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lisabon 2012 [21]
3 years ago
14

5. A community neighborhood wants to

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

51 trees

Step-by-step explanation:

Start at one end of the 50-foot line segment.

At position 0 ft, put one tree.

Then 1 ft from 0 ft, put tree number 2.

One more foot over, at position 2 ft from the start, put tree number 3.

Notice that each tree number is one more than the number of feet.

That means at 50 ft from the stat, you put tree number 51.

Answer: 51 trees

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A glass is
Marrrta [24]

total volume of the glass is }x =200cm^3 .

<u>Step-by-step explanation:</u>

Here we have , A glass is  1/4  full. Then 70cm3 of orange juice is poured in.

The glass is now  3/5  full. We need to find that What is the total volume of the glass . Let's find out :

Suppose that volume of glass is x ,so according to question we have the following equation

\frac{x}{4}+70 = \frac{3x}{5} , Now, solve this to find value of x

⇒ \frac{x}{4}+70 = \frac{3x}{5}

⇒ 70 = \frac{3x}{5}- \frac{x}{4}

⇒ 70 = \frac{3x((4)-x(5)}{5(4)}

⇒ 70 = \frac{12x-5x}{20}

⇒ 70(20) = 12x-5x

⇒ 7x = 1400

⇒ \frac{7}{7}x = \frac{1400}{7}

⇒ }x =200cm^3

Therefore, total volume of the glass is }x =200cm^3 .

5 0
3 years ago
#if a sum become rs 6480 in 3 years and rs 7776 in 4 years interest being compounded annually, find the sum and rate of interest
Andrei [34K]

Answer:

The rate of interest is 20% and the sum is $3,750

Step-by-step explanation:

In order to calculate the sum and rate of interest we would have to make the following calculation:

rate of interest= (sum in 4 years-sum in 3 years)*100/sum in 3 years*1

According to the given data we have the following:

sum in 4 years=$7,776

sum in 3 years=$6,480

Therefore, sum in 4 years-sum in 3 years=$7,776-$6,480=$1,296

Therefore, rate of interest=$1,296*100/$6,480*1

rate of interest=20%

To calculate the sum we would have to make the following calculation:

FV=PV(1+20%)∧3

$6,480=PV(1,20)∧3

PV=$3,750

Sum is $3,750

8 0
3 years ago
MIKE IS CHOOSING A 3 LETTER PASSWORD FROM THE LETTERS A, B, C, AND D. THE PASSWORD CANNOT HAVE THE SAME LETTER REPEATED IN IT. H
e-lub [12.9K]

There are 4 possible letters to start with.

The pass word is 3 letters long.

The first letter can be A, B, C, D = 4 different letters.

The 2nd letter can be 4 - 1 = 3 letters ( Can't have repeats)

The 3rd letter can be 3-1 = 2 letters ( no repeats)

Number of possible passwords = 4 x 3 x 2 = 24




4 0
3 years ago
Is 1709 divisible by 2,3,5,6,9
coldgirl [10]
Hey mate!
Let's figure this out!

The answer is false.

1709 / 2 = 854.5
1709 / 3 = 569.6
1709 / 5 = 341.8
1709 / 6 = 184.8
1709 / 9 = 189.8


Hope this helps! :)

6 0
3 years ago
Read 2 more answers
What is the factored form of _________?
enyata [817]

Answer:

C

Step-by-step explanation:

The expression given is a difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

8x^{24} = (2x^{8})³ ⇒ a = 2x^{8}

27y^{6} = (3y²)³ ⇒ b = 3y²

Hence 2 factors are

(2x^{8} - 3y²) and

((2x^{8})² + (2x^{8} × 3y²) + (3y²)²)

= (4x^{16} + 6x^{8}y² + 9y^{4})

Hence the factored form of the expression is C

4 0
3 years ago
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