We are given dimensions of model and actual figure.
model: 9.5cm actual : 30.5m.
We need to find the length of actual shape for the scale factor 5cm.
Let us assume actual length be x m.
Let us set a proportion now.
<h3>5 : x = 9.5 : 30.5</h3>
Let us convert proportion into fractions.
On cross multiplying, we get
9.5x = 5× 30.5
9.5x = 152.5.
On dividing both sides by 9.5, we get
x=16.05.
<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>
Answer:
7, 9, 17
Step-by-step explanation:
The sum of the two smallest numbers has to form a number larger that the largest number, and 7 + 9 = 16 which is less than 17.
Answer: $106.8
Step-by-step explanation:
Given that the bond price is $100.75
With a 6% brokerage fee
Find the total cost to the nearest cent
First, we calculate the 6% brokerage fee= 6/100 × 100.75
= 0.06 x 100.75
= 6.045
Total cost therefore is the sum of brokerage fee and the cost of bond
= $6.045 + $100.75
= $106.795
To the nearest cent = $106.8
2/5 were sold in the morning. This is equal to 40% of the total. That leaves 60% leftover.
3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).
The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.
5/100 = 24/x
5x = 24(100)
5x = 2400
x = 480
ANSWER: 480 cartons
