A company manufactures three types of cabinets, type A, type B, and type C. Last week, the number of type B cabinets produced was 30 more than 1/2 the number of type A cabinets produced. If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was _ the total number of cabinets produced last week was _

Type A cabinets generated was 10

Type B and type C cabinets generated were 35

So, the total cabinets produced is 45

Step-by-step explanation:

It is given that

B = 1 ÷ 2 A + 30

C = 3 ÷ 2A + 20

Now equate these

B = C

1 ÷ 2A + 30 = 3 ÷ 2A + 20

30 - 20 = 3 ÷ 2A - 1 ÷ 2A

10 = A

Now put the A value in any of the above equation

B = 1 ÷ 2A + 30

B = 1 ÷ 2(10) + 30

B = 5 + 30

B = 35

And,

C = 3  ÷ 2A + 20

C = 3 ÷ 2(10) + 20

C = 15 + 20

C = 35

Therefore

Type A cabinets generated was 10

Type B and type C cabinets generated were 35

the total cabinets produced is 45

99

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: