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steposvetlana [31]
3 years ago
11

You work two jobs. You earn $11.90 per hour as a salesperson and $10.50 per hour stocking shelves. Your combined earnings this m

onth are $178.50. Let x represent the number of hours worked stocking shelves and let y represent the number of hours worked in sales. GRAPH the equation that models this situation.
Mathematics
1 answer:
Arisa [49]3 years ago
4 0

Answer:

10.50x+11.90y=178.50

Step-by-step explanation:

x = represent the number of hours worked stocking shelves

y=  represent the number of hours worked in sales.

You earn $11.90 per hour as a salesperson = 11.90y.

You earn $10.50 per hour stocking shelves =10.50x.

Your combined earnings this month are $178.50.

10.50x+11.90y=178.50

The required equation model the situation is 10.50x+11.90y=178.50

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A fan has 2000 J of kinetic energy. If the angular velocity of the fan is doubled,
DanielleElmas [232]

The new Kinetic energy is 8000 J

Step-by-step explanation:

Step 1 :

Given,

The Kinetic energy of the fan = 2000J

We need to find  new kinetic energy when the angular velocity is doubled.

Step 2 :

We have

KE = \frac{1}{2 } × m × v² = 2000

where m represents the mass and  v represents the singular velocity

v = r ω where

r is radius of  fan and ω is the angular velocity.

Given that the angular velocity is doubled  singular velocity is also doubled. since the radius of the fan is the same in both cases we have

the new velocity = 2rω = 2v

So the KE = \frac{1}{2} m(new velocity)² = \frac{1}{2} m(2v)² = 4 (\frac{1}{2} mv²) = 4 (2000) = 8000 J

Step 3 :

Answer :

The new Kinetic energy is 8000 J

4 0
3 years ago
The area of a rectangle is 600 m² the width is 30 m what is the length
Angelina_Jolie [31]

Answer:

20m

Step-by-step explanation:

600 divided by 30 = 20

7 0
2 years ago
A triangle T is bounded (on three sides) by the lines x = 6, y = 0, and y = 3 2 x. A rectangle of width w is inscribed inside T.
Viktor [21]

Answer:

33.85 units^2

Step-by-step explanation:

you must first draw the triangle on the plane using the equations (see

attached file), you will have a right angle triangle with a height of 192 and a base of 6.

then you calculate the angle with the tangent function = 88.21

Then you use the small triangle to find the value of a (see attached file).

Finally, you propose an equation for X to find one of the sides of the triangle, once you have x squared it, and you already have the area,

i attached procedure

7 0
3 years ago
20 points if you help me solved this problem plz it’s urgent someone plz help me I need help! Will mark you as brainiest!
deff fn [24]

Answer:  see below

<u>Step-by-step explanation:</u>

C(x) = 39 when 0 < x ≤ 1.0

C(x) = 63 when 1.0 < x ≤ 2.0

C(x) = 87 when 2.0 < x ≤ 3.0

C(x) = 111 when 3.0 < x ≤ 4.0

C(x) = 135 when 4.0 < x ≤ 5.0

C(x) = 159 when 5.0 < x ≤ 6.0

Based on the information I provided above, the answers are:

a) x= 0.6, C(x) = 1.0

   x = 1.0, C(x) = 39

   x = 1.1,  C(x) = 63

   x = 2.5, C(x) = 87

   x = 3.0, C(x) = 87

   x = 4.8, C(x) = 135

   x = 5.0, C(x) = 135

   x = 5.3, C(x) = 159

b) If C(x) = 87, then 2.0 < x ≤ 3.0

c) Domain (all possible x-values): 0 < x ≤ 6.0

d) Range (all possible y-values): {39, 63, 87, 111, 135, 159}

3 0
3 years ago
Which fraction is the greatest (represents the largest quantity) 1/3 3/8 2/5 1/2?
ale4655 [162]
1/2 is the largest fraction out of all of them
3 0
3 years ago
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