The ratio of red, blue, and white stars on the bedroom ceiling is 2:3:5. How many blue stars are there if there are 30 stars on the ceiling?

Answer:

3/5

Step-by-step explanation:

Let x be the numerator

Let y be the denominator

1st equation:

(x-1) / (y-1) = 1/2

By simplifying the equation, 2(x-1) = y-1

y = 2(x-1) + 1

2nd equation:

(x+1) / (y+1) = 2/3

By simplifying the equation, 3(x+1) = 2(y+1)

3x + 3 = 2y + 2

2y = 3x + 1

y = (3x + 1) / 2

Substituting the value of y from the 1st equation to the 2nd equation:

1st equation: y = 2(x-1) + 1

2nd equation: y = (3x + 1) / 2

2(x-1) + 1 = (3x+1) / 2

x = 3

After finding the value of x, let's find y using the 2nd equation:

y = (3x + 1) / 2

y = [(3)(3) + 1] / 2

y = 5

Alternatively, we may also find the value of x using the first equation, and the result is still the same:

y = 2(x-1) + 1

y = 2(3-1) + 1

y = 5

CHECKING TIME!!!

Substituting the values of x and y:

Let x be the numerator, x = 3

Let y be the denominator, y = 5

1st equation: (x-1) / (y-1) = 1/2

(3-1) / (5-1) = 1/2

2/4 = 1/2

By simplification, 1/2 = 1/2

2nd equation:

(x+1) / (y+1) = 2/3

(3+1) / (5+1) = 2/3

4/6 = 2/3

By simplification, 2/3 = 2/3

Answer:

-Verdadero

Step-by-step explanation:

in the picture

Answer:

h(-4) = -1

h(-1) = -1

h(0) = 2

Step-by-step explanation:

h(-4) = -1 because -4<-1 and from the instructions if x < -1, it is -1

h(-1) = -1 because -1 = -1

h(0) = 2 because if 1<x<2 than we have to solute this -(x-1)^2 + 3

in this we have to replace x with 0

-(0-1)^2 + 3= -(-1)^2 + 3 = -1 +3 = 2

hope it will help you ;)

Answer:

29

Step-by-step explanation:

57+x=86

x=86-57

x=29

86-57=29Answer:

Step-by-step explanation:

Answer: 27

this should help xd

Step-by-step explanation:

https://www.tiger-algebra.com/en/solution/linear-equation-one-unknown/n/3+7=16/

Answer:

verdad

Step-by-step explanation:

1^x = 1

x = todos los numeros

_________

[tex] \: [/tex]

b² = c² - a²

b² = 10² - (√19)²

b² = 100 - 19

b² = 81

b = √81

b = 9

[tex]7 ratio2 = \frac{7}{2} \div 264 \\ \\ \ \frac{2}{7} \times \frac{264}{x} \\ \\ cross \: multiply \\ 2 \times x = 264 \times 7 \\ \frac{2x}{2x } = \frac{1848}{2x} \\ x = 924[/tex]

4√36^-1 = 36^-1/4

36^3/4 • 36^-1/4

=36^2/4

or √36 = 6

[tex]\sf Formulas: \displaystyle \\\\\ 1) \ a^{n} \cdot a^{m}=a^{n+m} \\\\ 2) \sf \ \sqrt[n]{\sf a^{m}} = a^{\tfrac{m}{n} } \\\\\\ Solution : \\\\\\\sf \large \boldsymbol {} \displaystyle (36)^{\tfrac{3}{4} } \cdot \sqrt[\sf 4 ]{\sf 36^{-1}} }= 36^{\tfrac{3}{4} } \cdot 36^{\tfrac{-1}{4} } =36^{\tfrac{3}{4}+\big(-\tfrac{1}{4} \big ) }= \\\\\\\ 36^{\tfrac{3}{4} -\tfrac{1}{4} } =36^{\tfrac{2}{4} }=(6^ {\backslash \!\!\!2})^{\tfrac{1}{\backslash\!\!\!2} }= 6^1=\boxed{\sf 6}[/tex]

Answer:

4 = 60     5 =  120     6 = 120     7 = 60

Step-by-step explanation:

The cost of the Crayons will be $4 and the cost of the Pen will be $2.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Krishnan had $10. He had to purchase a box of pastels and a pen. A case of pastels costs two times as much as a pen. He got a $4 change.

Let c be the cost of crayons and p be the cost of a pen. Then the equations are given as,

c = 2p                       ...1

c + p = 10 - 4            ...2

From equations 1 and 2, then we have

2p + p = 10 - 4

3p = 6

p = 2

Then the cost of the crayons will be given as,

c = 2 x 2

c = 4

The cost of the Crayons will be $4 and the cost of the Pen will be $2.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer: [tex]7\sqrt{2[/tex]

Step-by-step explanation:

a²+b²=c²

7²+7²=c²

49+49=c²

[tex]\sqrt{98}=\sqrt{c^2}\\\sqrt {49}\sqrt{2} =c\\ 7\sqrt{2} =c[/tex]

Answer:

7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

To find the missing length of a right triangle use the Pythagorean theorem. This theorem is [tex]a^2+b^2=c^2[/tex]. The variables a and b are the legs (shorter sides) and c is the hypotenuse (longest side). In this case, the hypotenuse is the missing side. So, add and square 7. This looks like [tex]7^2+7^2=x^2[/tex]. So, [tex]98=x^2[/tex]. Finally, square root 98 to get the final answer, [tex]\sqrt{98}[/tex]. This can be simplified to [tex]7\sqrt{2}[/tex].

Additionally, this is a special right triangle because the legs are of equal length. If the legs are equal then the hypotenuse with be equal to x[tex]\sqrt{2}[/tex], where x is the length of the legs. So this problem can also be solved using this method.

(-2x^3y)^5 = (-2)^5 (x^3)^5 (y)^5

                 = -32 x^15 y^5

1. Apply the 5 to each factor.

2. Simplify each piece.  On (x^3)^5, you multiply the 3 and 5.

To make the same orange circle, you would need 2:3 drops of food coloring.

A ratio is a mathematical statement that compares and equals two variables.

Fractions, percentages, and decimals are used to represent ratios.

According to this ratio (2:3), Maia uses 60% of yellow food coloring to create an orange circle for every 40% of red food coloring.

Information and calculations: 4 red food coloring drops

Yellow food coloring drops equal six.

Food coloring ratio = 4:6 or 2:3.

The ratios are as follows in percentages:

Red food coloring drops equal 40% (2/5 x 100)

60 (3/5 x 100) drops of yellow food coloring

As a result, the food coloring is divided into 40% red and 60% yellow.

Ratios are discussed in greater detail at

https://brainly.com/question/13419413

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Answer:

Step-by-step explanation:

4.5 is equal to nine halves because if you divide 9 you get 4.5

Answer:

it's equal to nine halves

Answer:

The answer is 4/1 or simplified it would be 4.

Step-by-step explanation:

The rise is 4 and the run is 1. 4/1!

Answer:

7

Step-by-step explanation:

-x+2+5x=10(x-4)

4x+2=10x-40

2+40=10x-4x

42=6x

42/6=6x/6

7=x

Answer:

x = 7

Step-by-step explanation:

-x + 2 + 5x = 10 (x - 4)

=> 4x + 2 = 10x - 40

=> 4x - 10x = -40 - 2

=> -6x = -42

=> 6x = 42

=> x = 42/6

=> x = 7

Answer:

1/4, -1/8, 1/16

Step-by-step explanation:

Answer:

Sally has 1 muffin on the counter and she finds another muffin in the oven and she adds up how many muffins she has and she gets 2

Step-by-step explanation:

Hope this helped you if it did please mark brainliest

Answer:

1 + 1 = 2

Explanation:

Take a quick look at an addition chart, and you'll see that 1 + 1 = 2. Why is this? This is because when you add one and one you get two.

Answer:

14 hours he have to work to $168 make

Answer:

Fractions in roman numerals

Step-by-step explanation:

To work this out go to hogwards and ask Harry

Answer:

٠ You must know Arabic numerals to solve this:

• Follow this interpretation:

Arabic → English

• So, let's first interprete, solve then we reverse :

[tex]{ \rm{ - 1 \frac{13}{15} + 2 \frac{1}{17} - 3 \frac{2}{19} }} \\ \\ = { \rm{ - \frac{28}{15} + \frac{35}{17} - \frac{59}{19} }} \\ \\ \approx { \rm{ - 3}}[/tex]

Answer: -٣

Answer:

7

Step-by-step explanation:

5(5)-3x7+3 Due to parenthesis you need to multiply 5 to 13-8 (which is 5) first.

25-3x7+3 Now you need to multiply 3 and 7 before anything else

25-21+3 now since its just subtraction and addition you go from left to right

4+3

7

Answer:

7

Step-by-step explanation:

Using order of operations to solve the expression:

Step 1: any terms in parenthesis

(13-8)=5

The expression becomes 5(5)-3*7+3

Step 2: any exponents

There are no exponents so the expression doesn't change.

Step 3: multiplication or division

5(5)=25

3*7=21

The expression becomes 25-21+3

Step 4: addition or subtraction

25-21+3=7

Answer:

The answer is -2/3 < -3/5

Answer:

x=16

y=23°

z=16

Step-by-step explanation:

we assume it is a kite.

[tex]NM=\sqrt{NQ^2+MQ^2} \\z=\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10[/tex]

∠NQM=90°

4y-2=90

4y=90+2=92

y=92/4=23°·

NP=2Nq

x=2×8=16

Answer:

PEMDAS stands for the order to solve operations.

Step-by-step explanation:

Answer:

981.3

Step-by-step explanation: