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sergejj [24]
3 years ago
15

A saleswoman is paid $80 a day plus $6 for each sale she makes. She wants to earn more than $150 today. Write an inequality that

represents the number of sales, x, the saleswoman must make today to earn more than $150. What is the least number of sales she must make to reach her sales goal
Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

12

Step-by-step explanation:

Given that:

Daily wages paid to a saleswoman = $80

Wages paid for each sale made by her = $6

Target of today's earnings = more than $150

To find:

Least number of sales to be made so that the total earnings today is more than $150.

Solution:

Number of sales for today = x

Wages for one sale = $6

Wages for x number of sales = $6x

Total earnings = Per day sales + Wages for x number of sales > $150

80 + 6x > 150

we need to solve for above inequality to find the least number of sales to be made to meet the goal.

Subtracting 80 from both sides:

\Rightarrow 6x>70\\

Dividing both sides by 6:

\Rightarrow x > 11

Therefore, <em>at least 12 sales</em> must be made.

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6x - 5y = 11<br> y = 7x + 21<br><br> What is the correct answer to this problem?
evablogger [386]

Answer:

X=-4, y=-7

Step-by-step explanation:

6x-5y=11.     1st equation

y=7x+21    2nd equation

6x-5(7x+21)=11. Sub value of y in 2nd equation (7x+22) into 1st equation

6x-35x-105=11. Solve by distributative property

-29x-105=11.   Add x values

-29x=116.         add 105 to both sides

x=-4.                Solve for x

solve for y:

y=7x+21

y=7(-4)+21

y=-28+21

y=-7

check answer by substituting x and y into either equation

6x-5y=11

6(-4)-5(-7)=11

-24+35=11

11=11

3 0
3 years ago
what is the greatest common factor of two numbers is 4. The sum of the numbers is 76. What are the two numbers?
melisa1 [442]

Answer:

4 and 72

Step-by-step explanation:

8 0
3 years ago
During a week-long dry spell, the water level in a pond decreased by 4 in. Per day, except for two days when it decreased by hal
Helga [31]

Answer:

24 inches.

Step-by-step explanation:

Given:

During a week the water level in a pond decreased by 4 in. Per day,

For two days, it decreased by half that amount = 4\times\frac{1}{2}=2\ inches\ per\ day

Question asked:

How much did the water level decrease in the pond in one week?

Solution:

As we know, there are 7 days in a week.

<u>For 5 days,</u>

Each day water level decreased by = 4 inches

In 5 days, water level decreased by = 4\times5=20\ inches

<u>For exceptional 2 days:</u>

Each day water level decreased by = 2 inches

In 2 days, water level decreased by = 2\times2=4\ inches

Water level decreased in whole week = 20 + 4 = 24 inches

Therefore, water level decreased 24 inches in the pond in one week.

7 0
3 years ago
X+x-z; use x=3 &amp; z=4​
nadezda [96]

Answer:

2

Step-by-step explanation:

Order of operations is not as applicable in this situation because we're just dealing with addition and subtraction.  This is a simple case of plugging in values for the given expression.

x = 3

z = 4

So it becomes...

3 + 3 - 4

6 - 4

2

So with the given expression of x + x - z and the given values of x = 3 and z = 4, the expression should sum to: 2

6 0
2 years ago
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. Th
Olegator [25]

Answer:

(a) 74553

(b) 172120

(c) 234802

Step-by-step explanation:

Given

y = \frac{340110}{1 + 377e^{-0.259t}}

Solving (a): 1998

Year 1998 means that:

t =1998 -  1980

t =18

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*18}}

y = \frac{340110}{1 + 377e^{-4.662}}

y = \frac{340110}{1 + 3.562}

y = \frac{340110}{4.562}

y = 74553 --- approximated

Solving (b): 2003

Year 2003 means that:

t = 2003 -  1980

t =23

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*23}}

y = \frac{340110}{1 + 377e^{-5.957}}

y = \frac{340110}{1 + 0.976}

y = \frac{340110}{1.976}

y = 172120 --- approximated

Solving (c): 2006

Year 2006 means that:

t = 2006 -  1980

t =26

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*26}}

y = \frac{340110}{1 + 377e^{-6.734}}

y = \frac{340110}{1 + 0.4485}

y = \frac{340110}{1.4485}

y = 234802 --- approximated

3 0
2 years ago
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