Johanna is mixing red and blue paint to make purple paint for her bedroom. the amount of red paint and blue paint she needs is directly proportional to each other. if she uses three pints of blue paint and five pints of red paint, it makes the perfect shade of purple to match her bed comforter. johanna wants to make one more batch of purple paint in the exact same shade. if she only has 15 pints of red paint left, how much blue paint does she need?

Answers

Answer 1

Answer: 3blue/5red=xblue/15red
3 blue x 3=9 blue
5 red x 3= 15 red
so she will need 9 pints of blue paint.

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3/12 and 5/x are equivalent ratios. Solve for x

Answers

The required value of x is 20.

What is proportion?

A proportion is an equation in which two ratios are set equal to each other. In simple words, equivalent fraction are called as proportions.

Now the given equivalent ratios is,

3/12 = 5/x

Cross multiply the ratios we get,

3*x = 5*12

Solve them we obtain,

3x = 60

now dividing both side by 3,

3x/3 = 60/3

Solve them we obtain,

x = 20

So the value of x = 20.

Hence, for equivalent ratios 3/12 and 5/x the valueof x is 20.

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3/12=5/x
1/4=5/x
times both sides by 4x aka cross multiply
1x=20
x=20

It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool. Which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone?

Answers

i think 8 or 7 because its -3 so +3 to the 5 minutes or 2 since it is a sprinkler hope i help $\alpha \alpha \alpha \alpha \beta x_(123) \lim_(n \to \infty) a_n$

Final answer:

To find the rate at which the lawn sprinkler would fill the pool if used alone, subtract the rate of the hose from the combined rate. The equation is rs = 1/5 - 1/8.

Explanation:

To determine the rate at which the lawn sprinkler would fill the pool if used alone, we can set up an equation using the concept of rates. Let r be the rate at which the sprinkler fills the pool. If it takes 8 minutes for Byron to fill the pool with just the hose, then the rate of the hose alone is 1 pool/8 minutes, or rh = 1/8. If it takes 5 minutes to fill the pool when both the hose and sprinkler are used together, then the combined rate is 1 pool/5 minutes, or rc = 1/5.

The rate of the sprinkler alone, rs, can be determined by subtracting the rate of the hose from the combined rate. Thus, we have rs = rc - rh. Substituting the given values, we have rs = 1/5 - 1/8.

Therefore, the equation that can be used to determine the rate at which the lawn sprinkler would fill the pool if used alone is rs = 1/5 - 1/8.

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Factoring trinomials word problems.

Answers

So see if u can factor out the trinomial.
it's factorable.
(x+3)(×-2)

so divide that factors by (×-2)

(×-2)(×+3)
---------
(×-2)

the (×-2) cancel out, leaving x+3

What is the answer to this proplem in the picture.

Answers

$Answer:y\leq3x-1$

$y\leq3x-1$

The areas of two circles are 36(pi) and 64(pi). What is hte ratio of the diameters? of the circumferences?

Answers

$A_1=36\pi\ \ \ \Rightarrow\ \ \ \pi r ^2=36\pi\ \ \ \Rightarrow\ \ \ r^2=36\ \ \Rightarrow\ \ r=6\n \nA_2=64\pi\ \ \ \Rightarrow\ \ \ \pi R ^2=64\pi\ \ \Rightarrow\ \ R^2=64\ \ \ \Rightarrow\ \ R=8 \n\n\n (2r)/(2R) = (r)/(R) =(6)/(8)= (3)/(4)\ \ \ \ \ \ \ \ and\ \ \ \ \ \ \ \ (2\pi r)/(2\pi R) =(r)/(R) = (3)/(4)$

2,304 because if you multiply 36 x 64 is 2,304 if not multiply 2,304 x 36 x 64 and then divide the answer by 36 & 64 the it should be 2,304

What is the correct answer for 20 + 20 × 0 + 1 = ?

Answers

The correct answer for the expression 20 + 20 × 0 + 1 by applying the rule of PEMDAS is equal to 21.

To explain in detail, we follow the order of operations (also known as PEMDAS ) to solve this expression step by step:

Parentheses Exponents Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Let's solve the expression step by step:

20 + 20 × 0 + 1

20 + (20 × 0) + 1 [There are no parentheses or brackets]

20 + (0) + 1 [Perform the multiplication first (20 × 0 = 0)]

20 + 0 + 1 [Perform the addition (20 + 0 = 20)]

20 + 1 [Perform the addition (20 + 1 = 21)]

Therefore , the value of the given expression is equal to 21.

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The rule is when you don't have parenthesis you need to multiply and divide first from left to right, so

20+ 20x0 +1= 20 + 0 + 1=21

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