94.3 ÷10 2 Which of these shows and explain the correct location of the decimal point when the expression is evaluated? Select three that apply. The expression is equivalent to 0.026.

The expression will have 2 zeros before the 2.

The expression will have 3 zeros after the 6.

It is the same as dividing 26 by 1000.

The expression is equivalent to 3 times smaller than 26.

It is the same as 26 ÷ 10 ÷ 10 ÷ 10.

First, you have a wrong expression for the options given. Secondly, it seems that the right expression when evaluated, equals 0.026. See below what you can do to solve this problem.

The answers are A, D and F

Step-by-step explanation:

The expression given here does not correlate with any of the options.

94.3 ÷ 10 = 9.43

I assume the '2' which is one space after the '10' is the serial number of this question in your textbook or classwork.

Even if the 2 was supposed to be attached to the 10, that'll be 102 and [94.3 ÷ 102] is equal to 0.9245

Given this confusion, it's safest to assume that the right expression when evaluated, will equal 0.026

Now based on this, 3 options that apply (3 options that mean the same thing or that properly describe the answer from the evaluation) are:

(A) The expression is equivalent to (this is the symbol for 'equivalent to' '≡') 0.026

(D) It is the same as dividing 26 by 1000. 26 divided by 1000 will give you 0.026

(F) It is the same as [26 ÷ 10 ÷ 10 ÷ 10]. Simply put all the 10s as denominators and then divide 26 by the total of the multiplied 10s. That is, 10x10x10 = 1000 then 26÷1000

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3