Hugo is mixing blue paint with red paint to create purple paint.
The ratio of blue to red is 3 to 2.

How many pints of blue paint will he use to create 40 pints of purple paint?

Answer:

x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]

Step-by-step explanation:

5x² - 3y = 4y + 8 ( add 3y to both sides )

5x² = 7y + 8 ( divide both sides by 5 )

x² = [tex]\frac{7y+8}{5}[/tex] ( take square root of both sides )

x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]

Answer:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Step-by-step explanation:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Hope this helps! :)

Answer:

yo what is your question??????

Step-by-step explanation:

Maybe c 7 to 2

Explanation:

I'm assuming the equation is [tex]y = \frac{5}{7}x[/tex] which is the same as writing y = (5/7)x.

If so, then the constant of proportionality is the fraction out front: The value 5/7 is the coefficient of the term (5/7)x.

All direct proportion equations are of the form y = kx, where k is the constant of proportionality.  Another example would be y = 12x and this time k = 12.

Answer:  A:  3x^2y^(3/2)

Step-by-step explanation:

This can be written as

(81*x^8*y^6)^(1/4)

Then multiply each exponent by (1/4):

81^(1/4)*x^(8(1/4))y^6(1/4))

81^(1/4) = 3

x^(8(1/4)) = x^2

y^6(1/4)) = y^(3/2)

The result:  3x^2y^(3/2)

Answer:

5.40 x [tex]10^{2}[/tex]

Step-by-step explanation:

hoped that helped:P

Answer:

Step-by-step explanation:

△ RST ≅ △ TXY

We are given ΔRST and ΔTXY are congruent to each other.

If two triangles are congruent to each other then their corresponding parts are equal.

Please see the attachment of two triangles.

∠R is corresponding to ∠T

∵  ∠R=∠T By CPCT

∠XYT is corresponding to ∠STR

∵  ∠XYT=∠STR By CPCT

∠XTY is corresponding to ∠SRT.

∵  ∠XTY=∠SRT By CPCT

∠TXY is corresponding to ∠RST

∵  ∠TXY=∠RST By CPCT

CPCT: Congruent part of congruence triangle.

Answer:

1. To solve a one-variable equation, it may be necessary to first multiply by using the Distributive Property

2. The next step is to combine like terms as needed.

3. Then solve for the variable by applying inverse operations.

4. If solving lead to a true equation, then the equation has infinitely many solutions.

5. if solving leads to an untrue equation, then the equation has no solution.

Answer:

x = 8

Step-by-step explanation:

1. Group all x terms on the left side of the equation

1/3· x+4=-2/3·x+12

Add  2/3x to both sides:

1/3x+4+2/3·x=-2/3x+12+2/3·x

Group like terms:

1/3·x+2/3·x+4=-2/3·x+12+2/3·x

Combine the fractions:

1+2/3·x+4=-2/3·x+12+2/3·x

Combine the numerators:

3/3·x+4=-2/3·x+12+2/3·x

Find the greatest common factor of the numerator and denominator:

1·3/1·3·x+4=-2/3·x+12+2/3·x

Factor out and cancel the greatest common factor:

1x+4=-2/3·x+12+2/3·x

Simplify the left side:

x+4=-2/3·x+12+2/3·x

Group like terms:

x+4=-2/3·x+2/3·x+12

Combine the fractions:

x+4=-2+2/3·x+12

Combine the numerators:

x+4=0/3·x+12

Reduce the zero numerator:

x+4=0x+12

Simplify the arithmetic:

x+4=12

2. Group all constants on the right side of the equation

Subtract 4 from both sides:

x+4-4=12-4

Simplify the arithmetic:

x=12-4

Simplify the arithmetic:

x=8

Answer:

x=8

Step-by-step explanation:

1/3x +4= -2/3 +12

Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4

Simplify: 1/3x = 2/3x + 8

Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x

Simplify: x=8

Answer:

what are the statements we pick from?

Step-by-step explanation:

most likely look out for angles and lengths that go against the established ratio

Answer:

∠ DAB = 48°

Step-by-step explanation:

The sum of the 3 angles in Δ ACD = 180° , then

∠ CAD + 60° + 90° = 180° , that is

∠ CAD + 150° = 180° ( subtract 150° from both sides )

∠ CAD = 30°

Then

∠ DAB + ∠ CAD = ∠ CAB

∠ DAB + 30° = 78° ( subtract 30° from both sides )

∠ DAB = 48°

So I could only figure out question 8, 9, 10, and maybe 12.

Answer:

8.) x=29

9.) <b=32

10.) <z=106

?? 12.) 128 i think

Step-by-step explanation:

8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.

2x+1+3x-15+49=180

After this you add up all of the similar terms.

5x+35=180

Now subtract 35 from both side to get

5x=145

Now divide each side by 5 and you should get 29

so x=29.

9.) First step is to add all of the angles together and equal to 180.

x+28+x-28+x=180

Next add all of the like terms together.

3x=180

Now divide each side by 3 to get x=60.

Don't stop there. Now fill in the x at <b.

(60)-28 which equals 32. so <b=32

10.) First step is to add all of the angles together and equal them to 180.

x-9+x-1+3x-20=180

Next add all of the like terms together.

5x-30=180

Now add 30 to both sides.

5x=210

now divide both sides by 5 to get x=42

Don't stop there.

Now fill in the answer for x in the <z spot.

3(42)-20

<z=106

12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.

Okay so first i did 3x-28+x=180

By using desmos, I got the answer x=52

Basically all it did was

4x-28=180

add 28 to both sides to get 4x=208

then we divide by 4 on both sides to get x=52

after that you fill in the x for the outer angle because that is what it is asking for.

you then get <QST=128

I know its not all of them but i hope this helps!!

Answer:

im just answering because im doing a challenge.

Step-by-step explanation:

Answer:

[tex]\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}[/tex]

Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.

[tex]\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}[/tex]

A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.

Answer:

K (-1,-1)

Step-by-step explanation:

Answer:

30$ is 15% of 200$

Step-by-step explanation:

To find how much percent Jennie spent let's first find how much one percent of $200 is.

∴200/100=2

so one percent of 200 is 2

now let's find how much percent 30$ is of 200$

∴30/2=15

meaning that 30$ is 15% of 200$

Answer:

150:30

150/30=5

so, every minute he burns 5 calories

Step-by-step explanation:

slope= 1/5

Answer:

Calories per minute: 5 calories

Slope: 1/5

Step-by-step explanation:

Answer:

b=22/15 or 1.46 repeating

Step-by-step explanation:

Answer:

Yes, it is.

Step-by-step explanation:

(4) = -(4)+8

4=4

True

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Side-side-angle is not a congruence rule because a side cannot be in between an angle and a side. Angle-side-side is the same thing, a side cannot be in between an angle and a side.

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

(9(4x-1))/2x = 15

simplify the 9(4x-1) = 36x-9

(36x-9)/2x = 15

multiply both sides by 2x to take out the fraction

36x-9 = 15(2x)

36x-9 = 30x

subtract by 30x on both sides, and add 9 on both sides

36x-9-30x = 0

36x-30x = 9

6x = 9

x = 9/6 = 3/2 or 1.5

Answer:

B

Step-by-step explanation: