Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange​ paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.

Let the red cat be represented by x.

Let the yellow cat be represented by y.

Let the white cat be represented by z.

Which means :

[tex] \tt (1) \: \frac{4}{5} (20x - 5)[/tex]

[tex]\tt = \frac{4}{5} \times 20x - \frac {4 }{5} \times 5[/tex]

[tex] \tt= \frac{80x}{5} - \frac{20}{5} [/tex]

[tex]\tt = 16x - 14[/tex]

Thus, the first statement is correct.

[tex]\tt(2) \: \frac{3}{5} ( \frac{1}{3} z - 10)[/tex]

[tex]\tt = \frac{3}{5} \times \frac{1}{3} z - \frac{3}{5} \times 10[/tex]

[tex]\tt = \frac{3}{15} z- \frac{30}{5} [/tex]

[tex]\tt = \frac{1}{5} z - 6[/tex]

Thus, the second statement is a lie.

[tex]\tt(3) \: \frac{1}{9} ( - 9y - 27x)[/tex]

[tex] \tt= \frac{1}{9} \times - 9y - \frac{1}{9} \times 27x[/tex]

[tex]\tt = \frac{ - 9}{ \: \: 9} y - \frac{27}{9} x[/tex]

[tex]\tt = (- y) - 3x[/tex]

Thus, the third statement is correct.

Therefore, the second one is a lie.

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

Answer:

12

Step-by-step explanation:

It is the smallest number that is divisible by 2, 3, and 6

Answer: The answers are in order

6(n-9)=54

5x=35

3x-6

1/2(y+12)=7

Step-by-step explanation:

Answer:

The answer would be 8

Step-by-step explanation:

4x8=32

4 is the pieces of each pie

8 is how many pies

32 is how many pieces they need

Answer:

-3, -7

Step-by-step explanation:

either x + 3 = 0 --> x = -3

or x + 7 = 0 --> x = -7

Answer:

(-3,0) and (-7,0)

Step-by-step explanation:

its not a sin to want to win cant see meflying like a bee i see a dreamer other there by the water but i

LOL

Answer:

What you must do for this case is to extract the relationship of the grapes that were eaten yesterday among the grapes that were eaten today.

To do it, let:

x: number of grapes that Reza ate yesterday

(x / 20) = (100/400).

Clearing x we have:

x = (100/400) * (20) = 5

answer

the number of grapes Reza ate yesterday was 5

Step-by-step explanation:

Answer:

x= -5

x= 9

Step-by-step explanation:

Answer:

x = - 5, x = 9

Step-by-step explanation:

To find the zeros equate f(x) to zero, that is

(x + 5)(x - 9) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 9 = 0 ⇒ x = 9

Answer:

118°

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees.

From the question,

Angle A=(2x-10)°

Angle B=(x-2)°

Both Angles are complementary.

Therefore

Step 1

(2x - 10)° + (x - 2)° = 180°

2x + x - 10 - 2 = 180°

3x - 12 = 180°

3x = 180° + 12

3x = 192°

x = 192/3

x = 64°

Step 2

We are to solve for Angle A

(2x-10)°

Angle A = 2(64 ) - 10

Angle A = 128 - 10

Angle A = 118°

The measure of Angle A = 118°

When x = 0.8, D. is correct

2.01 > 2.5(0.8)

2.01 > 2 √

Answer:

D.

Step-by-step explanation:

D is the correct answer choice because once you substitute 0.8 with x and multiply, 2.5 and 0.8.

2.5 · 0.8=2

2.01 is greater than 2

The statement is correct.

Answer:

These ten cookie recipes that take less than 15 minutes will blow your mind

What can be better than sitting on a sofa, cuddled up in cozy blanket, sipping tea, and nibbling on a few (or more) fresh, delicious cookies after a long, cold day? You can argue that this situation is impossible; you're busy, and never have enough time or energy for baking yummy goods.

Here at Bright Side, we know how little time you have for desserts. That is why we put together a list of ten recipes for the best cookies that only take 15 minutes to make.

