Is it possible to find a value of $x$ so that the value of the surface area (in square inches) is equal to the value of the volume (in cubic inches)?
If possible, what is the value of $x$ ?
Write an equation to justify your answer.

Answer:

9 Litre of 100% acid, 27 Litre of 20% acid solution

Step-by-step explanation:

We know that 1 = 100% while

0.2 = 20%

We assume that x is volume of 100% solution, while y is volume of 20% solution.

x + 0.2y = (36×40/100)

x+0.2y= 14.4--------eqn(1)

x+y=36-------eqn(2)

x=36-y------eqn(3)

Input eqn(2) into 1 we have

(36-y)+0.2y= 14.4

-y+0.2y=14.4-36

-0.8y= 21.6

y=21.6/0.8

y=27

Hence, 27 Litre of 20% acid is required

From eqn(3) we can find value of x

x = 36-27

9 Litre of 100% acid is required

9 Litre of 100% acid, 27 Litre of 20% acid

Hence, the laboratory technician can combine a batch of 9 Litre of 100% acid, 27 Litre of 20% acid an acid solution that is pure acid with another that is ​20% to get the desired​ concentration

Answer:

y=2x

Step-by-step explanation:

It goes up by 2 units every x value so

Answer:

y=2x is your correct answer

Step-by-step explanation:

Answer:

[tex]x = 118[/tex]

Step-by-step explanation:

[tex]42 + 20 + x = 180[/tex]

[tex]62 + x = 180[/tex]

[tex]x = 180 - 62[/tex]

[tex]x = 118[/tex]

Answer:

Yes, if yo get an assignment that you don't get, ask the teacher to explain it to you.

Step-by-step explanation:

Answer:

12 after 2

Step-by-step explanation:

I got this correct on ed2020

Answer:

ratio

Step-by-step explanation:

Answer:

The equation is 3n + 13 = 40 The triplets are 9 years old

Step-by-step explanation:

Answer:it’s an unknown number

Step-by-step explanation:

Find the difference between numbers:

Divide the second number by the first number:

36/108 = 1/33

Divide the third number by the second number:

12/36 = 1/3

The difference is 1/3

Multiply the last known number by 1/3 for the next number:

12 x 1/3 = 4

The next term is 4

Answer:

35

Step-by-step explanation:

20 + 15 = 35

hope this helps

Answer:

a and b

Step-by-step explanation: i took the test and i think thats it

Answer:

9-7= 2

8 / 2 = 4

4 X 9 = 36

4 X 7 = 28

36 students in math class

Answer:

36 students in the math class

Step-by-step explanation:

5.25 + 13

= 18.25

Xavier rode his bicycle for a total of 18.25mi in one week.

Answer:

B.

Step-by-step explanation:

Irrational as π is irrational.

Answer:

90 divided by 15

Step-by-step explanation:

= 6

So 90/15=6 6 Friends

Answer:

90/15=6 so you gave 6 friends paper clips.

Step-by-step explanation:

take 90 and divide it by 15 and you'll get the amount of friends..(im not sure if this is right though but hopefully it is!) <3 hang in there!

Answer:

6000+300+70+4

Step-by-step explanation:

6000 plus 300 =  6300

70 plus 4= 74

6300+74=6374

Answer:

6,000

+  300

+     70

+       4

-------------

6, 3 7 4

Step-by-step explanation:

Answer:

Domain: [-4, ∞)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our line's x-values span from -4 to infinity. Since -4 is closed dot, it is inclusive in the domain:

Interval Notation: [-4, ∞)

Interval Notation: y ≥ -4

9514 1404 393

Answer:

  a: 0; b: 1; c: 1; d: ∞; e: 0; f: ∞

Step-by-step explanation:

Simplify the expressions to put the left and right in the same form. Then compare. If the x-coefficients are the same, there will be 0 or ∞ solutions. If they are different, there will be 1 solution.

If the x-coefficients are the same, look at the constants. If they are different, there will be 0 solutions. If they are the same, there will be ∞ solutions.

