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ozzi
3 years ago
14

13.5 + 0.5n = 19.5 , solve for n

Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

12

Step-by-step explanation:

13.5 + 0.5n =19.5

0.5n=19.5 - 13.5

0.5n=6

n=6/0.5

n=12

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If an 8 hour work day includes a total break time of 22 1/4%, how many hours are used for breaks?
torisob [31]

Answer:

1 39/50 hours. This is equivalent to 1.78 hours.

Step-by-step explanation:

The sum of the hours of work and the hours for break gives the work day hour which has been given as 8 hours.

Furthermore, given that the break time is 22 1/4%, the number of hours for break

= 22 1/4% × 8 hours

= 89/400 × 8

= 1 39/50 hours

4 0
3 years ago
pencils are sold in packages of 10 and erasers are sold in packages of 6 what is the least number of pencils and erasers you can
dusya [7]
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you only can only buy six pencils and six erasers

4 0
4 years ago
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Find an equation of the line having slope -2 that passes through the point (1, 5)
Alenkasestr [34]
Slope of -2, (1,5)

y = mx + b
slope(m) = -2
(1,5)...x = 1 and y = 5
now we sub and find b, the y int
5 = -2(1) + b
5 = -2 + b
5 + 2 = b
7 = b
so ur equation is : y = -2x + 7

The approximation method used to estimate a point between 2 given points is called linear interpolation. The approximation method used to estimate a point that does not lie between 2 given points is called linear extrapolation.A linear function has the form f(x) = mx + b. Its graph is a line that has slope m and y intercept at (0,b).

8 0
3 years ago
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A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16
bixtya [17]

Answer:

6,430\ bacteria

Step-by-step explanation:

we have a exponential function of the form

y=a(1+r)^{x}

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

y=3,000(1+r)^{x}

For x=2, y=3,300

substitute

3,300=3,000(1+r)^{2}

(3,300/3,000)=(1+r)^{2}

Apply square root both sides

1+r=\sqrt{3.3/3}

r=\sqrt{3.3/3}-1

r=0.0488

r=4.88\%

substitute in the equation

y=3,000(1+0.0488)^{x}

y=3,000(1.0488)^{x}

<u><em>Predict how many bacteria will be present after 16 hours</em></u>

For x=16 hours

substitute

y=3,000(1.0488)^{16}

y=6,430\ bacteria

6 0
3 years ago
A farmer has 120 feet of
Arturiano [62]

Answer:

you could fence each side with 40 feet if fence if the side with the barn does not need fencing

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