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Delvig [45]
3 years ago
13

The quotient of x and 7 is equal to 13. Define variable and then write an expression to model the situation

Mathematics
1 answer:
wolverine [178]3 years ago
6 0
X = the dividend

x ÷ 7 = 13
x = 13x7
x = 91
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A pote that is 3.5 m tall casts a shadow that is 1.08 m long same time, a nearby building casts a shadow that is 35.5 m long How
meriva

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I ain't never seen 2 pretty bestfriends

Step-by-step explanation:

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2 years ago
a florist makes 24 bouquets she uses 16 flowers for each bouquet altogether how many flowers does she use?
NNADVOKAT [17]

Answer:

384

Step-by-step explanation:

24 bouquets * 16 flowers = 384 flowers


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7 0
3 years ago
The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

The population on January 1, 2006 is the population at t = 0. Then:

F(0) = 3000(23 + 11· 0 - 0²)

F(0) = 3000 · 23 = 69000

This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

t² - 11t = 0

t(t - 11) = 0

t = 0

and

t - 11 = 0

t = 11

On January 1, 2017 (2006 + 11), the fish population will be the same as the initial population.

b) We have to obtain the value of t at which F(t) = 0

F(t) = 3000(23 + 11t − t²)

0 = 3000(23 + 11t − t²)

divide both sides of the equation by 3000

0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

a = -1

b = 11

c = 23

x = [-b ± √(b² - 4ac)] / 2a

x = 12.8  ( the other value of x is negative and therefore discarded).

After 12.8 years all the fish in the lake will have died.

If 1 year is 12 months, 0.8 years will be:

0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

7 0
3 years ago
The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to
kozerog [31]

Step-by-step explanation:

365.25days

1day=1440min

365.25days= 365.25×1440

=525960min.

as i guess.

8 0
2 years ago
Sovle the following equation by factorization 2x-9x=0
nikitadnepr [17]

Answer:

11x=0

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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