Answer:
605 boys
Step-by-step explanation:
If the ratio of boys to girls is 5:7
and there are 847 girls
we can plug this value into the ratio by doing something like:
5:7
= 5/7
= x/847
Because the ratio has to be the same, we can substitute x for the number of boys and solve by the cross method or whatever you guys call it.
5 x
--- x ------
7 847
The x in the middle is just to show the direction you are multiplying.
the 5 is multiplied by the 847 and the 7 is multiplied by x.
847 * 5 = 4,235
4,235 divided by 7 is 605
605 is your answer.
The cross method can be used in most situations.
* is used to represent multiplication btw
Answer:
(B) Time (min) 2 , 3 , 7 , 9
Temperature (°C) 60.6 , 64.3 , 79.1 , 86.5
Step-by-step explanation:
The rate of change is found by using the formula for slope:
For option A, this gives us
m =(64.4-61.0)/(3-2) = 3.4/1 = 3.4
This is not more than relationship A.
For option B, we have
(64.3-60.6)/(3-2) = 3.7/1 = 3.7
This is more than relationship A.
For option C, we have
(65.3-61.8)/(3-2) = 3.5/1 = 3.5
This is not more than relationship A.
For option D, we have
(64.6-61.0)/(3-2) = 3.6/1 = 3.6
This is not more than relationship A.
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
Answer:
4.25%
Step-by-step explanation:
<u>Step 1: Calculate the commission paid</u>
<em>Commission = Gross earning - base salary</em>
<em>Commission = 441.3 - 375</em>
Commission = 66.3
<u>Step 2: Calculate the commission sales</u>
<em>Commission sales = Total sales - quota sales</em>
<em>Commission sales = 6560 - 5000</em>
Commission sales = 1560
<u>Step 3: Calculate the rate of commission</u>
<em>x% of 1560 = 66.3</em>
<em>x% * 1560 = 66.3</em>
<em>x% = 0.0425</em>
x = 4.25%
Therefore, the rate of commission was 4.25%.
!!
a) 2/6 * 1/5 = 2/30 = 1/15
b) 1/15 + 2/6 * 1/5 = 2/15
