100 ÷ 10 • 2 • 4 ÷ 2 40 10 0.625 20

your brother 1/4 yor age.your sister is 8 years older than your brother.your sister is 12 years old.write and solve tan equation

nekit [7.7K]

Let A be your age, B be the age of your brother and S be the age of your sister.

Since your brother is 1/4 your age, then:

$B=\frac{1}{4}A$

Since your sister is 8 years older than your brother, then:

$S=B+8$

Since your sister is 12 years old, then:

$S=12$

Use the second equation to find your brother's age by plugging in S=12:

$\begin{gathered} S=B+8 \\ \Rightarrow12=B+8 \\ \Rightarrow B=12-8 \\ \therefore B=4 \end{gathered}$

Plug in B=4 in the first equation to find your age:

$\begin{gathered} \frac{1}{4}A=B \\ \Rightarrow\frac{1}{4}A=4 \\ \Rightarrow A=4\times4\rbrack \\ \therefore A=16 \end{gathered}$

Therefore, you are 16 years old.

4 0

1 year ago

What is the slope of the line? Pls help ASAP

Masteriza [31]

Answer:

-4/5

Step-by-step explanation:

Slope of line = (y2 - y1) / (x2 - x1)

Two points on the line are (2,-3) and (-3,1)

Apply the formula

Slope = (1-(-3)) / (-3-2) = -4/5

:)

4 0

3 years ago

May so someone please help from 7-10 it’s 11 points I think

Aleks04 [339]

Answer:

7 / 2, or 3.5 is between 3 and 4.

28 / 5, or 5.6 is between 5 and 6

9/4, or 2.25, is between 2 and 3.

28 / 5, or 4.6, is between 4 and 5.

Step-by-step explanation:

To multiply a whole number by a fraction, the actual way to do it is to make the non-fraction over one. So, for example, if we were to do this:

2 * (1/2)

Set 2 as 2/1 (because they are equal)

(2/1) * (1/2)

Then, multiply the numerators together and denominators together.

= 1

But, we can also save time and multiply the non-fraction with the fraction's numerator.

2 * (1/2) =

(2 * 1) / 2 =

2 / 2 =

1

Let's apply this to the problems we have.

7) 5 * (7/10)

Multiply 5 and 7.

(5 * 7) / 10 = 35 / 10 = 7 / 2

This is the answer (unless you want it even more simplified, which would either be 3 and 1/2, or 3.5). However to find what numbers it is between, simplify it further.

7/2 = 3.5

7 / 2, or 3.5 is between 3 and 4.

8) 7 * (8/10)

Multiply 7 and 8.

(7 * 8) / 10 = 56 / 10 = 28/5 = 5.6

28 / 5, or 5.6 is between 5 and 6

9) 3 * (3/4)

Multiply 3 and 3.

(3 * 3) / 4 = 9 / 4 = 2.25

9/4, or 2.25, is between 2 and 3.

10) 6 * (4/5)

Multiply 6 and 4.

(6 * 4) / 5 = 23 / 5 = 4.6

28 / 5, or 4.6, is between 4 and 5.

I hope this helps! Feel free to ask any questions!

8 0

3 years ago

1. Calculate the equation of the line through the points (1, 1), (4, 3), (10, 7) and (40, 27).

Gala2k [10]

Answer:

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

Step-by-step explanation:

Check that a single straight line will actually go through all four of these points. Going from (1, 1) to (4, 3), the 'rise' is 2 and the 'run' is 3, which would make the slope, m, equal rise/run = 2/3. Going from (4,3) to (10, 7), m = rise/run = 4/6 = 2/3 (again).

Let's find the slope-intercept form of the equation of this line: y = mx + b

Arbitrarily choose the point (1, 1). Here x = 1, y = 1 and m = 2/3. Then

we have

1 = (2/3)(1) + b, or 1 = 2/3 + b, so that b must be 1/3.

The equation in question is y = (2/3)x + 1/3

8 0

3 years ago

Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her

MariettaO [177]

Answer:

The correct option will be: b. One lap around the mall is equal to about 2,425 steps.

Step-by-step explanation:

Here, we will just find the slope of the line representing Debi’s data. For that, we will take any two data from the table in form of point like $(x,y)$