Answer:
4 M + 2 N = 120
Step-by-step explanation:
If we name "M" the number of tables for four people, and "N" the number of tables for two people, then the total number of people to be seated using M tables (of four people) would be the product "4 * M".
Similarly, the total number of people to be seated if the owner has N number of two person tables, would be: "2 * N".
Therefore, if the owner has M four people tables and N two person tables, the total number of people seated at the restaurant would be the addition:
4 * M + 2 * N. Since he wants this number to be 120, we complete the equation making this expression equal to 120:
4 * M + 2 * N = 120
Answer:
a = -6/5
Step-by-step explanation:
For the graphs to be parallel the graphs should have same slope(m)
So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,
This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1
so if we compare it with y = mx + b the coefficient of x is m and hence
m= -2/5 now solving for equation 2
so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:
we equation both the slope to each other to find the value of a like this,
so the value of a equals
a= -6/5
Answer:
No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1
I think they all will make it a function.
Answer:
a) 30 inches × 30 inches × 30 inches
b) 27,000 inches³
c) 14,130 inches³
d) 12,870 inches³
Step-by-step explanation:
Edge of the cube = diameter = 30 inches
Volume of cube = s³
30³ = 27000 inches³
Radius = 30/2 = 15
Volume of sphere:
(4/3) × 3.15 × 15³
14130 inches³
Difference:
27000 - 14130
12870 inches³
