How many quarts of pure antifreeze must be added to 5 quarts of a 40​% antifreeze solution to obtain a 50​% antifreeze​ solution?

Answers

Answer 1

Answer:

2 quarts of 100% antifreeze.

Step-by-step explanation:

5 quarts/ .40 * x/ 1

.40x= 5

x=2

Answer 2

2 quarts of pure antifreeze must be added to 5 quarts of a 40​% antifreeze solution to obtain a 50​% antifreeze​ solution.

Looking at the concentrations.

100% of x quarts is x quarts of antifreeze.

30% of 5 quarts is .3(5) quarts antifreeze.

Adding that we have 5+x quarts and we want

50% of that to be antifreeze so the total is

.5(x + 5)

x + .3(5) = .5(5+x)

x + 1.5 = 2.5 + .5x

x - .5x = 2.5 - 1.5

.5x = 1

x = 1/.5 = 2 quarts pure antifreeze.

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Related Questions

One number is 19 larger than the other, and the sum of these numbers is 97. What is the larger number? Plz help asap

Answers

Answer:

58

Step-by-step explanation:

I have attached an image with this answer that will help you to visualise this question. I will now explain it.

The smaller number (Number 1) has 1 unit.

The bigger number (Number 2) has 1 unit, and 19.

If you add 19 to the smaller number, you will make two of the bigger number.

[tex]97+19=116[/tex]

This is equivalent to two of the bigger number. (Try to visualise it!)

Hence, divide it by 2 to get one of the bigger number.

[tex]116\div2=58[/tex]

Answer:

58

Step-by-step explanation:

The smaller number (Number 1) has 1 unit.

The bigger number (Number 2) has 1 unit, and 19.

If you add 19 to the smaller number, you will make two of the bigger number.

This is equivalent to two of the bigger number. (Try to visualise it!)

Hence, divide it by 2 to get one of the bigger number.

How do you write 8.095 in word form?

Answers

Answer:

How to Write Out Number 8.095 in Words:

eight and ninety-five thousandths in (US) American English, Number Converted (Spelled Out) to Words.

Answer:

eight and ninety five thousandths

Step-by-step explanation:

A portrait without its frame has a height 1.5 times its width w, in inches. The width of the frame is 4 inches on all sides. What is the area of the frame

Answers

Answer:

Step-by-step explanation: Multiply 4 x 4 or add each side together.

4 x 4 = 16 x 1.5 = 24

The area is 24

Gina buys 4 packs of stickers for her scrapbook there are 9 stickers in each pack each page in the scrapbook holds 6 stickers how many pages does Gina need for these stickers

Answers

Answer:

total stick she has = 9*4 = 36

6 sticker is need in 1 page

so page required for 36 stickers = 36/6 = 6pages

Step-by-step explanation:

The zeroes of the function are​

Answers

The answer is -2 , 0, and 4

What type of angle is angle M? A. Acute B. Obtuse C. Straight or D. right

Answers

Step-by-step explanation:

acute angle is a tiny angle obtuse is a wide 180 straight is just a straight line and a right angle is a right angle which equals 90 degrees

Answer:

Acute angle refers to angle less than 90

Obtuse angle refers to angle greater than 90 but less than 180

straight line angle is equal to 180

right angle is equal to 90

3x + 1 = 5X-13 if anyone knows what to do can they please help ​

Answers

Answer:

  x = 7

Step-by-step explanation:

First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).

If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.

I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.

  3x -3x +1 = 5x -3x -13

  1 = 2x -13 . . . . . . . . . . . . combine like terms

Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:

  1 +13 = 2x -13 +13

  14 = 2x . . . . . . . . . . . . combine like terms

Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.

  (1/2)(14) = (1/2)(2x)

  7 = x . . . . the solution

__

It is generally a good idea to check your work by seeing if your solution value satisfies the equation:

  3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation

  21 +1 = 35 -13

  22 = 22 . . . . . . x = 7 is the solution

_____

Additional comment

By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...

  -2x +1 = -13

Subtracting 1 would give

  -2x = -14

and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.

What is 1/8 of 72 bottles of water

Answers

72 divided by 8 is 9. So 1/8 is 9 water bottles

Mrs. Li wants to compare her students’ test scores to the school average. She created a table to help her.

