Pam has two part time jobs. at one job, she works as a cashier and makes $8 per hour. at the second job, she works as a tutor and makes $12 per hour. one week she worked 30 hours and made $268. how many hours did she spend at each job?

Hello there!

we know that she earns $8 in the job 1 and $12 in the job 2; let's call J1 the amount of hours worked in the job 1, and J2 the number of hours worked in the job 2, then we have the system of equations:

J1 + J2 = 30

J1*$8 + J2*$12 = $268

We can isolate J1 in the first equation and obtain:

J1 = 30 - j2, and now we can replace this in the second equation and obtain the value of j2:

J1*$8 + J2*$12 = $268

(30 - J2)*$8 + J2*$12 = $268

$240 +$4*J2 =$268

J2 = ($268 - $240)/$4 = 28/4 = 7 hours

She worked 7 hours in the job 2

you can replace it in the first equation and get:

7 + J1 = 30

J1 = 30 - 7 = 23 hours

she worked 23 hours in the job 1.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4