Answer:
Second table.
Step-by-step explanation:
A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.
The additive rate of change is determined using the slope formula,

From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.

For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.
The additive rate of change of this table is

Therefore the second table has an additive rate of change of 3.
Answer:
4.17 centimeters
Step-by-step explanation:
The large bottle of nasal spray is 9.46 centimeters tall. Assuming that the large bottle of nasal spray has the shape of cylinder, then the height of the cylinder is 9.46 centimeters.
The small bottle is 5.29 centimeters tall. Assuming that the small bottle of nasal spray has the shape of a cylinder too, then the height of the cylinder is 9.46 centimeters.
We want to know how much shorter the smaller bottle is than the big bottle. This is calculated by
Height of big bottle - height of small bottle
= 9.46 centimeters. - 5.29 centimeters
= 4.17 centimeters
Answer:
x = 51
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Which means that 77 + 107 + 156 + 149 + x = 540
^ ( note that we just created an equation that we can
use to solve for x )
We then solve for x using that equation
77 + 107 + 156 + 149 + x = 540
step 1 combine like terms
77 + 107 + 156 + 149 = 489
we now have 489 + x = 540
step 2 subtract 489 from each side
489 - 489 cancels out
540 - 489 = 51
we're left with x = 51
In the given question, there are two vital information's give. Firstly 8 ears of corn and 1 cantaloupe cost $2.37. On the other hand 6 ears of corn and 3 cantaloupes cost $3.51.
Let us assume the cost of 1 corn = X
Let us assume the cost of 1 cantaloupe = Y
Then
8X + Y = 2.37
Y = 2.37 - 8X
And
6X + 3Y = 3.51
Now we replace the value of Y we found from the first equation
Then
6X + 3(2.37 - 8X) = 3.51
6X - 24X + 7.11 = 3.51
-18X = 3.51 - 7.11
-18X = -3.6
X = 3.6/18
= 0.20
So $0.20 is the value of 1 corn. Then the value of a cantaloupe
Y = 2.37 - 8X
= 2.37 - (8 * 0.20)
= 2.37 - 1.6
= 0.77
So cost of a cantaloupe is $0.77
Answer:
Perimeter of NCAA court=288 feet
Perimeter of new court=259.2 feet
Step-by-step explanation:
We are given that
Length of NCAA court, l=94 feet
Width of NCAA court, b=50 feet
Width of new court, b'=45 feet
We have to find the perimeter of an NCAA court and new court in the school.
Perimeter of NCAA court=
Perimeter of NCAA court=
feet
Perimeter of NCAA court=288 feet
When two rectangles are similar then the ration of their corresponding sides are equal.
Using the property


Perimeter of new court=
feet
Perimeter of new court=259.2 feet