Answers

Answer:

Cierra & Fionna

Step-by-step explanation:

Anything 0 and above would represent someone passing or getting it spot on. The negatives mean below the average of other students.

Cierra and Fionna scored below average. I we know this because their is a negative by their score, indicating that they scored below average in the test. A plus sign would mean they scored above average, and now sign would mean their test score was just average.


So Cierra and Fionna scored below average.




Hope this helps :)

Question 5 You and a friend share a pizza cut into 8 equal slices. Suppose you each eat 3 slices. What
fraction of the pizza is left over?

Answers

Answer:

3/8

Step-by-step explanation:

PLZ HELP IVE BEEN STUCK ON THIS QUESTION​

Answers

Answer:

A= 16

B=?

Step-by-step explanation: srry about the second one im also confused but i tried my best.

For the given linear function, what are the slope and y-intercept?

Answers

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

I had this question not to long ago and got it right

There are 10 boys and 15 girls. What is the probability of picking double girls

Answers

0.36 since 0.6 * 0.6

Samantha is buying a bike for $290. If sales tax is 6.4%, how much will be added to the price of the bike?

Answers

Answer:

18.56

Step-by-step explanation:

6.4% of 290 is 18.56

you find this by multiplying 290 by 0.064 (which is the decimal form of 6.4%)

HELP PLEASE MY WORK HAS TO BE DUE IN A FEW MINUTES PLEASE HELP

Answers

Given: 2/3 every 30 seconds

If we cut 2/3 in half, we get 1/3. This would also mean we cut the time in half 30 / 2 = 15 seconds

Therefore, 1/3 of the length every 15 seconds.

15 + 15 + 15 = 45 seconds to go the full length of the path

calculate the pay for the following day of a weekly time card given a wage $13/hr
HELP PLEASE

Answers

Answer:

$130

Step-by-step explanation:

The person gets $13 and hour and works for 10 hours 15 minutes. You round down to 10 hours and 10x13=130.

Hope this helps.

The required wage or pay for the day of the weekly time card is $113.75.

Given that,
A table has been shown,
Describing the working hours,
pay per hour =  $13/hr.

Daily wage to be determined

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Here are the total working hour,
= 4:00 + 4:45
= 8:45 hours or (8 + 3/4) hours

Wage per hour = $13/hour
                          = 13 *  35/4
                          = $113.75

thus, the required wage or pay for the day of the weekly time card is $113.75.

Learn more about arithmetic here:

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Let p: It is the year 2020.
q: Montclair University montclair is located in Kansas.
Is ~ PV ~ q true or false?
O True
O False

Answers

The answer is would be true

I think it's TRUE so yeah.

What’s the answer to x/2-12= -14

Answers

Answer:

x = -4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x /2 −12=−14

1 /2 x+−12=−14

1/ 2 x−12=−14

Step 2: Add 12 to both sides.

1 /2 x−12+12=−14+12

1 /2 x=−2

Step 3: Multiply both sides by 2.

2*( 1 2 x)=(2)*(−2)

x = −4

Answer:

-1

Step-by-step explanation:

step 1: X/2-12=-14

step2 : X/2=-14+12

step3 : X/2=-2

step4 : X=-2/2

step5 : X=-1

1:
2
3
Deanna and Lisa are playing games at the arcade. Deanna started with $15, and the
machine she is playing costs $0.75 per game. Lisa started with $12, and the machine
she is playing costs $0.50 per game. After how many games will the two girls have
the same amount of money remaining?

Answers

Answer:

After 12 games.

Step-by-step explanation:

Deanna's money after playing 12 games =

15 - (0.75 × 12) = 6$

Lisa's money after playing 12 games =

12 - (0.50 × 12) = 6$

Pls Help!!! John and his mother left their house for the market simultaneously. While John's mother was walking with a speed of 15 meters per minute, it took John 3 minutes to walk to the market and back to meet his mother. How long did it take John to get to the market, if his speed was 25 meters per minute?

Answers

Answer:

It would take 2.4 minutes

Step-by-step explanation:

Time span can never be different for the same two people. Therefore in 3 minutes, John's mother would have covered a distance of 15(3) = 45 meters. Respectively John would have covered a distance of 25(3) = 75 meters in the same time.

