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cestrela7 [59]
3 years ago
12

PLEASE HELP WITH THE PROBLEM ON THE ATTACHED FILE

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Answer:

6 : 1

Step-by-step explanation:

b - 3a / 9 = a /3

Cross multiply

3(b - 3a) = 9a

Expand

3b - 9a = 9a

Add 9a to both sides

3b = 9a + 9a

3b = 18a

Divide both sides by 3

b = 6a

Ratio of a : b

6 : 1

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A 20-ounce soda bottle is supposed to contain 20 ounces of soda. The distribution of the actual amount of soda in a 20-ounce sod
Sonja [21]

Answer:

A

Step-by-step explanation:

The appropriate inference procedure in this case is a one-sample t test for a mean. The test statistic for this test is t=\frac{19.4-20}{\frac{0.25}{\sqrt{n} } }.

3 0
3 years ago
ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
aev [14]

Answer:

Sequence 1: Translate 5 units to the right, and 5 units down

Sequence 2: Reflect across the origin, translate 1 unit down, 1 unit to the right

Step-by-step explanation:

Chose 1 point to focus in, such as (-1, 1)

Move that point 5 units to the right, and 5 units down. See how it matches up with the same corner of the red square?

Now, use that same point, and change the signs of both the x and y, this is to reflect across the origin. (In reality, you are just reflecting across the x and y axis)

So you originally have: (-1,1) -> (1, -1)

Now move this point one unit to the right, and 1 unit to the left.

It may seem that you made it touch the wring corner, but do the same thing with another corner's points. They all flipped!

8 0
3 years ago
- 3m + 6 (m - 2) = 9
Andrew [12]

Answer:

m=7

Step-by-step explanation:

step 1: -3m+6m-12=9

step 2: 3m-12=9

step 3: 3m=21

step 4: m=7

3 0
3 years ago
Read 2 more answers
Write a rule in function notation for each situation:
algol [13]

Answer:

1. \bold{S=f(P) = 0.07P}

2. x = 16

3. Part 1: P is the independent variable and S is the dependent variable.

Part 2: x is the independent variable and y is the dependent variable.

Step-by-step explanation:

1. To write the function notation for:

Sales tax is 7% of the total price.

Let the total price be P.

And sales tax be S.

As per the given statement:

S = 7\% \ of\ P\\\Rightarrow S =\dfrac{7}{100}P\\\Rightarrow S=0.07P

Writing it in the function notation:

\bold{S=f(P) = 0.07P}

2. To find the value of x such that f(x) = 14 and

f(x) = \dfrac{1}4x + 10

Putting the value of f(x) = 14

14 = \dfrac{1}4x + 10\\\Rightarrow \dfrac{1}4x =14-10\\\Rightarrow \dfrac{1}4x =4\\\Rightarrow x =4\times 4\\\Rightarrow \bold{x =16}

3. To find the dependent and independent variable.

Independent variables are those whose value is not dependent on the other variable's values.

Dependent variables are dependent on the value of other variables.

In question 1:

\bold{S=f(P) = 0.07P}

P is the independent variable.

S is the dependent variable.

In question 2:

If we write it as follows:

y=f(x) = \dfrac{1}4x + 10

x is the independent variable and y is the dependent variable.

5 0
4 years ago
If f(a)=-5, what is the value of |f(a)|?
Vikki [24]

|f(a)| , the vertical lines mean absolute value. Absolute value is the positive value of the answer whether it is actually negative or positive.

F(a) is given as -5, so the absolute answer would be 5

The answer is 5

4 0
3 years ago
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