To mix a particular shade of purple paint, red paint and blue paint are mixed in the ratio 5:3. To make 20 gallons of this shade of purple paint, how many gallons of red and blue paint should be used?

Type the correct answers into the boxes below.

red paint:
gallons
blue paint
gallons

Answer:

Step-by-step explanation:

There's a fact hidden in the diagram that if you do not know it, the problem will be very difficult to solve. The fact is this. If a 60 degree angle is enclosed by the hypotenuse and the other  of side of the 60 degree angle. the hypotenuse is 2 times the length of the side.

In this case the hypotenuse is 12. The given side is 6. The third side of the right triangle is 12^1 - 6^2  = 144 - 36 = 108

The length of the third side is sqrt(108) = 6*sqrt(3)= 10.39

The area of one of the triangles is 1/2 * 6 * 10.39 = 31.18

The area of two of the triangles is 2 * 31.18. = 62.36

Now you you  have to do is find the area of the unshaded sector

Area = given angle / 360 * pi * r^2

Area = 120/360  *  3.14 * 6^2

Area = 37,68

The area of the shaded part = the area of the 2 triangles - the unshaded sector

The area of the shaded part = 62.36 - 37.68 = 24.68

Answer:

-1/2, +1/4, -1/8, +1/16, -1/32, +1/64

Step-by-step explanation:

multiplying a negative by a negative makes it a positive. Multiplying a positive by a negative makes it a negative. The order will be negative, positive, negative, positive, negative, positive, etc.

Hope this helps!

Answer the answer is the third one

Answer: 32

Step-by-step explanation: since Jiri is 9 years older, you set an equation where x (Pamelia age) + 9. So the equation is 55= x + (x+9). You subtract 9 from both sides, then divide 46 by 2 to find the Pamelia age. To find Jiri’s age, add 9 to 23 (Pamelia age).

Answer:

(3x2 - 4y4) • (9x4 + 12x2y4 + 16y8

Answer:

n^2+3n-18

Step-by-step explanation:

Hope this helps :)

Step-by-step explanation:

Okay so, 22:40 is 10:40pm

07:32 is am

Time goes up to 60 minutes, it would be 52 minutes at the end(20m to get to 11pm + the 32minutes)

Then there would be 8 hours alone (11 to 7 is 8 hours)

So it takes 8 hours and 52 minutes from 10:40pm to 7:32am

Answer:

−128

Step-by-step explanation:

Assuming the pattern continues...

Answer:

[tex]128[/tex]

Step-by-step explanation:

We see that this is a geometric series with common ratio [tex]-2[/tex].

So, the 6th term is the 4th term times [tex](-2)^2=2^2=4[/tex].

So, the answer is [tex]4(-32)=\boxed{128}[/tex] and we're done!

Note:

The closed form for this geometric series is [tex]4*(-2)^{n-1}[/tex], which means the nth term is always [tex]4*(-2)^{n-1}[/tex].

Answer:

7.07

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

= √(1 - 0)² + (3 - 10)²

= √1)² + (-7)²

√(1) + (49)

√50

= 7.07

Answer:

-3x + 8 ≥ 35, hopefully that answers your question since you didn't really specify what you wanted your answer to be

Answer:

217.2

Step-by-step explanation:

You divide the two numbers. The tenths place is the number after the decimal. The answer without rounding is 217.19(other numbers). 9 raises 1 up to 2 so that's why the answer is 217.2.

Answer:

Step-by-step explanation:

Both of the points have same y- coordinate of 50.

It means the slope is zero and the line is parallel to the x- axis.

The line has equation:

Correct choice is D

Slope

Points are parallel

Equation

Answer:

answer is (14x+6) hope it helps

Answer: Im gonna take you down like a sweet muffin.

The number of escapes, takedowns and nearfalls Anahi have is 6, 24 and 70 respectively.

escape is worth 1 point,

a takedown is worth 2 points, and

a nearfall is worth 3 points.

escape = x

takedown = y

nearfall = z

x + y + z = 100. (1)

x + 2y + 3z = 240. (2)

y = 4x. (3)

substitute (3) into both equation

x + 4x + z = 100

x + 8x + 3z = 240

5x + z = 100. (4)

9x + 3z = 240. (5)

Multiply (4) by 3

15x + 3z = 300 (6)

9x + 3z = 240. (5)

Subtract (5) from (6) to eliminate z

6x = 60

x = 60/6

x = 6

Substitute into (3)

y = 4x

y = 4(6)

y = 24

Therefore, from (1)

x + y + z = 100.

