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3 years ago

If anyone can do this for me step by step i will give you 30 points please help me out

Mathematics

1 answer:

Artist 52 [7]3 years ago

5 0

Answer:

after 10 months

Step-by-step explanation:

Let x be the number of months and y be the amount they still owe.

Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.

Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in

b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.

They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:

-60x+ 1000 = -20x+ 600

1000 = 40x+ 600

400 = 40x

10=x

They will then owe the same amount after 10 months.

You might be interested in

Find the coordinates of the reflection: B (5, 4) is reflected over the line x=1

zepelin [54]

Answer:

The coordinates of point B' are (-3, 4) ⇒ C

Step-by-step explanation:

If the point (x, y) reflected across the line x = a, then a is the x-coordinate of the midpoint of the segment joining the point and its image

∵ The coordinates of point B are (5, 4)

∴ x = 5 and y = 4

∵ The point B is reflected over the line x = 1

→ From the rule above

∴ a = 1

∵ The rule of the midpoint is M = ( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )

→ The point B is (x1, y1) and the point B' is (x2, y2)

∵ a is the x-coordinate of the midpoint of segment BB'

∴ a = $\frac{x1+x2}{2}$

∵ x1 = 5 and x2 = x

→ Substitute the value of a, x1 and x2 in the rule above

∴ 1 = $\frac{5+x}{2}$

→ Multiply both sides by 2

∵ 2 = 5 + x

→ Subtract 5 from both sides

∴ 2 - 5 = 5 - 5 + x

∴ -3 = x

∴ The x-coordinate of B' = -3

→ y-coordinate of B' = y-coordinate of B because the reflection across

x = a does not change the y-coordinate

∴ y-coordinate of B' = 4

∴ The coordinates of point B' are (-3, 4)

8 0

3 years ago

How many meters tall is the statue of liberty if it is thirty times the height of a 154 centimeter person?

Reptile [31]

The question states that the Statue of Liberty is 30 times the height of a 154 centimeter person and asks how many meters tall the the Statue of Liberty is.
This is basically asking us to find 30 times 154 centimeters and convert it to meters.

30 • 154 = 4620
This tells us that the Statue of Liberty is 4,620 centimeters (cm) tall.

Now we must convert 4,620 cm to meters (m).
There are 100 cm in 1 m.
This means 100 cm = 1 m.
That means that meters are 100 times larger than centimeters.
With this in mind, we can divide the number of cm by 100 to convert it to m.

4,620 ÷ 100 = 46.2
That means that 4,620 cm is equal to 46.2 m.

The final answer:
If the Statue of Liberty is 30 times taller than 154 centimeters, then the Statue of Liberty is 46.2 meters tall.
So the answer is 46.2 meters.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Rewrite the expressions below by completing the square 2 + 4+ 1

Lady bird [3.3K]

STEP BY STEP EXPLANATION
(Mark brainliest pls)

Square root is 2 square + 4 square + 1 because 1 does not enable a square perhaps for negatives to be imputed, and we know 2 square will be 1 hence,

1 x 1 = 1 squared
2 x 2 = 4 squared
Perhaps for 1, you will have to use a formula equation and add tang maybe. Etc I don’t know if tang but u will also have to convert 1 to a decimal to find the square root of 1, 1 is an odd number so it will end up with remainder decimals or just do 1x1, etc.

Hence u

(2 square + 4 square) + 1square?

It depends on addition or order of operations subtraction addition or you will might use multiply
if the subject is about multiply or Division so try and do it because i don’t know if I’m right

..

REMEMBER

PEMDAS

Please Excuse My Dear Aunt Sally

Parentheses
Equations
Multiplication
Division
Addition
Subtraction

ORDER OF OPERATIONS.

try and solve it hope this helps!
Have a nice day

8 0

2 years ago

A triangle has an area of 54 square inches the height of the triangle is 12 inches what is the length of the base of the triangl

prohojiy [21]

Answer:

The base of the triangle = 9inches

Step-by-step explanation:

Explanation:-

The area of the triangle = $\frac{1}{2} bh$ square units

Given area of the triangle(A) = 54 square inches

Given the height of the triangle (h) = 12 inches

now equating $\frac{1}{2} b h = 54$

$\frac{1}{2} b (12) = 54$

now simplification, we get

6 b = 54

Dividing '6' on both sides, we get

b = 9

The base of the triangle = 9 inches

Conclusion:-

The base of the triangle = 9 inches

6 0

3 years ago

Write a verbal expression for 4n^3+6 Please Help!

Vlad [161]

The verbal expression is "Four enn-cubed plus six."

7 0

3 years ago