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swat32
3 years ago
10

Herbert has sold 90, 45, 103 and 68 appliances in the last four months, respectively. How many appliances will he need to sell t

his month to maintain an average of at least 77 sales per month
Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0

Answer:

The sale this month = 79

Step-by-step explanation:

Let the amount he needs to sell this month = x

Average = \frac{sum\ of\ individual\ data\ }{number\ of\ entries}

Average= \frac{90\ +\ 45\ +\ 103\ +\ 68\ +\ x}{5}

Note that number of entries = number of months = 5

To maintain an average sales of 77, the amount of sale in month 5 is determined as follows:

77 = \frac{306\ +\ x}{5} \\cross-multiplying\\77\ \times\ 5\ = 306\ +\ x\\385 = 306\ +\ x\\x =385\ -\ 306\\x = 79

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The bases on a softball field are square. What is the area of each base if one side is 15 inches? Do not write units.
iogann1982 [59]

Area of a square is side length^2

Area = 15^ 2 = 15 x 15 = 225 square inches.

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3 years ago
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Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below.
defon
The answer is step 3. Step 2 is suppose to be 3 x 7 and the answer is 21 but he writes 7 in step 4
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4 years ago
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Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
3 years ago
Solve for y:<br> y+5x=6;x= -1,0,1
AlekseyPX
When x = -1

y + 5x = 6

y = 6 - 5x

y = 6 - (5)(-1)

y = 6 - (-5)

y = 11

when x = 0

y = 6 - 5x

y = 6 - (5)(0)

y = 6 - 0

y = 6

when x = 1

y = 6 - 5x

y = 6 - (5)(1)

y = 6 - 5

y = 1
7 0
3 years ago
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The population of deer forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 pe
jonny [76]

Answer:

<em>C. 3.8 years</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P(t)=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).

We have enough information to write the exponential model:

P(t)=800(1+0.2)^t

P(t)=800(1.2)^t

It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

800(1.2)^t=1600

Dividing by 800:

(1.2)^t=1600/800=2

Taking logarithms:

t\log 1.2=\log 2

Dividing by log 1.2:

t=\frac{\log 2}{ \log 1.2}

Calculating:

t = 3.8 years

Answer: C. 3.8 years

6 0
3 years ago
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