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abruzzese [7]
3 years ago
10

Find two positive numbers whose product is 36 and whose sum is a minimum.

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0
Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2

The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.

If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
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Regina bought a handmade quilt at original cost $120 to sell in her quilt store. She marked the price up 55%.
galben [10]

Answer:

Selling\ price = \$190.65

Step-by-step explanation:

Given

Price = \$123

Marked\ up = 55\%

Required

The selling price

This is calculated as:

Selling\ price = Price + Marked\ up* Price

Selling\ price = \$123 + 55\% * \$123

Selling\ price = \$123 + \$67.65

Selling\ price = \$190.65

5 0
3 years ago
Read 2 more answers
Two random samples of 25 people were asked how many 12-ounce cans of soda they consume each week. The first sample contained bot
marysya [2.9K]

Answer:

The mean of Sample #2 is 8

The mean absolute deviation for Sample #2 is 4.08

Step-by-step explanation:

To find the mean for Sample #2, you find the sum of the values in the set and divide it by the number of elements in that set.

18+14+0+7+5+7+10+7+6+9+12+3+14+4+11+6+0+10+9+5+0+16+11+2+4 = 200

200 ÷ 25 = 8

To find the mean absolute deviation for Sample #2, you calculate how far away each data point is from the mean using positive distances. These are the absolute deviations. Afterward, you add those deviations together and divide the sum by the number of data points.

10+6+8+1+3+1+2+1+2+1+4+5+6+4+3+2+8+2+1+3+8+8+3+6+4 = 102

102 ÷ 25 = 4.08

I hope this helps

8 0
3 years ago
What is 20 times 98 is it a b c d
Lyrx [107]

20 times 98 is the product of 20 and 98

Thus 20 times 98 = 20 × 98 = 1960

5 0
4 years ago
According to the synthetic division below, which of the following statements are true? Check all that apply. -5(2 6 -8) -10 20 _
Sunny_sXe [5.5K]
***(2x²+6x-8):(x+5)=2x-4
     -2x²-10x
    ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
         -4x-8
          4x+20
    ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
              12 ⇒ A. statement is true.

***When x=-5⇒2*(-5)²+6*(-5)-8=12⇒B. statement is true.

***2x²+6x-8 can also be written as (x+5)*(2x-4)+12 so (x+5) is a factor of 2x²+6x-8⇒C. statement is true.

***When x=5⇒2*5²+6*5-8=72 is not 12⇒D. statement is not true

***
(2x²+6x-8):(x+5)=2x+16
     -2x²+10x
    ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
              16x-8
             -16x+80
        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
                     72⇒F. statement is not true

**
*E. statement is not true.





8 0
4 years ago
Read 2 more answers
The sum of two numbers is 13, the difference is 4. What are the numbers?.
Rama09 [41]

Answer:

a = 8.5

b = 4.5

Step-by-step explanation:

let 2 number be a ,b

a + b = 13  (1)

a - b = 4    (2)

(1) + (2) = 2a = 13+4 = 17 -> a = 8.5

-> b = 8.5 -4 = 4.5

6 0
3 years ago
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