__

a) -2x -10 = -6x +4x -8  ⇒  -2x -10 = -2x -8 . . . . 0 solutions

b) 0.8x -4.8 = -0.5x +3.4 . . . . 1 solution

c) -1/4x -7/2 = -3x -4 . . . . 1 solution

d) 2x -8 +x = 3x -6 -2  ⇒  3x -8 = 3x -8 . . . . ∞ solutions

e) 3 -2/5x -12/5 = 2 -2/5x  ⇒  -2/5x +3/5 = -2/5x +2 . . . . 0 solutions

f) 6x -6 +21 = 6x +15  ⇒  6x +15 = 6x +15 . . . . ∞ solutions

Answer:

a)3x+7x-8=18

3x+7x=18+8

10x=18+8

10x=26

x=13/5

b)-8+2x=12x-3

-8+2x-12x=-3

2x-12x=-3+8

-10x=-3+8

-10x=5

x=-1/2

e)4/3x-18+2/3x=7/3x+9

4x-54+2x=7x+27

6x-54=7x+27

6x-7x-54=27

6x-7x=27+54

-x=27+54

-x=81

X=-81

d)-2x-4/5 +8/5 =3x-3

-2x-4+8=15x-15

-2x+4=15x-5

-2x-15x+4=-15

-2x-15x=-15-4

-17x=-15-4

-17x=-19

x=19/17

Step-by-step explanation:

Answer: Roy

Step-by-step explanation:

(5, -1) has a positive x value and negative y value. Therefore, it is in the 4 quadrant which is the bottom right corner. In this case, Roy is the only one in the 4 quadrant where the community center is.

Answer:

its in between joe and dan

Step-by-step explanation:

Answer:

476 girls

Step-by-step explanation:

total students : 850

56% of 850 = 476

Answer:

The first one, 14 weeks of dance classes.

Step-by-step explanation:

She paid $753.95 as a total for all of the classes, not just one week. She paid her registration free, which you subtract from 753.95 to get 630.00. She pays 45 per week, so you divide 630 by 45 to get the amount of weeks she attended dance classes, or 14 weeks.

Answer:

50

Step-by-step explanation:

60% of 50 is 30

Answer:

a.  Oscar charges more to tutor for 5.5 hours than Latoya.

b. Oscar charges more by a difference of $1.00 for tutoring 5.5 hours.

Step-by-step explanation:

Charges by Oscar:

1st hour of tutoring = $25

Additional hour or fraction = $15

For tutoring for 5.5 hours, Oscar charges:

1st hour of tutoring = $25

4.5 hours of additional tutoring = $75 ($15 * 5)

Total charges = $100

Charges by Latoya:

= 30x, 0.6, where x = hours of tutoring

Total charges = 30 * 5.5 * 0.6 = $99

Therefore, Oscar charges more for tutoring 5.5 hours than Latoya by $1 ($100 - $99).

Answer:

Step-by-step explanation:

In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4

In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25

In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17

In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6

In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13

Answer:

f=2

Step-by-step explanation:

4(f+1)=12

4f+4=12

-4 -4

4f=8

f=2

Answer

F = 2

Step-by-step explanation:

Distributive property: 4f+4=12

-4 -4

Subtraction property of equality: 4f=8

/4. /4

Division property of equality: f=2

Answer:

11. Slope of the line is 7/10.

12. Slope of the line is [tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

11. Given points are:

(-6, 1) and (4, 8)

Slope of a line is given by the formula;

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

m = [tex]\frac{8-1}{4-(-6)}[/tex]

m = [tex]\frac{7}{4+6}[/tex]

m = [tex]\frac{7}{10}[/tex]

Slope of the line is 7/10.

12. Given points are:

(2, -3) and (5, -4)

Slope of the equation is;

m = [tex]\frac{-4-(-3)}{5-2}[/tex]

m = [tex]\frac{-4+3}{3}[/tex]

m = [tex]\frac{-1}{3}[/tex]

Hence,

Slope of the line is [tex]-\frac{1}{3}[/tex].