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Oksanka [162]
3 years ago
14

Javier designs leather shoes at his workshop. He charges $45 for women's shoes and $50 for men's shoes. He needs to make $2,500

per week to meet his expenses. This situation can be given by 45x + 50y = 2,500, where x is the number of women's shoes and y is the number of men's shoes designed by Javier. If he does not have any female customers during a particular week, how many male customers does he need to meet his expenses? (x 0, y 0, x and y take only integer values)
25
35
45
50
Mathematics
2 answers:
AVprozaik [17]3 years ago
5 0
X = womens, y = mens

45x + 50y = 2500....if there is no women, then x = 0
45(0) + 50y = 2500
50y = 2500
y = 2500/50
y = 50.....there would be 50 male customers to meet his expenses
Kazeer [188]3 years ago
4 0

Answer:

50 male customers.

Step-by-step explanation:

Since the equation that represents given situation is,

45x + 50y = 2,500

Where, x represents the number of female customers of leather shoes,

And, y represents the number of male customers of leather shoes,

If there is no female customers during a particular week,

That is, x = 0,

Then by the above equation,

45(0) + 50y = 2500

50y = 2500

y = 50,

Hence, 50 male customers are needed to meet the expenses.

Last option is correct.

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Simplify the following expression and then write down the coefficient of x²: x² + x² + x² + x²
lapo4ka [179]

Answer:

The expression is 4x² and coefficient is 4.

Step-by-step explanation:

All have the same variables, x², so you add up together :

1{x}^{2}  +  1{x}^{2}  +  1{x}^{2}  +  1{x}^{2}

= 4 {x}^{2}

7 0
3 years ago
Kirsten is driving to a city that is 275 miles away. When Kirsten left home, she had 10 gallons of gas in her car. Assume that h
Snowcat [4.5K]

Answer:

(a). Assuming consumption is only dependent upon miles driven, the function is defined as :

Amount of gas left after driving x miles  :

f(x)=10-\frac{x}{25}

(b). The y-intercept is obviously 10. This represents the initial gas in the tank, 10 gallons.  

(c). The x-intercept is the solution to  

0=10-\frac{x}{25}\\\\10=\frac{x}{25}\\\\\implies x=250  

The x-intercept is 250. It represents the "distance taken by car to empty the tank".

3 0
3 years ago
A line contains the points (3, 8) and (6, 5). Write the equation of the line in slope-intercept form.
DedPeter [7]
You use the formula Y2-Y1
                                 --------
                                 X2-X1
8-5     3
----- = -- = -1                X=-1
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3 0
3 years ago
Geometry help needed :)
Blababa [14]
Vertical angles are congruent
5 0
3 years ago
The world population was 2560 million people in 1950 and 3040 million in 1960 and can be modeled by the function p(t) 2560e0.017
almond37 [142]

Answer:

Step-by-step explanation:

The average rate of change is the slope.  However, since this is not a linear function but an exponential one, we cannot determine the slope of the function, only the slope of the secant line that connects the x-values of 4 and 8.  In order to do that we need to find the corresponding y-coordinate that goes with each of those x-values and plug them into the slope function.  What we will get is a very loose interpretation of the rate of change of population, but that's all we have short of using calculus.  It would be a closer estimation if we looked at x values of 4 and 5, or eve 4 ad 4.5.  But that's not what we're being asked.  So let's get to it.

Sub first 4 in for x and then 8, to get each y value:

P(4)=2560e^{(.017185)(4)} to get that P(4) = 2742.16

P(8)=2560e^{(.017185)(8)} to get that P(8) = 2937.29

The coordinates for these are (4, 2742.16) and (8, 2937.29)

Plug into the slope formula:

m=\frac{2937.29-2742.16}{8-4} which gives you, in decimal form rounded to the nearest hundredth,

48.78 million.

The interpretation of this value in our situation is that between 1954 and 1958 the population increased 48.78 million people per year.

5 0
3 years ago
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