
b. 152
c. 43

Answers

What there isn’t any context to answer this

Find the distance between A (4. - 1) and B (-3,0)

Answers

Answer:

hope this is correct

Estimate a 15% tip on a dinner bill of $57.86 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

$70

Step-by-step explanation:

To add a tip, we must multiply the cost of the bill by 1.15. This will give us the total amount including the tip.

57.86 x 1.15 = 66.539

Because this is money, and it wants us to round to the nearest ten dollars, the cost would be $70. (66.539 is closer to 70 than it is to 60)

pls answer. will mark as branliest

Answers

Answer:

80°

Step-by-step explanation:

Angle CBD = 100°

Angle ABC = 180° - 100° = 80°

Angles on a straight line add up to 180°.

Angle ABC and angle EFB are corresponding angles, so they are equal.

= 80°

Answer:

A) x = 80 degrees

B) <CBD = <BFH because of corresponding angles theorem. After that, To find the value of x, We subtract 100(The measure of <BFH) from 180 because x and <BFH were lying on a straight line.

can someone please help me solve?

Answers

Answer:

(C)

Step-by-step explanation:

p - q/2 = 3

p - q = 6

rp - rq = 12

r (p - q) = 12

r × 6 = 12

r = 12/6

r = 2

Given:

p - q/2 = 3

rp - rq = 12

To find out:

Find the value of r ?

Solution:

p - q / 2 = 3

⇒ p - q = 3 × 2

⇒ p - q = 6

Now,

rp - rq = 12 [ Given ]

⇒ r ( p - q ) = 12

⇒ r ( 6 ) = 12

⇒ r = 12/6

⇒ r = 2

Hence, the value of r is 2.

It took Travis and Tony 40 minutes to skate 5 miles. The return trip took them 30 minutes. What was their average speed for the trip?

Answers

Answer:

[tex]\frac{1}{7}\,\,miles/minute[/tex]

Step-by-step explanation:

Given: Travis and Tony took 40 minutes to skate 5 miles and the return trip took them 30 minutes

To find: average speed for the trip

Solution:

Total distance = 5 + 5 = 10 miles

Total time = 40 + 30 = 70 minutes

So,

Average speed for the trip = Total distance/Total time = [tex]\frac{10}{70}=\frac{1}{7}[/tex] miles/minute

What is true about 5–√?

Answers

Answer:

The last one (For Imagine Math)

5–√ is irrational. Its decimal equivalent does not terminate or repeat.

The number √5 is an irrational number

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = √5

Now , the number √5 is expressed as

Since the square root of 5 is irrational, there is no pattern to the decimal expansion and it never ends. It also indicates that it cannot be expressed as a fraction with an integer denominator and numerator.

Consequently, it is impossible to calculate the precise value of the square root of 5

Hence , the number √5 is an irrational number

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

how to find the independent and dependent variable from the equation y=5x-3

Answers

Dependent variable is the output value and the independent variable is the input value. So for y=5x-3, when you input x=3, the output is y=12.

y is the dependent variable.

x is the independent variable.

please please please help me with this question
which is the correct answer​

Answers

Answer:

  (a)  (a² +3a -1)(a² -3a -1)

Step-by-step explanation:

The constant term of the product of the factors will be equal to the product of their constants. Since you want that product to be +1, the signs of the factor constants must be the same. That eliminates choices (c) and (d).

__

To tell which of choices (a) and (b) is correct, we can compute the squared term in their product. Let's do it in a generic way, with the constant (±1) being represented by "c".

We want the a² term in the product ...

  (a² +3a +c)(a² -3a +c)

That term will be the result of multiplying both sets of first and last terms, and adding the product of the middle terms:

  (a²·c) +(a²·c) -9a² = a²(2c-9)

So, we want the factor (2c-9) to be -11, which means c=-1, not +1.

The correct factorization of the given expression is ...

  (a² +3a -1)(a² -3a -1) . . . . matches choice A

HURRY 10 POINTS!!!!

Answers

Answer:

[tex]4\sqrt{7}[/tex]

Step-by-step explanation:

Its a 45, 45, 90 triangle, which means that the hypotenuse is always the equals sides length by [tex]\sqrt{2}[/tex].

[tex](2\sqrt{14} )*\sqrt{2} = 4\sqrt{7}[/tex]

Answer:

[tex]4\sqrt{7}[/tex]

Step-by-step explanation:

The lines on the two sides of the triangle represent congruency (meaning that they both are worth the same value)

Use pythagorean theorem [tex]a^{2} + b^{2} = c^{2}[/tex]. a and b are both the same value

Square root to find c

The answer is then [tex]\sqrt{112}[/tex]  now we need to simplify it further into radical form

Find the greatest set of numbers that include one perfect square and the other a normal number. These numbers should multiply to be 112

These numbers are 16 and 7

16 is the perfect square number because when you square root it, it is a clean number... 4!

The perfect square root always goes outside the radical and the other number (which is 7 in this case) always goes inside the radical

I'm not quite sure what this means can you explain it for me?
The mean is always the best measure of center (describes the data the best).

Answers

Answer:

Ask ur self what does measure means and what does center mean

Same answer as above
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