Question

1 kenny had $1\frac{3}{8}$ bags of marbles, marla had $1\frac{4}{8}$ bags of marbles, and karen had $1\frac{1}{8}$ bags of marbles. how many bags of marbles did they have in all?
answer: ______ bags of marbles
2 a. draw and label ray rt.
b. draw and label line segment lb.
3 fred purchased items at 3 different stores for his home remodeling project. at store a he spent $587, at store b he spent $391, and at store c he spent $1,008. how much money did fred have left if he started with $2,564?
answer: $ ______
4 put a check next to all the fraction pairs that are equivalent to $\frac{3}{4}$.
$\square$ $\frac{4}{8}$ and $\frac{5}{12}$
$\square$ $\frac{6}{10}$ and $\frac{5}{6}$
$\square$ $\frac{6}{8}$ and $\frac{9}{12}$
$\square$ $\frac{12}{16}$ and $\frac{75}{100}$
5 add.
a. $\frac{3}{10} + \frac{50}{100} = $ ______
b. $\frac{5}{10} + \frac{35}{100} = $ ______
c. $\frac{3}{100} + \frac{4}{10} = $ ______
d. $\frac{3}{10} + \frac{6}{100} = $ ______
6 compare the decimals using >, <, or =.
a. 5.05 ______ 5.03
b. 0.36 ______ 0.69
c. 70.09 ______ 70.05
d. 0.4 ______ 0.40

Explanation:

Problem 1

Step1: Convert mixed numbers to improper fractions

Kenny: \(1\frac{3}{8}=\frac{1\times8 + 3}{8}=\frac{11}{8}\)
Marla: \(1\frac{4}{8}=\frac{1\times8+4}{8}=\frac{12}{8}\)
Karen: \(1\frac{1}{8}=\frac{1\times8 + 1}{8}=\frac{9}{8}\)

Step2: Add the fractions

Total bags \(=\frac{11}{8}+\frac{12}{8}+\frac{9}{8}=\frac{11 + 12+9}{8}=\frac{32}{8} = 4\)

a. Ray RT: A ray has a starting point and extends infinitely in one direction. Draw a point labeled \(R\), then draw a line starting at \(R\) and passing through another point labeled \(T\), with an arrow at the end near \(T\) to show it extends infinitely.
b. Line segment LB: A line segment has two endpoints. Draw two points labeled \(L\) and \(B\), then connect them with a straight line segment (no arrows, as it has a definite length between \(L\) and \(B\)).

Problem 3

Step1: Calculate total spent

Total spent \(= 587+391 + 1008\)
First, \(587+391=978\), then \(978 + 1008=1986\)

Step2: Subtract from initial amount

Money left \(=2564 - 1986=578\)

Answer:

\(4\) bags of marbles

Problem 2

(These are drawing tasks, so we'll describe the steps for drawing)