Answer:
The answer to your question is 20 in
Step-by-step explanation:
Data
ratio 1 : 30
real length = 55 ft
toy train length = ?
Process
1.- Use ratio and proportions to solve this problem.
1 : 30 :: x : 55
solve
x = (55 x 1) / 33
Simplification
x = 55/33
result
x = 1.67 ft
2.- Convert the length to in
1 ft ------------------ 12 in
1.67 ft -------------- x
x = (1.67 x 12) / 1
-Simplification
x = 20/1
-Result
x = 20 in
Marcos has 6 nickels and 9 quarters
<em><u>Solution:</u></em>
Let "n" be the number of nickels
Let "q" be the number of quarters
<em><u>Marcos had 15 coins in nickels and quarters</u></em>
Therefore, we can say,
number of nickels + number of quarters = 15
n + q = 15 -------- eqn 1
<em><u>He has three more quarters than nickels</u></em>
Number of quarters = 3 + number of nickels
q = 3 + n -------- eqn 2
Eqn 1 and eqn 2 represents the system of equations
<em><u>Substitute eqn 2 in eqn 1</u></em>
n + 3 + n = 15
2n + 3 = 15
2n = 15 - 3
2n = 12
<h3>n = 6</h3>
<em><u>Substitute n = 6 in eqn 2</u></em>
q = 3 + 6
<h3>q = 9</h3>
Thus Marcos has 6 nickels and 9 quarters
Step-by-step explanation: 3
Answer: £14.94
Step-by-step explanation:
36 cartons at £1.56 for 4 = 14.04
2 cartons at £45p = 0.90
The centroid is the intersection point <span>of the medians.
</span><span>So the distance from any vertex to the </span><span>centroid is 2/3 the length.
</span><span>BG=1/3*BE and GE=2/3*BE
</span><span>
So answer: </span>BG = 4, GE = 8