6 + 24 + z = 100

30 + z = 100

z = 100 - 30

z = 70

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One angle be x

ATQ

[tex]\\ \sf\longmapsto x+2x-6=90[/tex]

[tex]\\ \sf\longmapsto 3x-6=90[/tex]

[tex]\\ \sf\longmapsto 3x=96[/tex]

[tex]\\ \sf\longmapsto x=32[/tex]

[tex]\\ \sf\longmapsto 2x-6=2(32)-6=58°[/tex]

Answer:

58°

Step-by-step explanation:

The measure if one 2 complementary angle is 6 less than the measure of the other => x + 2x - 6° = 90°

x + 2x - 6° = 90°

3x = 90° + 6°

3x = 96°

x = 96° : 3

x = 32°

Substitution :

2x - 6°

= 2 × 32° - 6°

= 64° - 6°

= 58°

Answer:

4.5

Step-by-step explanation:

Use a proportion.

3 3/8 = 3.375

9 inch is to 12 hours as 3.75 inches is to x hours.

9/12 = 3.375/x

3/4 = 3.375/x

3x = 4 * 3.375

x = 4 * 1.125

x = 4.5

Answer: 4.5 hours

Using rate if a 9-inch candle burns down in 12 hours, the amount of hours  it have burned 3 ³/₈ inches is 4 ¹/₂ h

Rate is the amount per unit time of a substance

Since a 9-inch candle burns down in 12 hours. To determine after how many hours will it have burned 3 ³/₈ inches, we proceed as follows.

.

First, we calculate the rate at which it burns which is given as r = Length of candle/time

Since

Substituting the values of the variables into the equation, we have that

r = Length of candle/time

r = 9 in/12 h

r = 3/4 in/h

To determine how many hours it would have burned 3 ³/₈ in, we have that

rate, r = Length/time

time = Length/rate

Since

Substituting the values of the variables into the equation, we have that

time = Length/rate

= 27 in/8 ÷ 3/4 in/h

= 27/8 in × 4/3 h/in

= 9/2 h

= 4 ¹/₂ h

So, it will have burned for 4 ¹/₂ h

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Answer:

i bleve it is 43

Step-by-step explanation:

I COULD WRONG !!!!!! SORRRY

Answer:

Step-by-step explanation:

5¹⁶ ÷ 5² = 5⁽¹⁶ ⁻ ²⁾ = 5¹⁴  ❌

(5²)⁶ ÷ 5⁴ = 5⁽¹² ⁻⁴⁾ = 5⁸ ✅

5² × 5⁴ = 5⁽²⁺⁴⁾ = 5⁶ ❌

(5⁴)² = 5⁸ ✅

5⁻¹ × 5⁹ = 5⁻¹ ⁺ ⁹ = 5⁸ ✅

5⁻¹ × 5⁻⁸ = 5⁻¹ ⁺ ⁽⁻⁸⁾ = 5⁻⁹ ❌

Answer:

4*10^7

Step-by-step explanation:

If it is a single digit then round up the number

7 represents the number of spaces the decimal travels to make the given number a single digit.

Answer:

3/2(5/3) - 1 1/4 + 1 1/2

= 11/4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

[tex] \sqrt{(( - 10) - 9)^{2} + (12 - ( - 3)) ^{2} } [/tex]

[tex] \sqrt{( - 19)^{2} + (15)^{2} } [/tex]

[tex] \sqrt{361 + 225} [/tex]

[tex] \sqrt{586} [/tex]

[tex]24.2074[/tex]

Answer: 11.9 and 12.5

Step-by-step explanation:

|x - 12.2| = 0.3 is telling us that x must be either 12.2 + 0.3 or 12.2 - 0.3.

Longest is (12.2 + 0.3) = 12.5

Shortest is (12.2 - 0.3) =  11.9

Answer:

Damon is 18 years old and Mark is 11 years old.

Step-by-step explanation:

I did 29-7=22 Then I did 22/2=11. Then I just added 11+7=18 for Damon and the rest was Mark.

Answer:

I am pretty sur it is 3

Step-by-step explanation:

Answer:

3f

Step-by-step explanation:

The expression given is f + f + f.

f + f + f = f × 3

The correct way to write an expression that is being multiplied is to put the number before it with no symbols or spaces in between them:

f + f + f =

f × 3 =

3f

Answer:

7,600

Step-by-step explanation:

both parents invest 7,600.

7,600x2= 15,200

there are 2 girls so divide 15,200 by 2 and u get 7,600