Step by step explanation
Cost of one hotdog =140/56=2.5
To find the number of hot dogs =total cost so the cost of one hotdog is =175/2.5=70
So the numbers of hot dogs he had to sell more of =70-56=14
Answer: x= (-3)
Step-by-step explanation:
3/4 [x-1] = [-3]
(x-1) = (-3) × 4/3
X-1 = -4
X= -3
Answer:
3.6° = ext. angle
Step-by-step explanation:
For the shape to be a regular polygon, all interior angles must be congruent.
We can find every interior angle by using the formula:




176.4 = each int. angle
We also know that int. and ext. angles are supplementary!
180 = 176.4 - x
3.6° = ext. angle
#9. There are 180 degrees in a triangle. We already know two of the sides which added together make 112. Then we do, 180-112=68
#10. We do the same process. 90 + 60 = 150
150-180= 30
#11. To find whether or not any three numbers can make a triangle, two of the numbers must equal more than the remaining number. But this has to be the case for any combination. 6+7=13. 13 is larger than 11. So yes it can.
#12. 8+2=10 which may be bigger than 6 but, 6+2=8. Which is equal to 8. So no, it cannot make a triangle.
I’m still working out the first question
Answer: 2/3
Step-by-step explanation:
N is the total number of students
M is the number of students thta like math
S is the number of students that like science.
We know that half of the elements in M also are elements from S
And a third of the elements of S also are elements of M
And because those elements are common elements for both sets, we should have that:
M/2 = S/3
then we have that:
M = (2/3)*S
The ratio is 2/3
this means that the number of students that like math is 2/3 times the number of students that like science.