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-2.8 x 10^5 or -280,000

Step-by-step explanation:

We first have to look at:

P : Parenthesis

E : Exponents

M : Multiply

D : Divide

A : Add

S : Subtract

We have to solve the question in that order:

The first thing we do is figure out the value of the exponents from left to right since there are exponents inside the parenthesis.

10^4 is just 10x10x10x10 = 10,000

10^5 same thing 10x10x10x10x10 = 100,000

Now that we know the value of the exponents we can solve the equations inside the parenthesis:

12 x 10,000 = 120,000

(120,000) - ( 4 x 100,000)

4 x 100,000 = 400,000

So the final expression is:

(120,000) - (400,000) = -280,000

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq