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Alja [10]
3 years ago
7

If (a^3+27)=(a+3)(a^2+ma+9) then m equals

Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9)

comparing a² - 3a + 9 to a² + ma + 9, then

m = - 3

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Four friends split equally a lunch bill of $36.69 plus 20% tip how much did each person pay
nikdorinn [45]
20% of 36.69 is 7.338 

36.69 + 7.338 = 44.02800 divided by 4 = $11.007 (rounded)

Each friend paid $11.01
7 0
3 years ago
Corinnes puppy eats 3 meals a day. How many meals does the puppy eat in 32 days
kvasek [131]
Corinne's puppies eat 92 meals in 32 days.
3 0
3 years ago
Curtis rides his bike 9 miles one way then turns around and rides back. On the return trip, his speed is increased 20% because t
k0ka [10]

Answer:

The expression that represents his total time is given by "t = 7.5/s" where s is his speed against the wind.

Step-by-step explanation:

In order to solve this problem we will assign a variable to Curtis speed on the first leg of the trip, this will be called "s". Since the speed on the first part is "s" and the speed on the second part is 20% higher, then the speed on the second part is "1.2s". Each leg of the course is 9 miles long, therefore the time it took to go each way is given by:

time = distance/speed

First part:

t1 = 9/s

Second part:

t2 = 9/1.2s = 7.5/s

The expression for the whole course is the sum of each, so we have:

t = t1 + t2

t = 9/s + 7.5/s

t = (9 + 7.5)/s = (16.5)/s

7 0
3 years ago
Add this is the ratio of monkey to Zeabra's is 15 to 3 if there are 45 monkeys at the zoo how many Zeabra‘s are there
skelet666 [1.2K]

Answer:

monkeys 15:3 zebras

45/15 = 3

3 X 3 = 9

there are 9 zebras

7 0
3 years ago
25 Points! Please Help Me With This. Click On The Photo And Can You Please Help Me Answer #4 I Do Not Get What It Means. If You
barxatty [35]

Answer:

So both equations are true

Step-by-step explanation:

#4 was asking you to substitute x = 4 into both equations to see if it's the solution of the equations.

Substitute x = 4

Ritz equation

y = 30x  + 20

y = 30(4) + 20

y = 120 + 20

y = 140

Smits equation:

y = 15x + 80

y = 15(4) + 80

y = 60 + 80

y = 140

Both companies charged same price  $140 for 4 days

So both equations are true

5 0
3 years ago
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