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BigorU [14]
3 years ago
11

If Cara works 14 hours, she earns $84. If she works 19 hours, she earns $114. Let y represent the total amount of money that Car

a earns working x number of hours. Model a equation and determine if this is a direction or inverse variation. 20 POINTS!!
Mathematics
1 answer:
seraphim [82]3 years ago
7 0

Answer:

Step-by-step explanation:

14r=84, r=84/14=6, so the hourly rate is $6 an hour so

y(x)=6x

Since this is of the form y/x=k or y=kx it is directly proportional. Inverse proportion is of the form yx=k or y=k/x

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How many centimeters long is a leg of an isosceles right triangle if its hypotenuse has a length of 8√2 centimeters?
andrew-mc [135]

Answer:

The leg is 8 cm long

Step-by-step explanation:

An isosceles right triangle has the length of its hypotenuse and opposite equal

Let us call the length x

From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have ;

x^2 + x^2 = (8 √2)^2

2x^2 = 128

x^2 = 128/2

x^2 = 64

x= √64

x = 8 cm

7 0
3 years ago
Find the equation of a line passing through (3, -5) that is parallel to 2x+6y=10
Zina [86]

Answer:

The equation of the line would be y = -1/3x - 4

Step-by-step explanation:

In order to find this, we first need to find the slope of the original line. We do this by solving for y.

2x + 6y = 10

6y = -2x + 10

y = -1/3x + 5/3

Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - -5 = -1/3(x - 3)

y + 5 = -1/3x + 1

y = -1/3x - 4

4 0
4 years ago
gas prices decreased this week from $4 per gallon to 3.80 dollars per gallon what is the percent decrease​
evablogger [386]

Answer: 5%

Is the percentage

5 0
3 years ago
Read 2 more answers
Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure
inysia [295]

Answer:

34 inches

Step-by-step explanation :

54/360 X 20

6 0
3 years ago
Hi! Pls help me with this question:
zimovet [89]

Answer:

PR=8

ST=5

Step-by-step explanation:

2x=8

x=4

PR=2x=8

5z=2z+3

3z=3

z=1

ST=5z=5

8 0
3 years ago
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