If a fourth plant produces 150 widgets in 60
days, which statement is true?

the complete question in the attached figure

the statements are

1) It makes less than plant B

2) It makes the same as plant A

3) It makes more than plant C

we know that

analyzing the graph

plant A

for x=40  y=100

for x=50   y=200

that means 

the production in 10 days is 100 widgets

then

the production in 60 days will be 6*100> 600 widgets

so

plant A production  > plant fourth production

plant fourth production < plant A production

plant B

for x=40  y=0

for x=60   y=100

that means 

the production in 20 days is 100 widgets

then

the production in 60 days will be 3*100> 300 widgets

so

plant B production  < plant fourth production

plant fourth production > plant B production

plant C

for x=20  y=0

for x=40   y=100

that means 

the production in 20 days is 100 widgets

then

the production in 60 days will be 3*100> 300 widgets

plant C production  < plant fourth production

or 

plant fourth production > plant C production

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the   (original price) is $420.

0.7x   = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.  

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.