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Savatey [412]
2 years ago
5

Al drew a line that was Three-fourths of an inch long. He decided to shorten it and erased One-fourth of an inch of the line. Ho

w long was the line that remained? Express the answer in lowest terms.
Mathematics
1 answer:
ivanzaharov [21]2 years ago
6 0

Answer:

The remaining line is 1/2 of an inch

Step-by-step explanation:

3/4-1/4 will give you 2/4 which is easily simplified to 1/2

I hope this helps you :)

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⎧
MrRissso [65]

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

7 0
3 years ago
Which shows the most reasonable way to estimate 3 4/7 (-2 1/12) using compatible fractions
docker41 [41]

Answer:

B). 3 1/2(-2) = -7

Step-by-step explanation:

Let's evaluate the expression so as to be able to get the right estimate.

3 4/7 (-2 1/12)

=3 4/7 (-25/12)

= 25/7 * -25/12

= 25/7 * -25/12

= -625/84

= -7 37/84

Approximately it's equal to ,-7

4 0
3 years ago
If I invest $600 at an 11.5% interest rate, how much money will I earn over 5 years?
sdas [7]

Answer:

B. 345

Step-by-step explanation:

Hope this helps!

8 0
2 years ago
Read 2 more answers
31-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece
pychu [463]

"31-inch piece of steel is cut into three pieces"

Call the pieces a,b,c

a + b + c = 31

"second piece is twice as long as the first piece"

b = 2a

"third piece is one inch more than seven times the length of the first piece"

c = 1 + 7a

Ok, we have our equations, let's substitute the second and third into the first.

a + 2a + 1 + 7a = 31

10a + 1 = 31

10a = 30

a = 30/10 = 3

b = 2a = 6

c = 1 + 7a = 22

Check: 3 + 6 + 22 = 31, good

Answer: 3 inches, 6 inches, 22 inches


4 0
3 years ago
Complete the pattern 274÷1=
Orlov [11]
The answer 274 because anything divided by one is itself
5 0
3 years ago
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