Answer: 350
Step-by-step explanation:
Let the cheeseburger be represented by a.
Since there were 51 fewer cheeseburgers sold than hamburgers. This means that hamburgers will be:
= a + 51.
Since the local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers. This will be:
a + a + 51 = 649
2a + 51 = 649
2a = 649 - 51
2a = 598
a = 598/2
a = 299
299 cheeseburger were sold
Therefore, the number of hamburger sold will be:
= 649 - 299
= 350
Answer:
m=0
Step-by-step explanation:
The slope of a line can be found using:

Let's call (2,0) our "2" coordinate, and (1,0) our "1" coordinate.
Coordinates are written as: (x,y)
Therefore, our x2 is 2 and y2 is 0. Our x1 is 1 and y2 is 0.
Substitute these values into the formula .


m=0
The slope of the line is 0
First aquarium dimensions:
Length = 6 m.
Width = 4 m and
Height = 2 meter.
Second aquarium dimensions:
Length = 8 m.
Width = 9 m and
Height = 3 meter.
We know formula for volume of a cuboidal box = Length*Width*Height.
Plugging values of length, width and height of first aquarium in formula of volume. We get
V1 = 6*4*2 = 48 m^3.
Plugging values of length, width and height of second aquarium in formula of volume. We get
V2 = 8*9*3 = 216 m^3.
In order to find the total cubic meters of space do the sea turtles have in their habitat, we need to add both volumes.
Therefore, Total voulme of both aquarium = V1 +V2 = 48+216 = 264 m^3.
Therefore, total 264 m^3 cubic meters of space the sea turtles have in their habitat.
The first and last choices are true.
First Choice:
7 of a total of 16 cells should be shaded.
Last Choice:
Double the numerator and denominator of 6:8. 12 is greater than 7 (12:16 and 7:16)
Hope it helped and I hope those are the correct answers.
Given that a polynomial function P(x) has rational coefficients.
Two roots are already given which are i and 7+8i,
Now we have to find two additional roots of P(x)=0
Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.
conjugate of a+bi is given by a-bi
So using that logic, conjugate of i is i
also conjugate of 7+8i is 7-8i
Hence final answer for the remaining roots are (-i) and (7-8i).