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3 years ago

12

juan worked 2.5 hours each day from monday through friday plus 7.5 hours on saturday. his total pay was 128 dollars. how much di

d he earn per hour?

1 answer:

Lyrx [107]3 years ago

4 0

Juan earned $6.40 per hour. Because he worked 12.5 hours monday through friday plus the extra 7.5 hours on saturday which equals 20. And 128 divided by 20 is 6.40

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I really need help, can someone please help me on both questions

cupoosta [38]

Answer:

See attached

Step-by-step explanation:

In the questions, find the equation of the dash line then apply the appropriate inequality sign.

In the first one, take points (-3,2) and (0,1) find the gradient and slope of the line.

slope of line, m=Δy/Δx

Δy=1-2=-1

Δx= 0--3=3

m= -1/3

Finding the equation of the line;

y-1/x-0 = -1/3

3y-3 =-x

3y=-x+3

y=-1/3 x+1

The inequality can be ;

y> -1/3 x +1 or y<-1/3 x +1 depending on the shaded region as attached

In 2.

You have two graphs that provide the solution of the inequality.

In the graph represented by line 1, where you have points (-3,-4) and (-5,-5)

The slope will be,

m=-5--4/-5--3

m=-5+4/-5+3

m=-1/-2 = 1/2

The equation will be;

y--4/x--3= 1/2

y+4/x+3= 1/2

2y+8=x+3

2y=x+3-8

2y=x-5

y=1/2x -2.5

In the line with points (-3,-4) and (1,-6)

m=-6--4/1--3

m=-6+4/1+3

m=-2/4 = -1/2

Finding the equation of the line

y--4/x--3 = -1/2

2(y+4) = -1 (x+3)

2y+8 =-x-3

2y=-x-3-8

2y=-x-11

y= -1/2x-5.5

The inequality can be ;

y>1/2x + 2.5

y> -1/2x -5.5

or

y< 1/2 x +2.5

y< -1/2x-5.5

Depending on the area shaded as show in the attached graphs

Learn more

Solve inequality using graphs https://brainly.in/question/5768234
Solution of inequality using graphs brainly.com/question/11234618

Keywords : Inequalities, graph solutions

#LearnwithBrainly

3 0

4 years ago

Prove the polynomial identity.

Kaylis [27]

Answer:

Proven

Step-by-step explanation:

We prove the polynomial with factorization. We must first simplify the expression before we can factorize:

$(4\cdot{x^2}-2)\cdot{(4\cdot{x^2}-2)}-16\cdot{x^4}$

$16\cdot{x^4}-8\cdot{x^2}-8\cdot{x^2}+4-16\cdot{x^4}$

$4-16\cdot{x^2}$

4 is the common number and we can take it out of the expression:

$4\cdot{(1-4\cdot{x^2})}$

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

$4\cdot{(1-2\cdot{x})}\cdot{(1+2\cdot{x})}$

5 0

3 years ago

Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

<em>Verify if the polygon is a square</em>

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

so

The triangle BDA is a right triangle

therefore

The polygon is a square

<em>Find the Area of the polygon</em>

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

<em>Find the perimeter of the polygon</em>

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

3 years ago

Find the sum. (–7b + 8c) – (12a + 14) + (5a + 5b)

Semmy [17]

Combine like terms
Then you’ll get -7a-2b+8c-14 which is the answer.

3 0

3 years ago

Read 2 more answers

The expression 2x + 50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing. What

vova2212 [387]

We let y equal to the elevation above sea level so that the elevation of the rock climber after x minutes of climbing would be:

y = 2x + 50

His initial height can be calculated when x is equal to zero it is when the climber is not yet climbing. Therefore, the rock climber'sinitial height above sea level would be 50 meters.

7 0

3 years ago