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Lina20 [59]
2 years ago
9

1/6(49/9-14/3)+27/73/5×33​

Mathematics
1 answer:
katen-ka-za [31]2 years ago
3 0

Answer:

61.15702689

Step-by-step explanation:

= 1 / 6 (49/9-14/3) + 27 / 73 / 5 × 33​

= 1/6 x 7/9 + 61.02739726

= 61.15702689 = 61.16 (2 d.p.)

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A 5000 seat theater has tickets at $27 and $40. How many tickets should be sold at each price for a sellout performance to gener
Natali [406]
Let
x =  the number of tickets sold at $27 each
y =  the number of tickets sold at $40 each

Because 5000 tickets were sold, therefore
x + y = 5000              (1)

Because the revenue generated was $158,400, therefore
27x + 40y = 158400      (2)

From (1),
y = 5000 - x          (3)

Substitute (3) into (2).
27x + 40(5000 - x) = 158400
-13x + 200000 = 158400
-13x = -41600
x = 3200
y = 5000 - x = 5000 - 3200 = 1800

Answer:
3200 tickets at $27 each, and
1800 tickets at $40 each

6 0
3 years ago
Edward plans to put $75 into a savings account. He can place his money into an account represented by b(x) = 7x + 75, or into an
jasenka [17]
In 2 years :
b(x) = 7x + 75....b(2) = 7(2) + 75.....b(2) = 14 + 75....b(2) = 89
c(x) = 75(1.06)(2)...c(x) = 79.5 * 2 ....c(x) = 159

in 12 years :
b(x) = 7x + 75...b(12) = 7(12) + 75....b(12) = 84 + 75....b(12) = 159
c(x) = 75(1.06)(12)....c(12) = 79.5 * 12....c(12) = 954

c(x) has the highest value in both 2 and 12 years


8 0
3 years ago
Read 2 more answers
Deductions the week: federal tax $52.02, FICA 43.02 state 5.35 find the annual federal tax deduction
svlad2 [7]

Answer:

The annual federal tax deduction is $2705.04 .

Step-by-step explanation:

As given

Federal tax = $52.02

As there are 52 weeks in one years .

Thus

Annual federal deduction =  Federal tax  × Total number of weeks

Put all the values in the above

                                          = 52.02 × 52

                                          = $2705.04

Therefore the annual federal tax deduction is $2705.04 .

3 0
3 years ago
-1/2(-2x+4y) expand to write an equivalent expression and show work
Vesna [10]

Answer:

x-2y

Step-by-step explanation:

expand by multiplying each part of the paranthesis by -1/2

x-2y is the expanded expression

4 0
3 years ago
Read 2 more answers
A rectangular room measures 15 feet by 20 feet. The ceiling is 9 feet high. What is the total area of the four walls? (to the ne
frozen [14]

Answer:

Answer:

825 feet of area of the wall  required to be  painted.

Explanation:

Given:

Length of the room = 15 feet

Width of the room =12 feet

Height of the room = 9-foot

Size of the door= 3 feet x 7 feet

To find:

The area of the walls that requirespainted=?

Solution:

We know that,  

Area of walls that need paint = total surface area of room – area of door that doesn’t need paint…………(1)

Finding the Total area of the room:

room is cuboidal shape,  

Then, its total surface area = 2(lb + bh + hl)

Where

h is height,  

l is length,

b is width  

Substituting the values,

Total surface area = 2(15 x 12 + 12 5 9 + 9 x 15)  

Total surface area = 2(180+108+135)

Total surface area = 2( 423)

Total surface area =  = 846 feet…………..(2)  

Finding the area of the door:

Area of door = area of rectangle = length x width

Substituting the values,

area of door= 3 x 7 = 21 feet……………(3)

Substituting (2) and (3) in (1)

Area that  is require paint = 846 – 21 = 825 feet

3 0
3 years ago
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