Brian has 39 cards and Wesley has 48 cards
Step-by-step explanation:
Let w be the number of cards Wesley has
and
b be the number of cards Brian has
Then
Putting w = 2b-30 in equation 1
Dividing both sides by 3
Putting b=39 in equation 2
Hence,
Brian has 39 cards and Wesley has 48 cards
Keywords: Linear equations, variables
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Answer:
D sentence 5
Step-by-step explanation:
Answer:
120 posters
Step-by-step explanation:
300 - 60 = 240
240/2 = 120
Answer:26
Step-by-step explanation:
Y=1.25^x-2/5-10
Take log of both sides
So Y+10=1.25^x-2/5
So log to base 10 of the two sides of the equation is
Log(Y+10)=X-2/5log1.25.
To make X the subject, divide both sides by log1.25.
Log(Y+10)/log1.25=X-2/5.
Recall that Y was given to be 115
It becomes log(115 +10)/Log1.25=x-0.4
21.64=x-0.4
X=25.6
Solve for x over the real numbers:
x^2 - 4 x = 5
Subtract 5 from both sides:
x^2 - 4 x - 5 = 0
x = (4 ± sqrt((-4)^2 - 4 (-5)))/2 = (4 ± sqrt(16 + 20))/2 = (4 ± sqrt(36))/2:
x = (4 + sqrt(36))/2 or x = (4 - sqrt(36))/2
sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:
x = (4 + 6)/2 or x = (4 - 6)/2
(4 + 6)/2 = 10/2 = 5:
x = 5 or x = (4 - 6)/2
(4 - 6)/2 = -2/2 = -1:
Answer: x = 5 or x = -1
