All categories

3 years ago

Which of the following equations is equivalent to 2/3 a-7=1/3

Mathematics

2 answers:

sashaice [31]3 years ago

8 0

Answer:what ur insta?

Step-by-step explanation:

ASHA 777 [7]3 years ago

3 0

Answer:

Several equivalent equations are:

$2a-3\times 7=1\\ \\ 2a-21=1\\ \\ 2a=22\\ \\ a=11$

Explanation:

I will find several equivalent equations assuming the original equation is:

$(2/3)a-7=1/3$

1. Multiply both sides of the equation by 3:

$3\times ((2/3)a-7)=3\times (1/3)$

$2a-3\times 7=1\\ \\ 2a-21=1$

2. Add 21 to both sides:

$2a=1+21\\ \\ 2a=22$

3. Divide both sides by 2:

$a=22/2\\ \\ a=11$

You might be interested in

9. How can you identify a and b from a table?

Sholpan [36]

Answer:

A function is said to be an exponential function if equal steps in the independent variable produce equal ratios for the dependent variable.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

When Helen Mirren won the Oscar for Best Actress, she was 61 years old. The Oscar-winning Best Actresses had a mean age of 35.8

saveliy_v [14]

Answer:

a) $61-35.8=25.3$

b) $\frac{25.2}{11.3}=2.23$ deviations

c) $z = \frac{61- 35.8}{11.3}= 2.23$

d) For this case since we have that z>2 we can consider this value as unusual, since is outside of the interval considered usual.

Step-by-step explanation:

Assuming this complete question : "Helen Mirren was 61 when she earned her Oscar-winning Best Actress award. The Oscar-winning Best Actresses have a mean age of 35.8 years and a standard deviation of 11.3 years"

a) What is the difference between Helen Mirren’s age and the mean age?

For this case we can do this:

$61-35.8=25.2$

b) How many standard deviations is that?

We just need to take the difference and divide by the deviation and we got:

$\frac{25.2}{11.3}=2.23$ deviations

c) Convert Helen Mirren’s age to a z score.

The z score is defined as:

$z = \frac{x- \mu}{\sigma}$

And if we replace the values given we got:

$z = \frac{61- 35.8}{11.3}= 2.23$

d) If we consider “usual” ages to be those that convert to z scores between –2 and 2, is Helen Mirren’s age usual or unusual?

For this case since we have that z>2 we can consider this value as unusual, since is outside of the interval considered usual.

6 0

4 years ago

Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D

34kurt

Answer:

Option D. $y=\frac{1}{3}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case A) we have

$y=x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=0+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

$y=1-\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=1-\frac{1}{3}(0)=1$

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

$y=3x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=3(0)+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

$y=\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=\frac{1}{3}(0)=0$

The line passes through the origin

therefore

The equation D represent a proportional relationship

3 0

3 years ago

ANSWER THIS ASAP PLS Which of the following must be true if ABD = CDB?

Romashka [77]

Answer:

option d. Both A and B must be true.

4 0

3 years ago

I need help explaining and answering!! Anybody help.Thanks

tester [92]

The answer to this is Jon because the formula for finding the hypotenuse is a^2+b^2=c^2.

4 0

3 years ago