Distance from 'starting point' to the market: 45 m + 15 m = 60 meters,

Time that John takes to return from market, and meet with his mother

=> 15 / 25 (his speed) = 0.6,

Time it takes John to get to the market: 3 - 0.6 = 2.4 minutes

Answer:

2.4 mins

2mins 24 sec

Step-by-step explanation:

Describe and correct the error a student made when naming the polynomial

-2x3 + 5x4 - 3x is a

cubic trinomial

+

Choose the correct answer below

O A. The student did not put the polynomial in ascending order of the degrees of the terms before naming it by the first term. It is a linear trinomial.

O B. The student did not combine like terms before naming the polynomial. It is a degree-8 polynomial.

O C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.

OD. The student did not put the polynomial in standard form before naming it by the first term. It is a quadratic trinomial.

Answers

Answer:

C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.

Step-by-step explanation:

A trinomial is a polynomial with three variables. The polynomial -2x³ + 5x⁴ - 3x has three variables hence it is a trinomial.

The degree of a polynomial is the highest degree of a variable in a polynomial equation.

The polynomial -2x³ + 5x⁴ - 3x can be arranged as The polynomial 5x⁴ - 2x³ - 3x, hence the variable with the highest degree is 5x⁴ which has a degree of 4.

Therefore The polynomial -2x³ + 5x⁴ - 3x  has a degree of 4

This means the polynomial -2x³ + 5x⁴ - 3x is a trinomial with a degree of 4

100 POINT I need answer ASAP WITH WORK PLEASE!!

Answers

Answer:

153.2 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent side/ hypotenuse

cos 40 = x/200

Multiply each side by 200

200 cos 40 = x/200 * 200

200 cos 40 =x

153.20888886=x

To the nearest tenth

153.2 =x

Answer:

AC = 153.2 m.

Step-by-step explanation:

cos(Ф) = adj / hyp

cos(40) = AC / 200

AC = cos(40) x 200

AC = 153.2 m

Please answer ASAP, I will give you brainilest and 5 stars if you get it right and do it quick!!

Answers

4000 is what is said to me lol

Answer:

a) 3.2 cm

b) 6.25 km

Point Q (-2, -2) is translated according to this rule (x - 3, y + 4). Which directions will Point Q be translated?

Answers

Answer:

it would be translated up.

Step-by-step explanation:

(-2,-2)    (x-3, y+4)

-2-3= -5    -2+4= 2

      (-5,2)

-28 (-13)
Can someone please?

Answers

Answer: 364

The negatives turn into positive 28•13=364
the answer is to the equation is 364

what is 4+7 im having a hard time in 2nd grade

Answers

the answer is 4+7=11

Answer: 11

Step-by-step explanation: 7+1+1+1+1 = 11

                                            7   8 9 10 11

What is the slope of the line on the graph?

Answers

Answer: C

Step-by-step explanation:

To find the slope of the line, we need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Let's take any 2 points in the graph. (-2,-1) and (1,5)

[tex]m=\frac{5-(-1)}{1-(-2)}=\frac{6}{3}=2[/tex]

Now, we know that the slope is 2.

Answer:

2

Step-by-step explanation:

To get the slope, identify two points where the line cuts both the x and the y axes.

Then apply the formula for finding the slope;

Slope = (changer in y-coordinates) ÷ (change in x-coordinates)

And the answer is 2

Given f(x) = |X - 9|.The vertex of the function moves from (0,0) nine units where?
left
right
up
down

Answers

Answer:

Right

Step-by-step explanation:

Given function

f(x) = |x - 9|

Let's try point x = 0

f(0) = | 0 - 9 | = | -9 | = 9

So the vertex moves right

See attached

That’s to complicated

Someone help me solve this plz

Answers

Answer:

Slope of it is 6

Step-by-step explanation:

Slope is on the graph going up to the 6 and then to the 4

–4.5t49.5t = 40
Please help

Answers

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

      Multiply (-4.5t)(49.5t):

                     (-4.5t)(49.5t) = -222.75t

      Now, write full equation:

          -222.75t = 40

      Isolate t by dividing -222.75 on both sides:

           [tex]\frac{-222.75}{-222.75}t=\frac{40}{-222.75}[/tex]

      Cancel out left hand side:

            [tex]t=\frac{40}{-222.75}[/tex]

      Simplify your answer:

              [tex]t=-0.17957351[/tex]

      Approximate to 2 decimals:

           [tex]t=-0.18[/tex]

     

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