I get 5.75 vacation hours for every 75 hours worked, how much time do I earn per hour?

Step-by-step explanation:

first we need to identify the lines themselves.

the line from bottom left to top right is simply

y = x

the line is solid, so the points on the line are included.

the dotted line (the points on the line itself are not included) goes through

(0, 2) and (3, 0)

the y-intercept is therefore 2 (the y value when x = 0).

and for the slope

x changes by +3 (from 0 to 3).

y changes by -2 (from 2 to 0).

the slope is -2/+3 = -2/3

and the line is

y = (-2/3)x + 2

we see that the desired gray area is above both lines (">"), and we need to consider, whether the points in the lines are included or not.

so, the system of inequalities is

y >= x

y > (-2/3)x + 2

Answer:

Step-by-step explanation:

Marina,  everyone has a tough time with this type of math problem,   just send me a note if you get stuck on these.   :P

You're given two points,  

P1 = (-4,8)  in the form (x1,y1)

P2 = (1,3)   in the form (x2,y2)   ( I made the forms, so can you )

slope = m

m = (y2-y1) / (x2-x1)

m = (3-8) / ( 1 - (-4))

m = -5 / (1 + 4)

m = -5 / 5

m = -1

now use the point-slope formula

y-y1=m(x-x1)

y-(8) = -1(x-(-4))

y-8 = -1(x+4)

y-8 = -x -4

y = -x-4+8

y = -x +4

That's the equation  :P

Answer:

hypotenuse

Step-by-step explanation:

Answer:

I believe it is D hypotenuse

Step-by-step explanation:

In geometry, a hypotenuse is the longest side of a right-angled triangle.

Answer: 5:2:10

Income from fete = £250

13 x 5 + 35 = 100

25 x 20 = 500

250:100:500

Then simplify ratio -

25:10:50

5:2:10

Answer:

a=L² is is the formula for the area of square. where L represent the length.

a=(12cm)²

a=144cm²

p=4(L) is the formula for the perimeter of a square. where L represent the length

p=4(12cm)

p=48cm

Answer:

r=3

Step-by-step explanation:

use slope formula : y2-y1 / x2-x1

-5-3 / r-5

the numerator is -8 which means the denominator has to be -2 in order to have the slope be 4

so r-5 = -2

3-5 = -2

Answer:

  See attached

Step-by-step explanation:

You want the solution to the inequality -12x < -48 shown on a number line.

The solution to the inequality is found by dividing by the x-coefficient

  -12x < -48

  x > 4 . . . . . . . divide by -12

When working with inequalities, you need to know that multiplying or dividing by a negative number reverses the inequality symbol.

The value x=4 is not included in the solution set, so an open circle is plotted at that point. All values of x greater than x=4 are included in the solution set, so the number line is shaded to the right of the open circle.

The graph of the solution is shown in the attachment.

__

Additional comment

Often, you can avoid multiplying or dividing an inequality by a negative number by rearranging it. Here, adding 12x+48 to both sides makes it be ...

  48 < 12x

Now, you can divide by 12 without worrying about the inequality symbol:

  4 < x . . . . . same as above

Answer:

a,b,c are divisible by 2

Answer:

Step-by-step explanation:

0.124

so 15 miles is the answer❤

Step-by-step explanation:

4²+5²=x²

16+25= 41

x²=41

x= 6.4

5+4+6= 15

The equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost.

Let s represent the cost of the shoes.

Now, equation is

8% of s=10

8/100 ×s=10

0.08s=10

s=10/0.08

s=$125

Therefore, the equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

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Answer: B  y = -4/7x + 7

Step-by-step explanation:

The equation in the form y = mx + b

m = -4/7 and b = 7

Equation: y = -4/7x + 7

Answer:

the answer is A

Step-by-step explanation:

Choices that is equivalent to the expression √5. √20 is 5.2

In mathematics, the word "equivalent" designates two quantities, numbers, or meanings that are the same. A bar across an equivalent sign or Equivalent Sign shall be used to indicate the equivalence of two such quantities. Additionally, it denotes the logical equivalent of two values or a group of quantities.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

x= (5)^1/2*(20)^1/2

x= (5)^1/2*(2.2.5)^1/2

x=5.2

So B is the correct option.

