An inequality to model this would be
7x + 8y ≥ 336.
We multiply the number of minutes running, x, by the number of calories burned each minute by running, 7. We multiply the number of minutes swimming, y, by the number of calories burned each minute by swimming, 8. Adding these together, it needs to be greater than or equal to 336, since she wants to burn at least that many calories.
Answer:
x= 13/3
y=7.5
AB is 97/3
ABC is 122
Step-by-step explanation:
A rhombus is a special type of quadrilateral that has 4 equal sides and perpendicular diagonals which bisect each other and the angles. Knowing this then 4x+15 is equal to 7x+2 and 12y is equal to 90. Solve for each variables then substitute as needed to find the remaining values.
4x+15=7x+2
15=3x+2
13=3x
13/3 = x
BC is 4x+15 = 4(13/3)+15 = 52/3 + 45/3 = 97/3
CD is 7x+2 = 7(13/3)+2 = 91/3 + 6/3 = 97/3
Now solve for 12y=90 and y = 7.5.
Angle AFB is 12(7.5) = 90
Angle BCF is 4y-1 = 4(7.5)-1 = 29
Since the diagonal bisects the angle this means angle BCD is 58. So angle ABC will be 180-58 = 122
Answer:
c) A writer uses twice as many pencils each week as he did the week before.
Step-by-step explanation:
C is exponential while the rest are linear. They increase by a set amount over a certain amount of time
The volume of the rectangular prism:
V = length × width × height
Answer: