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Taya2010 [7]
3 years ago
9

Suppose Carson worked as a babysitter for '8' hours one week. What is the minimum number of full hours he would need to work at

his fathers business to earn at least $96 that week?
Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
5 0
8 hours 15 minutes that week
liubo4ka [24]3 years ago
4 0

Answer:

The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes  

Step-by-step explanation:

Given as :

The total number of hours did Carson spent as baby sitting on one week = 5 hours

The rate at which he earn for baby sitting = $6 per hours

The rate at which he earn as job = $8 per hours

The total amount he will earn that week = $96

Let The minimum number of full hour he need to work = h

Now, According to question

The total amount he will earn that week = total number of hours did Carson spent as baby sitting on one week ×The rate at which he earn for baby sitting  + The rate at which he earn as job × The minimum number of full hour he need to work

I.e $96 = $6 × 5 + $8 × h

Or, $96 = $30 + $8 × h

Or, 8 × h = 96 - 30

Or, 8 × h = 66

∴  h =  

i.e h = 8.25 hours

So, The number of hours = h = 8 hours and 15 minutes

Hence,The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes  .

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Help me please and thank you
Scorpion4ik [409]

Answer:

x = 20

y = 10

m∡8 = 110°

Step-by-step explanation:

m∡1 + m∡2 = 180

5x + y + 3x + y = 180

8x + 2y = 180

m∡1 = m∡8    (they are alternate-exterior angles and are congruent)

5x + y = 3x + 5y

2x = 4y

x = 2y

Substitute '2y' for 'x' in 8x + 2y = 180

8(2y) + 2y = 180

18y = 180

y = 10

x = 2(10)

x = 20

m∡8 = 3(20) + 5(10) = 110°

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