Answer:
The number of boys last year will be 50 boys
Step-by-step explanation:
330 members with 240 adults
The number of children will be;
330-240 = 90
2/3 of 90 are boys
= 2/3 * 90 = 60 boys
Number of girls is 90-60 = 30
Ratio of adults:boys:girls
= 240:60:30
divide through by 30
= 8:2:1
b) A year ago, there were 200 adults but the ratio still remains same
Let the number of girls be x, the number of boys will be 2x
Thus, total number is 200 + x + 2x = 200 + 3x
Total ratio is 8 + 2 + 1 = 11
mathematically;
8/11 * (200 + 3x) = 200
8(200 + 3x) = 11(200)
1600 + 24x = 2200
24x = 2200-1600
24x = 600
x = 600/24
x = 25
So the number of boys will be 25 * 2 = 50
Answer:
tan(x-y) = -16/63
Step-by-step explanation
Tan(x-y) if cscx=13/5 and coty=4/3
Given
coty = 4
1/tany = 4/3
Cross multiply
tan y = 3/4
Also since cscx = 13/5
1/sinx = 13/5
sinx = 5/13
Since sinx = opp/hyp
opp = 5
hyp = 13
Get the adjacent
hyp² = opp²+adj²
13² = 5²+adj²
adj² = 13² - 5²
adj² = 169 - 25
adj² = 144
adj = 12
cosx = adj/hyp
cosx = 12/13
tanx = sinx/cosx
tanx = (5/13)/(12/13)
tanx = 5/13 * 13/12
tan x = 5/12
tan(x-y) = tanx - tany/1+tanxtany
tan(x-y) = (5/12 - 3/4)/1+(5/12)(3/4)
tan(x-y) = (5-9/12)/1+5/16
tan(x-y) = -4/12/(21/16)
tan(x-y) = -1/3 * 16/21
tan(x-y) = -16/63
Well this problem can be solved with Algebra
the rule here is that for every incrementing sequence you increase your number by 6.
T(n)=18+6(n-1)
for 603 to be in the sequence, it has to male sense with the function above
603=18+6(n-1)
603-18=585
585=6(n-1)
n-1=(585/6)
n=(585+6)/6
n=591/6
here is your answer.
Answer:
Answer: 2.5
Step-by-step explanation:
It seems as if everything is divided by two so 5/2 is 2.5
The group rent 11 river rent tubes and 4 cooler tubes.
Step-by-step explanation:
Rent for river rent tube = $20
Rent for cooler tubes = $12.50
Total spent = $270
Total tubes rented = 15
Let,
x be the number of river rent tube.
y be the number of cooler tubes.
According to given statement;
x+y=15 Eqn 1
20x+12.50y=270 Eqn 2
Multiplying Eqn 1 by 20
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 7.5
Putting y=4 in Eqn 1
The group rent 11 river rent tubes and 4 cooler tubes.
Keywords: linear equations, subtraction
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