B) 231
To get the answer, you first need to figure out how many men are in the book club:
- Multiply the total number of members (315) by the fraction of members that are men (4/15)
- (4/15) * 315
- Multiply 4 by 315, and then divide by 15.
- This will give you the number of men (84)
Then you need to figure out how many women there are:
- Subtract the number of men (84) from the total number of members (315)
- 315 total members - 84 male members = 231 female members
Answer:
Step-by-step explanation:
It is useful to label the diagram so we can talk about the parts. (See the attachment.)
AB and CD are parallel lines, crossed by transversal AE. So, angles FAE and CDE are congruent. These are acute angles in a right triangle, so the triangles AFD and DEC are similar by the AA postulate.
This similarity means that corresponding sides are proportional:
CE/CD = DF/DA
CE = CD(DF/DA) = 16(6/10) = h
h = 9.6
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The second problem is identical to the first, but with different numbers.
CE = CD(DF/DA) = 14(8/10) = h
h = 11.2
Answer:
2 3/4 dozen cookies per hour
Step-by-step explanation:
To find his unit rate per hour, divide 5 1/2 by 2:
5.5/2
= 2.75 or 2 3/4 dozen cookies
So, his unit rate in dozen cookies per hour is 2 3/4
The answer is (1/3). So first you need to determine the fraction of time the second person worked. Multiply (1/2)x(1/3) and you will get (1/6). All the values need to add up to 1, so you can make the equation (1/2)+(1/6)+x=1. Solve for x and you will get (1/3).
