Question

4 angela uses $7\frac{1}{2}$ inches each of 6 different colors of embroidery floss to make one friendship bracelet. each package of floss contains 26 feet. how many friendship bracelets can angela make if she has one package of each color? a 249 bracelets b 41 bracelets c 39 bracelets d 3 bracelets 5 raul’s car averages 17.3 miles per gallon of gasoline. how many miles can raul drive if he fills his tank with 10.5 gallons of gasoline? write your answer in the space provided. mi

Explanation:

Question 4

Step1: Convert feet to inches

Since 1 foot = 12 inches, a 26 - foot package of floss is \(26\times12 = 312\) inches. And she has 6 packages (one of each color), so total floss length is \(312\times6=1872\) inches.

Step2: Find floss used per bracelet

She uses \(7\frac{1}{2}=\frac{15}{2}\) inches of each of 6 colors per bracelet. So per bracelet, floss used is \(\frac{15}{2}\times6 = 45\) inches.

Step3: Calculate number of bracelets

Number of bracelets \(=\frac{\text{Total floss length}}{\text{Floss per bracelet}}=\frac{1872}{45}=41.6\). Since we can't make a fraction of a bracelet, we take the whole number part, but wait, let's check again. Wait, each package is 26 feet, and she has one package of each color (6 colors). So total floss in inches: \(26\) feet per package, 6 packages: \(26\times12\times6 = 1872\) inches. Per bracelet: \(7.5\times6 = 45\) inches. Then \(1872\div45 = 41.6\), but the options have 41. Wait, maybe I made a mistake? Wait, no, \(45\times41 = 1845\), \(45\times42=1890\) which is more than 1872. So the answer is 41.

Step1: Use the formula for distance

The formula for distance \(d\) when average miles per gallon is \(m\) and gallons of gasoline is \(g\) is \(d = m\times g\).

Step2: Substitute values

Here, \(m = 17.3\) miles per gallon and \(g = 10.5\) gallons. So \(d=17.3\times10.5\).

Step3: Calculate the product

\(17.3\times10.5=(17 + 0.3)\times10.5=17\times10.5+0.3\times10.5 = 178.5+3.15 = 181.65\) miles.

Answer:

B. 41 bracelets

Question 5