Right answer gets a mark. plus 20 pts. a chemical company makes two brands of antifreeze. the first brand is 60 % pure antifreeze, and the second brand is 75 % pure antifreeze. in order to obtain 180 gallons of a mixture that contains 70 % pure antifreeze, how many gallons of each brand of antifreeze must be used?

x = gallons of 60% antifreeze

y = gallons of 75% antifreeze

x + y = 180

Each gallon of the 60% brand contributes 0.6x gallons of antifreeze, and each gallon of the 75% brand contributes 0.75 gallons. The company wants the new brand to have a concentration of 70% antifreeze, so that each gallon of it contains 0.7*180 = 126 gallons of antifreeze.

0.6x + 0.75y = 126

Solve for x and y:

x + y = 180  ==>  y = 180 - x

0.6x + 0.75y = 126  ==>  0.6x + 0.75(180 - x) = 126

==>  0.6x + 135 - 0.75x = 126

==>  9 = 0.15x

==>  x = 60  ==>  y = 120

step-by-step explanation:

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.