Coconut cookies

Answer:

divisor

Step-by-step explanation:

I just looked it up bro lol

Answer:

Divisor

Step-by-step explanation:

It's called the "divisor"

Answer: For first blank: GNS

P = N G = P S = R

Answer:

4 children per counselor

Step-by-step explanation:

Since the question is asking children per counselor, divide the children/counselor. Check all of the rows by dividing the children by counselor to make sure the constant of proportionality is correct. If you divide correctly, the constant of proportionality you get is 4.

Hope it helps!

Answer:

there is 4 students per conceler.

Step-by-step explanation:

please mark as brainllist.

Answer:

$5.70

Step-by-step explanation:

Answer:

I believe it is C, but i may be wrong.

Answer:

3 miles per hour

Step-by-step explanation:

The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem.  Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.

After understanding what the problem is asking for us to do we can attempt to solve the problem.  We can see that there are two angles on a straight line and this is known as supplementary angles.  Let us define what supplementary angles are.

In this case we don't have a missing angle but rather a variable that makes up each of the angles.  Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180.  After that we can solve for the unknown which in turn would give us x.

Create an expression

Combine like terms

Add 6 to both sides

Divide both sides by 6

Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.

[tex]\huge\text{Hey there!}[/tex]

[tex]\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

2

=3

Step-by-step explanation:

yes

Answer:

x = 4

PLS LOOK AT THE PIC I HAVE SENT YOU, HOPE THIS WILL HELP YOU!

Answer:

x = 1/4

Step-by-step explanation:

11 + 22x = 9 + 30x

subtract 22x from both sides

11 = 9 + 8x

subtract 9 from both sides

2 = 8x

divide both sides by 8

2/8 = x

simplify

1/4 = x

Answer:

Stays the same. OR Standard form: 9x^2+3x+8

Step-by-step explanation:

You can't factor it. When you add them it's the same bc, you can't combine anymore like terms. let me know if this helps at all? What is your objective? Tryna factor? Add polynomials? ???

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

40g butter

20g sugar

60g flour

Step-by-step explanation:

8 is 24/3

then divide all measured by 3

120/3 =40

60/3=20

180/3=60

Answer:

40g butter

20g sugar

60g flour

Step-by-step explanation:

8 is 24/3

then divide all measured by 3

120/3 =40

60/3=20

180/3=60

Answer:

1

Step-by-step explanation:

Question:A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is 3m, then the slant height of the cone (in m) is

Answer:

Given the radius of cylinder and cone are the same because there base areas are same.

Curved surface of cylinder = curved surface area of the cone

∴2πrh=πrl

∴l=2h

Given, height of cylinder =3 cm

Therefore, slant height of cone =6 cm

The volume of the cone is 22π.

Volume of a cylinder = πr²h

55π = πr²(5)

55π = 5πr²

r² = 55π/5π

r² = ✓11

r = 3.3

The volume of the cone will be:

= 1/3πr²h

= 1/3 × π × 3.3² × 6

= 1/3 × 11 × 6 × π

= 22π

Learn more about cone on:

brainly.com/question/1082469

#SPJ6

Answer:

[tex]\dfrac{1}{64}[/tex]

Step-by-step explanation:

[tex](-32)^{-1.2} = \dfrac{1}{(-32)^{\frac{6}{5}}} = \dfrac{1}{(\sqrt[5]{-32})^6}} = \dfrac{1}{(-2)^{6}} = \dfrac{1}{64}[/tex]

Answer:

The width is 20cm

Step-by-step explanation:

4 + 4 = 8

48 - 8 = 40

40 ÷ 2 = 20cm

Answer:

(C) 1.75 in

Step-by-step explanation:

It give you a clue in the question that the height increases by the same amount each week. This means that if you add 0.25 you will get a constant answer. What I mean by constant is this :-

0.25 + 0.25 = 0.5 in

I can also do it by multiplying it by 2.

2 × 0.25 = 0.5 in

If you add 0.25 every time or if you multiply 0.25 by the number of weeks you will get your answer same. So,

7 × 0.25 = 1.75 in

Hope this helps, thank you !!

Answer:

c

Step-by-step explanation: