. Multiplying the denominator by 
gives
Subtracting this from the numerator gives a remainder of
. Multiplying the denominator by 
gives
and subtracting this from the previous remainder gives a new remainder of
This last remainder is exactly the same as the denominator, so 
divides through it exactly and leaves us with 1.
What we showed here is that
and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:
which matches the original numerator.
Total height of the cake and the candles is 17.1 cm
Step-by-step explanation:
- Step 1: Convert the mixed fractions into decimal expressions.
11 7/10 cm = 117/10 = 11.7 cm
5 4/10 cm = 54/10 = 5.4 cm
- Step 2: Find total height of the cake and the candles
Total height = 11.7 + 5.4 = 17.1 cm
Answer:
∠TPR = right angle
∠SPQ = acute angle
∠QPT = obtuse angle
Step-by-step explanation:
Right angles are 90°, acute angles are angles less than 90°, obtuse angles are angles more than 90°
Let S = spoon
Let K = knife
1 knife is thee times the cost of a spoon, so it would be 3S
Now you have 9S + 12K = 82.80
We can replace the K with 3S:
9S +12(3S) = 82.80
Simplify the left side:
9S + 36S = 82.80
Add:
45S = 82.80
Divide both sides by 45"
S = 82.80 / 45
S = 1.84
One spoon cost $1.84
We know one knife cost 3 times as much, so multiply the cost of a spoon by 3:
Knife = 1.84 x 3 = $5.52
