Using proportions, it is found that the length of the rectangle should be of 152 inches.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
His proportion of width-to-length is of 5/8. For this problem, the width is of 95 inches, hence the length is found according to the following<em> rule of three</em>:
5/8 = 95/x
Applying cross multiplication:
5x = 8 x 95
x = 8(95)/5
x = 152 inches.
The length of the rectangle should be of 152 inches.
0.05$ times the number of nickels plus 0.10$ times the number of dimes is equivalent to $2.20.
Notice that 0.05$ or 5 cents is equivalent to one nickel and 0.10$ or 10 cents is equivalent to one dime.
The question asks for N+D. We know that N stands for the number of nickels Daniel has and D stands for the number of dimes Daniel has. We also know that Daniel <u>only</u> has dimes and nickels in his pocket. Therefore N+D most be equivalent to the <u>total number of coins</u>, which is given in the question to be equal to 23 coins.
If 45% are Democrats, 35% are Republicans, and 20% are independents, then
Total registered voters = 100
In an election, 70% of the Democrats, 40% of the Republicans, and 80% of the independents voted in favor of a parks and recreation bond proposal. That is,
D = 0.7 × 45 = 31.5
R = 0.4 × 35 = 14
I = 0.8 × 20 = 16
If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is