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sweet [91]
2 years ago
15

Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their

combined pay was $65. Find the hourly rate of pay for each person
Mathematics
1 answer:
pav-90 [236]2 years ago
3 0

Answer:

Judy = $5/hr

Ben = $4/hr

Step-by-step explanation:

Judy's hours at work - x

Ben's hours at work - y

8x + 10y = 80

9x + 5y = 65

Given these two equations above, we get:

10y = 80 - 8x, which means y = 8 - 0.8x.

Substitute y in the second equation with 8 - 0.8x, so we have:

9x + 5 (8 - 0.8x) = 65

9x + 40 - 4x = 65

5x = 25

x = 5

Come back to the first equation, substitute x:

8*5 + 10y = 80

10y = 80 - 40

y = 4

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Graph the system of equation below on a piece of paper what is the solution y=x-1 and y=-2x+5
ANTONII [103]

We are given

First equation:

y=x-1

we can use formula

y=mx+b

slope is m=1

y-intercept is b=-1

Second equation:

y=-2x+5

we can use formula

y=mx+b

slope is m=-2

y-intercept is b=5

Graph:

We can see that

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so, solution is x=2 and y=1.................Answer

6 0
3 years ago
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
Anarel [89]

Answer:

  (0, -3)

Step-by-step explanation:

The solution to the system of equations is the point at which they intersect. The problem statement tells you that point is (x, y) = (0, -3).

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Often, for a system defined using functional notation, we don't care about the value of the function. We only care about the value of x where the functions have the same value. That is ...

  the solution to f(x) = g(x) is x = 0.

3 0
3 years ago
grace rides her bike with a constant speed of 18 km/h how long will she take to travel a distance 72 kilometers
atroni [7]
If she rides her bike 18 km per hour
then it will take 4 hours to travel 72 km (72÷18)
the answer is 4
7 0
3 years ago
practice factoring a difference of squares. which expressions represent a perfect square monomial and its square root? check all
ohaa [14]

The perfect square monomial and its square root are shown in options 1, 2, and 5.

  • A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
  • 1) 121, 11
  • 11² = 121
  • A perfect square monomial and its square root are represented by this equation.
  • 2) 4x², 2x
  • (2x)² = 4x²
  • A perfect square monomial and its square root are represented by this equation.
  • 3) 9x²-1, 3x-1
  • (3x-1)² = 9x²- 6x +1
  • This phrase does not depict a square monomial and its square root in perfect form.
  • 4) 25x, 5x
  • (5x)² = 25x²
  • This phrase does not depict a square monomial and its square root in perfect form.
  • 5) 49(x^4), 7x²
  • (7x²)² = 49(x^4)
  • A perfect square monomial and its square root are represented by this equation.

To learn more about monomial, visit :

brainly.com/question/9183135

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8 0
1 year ago
Find the distance between the points (3, -1) and (4, 6).
andrezito [222]

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[4-3]^2+[6-(-1)]^2}\implies d=\sqrt{(4-3)^2+(6+1)^2} \\\\\\ d=\sqrt{50}\implies d\approx 7.07

6 0
3 years ago
Read 2 more answers
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