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SIZIF [17.4K]
3 years ago
15

A 45-foot length of wire is to be cut into 2 pieces, so that the longer piece is three feet longer than five times the shorter p

iece. find the length of each piece.
Mathematics
2 answers:
madreJ [45]3 years ago
8 0

Hey there !

Let us take the length of the shorter piece as ' x '

Then, the longer piece would be ' 3 + 5x '

Total = 45

x +  5x + 3 = 45

6x + 3 = 45

Subtracting 3 on both sides

6x = 42

dividing by 6 on both sides

x = 7

shorter wire = 7 ft

longer = 45 - 7

=  38 ft

Hope my answer helps!

wlad13 [49]3 years ago
5 0

Long piece:  5x + 3

Short piece: x

Long   + Short = Total

5x + 3 +    x     = 45

6x + 3 = 45

6x = 42

x = 7

Long piece:  5x + 3   = 5(7) + 3   = 35 + 3   = 38

Answer: short = 7 ft, long = 38 ft

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3 years ago
Find the slope (-2,-4) (2,4)
Alex

Answer:

8 over 4

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP!!<br><br> what is the explicit formula for this sequence -7, -4, -1, 2, 5
trasher [3.6K]

Answer:

The explicit formula for the given expression is a_n=-10+3n.

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

-4-(-7)=-4+7=3

The explicit formula for an AP is

a_n=a+(n-1)d

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

a_n=-7+(n-1)3

a_n=-7+3n-3

a_n=-10+3n

Therefore the explicit formula for the given expression is a_n=-10+3n.

6 0
3 years ago
How does 1/8 divided by 1/4 equal 1/2?
photoshop1234 [79]
When you divide a fraction by a fraction, you're really just multiplying by a reciprocal. A reciprocal is the fraction flipped around.
So, 1/8 <span>÷ 1/4 is the same thing as 1/8 x 4/1
Now, you just multiply. 1 times 4 is 4. 8 times 1 is 8.
1/8 x 4/1=4/8
4/8 simplified is 1/2
So that is how 1/8</span><span>÷1/4=1/2</span>
6 0
3 years ago
Add 4 kg 250 g, 2 kg 90 g and 19kg 3 g.
GarryVolchara [31]

Answer:

=25343 grams or 25 kg 343 g.

Step-by-step explanation:

1 kg = 1000 g

∴ 4 kg = 4000 grams

and the 4 kg 250 g would equal = 4250 grams.

∴ 2 kg = 1000 g

2 kg 90 g = 2000 grams + 90 g = 2090 grams

∴ 19 kg = 19000 grams

and 19 kg 3 grams = 19000 grams + 3 grams = 19003 grams

now we will add all of the values together to get the final answer.

4250 grams + 2090 grams + 19003 grams = 25343 grams or 25 kg 343 g.

Hope this helps!!

8 0
3 years ago
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