1. a company has $5826 to give out in bonuses. an amount is to be given out equally to each of the 29 employees.
(a) a manager, jake, reasoned that since 29 goes into 58 twice, each employee will get about $2000. is his estimate correct? why or why not?
(b) how much will each employee receive, rounded to the nearest whole dollar? show your work.
2. you are making necklaces for your friends. you have 84 blue beads and 36 red beads. each friend will receive an identical necklace, and all beads must be used.
(a) what is the greatest number of friends who can receive a necklace? explain your reasoning.
(b) how many of each color bead will each friend receive on the necklace? explain your reasoning.
3. at a local restaurant, the health inspector visits every 6 days, and the fire inspector visits every 8 days.
(a) make a table for the next 5 visits for each inspector.
(b) in how many days will both inspectors visit on the same day? show your work.
twt it's due toda

Q1a) Incorrect. Approx $200

Q1b) $201

Q2a) 12 friends

Q2b) 7 blue beads and 3 red beads

Q3a) answered below

Q3b) after 24 days

Step-by-step explanation:

Q1a) Total amount of bonus: $5826

Total number of employees: 29

58/29 = 2

5826/29 = 200 approx

The estimate of $2000 is incorrect.

After dividing 58 by 29 is equal to 2 and 26 is left over so we multiply 2 by 100 since there are 2 digits.

Q1b) 5826/29 = 200.89 rounded off to $201.

Therefore, each employee will receive $201.

Q2)

84 + 36 = 120 total beads.

Find the ratio of blue beads to red beads.

84/26 = 7/3

7+3 = 10

Each necklace needs to have equal beads. There are total 120 beads and each necklace will have 10 beads so total 12 (120/10) necklaces will be made. 12 friends will receive a necklace.

Q2b) 84 blue beads and 36 red beads

84/36 = 7/3

Each friend will receive 7 blue beads and 3 red beads on their necklace.

Q3a) Health Inspector : HI

        Fire Inspector      : FI

Day 1: HI visit 1 and FI visit 1

Day 6: HI visit 2

Day 8: FI visit 2

Day 12: HI visit 3

Day 16: FI visit 3

Day 18: HI visit 4

Day 24: HI visit 5 and FI visit 4

Day 30: HI visit 6

Day 32: FI visit 5

Q3b) Both inspectors will visit on the same day after 24 days since 24 is the first number that is common in the table of 6 and 8. (6x4=24 and 8x3=24) This can be seen in the table in question 3a as well.

!!

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.