How many quarts of pure antifreeze must be added to 8 quarts of a 20% antifreeze solution to obtain a 30% antifreeze solution?


(Round to the nearest tenth as needed.) ​

Answer:

n = - 4, - 3, - 2, - 1, 0, 1, 2

Step-by-step explanation:

Given

- 15 < 3n ≤ 6 ( divide the 3 intervals by 3 )

- 5 < n ≤ 2

Thus  n ≠ - 5 but n can equal the upper limit of 2

Hence

n = - 4, - 3, - 2, - 1, 0 , 1, 2

Answer:

2.Post Office, Library, Park, Town Hall

3.2/6, 3/9, 4/12, 6/18

4. less than 1/2 in.: 1/8, 5/16

equal to 1/2 in.:8/16

more than 1/2 in.:5/8, 9/16, 15/16

Step-by-step explanation: Comment if you want the explanation.

9/12 + 3/12 = 12/12 = 1

Therefore, 1 is your answer.

Answer:

Solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.

Option A is correct answer.

Step-by-step explanation:

We need to solve [tex]\frac{9}{12}+\frac{3}{12}[/tex]

For solving fractions we need to take LCM of denominators.

The LCM of 12, 12 is 12

So, solving:

[tex]\frac{9}{12}+\frac{3}{12}\\=\frac{9*1+3*1}{12}\\=\frac{9+3}{12}\\=\frac{12}{12}\\=1[/tex]

So, solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.

Option A is correct answer.

Step-by-step explanation:

We have been given that a basketball team has 12 players and the coach wants to pick which 5 players will start today's game.

We will use combinations formula to solve our given problem. , where,

n = Number of total items,

r = Number of items being chosen at a time.

Upon substituting our given values in combinations formula we will get,

Therefore, the coach can choose from 792 combinations

Answer:

Step-by-step explanation:

f(x) = 3(x + 4)(x – i)(x + i)(x – 2)

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(6 + 6)/2

Step 2: Evaluate

Answer:

The midpoint is at 20

Step-by-step explanation:

The midpoint of a segment

Given a segment in the number line with endpoints A(xa) and B(xb).

The midpoint coordinate is calculated as follows:

[tex]\displaystyle xm=\frac{xa+xb}{2}[/tex]

We are given the coordinates xa=10 and xb=30, thus the coordinate xm of the midpoint M is at:

[tex]\displaystyle xm=\frac{10+30}{2}[/tex]

[tex]\displaystyle xm=\frac{40}{2}[/tex]

xm = 20

The midpoint is at 20

Answer:

The square root is 12.649.....

Answer:

5m = 5000 mm

Step-by-step explanation:

Answer:

the ratio of this one is 0.2\1

Answer:

To calculate the ratio, we should have both quantities in same units, so we can convert the kilometer into meters, knowing that 1 kilometerr are 1000m.

1 * 1000 = 1000m

We know we need to calculate the ratio 200:1000.

We can know divide both quantities by 200 and get...

200/200:1000/200 = 1:5

And now,, we know this ratio is 1:5..

Answer:

a. 9 b. 87 c.2 d. -9

Step-by-step explanation:

Answer:

-1/15

Step-by-step explanation:

Answer:

x=-15

Step-by-step explanation:

9-3x=12x+10

-10

-1-3x=12x

+3x

-1=15x/-1

Answer:

18

Step-by-step explanation:

The two smaller sides are 15 and the larger one is 18

Answer:

Step-by-step explanation:

Let the length of equal sides be x, then the perimeter is:

The longest side is:

Answer:

4ac + ab + acb Dont mind this, i just need to have this 20 or more characters long: dhdudhsjsksksksjdhdhdjudjsjsjsjssjsjdudhd

Given:

X=number of hours

Y=number of tents made

Table of value.

To find:

The slope and its interpretation.

Solution:

Consider any two points from the table, i.e., (0,6) and (1,7).

The slope is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{7-6}{1-0}[/tex]

[tex]m=\dfrac{1}{1}[/tex]

[tex]m=1[/tex]

Therefore, the slope is 1 and it represent that the number of tents made are increasing by 1 units in each hour.

Answer:

y=-5/7x-3

Step-by-step explanation:

so, we need the equation to be in y=mx+b form.

The equation right now is 5x+7y=-21 in standard form.

We need to isolate y onto one side

Here's the equation:

5x+7y=-21

subtract 5x from both sides

7y=-5x-21

divide by 7

y=-5/7x-21/7

simplify

y=-5/7x-3

Hope this helps! :)

Answer:

4{(9-2)^2}

[tex] {(9 - 4)}^{2} \times (4) \times (9 - 4 - 2)[/tex]

Answer:

180

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The velocity of a moving body is given by the equation:

[tex]v=t^2-5t+4 ,\, t\geq0[/tex]

Is the velocity is positive (v>0), then our object will be moving forwards.

And if the velocity is negative (v<0), then our object will be moving backwards.

We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

[tex]v<0[/tex]

By substitution:

[tex]t^2-5t+4<0[/tex]

Solve. To do so, we can first solve for t and then test values. By factoring:

[tex](t-4)(t-1)=0[/tex]

Zero Product Property:

[tex]t=1, \text{ and } t=4[/tex]

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]

So, the (only) interval for which v is <0 is the second interval: 1<t<4.

Hence, our answer is A.

please friend complete your answer

Answer:

5

7

9

11

13

Step-by-step explanation:

u just have to plot the x values into the x variable if that makes sense

here is an exampla

Answer:

this question is of high school or collage

Answer:

(6,9) and (7,9) - assuming the graph only has a single quadrant and the rectangle is vertical

Step-by-step explanation:

We know that the distance between (6,1) and (7,1) is one unit. Because a rectangle has 2 pairs of equal sides, we know that the distance between the 2 missing coordinates is equal to one. We then add these two units. Because the rectangle has a parameter of 18 units, we then have to subtract these 2 units from the total, leaving us with 16 units for both sides. We then divide 16 by 2 because there are 2 sides, leaving us with 8 units for each side. Assuming we are working with a coordinate graph (with only one quadrant instead of 4 on a coordinate plane), and assuming the rectangle is vertical, the missing coordinates should be 8 units above the coordinates you were given. Hope this helps! :)

Answer:

8 dogs

Step-by-step explanation:

He already has $20 and the game costs $60.Each time he walks a dog he earn $5 so he needs to walk 8 more dogs(5×8=40)

Answer:

8 more dogs

Step-by-step explanation:

$60-$20 =$40

1 dog= 5 dollars

? =40 dollars

4o÷5=8

=8 dogs

Answer:

2/1

Step-by-step explanation:

Rise over run

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}[/tex]

Given that the nth term of the Arthemetic Sequence is given by :-

[tex]\implies f(n) = 8 + 3(n-1) [/tex]

And we need to find the 22nd term .

So in place of n substitute 22 .

[tex]\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }[/tex]

Answer:

Infinite number of solutions

Step-by-step explanation:

when you solve for V, you notice that the term in "v" goes away, and you end up with a true statement:

2 = 2

This is a true statement no matter what values the variable V has, so it is true for all possible (infinite) values of "v".

Answer:

4

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

PEMDAS MATH