How many liters of water should a chemist mix with 10 liters of a 24% sodium solution to get an 8% sodium solution?

Answer:

x = -1

Step-by-step explanation:

1. Simplifying

6x + 4 = 4x + 2

2. Reorder the terms

4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x

3. Solving

4 + 6x = 2 + 4x

4. Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.

4 + 6x + -4x = 2 + 4x + -4x

5. Combine like terms: 6x + -4x = 2x

4 + 2x = 2 + 4x + -4x

6. Combine like terms: 4x + -4x = 0

4 + 2x = 2 + 0

4 + 2x = 2

7. Add '-4' to each side of the equation.

4 + -4 + 2x = 2 + -4

8. Combine like terms: 4 + -4 = 0

0 + 2x = 2 + -4

2x = 2 + -4

9. Combine like terms: 2 + -4 = -2

2x = -2

10. Divide each side by '2'.

x = -1

11. Simplifying

x = -1

Answer:

hey there the answer is:

Step-by-step explanation:

3x(x)+3x(8)  +  7(x)+7(8)

3x^2+24x+7x+56=

56+31x+3x²

Answer:

3x^2+31x+56

Step-by-step explanation:

First, we need to multiply using the FOIL (first, outer, inner, last) method.

Let's multiply the first terms together:

3x(x)=3x^2

Now we multiply the outer terms:

3x(8)=24x

Next we multiply the inner terms:

7(x)=7x

Finally, we need to multiply the last terms:

7(8)=56

Now we have this:

3x^2+7x+24x+56

Combine like terms:

3x^2+31x+56

HTH :)

Answer:

x = 7

Step-by-step explanation:

Given

7x + 4(- 3x + 6) = - 7x + 38 ← distribute and simplify left side

7x - 12x + 24 = - 7x + 38

- 5x + 24 = - 7x + 38 ( add 7x to both sides )

2x + 24 = 38 ( subtract 24 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step 1

7x+4(-3x+6) =-7x+38  Equation/Question

Step 2

7x+4(-3x+6) =-7x+38  Remove parenthesis

-5x+24=−7x+38

Step 3

-5x+24=−7x+38  Add 7x

2x+24=38

Step 4

2x+24=38  Subtract 24

2x=14

Step 5

2x=14  Divide by 2

answer

x=7

Hope this helps

Answer:

y = 2x + 0 or y = 2x

Step-by-step explanation:

use slope-intercept form [tex]\frac{y2 - y1}{x2 - x1}[/tex]

12 - 10 = 2

6 - 5 = 1

m value = 2/1 = 2

y=2x+b

to find b plug one of the points in for x and y

Example: 10 = 2(5) + b

solve equation

10 = 10 + b

subtract 10 from both sides

0 = b

Equation of line equals y=2x+0 or simply just y=2x

Answer:

9

-5 - 7(-2)

-5 - (-14)

+9

Answer:

The correct answer is,

[tex]r = \frac{p}{2} - x[/tex]

TABLE T

WHY?

BECAUSE THE SAME VALLUE OF X (4) HAS DIFFERENT IMAGES IN Y

Answer:

C. ASA E. AAS B. HA

Step-by-step explanation:

ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

AAS -  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.

HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.

Answer:

c.asa

Step-by-step explanation:

only C. asa tgat correct answer

Answer:

b+2=b-2

Step-by-step explanation:

The first step to solving this equation is subtract b from both sides. After you do that, you get 2=-2. 2 does not ever equal -2 and that statement is false. Therefore that equation has no solution.

Answer: A

Step-by-step explanation: store B: 32 - 10% = 28.8  and Store A 36- 25% = 27  so the least number is 27 so the answer is A, store A because store B is more expensive after discount. Hoped i help have a nice day

Answer:

-625.

Step-by-step explanation:

-5*-5*-5*-5

-25*-5*-5

125*-5

625.

I hope this helps!

Answer:

0.4913376 km

Step-by-step explanation:

To solve the given question above, we have our conversion factor

1 foot = 0.000305 kilometre

1,612 feet = x km

Cross Multiply

xkm = 1612 × 0.000305

xkm = 0.4913376 km

Therefore, the height in Kilometers is 0.4913376km

Answer:

r = - 4

Step-by-step explanation:

The common ratio r of the geometric sequence is

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{8}{-2}[/tex] = - 4

Answer:

Smallest surface area is of Cuboid B i.e 440 cm²

So, The company will choose cuboid B

Step-by-step explanation:

We need to find the surface area of all cuboids.

