Answer:
23 marbles
Step-by-step explanation:
3 groups of 7 = 21 +2 = 23
4 groups of 5 = 20 +3 = 23
V = pi * r^2 *h
where r is the radius and h is the height of the cylinder
V = pi * 7^2 *4
V = pi* 49*4
pi is approximated by 3.14 or 22/7
V = 22/7 * 49 * 4
V = 616 units ^3
Answer:
A. No solution
Step-by-step explanation:
The given equation is 4(2 x + 9) = 4(2 x +6)
We divide through by 4 to get:
2 x + 9 = 2 x +6
We now group similar terms to obtain:
This final statement is false.
Therefore the given equation has no solution.
Answer:
C. 1/4 lb of chicken per person
Step-by-step explanation:
Find the rate of change for the situation.
A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
A. 9/17lb per person
B. 4 lb per person
C. 1/4 lb per person
D. 36 people
Solution
9 lbs of chicken for 36 people
Chicken per person = Total lbs of chicken / Total number of people
= 9 lbs / 36 people
Chicken per person = 1/4 lb of chicken per person
17 lbs of chicken for 68 people
Chicken per person = Total lbs of chicken / Total number of people
= 17 lbs / 68 people
= 1/4 lb of chicken
Chicken per person = 1/4 lb of chicken per person
Therefore, the rate of change of the situation = 1/4 lb of chicken per person
Answer:
x = 3, y = - 2
Step-by-step explanation:
By substitution method,
4x + y = 10 -------> equation 1.
7x + 2y = 17 -------> equation 2.
From equation 1,
y = 10 - 4x ------> equation 3.
Substitute equation 3 in 2,
7x + 2 ( 10 - 4x ) = 17
7x + 20 - 8x = 17
7x - 8x = 17 - 20
- x = - 3
x = 3
Substitute x = 3 in equation 1,
4 ( 3 ) + y = 10
12 + y = 10
y = 10 - 12
y = - 2
Hence,
x = 3
y = - 2
