Answer:
9 labours
Step-by-step explanation:
In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.
In indirect proportion, if one quantity increases, the other decreases and vice versa.
As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.
6 labours => 12 days
x labours => 8 days
Since its an inverse proprotion, multiply 6 with 12, and x with 8.
8x = 6 × 12
x = 
∴ x = <u>9 labours</u>
Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the <em>sum of all angles of pentagon = 540</em>
So, adding all angles and equal them to 540, we can find value of x
So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
Answer:
Since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.
Step-by-step explanation:
Knowing that a 190-gram box of crackers costs $ 1.49 and an 850-gram box costs $ 6.99, to determine which of them is a better deal, the following calculation must be performed:
1.49 / 190 = 0.0078
6.99 / 850 = 0.0082
Therefore, since each cracker in the 190 gram box costs $ 0.0078 while the 850 gram box costs $ 0.0082 each, the 190 gram box is a better deal.
Answer:
V = 5(12)(7) which is F.
Step-by-step explanation:
V = LWH
L = 12
W = 5
H = 7
12 * 5 * 7
