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ira [324]
3 years ago
10

Janine works for a company that makes lawn chairs. She knows that they can maximize profits and make $7500 if they sell the chai

rs for $112 each. She also knows that they will lose $7312 if they sell the chairs for $89 each.
a) Write a quadratic relation to model the company’s profits P, in dollars, if the chairs sell for x dollars each.

b) What selling price will ensure a profit of $5000?
Mathematics
1 answer:
8090 [49]3 years ago
4 0

Answer:

87

55

Step-by-step explanation:

if you take 8+7 it equals 87 and i+f eqauls 55.

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if the eggs in a basket are removed 2 at a time, 1 egg will remain. if the eggs are removed 3 at a time, 2 eggs will remain. if
Yanka [14]

The least number of eggs that could be in the basket is 119.

Multiple of the number:

The multiple is the numbers you get when you multiply a certain number by an integer.

Given,

If the eggs in a basket are removed 2 at a time, 1 egg will remain.

If the eggs are removed 3 at a time, 2 eggs will remain.

If the eggs are removed 4, 5, or 6 at a time, then 3, 4, and 5 eggs will remain, respectfully.

But if they are taken out 7 at a time, no eggs will be left over.

Here we need to find the least number of eggs in the basket.

Let the number of eggs in the basket be N.

We know that,

if the eggs in a basket are removed 2 at a time, one eggs will remain.

So N is 1 less than a multiple of 2, so

=> N=2A-1

If they are removed 3 at a time, 2 eggs remain.

So N is 2 more, and therefore 1 less than, a multiple of 3, so

=> N=3B-1

If the eggs are removed 4...at a time, then 3...eggs remain,

So N is 3 more, and therefore 1 less than, a multiple of 4, so

=> N=4C-1

Similarly,

For 5,

=> N = 5D - 1

For 6,

=> N = 6E - 1

So,  if they are taken out 7 at a time, no eggs will be left over.

So,

N => 7F

Where A,B,C,D,E, and F are any positive integer.

Therefore,

N = 2A-1 = 3B-1 = 4C-1 = 5D-1 = 6E-1 = 7F

Add 1 to all those:

N+1 = 2A = 3B = 4C = 5D = 6E = 7F+1

Through this,

N + 1 = 7F + 1

has to be a common multiple of 2,3,4,5,6.

So, the LCM of 2,3,4,5,6 is 60.

So N+1 is a multiple of 60 which means N is 1 less than a multiple of 60.

So we find the least multiple of 60 that is 1 more than a multiple

of 60.

The multiples are, 60, 59, ....but 59 is not a multiple of 7.

The next multiple of 60 is 120.  

1 less than 120 is 119, and sure enough, 119 is a multiple of 7.

So,

=> 119 = 17*7.

Therefore, the least number of eggs that could be in the basket is 119.

To know more about Multiple here

brainly.com/question/5992872

#SPJ4

4 0
1 year ago
Jaya is the middle of three siblings whose ages are consecutive even integers. If the sum of their ages is 84,find Jaya’s age
Svetach [21]

12345612345612317890

7 0
1 year ago
Can somebody solve this math answer please!
mixas84 [53]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Which equations transform the parent secant graph to the parent cosecant graph?
jenyasd209 [6]

Answer:

B

Step-by-step explanation:

y=sec(x+pi/2)

Took the test on e2020

7 0
3 years ago
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How do you write y=-4x^2-16x-14 in vertex form??
GREYUIT [131]

y= -4x² - 16x - 14


Take the coefficient of x² as the common factor

y = - 4(x² + 4x + 7/2)


Add (b/2)² to complete the square

y = - 4( x² + 4x + 2² - 2² + 7/2)


Complete the square

y = -4( (x + 2)² - 1/2)


Remove the bracket

y = -4(x + 2)² + 2


Answer: y = -4(x + 2)² + 2

8 0
3 years ago
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