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Mathematics

2 answers:

scZoUnD [109]3 years ago

7 0

Answer:

4k−3−2k=2k+5−2k Answer

2k−3=5 Answer

2k−3+3=5+3 Answer

2k=8 Answer

2k2=82 Answer

k=4 Answer

Step-by-step explanation:

Sav [38]3 years ago

3 0

Answer:

k = 4

Step-by-step explanation:

Rearrange so that like terms are on either side of the equation

4k - 2k - 2k + 2k = 5 + 3

Simplify

2k = 8

Divide both sides by two to make k on its own

k = 4

You are correct, well done!

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For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second

wariber [46]

To answer we let x be the amount of money that Sam invested during the first year.

Below are the expressions translated from the given word forms for the amount invested.

Sam:
2nd year : amount = 5x/2 - 2000
3rd year : amount = x/5 + 1000

The sum of money invested by Sam is:
x + (5x/2 - 2000) + (x/5 + 1000)

Similarly, we derive the expressions that we use for the amount that Sally invested.
Sally
1st year : amount = 3x/2 - 1000
2nd year : amount = 2x - 1500
3rd year : amount = x/4 + 1400

The total amount that Sally invested is,
total = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)

Equating the two equations:
(x) + (5x/2 - 2000) + (x/5 + 1000) = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)

Solving for x,
x = 2000
For Sally's investment in the third year:
amount = x/4 + 1400 = (2000/4 + 1400) = 1900

ANSWERS:
Sam's first year = $2000
Sally's third year = $1900

3 0

3 years ago

a gardenner is designing a new garden in the shape of a trapezoing she wants the short base to be twice the height and loger bas

taurus [48]

Answer:

Height = 5 ft

Short base = 10 ft

Long base = 14 ft

Step-by-step explanation:

Let h = height, a = short base, b = long base.

From the question,

a = 2h