Answer:
a. fly = 5.7
b. fly = 7.5
Step-by-step explanation:
a.
hoist/fly = 1 / 1.9
The new hoist is 3. To get this you have to multiply 1 by 3. That means you have to multiply 1.9 by 3 too.
1.9 * 3 = 5.7
b.
hoist/fly = 3/5 (this is the new ratio)
4.5 / 3 = 1.5
5 * 1.5 = 7.5
Answer:
300pi
Step-by-step explanation:
that is 3/4 of a circle with the radius of 20. Meaning that the area is 300pi
Answer:
315 chocolate
Step-by-step explanation:
Let Sam's chocolate be S
Let Clariss's chocolate be C
When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.
This can be written as:
C = 5S
The sum of their chocolate is 504 i.e
S + C = 504
Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:
S + C = 504
But: C = 5S
S + 5S = 504
6S = 504
Divide both side by 6
S = 504/6
S = 84.
C = 5S = 5 x 84 = 420
Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.
Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:
Amount of chocolate that Clarissa has a first = 420 – 105 = 315
Therefore, Clarissa had 315 chocolate at first.
32. The absolute value of a number x (|x|) will always be positive. It just means how far the number is from 0 on the number line.
2x-438 = -438+2x= 2(x-219)
