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Ostrovityanka [42]
2 years ago
8

Gina has been offered a job as a dog walker. Each week Gina works, she gets a flat amount of $10, plus an additional $5 per dog

walked. Gina's goal is to earn at least $75 each week. Which inequality can be used to find the number of dogs Gina must walk in a week in order to reach her goal?
Mathematics
1 answer:
mixer [17]2 years ago
5 0

Answer:

13

Step-by-step explanation:

Given data

flat amount =$10

let the number of dogs walked be x

and let the money earned be y

y= 10+5x

for y= 75

let us find x

75= 10+5x

75-10= 5x

65= 5x

divide both sides by 5

x= 65/5

x=13

Hence the number of dogs is 13

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if there both consecutive doesn't that mean that there both -9 so how is one bigger an one smaller.... ​
MrRissso [65]

Answer:

-14

Step-by-step explanation:

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5 0
3 years ago
Solve the system of equations <br><br> 2r - 6y= 28<br> -x-y = 14<br><br><br> PLEASE HELP
o-na [289]

Answer:

\displaystyle [-7, -7]

Step-by-step explanation:

{2x - 6y = 28

{−x - y = 14

−⅙[2x - 6y = 28]

{−⅓x + y = −4⅔

{−x - y = 14

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\displaystyle \frac{-1\frac{1}{3}x}{-1\frac{1}{3}} = \frac{9\frac{1}{3}}{-1\frac{1}{3}} \\ \\

x = -7[Plug this back into both equations above to get the y-coordinate of −7]; \displaystyle -7 = y

I am joyous to assist you anytime.

3 0
3 years ago
-8 (y - 1 )= that's all it says
USPshnik [31]
Maybe you need to distribute it. -8y + 8
3 0
3 years ago
Read 2 more answers
The pounds of produce purchased at a grocery store on Friday between 1:00 p.m. and 6:00 p.m. is
givi [52]

Answer:

The correct option is;

The first twenty-five customers

Step-by-step explanation:

For the given data, by calculation, we have;

The population average = 11.45

The average of the first five customers = 13.2

The average of the first ten customers = 11.6

The average of the first twenty customers = 12.5

The average of the first twenty-five customers = 11.72

Therefore both the first ten customers and the first twenty-five customers have good representation of the population mean with the mean of the first ten customers having a value of 11.6 is more closer to the population mean than the mean of the first twenty-five customers

However, by the central limit theorem, as the size of the sample continues to be increasingly larger, it becomes more and more representative of the population mean, this is more so because when the data is sorted, the population mean will be better represented by the mean of a large sample size

Hence the set of sample data needed to best represent the population mean is the first twenty-five customers.

7 0
3 years ago
I need help with this
N76 [4]

Answer:

The x-intercepts are x = 1 , x = 2 , x = 3

The y-intercept is -6

Step-by-step explanation:

* Lets explain how to solve the problem

- To find the x-intercept of a function substitute f(x) by 0

- To find the y-intercept of a function substitute x by 0

- To find the factors of quadratic function use the long division

* Lets solve the problem

∵ f(x) = x³ - 6x² + 11x - 6

∵ (x - 3) is one of its factors

- Use the long division to find the other factors

∵ x³ - 6x² + 11x - 6 ⇒ dividend

∵ x - 3 ⇒ divisor

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ x³ ÷ x = x²

# Multiply x² by the divisor (x - 3)

∵ x²(x - 3) = x³ - 3x²

# subtract it from the dividend

∵ (x³ - 6x² + 11x - 6) - (x³ - 3x²) = (x³ - x³) + (-6x² + 3x²) +11x - 6

∴ The dividend is -3x² + 11x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ -3x² ÷ x = -3x

# Multiply -3x by the divisor (x - 3)

∴ -3x(x - 3) = -3x² + 9x

# subtract it from the dividend

∵ (-3x² + 11x - 6) - (-3x² + 9x) = (-3x² - 3x²) + (11x - 9x) - 6

∴ The dividend is 2x - 6

# Divide the 1st term in the dividend by the 1st term of the divisor

∵ 2x ÷ x = 2

# Multiply 2 by the divisor (x - 3)

∴ 2(x - 3) = 2x - 6

# subtract it from the dividend

∴ (2x - 6) - (2x - 6) = (2x - 2x) + (-6 + 6) = 0

∴ (x³ - 6x² + 11x - 6) ÷ (x - 3) = x² - 3x + 2

∴ The factors of f(x) are (x - 3)( x² - 3x + 2)

- The factor (x² - 3x + 2) can factorize into two bracket

∵ The last term is positive and the middle term is negative than the

   two brackets have the middle sign (-)

∵ x × x = x² ⇒ 1st terms in the two brackets

∵ 2 × 1 = 2 ⇒ 2nd terms in the two brackets

∵ 2 × x = 2x

∵ 1 × x = x

∵ 2x + x = 3x

∴  (x² - 3x + 2) = (x - 2)(x - 1)

∴ f(x) = (x - 3)(x - 2)(x - 1)

- To find the x-intercept put f(x) = 0

∴ (x - 3)(x - 2)(x - 1) = 0

- That means each bracket = 0

∵ x - 3 = 0 ⇒ add 3 for both sides

∴ x = 3

∵ x - 2 = 0 ⇒ add 2 for both sides

∴ x = 2

∵ x - 1 = 0 ⇒ add 1 for both sides

∴ x = 1

∴ The x-intercepts are x = 1 , x = 2 , x = 3

- To find the y-intercept put x = 0

∵ f(x) = x³ - 6x² + 11x - 6

∵ x = 0

∴ f(0) = 0 - 0 + 0 - 6 = -6

∴ The y-intercept is -6

4 0
3 years ago
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