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2 years ago

If 2/3x − 1 = 4, then x=

Mathematics

2 answers:

german2 years ago

8 0

Answer: 15/2

Step-by-step explanation:

$\frac{2}{3} x-1=4\\\\\frac{2}{3}x=5\\ \\x=5(\frac{3}{2})\\\\x=\frac{15}{2}$

Mrrafil [7]2 years ago

7 0

Answer: 15/2 or 7.5

Step-by-step explanation:

2/3x = 5

5 divided by 2/3 or 5 x 3/2

= 15/2 or 7.5

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How many numbers between 1 and 100 (inclusive) are divisible by 4 or 5

BaLLatris [955]

Answer: 40 numbers

Step-by-step explanation:

For us to do this, we will have to group the numbers in groups of 20.

You should note that from 1 to 20, there are 5 numbers that are divisible by 4 which are 4, 8, 12, 16, 20.

Also, there are 5 "20s" that are in 100, therefore 5 X 5 = 25 numbers that are divisible by 4.

Likewise, there are also 4 numbers that are divisible by 5 which are 5 , 10 , 15 , 20.

There are also 5 "20s" in 100, thos will give 5 x 4 = 20 numbers that are divsible by 5.

However, we have to subtract the numbers that are divisible by both 4 and 5 in order to prevent double counting.

These are 20, 40, 60, 80 and 100.

Thereforee, we will have:

25 + 20 - 5 = 40 numbers that are divisible by 4 or 5 from 1-100.

6 0

2 years ago

4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$

The power rule of natural logs says we can move that exponent down in front, giving us:

$ln(7.681818182)=t*ln(1.075)$

Divide both sides by ln(1.075) to get

$\frac{ln(7.61818182)}{ln(1.075)} =t$

Do this division on your calculator to get

t = 28.2 years

6 0

2 years ago

Read 2 more answers

A triangular prism on top of a rectangular prism. The rectangular prism has a length of 2, width of 2, and height of 2. The tria

Airida [17]

The total surface is 22.8 units is the answer

8 0

2 years ago

Read 2 more answers

Divide<br> (-x* + 2x’ +3x– 5x – 2)/(x² – 2x+1)

nata0808 [166]

Answer:

3/4 ÷ 1/2

Step-by-step explanation:

5 0

2 years ago

PLEASE HELP ASAP!!!!!!!

vlada-n [284]

Answer:

A.) the SSS Postulate

Step-by-step explanation:

Two sides of each triangle are marked congruent, and the third side is shared by the triangles. Hence, all three sides are congruent, and the SSS Postulate applies.

4 0

2 years ago