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iren [92.7K]
3 years ago
6

Simplify 0.5(1.1-2x) +2.4x-2.10

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

Answer:

1.4x - 1.55

Step-by-step explanation:

We have to simplify the expression as 0.5(1.1 - 2x) + 2.4x - 2.1

Now, 0.5(1.1 - 2x) + 2.4x - 2.1

= 0.5 × 1.1 - 0.5 × 2x + 2.4x - 2.1 {Using the distributive property of multiplication}

= 0.55 - x + 2.4x - 2.1

= 1.4x - (2.1 - 0.55)

= 1.4x - 1.55 ( Answer )

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Write a formula for the general term or nth term for the sequence. Then find the indicated term. five halves comma five fourths
nadya68 [22]
Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

a1=5/2
a2=5/4
a3=5/8
a4=5/16

a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
6 0
3 years ago
If a kid was playing for 4 hours and he did 9 activitys how much time did each activity take
nadezda [96]

Answer:

26.6667 minutes or 0.444 hours per activity.

Step-by-step explanation:

If he spent an equal amount of time on each activity, then it would have to be divided equally: 4hours/9

In minutes:

4 x 60 = 240 minutes

240/9

26.6667 minutes per activity.

In Hours:

4/9

0.444 hours per activity.

3 0
2 years ago
Read 2 more answers
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Answer:

n>-13

Step-by-step explanation:

so you subtract 4 from -9 then since your not multiplying or divinding by a negative you don't flip the sign

3 0
2 years ago
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The lines below are perpendicular. If
RSB [31]

Answer:

Correct answer: s₁ = - 2

Step-by-step explanation:

The relationship between the slope of two lines that are perpendicular is:

s₁ = - 1/s = - 1/(1/2) = - 2

God is with you!!!

5 0
3 years ago
Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $237.36. Water World is offering an
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Answer:

Divide the price by the number of months to find the monthly rate.

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$184.50 ÷ 18 = $10.25 per month

<u>The two year club, Aqua Plus is cheaper</u>

Step-by-step explanation:

6 0
2 years ago
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