Answer:
B) 54
Step-by-step explanation:
A mode of a number set is the number the appears the most.
In the list given, 54 was the number that appeared the most.
2000 + 1500g ≤ 15000
1500g ≤ 15000 - 2000
1500g ≤ 13000
g ≤ 13000/1500
g ≤ 8 2/3
Therefore, the crane can safely lift a maximum of 8 2/3 cubic meters of gravel.
Answer:
Step-by-step explanation:
Total weight of all of the filled jars with jam = 211.2 ounces
When empty, each jar weighs 1.2 ounces
Total weight of 2 dozens of empty jar = 24 × 1.2 ounces
= 28.8 ounces
Total weight of jam in 2 dozens jar = Total weight of all of the filled jars with jam - Total weight of 2 dozens of empty jar
= 211.2 ounces - 28.8 ounces
= 182.4 ounces
The weight of jam in one jar = 182.4 ounces / 24 jars
= 7.6 ounces
The weight of jam in one jar = 7.6 ounces
Answer: C
Step-by-step explanation:
Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).
First rearrange the equation
-3x + y/2 = -3
Y = 2( 3x - 3 )
Y = 6x - 6 ..... (1)
Also, the slope of points (1, 0) and (0, -6). Will be
M = ( -6 - 0 )/( 0 - 1 )
M = -6/-1
M = 6
Using general linear equation
Y = MX + C
Let Y = 0 and X = 1
0 = 6(1) + C
C = -6
Substitutes C back into the equation
Y = 6x - 6 ...... (2)
The value of b that will cause the system to have infinitely many number of solutions is 6
Answer:
x = 5
Step-by-step explanation:
<u>Step 1: Multiply out the brackets</u>
48x - 80 - 40x + 80 = 40 → <em>negative + negative = positive [-10 x -8]</em>
<u>Step 2: Simplify</u>
8x = 40 →<em> collect like terms</em>
<u>Step 3: Solve</u>
x = 
x = 5
