The sum of the page numbers of two facing pages in a book is 145. What are the page numbers?

Answers

Answer 1

Answer: The answer is 72 and 73. When you add 72+73 it equals 145.

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Which ordered pair will solve the equation 2 × 4 + x = y?A. (5, 16) B. (4, 12) C. (3, 12) D. (2, 9)
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Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?5x + 13y = 232
12x + 7y = 218
The first equation can be multiplied by –13 and the second equation by 7 to eliminate y.
The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.

Answers

The THIRD sentence is correct.
The first equation can be multiplied by -12 and the second equation by 5, to eliminate x.
Let's do this:
(1st equation) 5*x + 13*y = 232 / *(-12)
(2nd equation) 12*x + 7*y = 218 / *(5)
---------------------------------
When multiplied, we get:
(1st equation) -60*x - 156*y = -2784
(2nd equation) 60*x + 35*y = 1090
---------------------------------
Further, first equation now will be obtained when ADDING 1st and 2nd equation together:
(1st equation) -60x+60x-156y+35y=-2784+1090
2nd equation we get from just writing any equation from the beginning, for example, the second one:
(2nd equation) 12*x + 7*y = 218
-----------------------------------------
(1st equation) 0*x - 121*y = -1694
(2nd equation) 12*x + 7*y = 218
------------------------------------------
(1st equation) -121*y = -1694 [x variable is in this step eliminated]
(2nd equation) 12*x + 7*y = 218
----------------------------------------------
(1st equation) y = 1694/121
(2nd equation) 12*x + 7*y = 218
----------------------------------------------
(1st equation) y = 14
(2nd equation) 12*x + 7*14 = 218
----------------------------------------------
(1st equation) y = 14
(2nd equation) 12*x + 98 = 218
----------------------------------------------
(1st equation) y = 14
(2nd equation) 12*x = 218 - 98
----------------------------------------------
(1st equation) y = 14
(2nd equation) 12*x = 120
----------------------------------------------
(1st equation) y = 14
(2nd equation) x = 120/12
----------------------------------------------
(1st equation) y = 14
(2nd equation) x = 10
----------------------------------------------
So, solution of the system of this two equations is obtained, and it is:
(x,y)=(10,14)

Answer:

The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.

Solve the inequality. 42 < –6d
A. d < –7
B. d < 36
C. d > –7
D. d < –48

Answers

42 < -6d

divide 6 by both sides,

7 < -d

Which amount is less 250 mL or 250 L

Answers

To see which one is lesser, it is necessary to convert one to the unit of the other. This can be done using the following relation: 1 L = 1000mL

Converting 250mL to L:

250 mL * (1 L / 1000 mL) = 0.25 L.

Therefore, the amount 250 mL is the lesser of the two.

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, herclass collected 2 tops. On the third day, her class collected 8 tops. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?

Answers

The exponential model would take the form:
$y=Ae^(kt)$
A, the initial value is 2, we will use 3 days and 8 tops to find k, or the rate.
$8 = 2e^(k*3)$
$k = (ln(4))/(3)$

Now, plugging in 6 days:
$y = 2e^{ (ln(4))/(3)*6}$
$y = 32$

The linear would take the form:
y = mx+b
First the slope would be: (8-2)/(3-1) = 3
And to find b we could plug in the point (8,3):
8 = 3(3)+b
b = 8-9
b = -1
y = 3x-1
At x=6
y = 3(6)-1
y = 17

Thus, the exponential is almost double the result of the linear! Hope that helps.

Answer:

Step-by-step explanation:

for the exponential it is actually 64

Whats the difference between abs extreme values and extreme values?

Answers

The difference between abs extreme values (absolute extreme values) and extreme values is:
The absolute extreme values, or extrema, refer to the maximum and minimum values of a function while an extreme value, or extremum (plural extrema), is the smallest (minimum) or largest (maximum) value of a function.

>A function f is said to have an absolute maximum on an interval I at x0 if f(x0 ) is the largest value of f on I; that is, f(x0 ) ≥ f(x) for all x in the domain of f that are in I.

The upper-left coordinates on the a rectangle are (-4,4), and the upper-right coordinates are (4,4). The rectangle has a perimeter of 20 units

Answers

Step-by-step explanation:

im pretty sure this is it.

you would have to count the units between the two pints given and count it twice (since a rectangles opposite side are equal)

To solve this problem, firstly, let's find the width of the rectangle. The width of the rectangle is the horizontal distance between the upper-left and upper-right points. In the Cartesian coordinate system, this simply means taking the difference between the x-coordinates of these points. We find the difference between 4 (x-coordinate of upper-right point) and -4 (x-coordinate of upper-left point). This gives us 8 units, which is the width of our rectangle.

Now that we know the width, we can proceed to find the length. We know that the perimeter (total distance around the rectangle) is given by the formula 2L + 2W, where L is the length and W is the width of the rectangle.

We know that the perimeter is 20 units and the width is 8 units.

We can substitute these values into the formula and solve for L (the length):

20 = 2L + 2*8

Simplifying the right side gives us:

20 = 2L + 16,

Subtracting 16 from both sides gives us:

4 = 2L

Finally, divide both sides by 2 to solve for L:

L = 2 units.

So, the

Answer: width of the rectangle is 8 units and the length is 2 units.

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