Answer:
84 men
Step-by-step explanation:
The ratio of men to children is ...
men/children = 35%/30% = 7/6
Given the number of children is 72, the number of men is ...
men/children = 7/6 = men/72
men = (7/6)(72) = 84
There are 84 men at the party.
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<em>Additional comment</em>
The fraction of women is 100% -30% -35% = 35%, the same as the number of men. There are 84 women at the party and 240 total people.
Answer:
y > -7
Step-by-step explanation:
Isolate the variable, y. Treat the > as a equal sign, what you do to one side, you do to the other. Subtract 7 from both sides:
y + 7 (-7) > 0 (-7)
y > 0 - 7
y > -7
y > -7 is your answer.
~
Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
Answer:
Y and J
Step-by-step explanation:
They have zero lines of symmetry
