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lukranit [14]
3 years ago
11

A person is working at a constant rate. If he produces 15 details in 8 hours, how long does he need to work to produce 18 detail

s? Please write an equation!
Mathematics
1 answer:
torisob [31]3 years ago
3 0

Write and solve an equation of ratios:

15 details      8 hr

--------------- = -------

18 details        x

Cross multiplying, 15x = 144.  Therefore, x = 144/15 = 9.6 hours

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Calculate a5 for the geometric sequence in which a1=1600 and the common ratio is 3/4.
Cloud [144]

Answer:

<em>a₅ = 506.25                   option a</em>

Step-by-step explanation:

Given that,

first term a₁ = 1600

common ratio (r) = \frac{3}{4}

We need to find the fifth term of the geometric progression

We know that the nth term formula

aₙ = a₁rⁿ-¹

where a₁ is first term and r is the common ratio

n is the number of terms

So, n = 5

a₅ = 1600 (\frac{3}{4})^{5-1}

a₅ = 1600*(\frac{3}{4}) ^{4}

a₅ = 1600*81/256

a₅ = \frac{2025}{4}

<em>a₅ = 506.25                   option a</em>

<em>That's the final answer</em>

8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
just olya [345]

Answer:

-3(1.5n - 1)

your welcome

3 0
3 years ago
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A school has a parking lot that is 150.23 feet by 135.12 feet. What is the perimeter of the parking lot?
elena-14-01-66 [18.8K]

Answer: 570.70 ft

Step-by-step explanation:

The perimeter is the distance around the entire parking lot.

The measurement of 150.23 ft by 135.12 ft is half of the distance of the lot because it represents just two sides yet there are 4 sides.

The other two sides have the same measurement as this is a rectangle.

The perimeter of the parking lot is:

= (150.23 * 2) + (135.12 * 2)

= 570.70 ft

4 0
3 years ago
Is -4x - 5=6-11x one solution, no solution or infinitely Many<br> Solutions?
Viefleur [7K]

Answer:

one solution x = 11/7 hope this can help you!

7 0
3 years ago
How many tens are in 54
mestny [16]
Five tens are in 54, with 4 ones left over. hope this helped!!
8 0
3 years ago
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