X=number of females
47-x=number of males
# of males is 2*(number of females)-7:
47-x= 2x-7
add x to both sides:
47=3x-7
add 7 to both sides:
54=3x
divide both sides by 3:
x= 18 females
47-18= 29 males
9514 1404 393
Answer:
c) (-5, -7)
Step-by-step explanation:
In a parallelogram, the midpoints of the diagonals are the same point. This means ...
(R+T)/2 = (S+U)/2
R +T -S = U
(-6 +4 -3, -3 -1 -3) = U = (-5, -7)
<h2>Problem:</h2>
Choose all the expressions that are equal to 5/9×8.
A. 9÷5×8
B. 8/9×5
C. 5÷8×9
D. 5×1/9×8
E. 5×8
<h2>Solution:</h2>
<h2>Answer:</h2>
<u>B</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>D</u>
<h2>=============================</h2>
Hope it helps
<h2>=============================</h2>
Direct Proportion functions look like this:
y=kx
'k' is the constant of proportionality and in this case its 7.5 or 15/2.
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When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5
Therefore y is directly proportional to x.
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DIRECT PROPORTION EXPLAINED:
Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.
INVERSE PROPORTION EXPLAINED:
If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.
T=time to set up a wall
b=bricklayer(s)
Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.
When b=1, T=8.
When b=2, T=4.
We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