Surface Area of Cuboid A:

Length = 6

Breadth = 25

Height = 4

The formula used is: [tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)[/tex]

Putting values and finding surface area:

[tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((6 \times 25)+(25 \times 4)+(6 \times 4))\\Surface \ Area \ of \ Cuboid=2(150+100+24)\\Surface \ Area \ of \ Cuboid=2(274)\\Surface \ Area \ of \ Cuboid=548\: cm^2[/tex]

So, Surface Area of Cuboid A = 548 cm²

Surface Area of Cuboid B:

Length = 10

Breadth = 6

Height = 10

The formula used is: [tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)[/tex]

Putting values and finding surface area:

[tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2(10 \times 6)+(6 \times 10)+(10 \times 10))\\Surface \ Area \ of \ Cuboid=2(60+60+100)\\Surface \ Area \ of \ Cuboid=2(220)\\Surface \ Area \ of \ Cuboid=440\: cm^2[/tex]

So, Surface Area of Cuboid B = 440 cm²

Surface Area of Cuboid C:

Length = 2

Breadth = 20

Height = 15

The formula used is: [tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)[/tex]

Putting values and finding surface area:

[tex]Surface \ Area \ of \ Cuboid=2((Length\times Breadth)(Breadth \times Height)+(Length \times Height)\\Surface \ Area \ of \ Cuboid=2((2 \times 20)+(20 \times 15)+(2 \times 15))\\Surface \ Area \ of \ Cuboid=2(40+300+30)\\Surface \ Area \ of \ Cuboid=2(370)\\Surface \ Area \ of \ Cuboid=740\: cm^2[/tex]

So, Surface Area of Cuboid C = 740 cm²

So, We get:

Surface Area of Cuboid A = 548 cm²

Surface Area of Cuboid B = 440 cm²

Surface Area of Cuboid C = 740 cm²

The company wants to choose the design having smallest surface area.

So, smallest surface area is of Cuboid B i.e 440 cm²

So, The company will choose cuboid B

Answer:

3/2

Step-by-step explanation:

The ratio of males to females in a cycling club is 5:3.

1/3 of the males are under 18

2/9 of the females are under 18

The fraction of the club members that are under 18 is calculated as:

Male: Female = Male/Female

We are told in the above question:

1/3 of the males are under 18

2/9 of the females are under 18

Hence:

1/3 / 2/9

= 1/3 ÷ 2/9

= 1/3 × 9/2

= 3/2

The fraction of the club members that are under 18 is 3/2

Answer:

I was right after all. 175°

Step-by-step explanation:

Answer:

8 = 8

Step-by-step explanation:

If the numbers are the same, they are equal ( = )

Answer:

1. The ratio in the table above is a 2.5 : 1 ratio.

2. The second row represents that if you use 15 cups of flour you need 6 tablespoons of flour. (I’m not 100% sure this one is right)

3. 10 cups of flour and 4 tablespoons vanilla

Step-by-step explanation:

3. If you divide your number of flour by 2.5 you get the amount of vanilla you must use

9514 1404 393

Answer:

  y +2 = (1/4)(x +1)

Step-by-step explanation:

The given line is in slope-intercept form:

  y = mx + b

where the slope (m) is -4 and the y-intercept (b) is +13.

For the perpendicular line, we need a slope that is the opposite reciprocal, or ...

  -1/m = -1/(-4) = 1/4

A suitable form for the desired equation is the point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For m=1/4 and (h, k) = (-1, -2), the equation of the line is ...

  y +2 = (1/4)(x +1)

Answer: 6872

Step-by-step explanation:

8 x 859 = 6872

Answer:

6782

Step-by-step explanation:

Multiply 8 by 859 to get 6782

also rip the principals wallet xD

Answer:

no

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

hope this helps!

Answer:

10/15

Step-by-step explanation:

5/6*4/5

5*4/6*5

20/30

10/15

2/3

Answer:

12

Step-by-step explanation:

-2^2-(-2)^3

4-(-8)

4+8

=12

Answer:

yo

Step-by-step explanation:

i jyst want 50 pts

Answer:

bc = ef

Step-by-step explanation:

I just took the test

Similar triangles may or may not be congruent

The true statement is (b) BC  EF

From the question, we have the following highlights about the triangles

The above represents the AA theorem

For the triangles to be similar by ASA, then the side lengths between the equal angles must be similar

The side lengths are BC and EF

Hence, the true statement is (b) BC  EF

Read more about similar triangles at:

https://brainly.com/question/14285697

You will need 16 dollars

Step-by-step explanation:

Since there are 3 feet in a yard divide the 6 by three that will be 2 dollars per foot. Then 2×4 equals 8. Take the 8 and multiply it by 2 then you will get the total of 16 dollars

Answer:

6 quarters and 5 dimes

Step-by-step explanation:

6 • $0.25 = $1.50

5 • $0.10 = $0.50

$1.50 + $0.50 = $2.00

So the left bottom is 7 that's all I got rn