Beatrice makes a jar of dry soup mix. The ingredients are: . 1 3/4 = 7/4 cups uncooked rice . 1/3 cup beef bouillon
. 1/2 cup dry lentils . 1/4 cup dried onion flakes
. 1 2/3 = 5/3 cups uncooked pasta . 1/2 cup dried peas

Answer the questions to find out how much soup the recipe makes.
The sum 7/4 + 1/2 + 5/3 + 1/3 + 1/4 + 1/2 gives the amount of mix.

1. Which property could you use to change the order of the addends?

2. Which property could you use to change the grouping of the addends?

3. Use these properties to rewrite the number sentence 7/4 + 1/2 + 5/3 + 1/3 + 1/4 + 1/2 in a way that makes the addition easier. Explain how your changes simplify the addition.

4. Simply your sum to find the total amount of soup mix. Show your work.

Kapil needed to buy a long wooden beam. he went to two sawmills that each charge an initial fee plus an additional fee for each meter of wood. the following equation gives the price (in dollars) of a wooden beam from the first sawmill as a function of its length (in meters). p = 5+20xp=5+20x

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

Fa bus driver leaves her first stop by 7: 00 a.m., her route will take less than 37 minutes. if she leaves after 7: 00 a.m., she estimates that the same route will take no less than 42 minutes. which inequality represents the time it takes to drive the route, r?