If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14
17x(1-2y)
17x-34xy
because both expressions have a x, it would be easier to factor out the x first. but because 17 is a factor of 34 you can simply divide 34 by 17 and get 2. so you put it together to this,
17x(1-2y)
Because, 17x times 1 is 17x but 17x times -2y would be -32xy.
If the weight of the little brother is x, then the weight of Charles is x + 9
The equation that can be used to determine what each one weighs is:
x + (x + 9) = 99.
Let us now solve it.
x + x +9 = 99
2x + 9 = 99
2x = 99 - 9
2x = 90
x = 90/2
x = 45
Little brother's weight is 45 kg.
Charles' weight will be 45 + 9 = 54 kg
Adding these two weights will give 99kg
Answer:
$0.025x² . . . where x is a number of percentage points
Step-by-step explanation:
The multiplier for semi-annual compounding will be ...
(1 + x/2)² = 1 + x + x²/4
The multiplier for annual compounding will be ...
1 + x
The multiplier for semiannual compounding is greater by ...
(1 + x + x²/4) - (1 + x) = x²/4
Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.
If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...
$250·(x/100)² = $0.025x² . . . where x is a number of percentage points
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<u>Example</u>:
For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.
Answer:
$24.5 = 1 tank
Step-by-step explanation:
All you have to do is multiply.
Since 12.5 gallons = 1 tank,
and $1.96 = 1 gallon
to get the answer, the equation would be,
$1.96*12.5 = 1 tank
$24.5 = 1 tank
Hope it helps!!
