Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution. The equation 0.10x + 0.15(50 -x) = 0.12(50) can be used to find the amount of 10% alcohol
solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
40
mL
How much of the 15% alcohol solution should Bruce use?
mL aASAP

Answer:

a) 21/50   -> 42%

b) 7/10  ->70%

c) 3/5 -> 60%

d) 59/100 -> 59%

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Given that :

Length of rope = 16 m

Length per Piece of rope to cut = 0.2 m

The number of pieces of rope that can be cut :

Length of rope / length per piece of rope

16 / 0.2

= 80

Hence, 80 pieces of 0.2 m rope will be cut

Answer:

x = 83 degree

Step-by-step explanation:

x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)

x = 126 - 43

x = 83 degree

Answer:

83 degrees

Step-by-step explanation:

To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.

This equals 54 degrees.

Now, 54 + 43 equals 97.

Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.

Answer:

3,750

Step-by-step explanation:

2500+1250+625+625=5000

2500/5000=.50 or 50%

7500X.50=3750

Answer: 8

Step-by-step explanation:

16/5 x 10/4 = 8

Answer:

Area = 8 inches

Step-by-step explanation:

[tex]\frac{16}{5} *\frac{10}{4} = \frac{160}{20} (Reduce) =8[/tex]

Answer:

Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.

so 96/120

48/60

24/30

12/15

so the answer is 12/15

Answer:

60

Step-by-step explanation:

Given: 1/2a + 2/3b =50

(Since b is equal to 30 we will automatically replace b with 30)

Step 1: Simplify both sides of the equation.

1/2a+20=50

Step 2: Subtract 20 from both sides.

1/2a=50-20

1/2a=30

Step 3: Multiply both sides by 2.

2(1/2a) 2(30)

a=60

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

a = 15

Step-by-step explanation:

1/2(a) + (2/3 x 30) = 50

2/3 x 30 = 20

1/2(a) + 20 = 50

Rearrange > 20 to -20

-20 + 50 = 30

1/2(a) = 30

Rearrange 1/2 to 2

2 > 30/2

30/2 = 15

a = 15

Hope this helps, and please let me know if it is correct or isn't.

Have a nice day

Answer:

Odd:: 8+7+9=24

Even:: 2+8=10

So difference of odd and even is 24-10=14

Reducing 3 from this will make the difference (14–3) divisible by 11.

So the number to be subtracted is 3

And the number is 82786.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.

Answer:

answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1

= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms

= x² + 2x + 1 → A

Answer:

188cm^2

Step-by-step explanation:

A regular decagon has ten sides. Therefore, a decagon with radius of 8 cm has an approximate area of 188 cm²

A decagon is a polygon with 10 sides.

Therefore, the approximate area of a decagon can be found as follows:

area of decagon =  r²sin(360/n) / 2 × 10

where

r = radius

n = number of sides

Therefore,

r = 8 cm

area of decagon = 8² sin (360/ 10) / 2 (10)

area of decagon = 64 sin 36 / 2 × 10

area of decagon = 64 × 0.58778525229 / 2 × 10

area of decagon = 37.6182561467 / 2 × 10

area of decagon = 18.8091280734 × 10

area of decagon = 188 cm²

learn more on decagon here: https://brainly.com/question/27314677

Answer:

This is an arithmetic sequence because there is a common difference of 4 between each term.

Add 4 to the last term to extend this arithmetic sequence

Step-by-step explanation:

Answer:

she needs 200 more$

Step-by-step explanation:

Answer:

a=3/2   b=-1 1/2

Step-by-step explanation:

Answer:

-6 < x <9

Step-by-step explanation:

-7 < X -1 <8

Add 1 to all sides

-7+1 < X -1+1 <8+1

-6 < x <9

Answer:

D

Step-by-step explanation:

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

Answer:

I'm not really sure what you're asking because there's no image.

Step-by-step explanation:

please try to reword it and maybe show a picture .

Answer:

I dont know

Step-by-step explanation:

I have no clue I know nothing about math

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]

Answer:

13th square number+4th cube number=233

Step-by-step explanation:

[tex]13^{2} +4^{3}[/tex]=233

The value of the sum of the 13th square number and the 4th cube number will be 223.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,

⇒ (13)² + (4)²

Simplify the numerical expression, then we have

⇒ (13)² + (4)³

⇒ 169 + 64

⇒ 223

The value of the sum of the 13th square number and the 4th cube number will be 223.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ2

Answer:

The length is 17 cm.

17+17+9+9 adds up to 52.

Answer:

y=4

Step-by-step explanation:

it's a straight line on y=4

Answer:

$47.60

Step-by-step explanation:

[tex]18+\frac{148}{5} =47.60[/tex] ($)

Answer:

The amount of wood left is 36 9/16 in

Step-by-step explanation:

Here, we want to get the amount of wood left

To calculate this, we have to subtract what is cut and what is wasted from the original total length

So we have what is left as follows;

45 1/2 - 8 7/8 - 1/16

45 1/2 = 91/2

8 7/8 = 71/8

91/2 - 71/8 - 1/16

(728 - 142 - 1)/16

585/16 = 36 9/16 in

Answer:

6.25

Step-by-step explanation:

3x+25=7x

3x-7x=-25

-4x=-25

x=6.25

Answer:

Im pretty sure the answer is b using the formula

Answer:

x = 7

Step-by-step explanation:

5x - 10 = 25

shift -10 to the other side then -10 become plus 10

5x = 25 + 10

now do addition in right hand side

5x = 35

shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)

x = 35/5

x = 7

The solution to the equation 5x - 10 = 25 is x = 7.

To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.

First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:

5x - 10 + 10 = 25 + 10

This simplifies to:

5x = 35

Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:

5x/5 = 35/5

This yields:

x = 7

Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:

5(7) - 10 = 25

35 - 10 = 25

25 = 25

Since the equation holds true, we can conclude that x = 7 is the solution.

To learn more about the linear equation;

https://brainly.com/question/29739212

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Answer:

15

Step-by-step explanation:

525/4 ÷ 35/4

=525/4 x 4/35

=525/35

=105/7

=15/1

=15

Answer:

O 3x+12

Step-by-step explanation:

3(x + 4) = (3 · x) + (3 · 4)

= 3x + 12

Answer:

D hope this kinda helped:)

Step-by-step explanation: