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Elodia [21]
3 years ago
12

the length of a rectangle is 6 meters more than its width. if the area of the rectangle is 135 square meters, find its dimension

s, PLEASE explain and show steps
Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

length 15 width 9

Step-by-step explanation:

Then the length can be represented by the following expression: (x + 6)

Since area is equal to length times width, we can write the following equation for the area:

A = length * width

135 = (w + 6) * w

Now we can solve for w after using the distributive property and factoring:

135 = (w + 6) * w

135 = w^2 + 6w

0 = w^2 + 6w - 135

This factors to:

0 = (w + 15) (w -9)

w = -15 OR w = 9

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When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting whe
guapka [62]

The question is incomplete had the number of harvested apples isn't given.

Answer:

0.06n

Step-by-step explanation:

When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting when harvesting apples

The expected percentage of rotten apples when harvesting = 6%

The expected number of rotten apples can be obtained by taking the product of the expected percentage and the number of apples to be harvested.

Since the number of harvested apples isn't given,

Let the number of harvested apples = n

Therefore, the expected number of rotten apples will be :

6% * n

0.06n

Note : you can easily substitute the actual number of harvested apples for n in the equto get the actual answer

8 0
3 years ago
A school director must randomly select 6 teachers to part in a training session. There are 34 teachers at school. In how many di
prohojiy [21]

Answer:

Total possible ways to select 6 teachers from 34 teacher are ^{34}C_6=1344904.

Step-by-step explanation:

It is given that total number of teachers at a school is 34.

The school director must randomly select 6 teachers to part in a training session.

^nC_r=\frac{n!}{r!(n-r)!}

Where, n is total possible outcomes and r is number of selected outcomes.

Total teachers = 34

Selected teachers =6

Total number of possible ways to select 6 teachers from 34 teacher is

^{34}C_6=\frac{34!}{6!(34-6)!}

^{34}C_6=\frac{34\times 33\times 32\times 31\times 29\times 28!}{6!(28)!}

^{34}C_6=1344904

Therefore total possible ways to select 6 teachers from 34 teacher are ^{34}C_6=1344904.

7 0
3 years ago
3x +1 = 4<br> Solve the equation
zmey [24]

Answer:

1=x

Step-by-step explanation:

6 0
3 years ago
7 (1) = 7 is an example of what property?
Kitty [74]

Answer:

Identity property

Step-by-step explanation:

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

I hope it's helpful!

5 0
3 years ago
Which is the equivalent of 12.42 written in DMS form?
nika2105 [10]
12.42

12°+.42(60)

12°25.2'

12°25'+.2(60)

12°25'12"
3 0
3 years ago
Read 2 more answers
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