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Answer:

Direct variation

Step-by-step explanation:

Given

[tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex]

Required

The type of variation

The given equation represents a direct variation.

A direct variation is:

[tex]a = kb[/tex]

Where

[tex]k\to[/tex] constant of variation

Make k the subject

[tex]k = \frac{a}{b}[/tex]

For corresponding values of and b, we have:

[tex]k = \frac{a_1}{b_1} = \frac{a_2}{b_2} = \frac{a_3}{b_3} = ............. =\frac{a_n}{b_n}[/tex]

Hence, [tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex] is a direct variation

Answer:3,9

Step-by-step explanation:

Answer:

F = ( 9/5) X c + 32

Step-by-step explanation:

Answer:

uyt6?

Step-by-step explanation:

Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Percent Error Formula

The formula for percent error is:

PE = (|Estimated value-Actual value|/ Actual value) × 100

Given,

Actual length of the book = 24 cm

Actual width of the book = 16 cm

Dana's estimated length of the book = 40 cm

Dana's estimated width of the book = 20 cm

Error in measurement of length of the book =

(Measured Length - Actual Length/Actual length) × 100

= (40 - 24/24) ×100 = 66.67%

Error in measurement of width of the book =

(Measured width - Actual width/Actual width) × 100

= (20 - 16 / 16) × 100 = 25%

Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.

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Answer:

16

Step-by-step explanation:

72/2 = 36

Square root of 36 is 6; 6 x 2 = 12

square root of 4 is 2 and 2^2 equals 4.

12 +4 =16

Mark me brainliest please

Answer:

16

Step-by-step explanation:

72/2=36

square root 36=6

6*2=12

root4 squared is 4

12+4=16

Hope that helps :)

Answer:

B

Step-by-step explanation:

solution to the system is where they intercept

Answer:

C. No; there is no relationship between the x value and its corresponding y value.

Step-by-step explanation:

I calculated it logically

Answer:

The correct answer c. No; there is no relationship between the x value and its corresponding y value

Answer:

d. a value of the variable that makes the polynomial equal to zero

Answer:

x = -1

Step-by-step explanation:

0.5(5-7x)=8-(4x+6)       note.......0.5   = 1/2

(1/2) ( 5 - 7x)  = 8 - 4x - 6

(1/2) (5 - 7x)  = 2 - 4x    multipy through by 2

5 - 7x   = 4 - 8x         add 8x  to both sides.......subtract 5 from both sides

x = -1

Answer:

easy theanswer is -14x

Step-by-step explanation:

Answer:

To find the resultant force of an object, we need to add up all the forces acting on it. The resultant force is the overall force that the object experiences, taking into account all the individual forces.

In this case, we are given four objects, A, B, C, and D, and the forces acting on them. To find the object with the largest resultant force, we need to calculate the resultant force for each object by adding up all the forces acting on it.

For object A, the forces acting on it are: 10 N, 10 N, and 10 N, for a total of 10 N + 10 N + 10 N = 30 N.

For object B, the forces acting on it are: 5 N, 5 N, 5 N, and 5 N, for a total of 5 N + 5 N + 5 N + 5 N = 20 N.

For object C, the forces acting on it are: 30 N and -5 N, for a total of 30 N + (-5 N) = 25 N.

For object D, the forces acting on it are: 10 N and -5 N, for a total of 10 N + (-5 N) = 5 N.

Therefore, the object with the largest resultant force is object C, with a resultant force of 25 N.

The half life of the iodine is obtained as 6.2 s.

Let us recall that the half  life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.

Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;

Half life = 0.693/K

Half life = 0.693/0.1113

Half life = 6.2 s

It would have the half life about 6.2 s.

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