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Arisa [49]
3 years ago
13

Solve for the value of b

Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0

Answer:

18

Step-by-step explanation:

7b-2+3b+2=180

10b=180

b=18

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Please help, the subject is math
Sonja [21]

Answer: D

Step-by-step explanation:

6 0
3 years ago
The supreme shipping company can load trucks with both rectangular and cylindrical containers. A rectangular container has a vol
soldi70 [24.7K]

the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Let x be the number of rectangular containers and y the number of cylindrical containers.

Since a rectangular container has a volume of 100 ft ³and weighs 200 pounds and a cylindrical container has a volume of 200 ft.³ and weighs 100 pounds, and each truck has room for at most 4200 ft.³ of containers and can carry a maximum of 4800 pounds,

We have that the maximum volume of the truck V = 100x + 200y.

Also, the maximum weight of the truck is W = 200x + 100y

Since V = 4200 ft.³  and W = 4800 pounds,

100x + 200y = 4200 and 200x + 100y = 4800

x + 2y = 42 (1) and 2x + y = 48 (2)

Multiplying (1) by 2 and (2) by 1, we have

2x + 4y = 84 (3) and 2x + y = 48 (4)

Subtracting (4) from (3), we have

2x + 4y = 84

-

2x + y = 48

3y = 36

y = 36/3

y = 12

Substituting y into (1), we have

x + 2y = 42

x + 2(12) = 42

x + 24 = 42

x = 42 - 24

x = 18

Also, since the shipping company charges $60 for a rectangular container and $55 for a cylindrical container, the income, P = 60x + 55y

Since x = 18 and y = 12, the maximum income is P = 60x + 55y

= 60(18) + 55(12)  

= 1080 + 660

= $1740

So, the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Learn more about maximum income here:

brainly.com/question/24559594

3 0
3 years ago
Find the value of x and simplify completely.
jok3333 [9.3K]

Answer:

<h2>x=9√10</h2>

Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.

To find: 'x' the larger leg of triangle

Solution,

Using let rule for similarity in right triangle:

\frac{leg}{part}  =  \frac{hypotenuse}{leg}  \\ or \:  \frac{x}{27}  =  \frac{3 + 27}{x}  \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \:  {x}^{2}  = 810 \\ or \:  {x}^{2}  = 81 \times 10 \\ or \:  {x}  =  \sqrt{81 \times 10}  \\ or \: x =  \sqrt{81}  \times  \sqrt{10}  \\ or \: x =  \sqrt{ {(9)}^{2} }  \times  \sqrt{10}  \\  \: x = 9 \sqrt{10}

Hope this helps...

Good luck on your assignment..

7 0
3 years ago
If the original quantity is 10 and the new quantity is 11, what is the percent crease?
LenKa [72]

Answer:

10 %

Step-by-step explanation:

We first find change in the quantities

Then we write the change in quantity on original quantity and multiply by 100%

This implies that,

\frac{11 - 10}{10} \times 100\%

=\frac{1}{10}\times100\%

=10\%

Therefore the percentage increase is 10%

8 0
3 years ago
Which point is located at (2, 6)? On a coordinate plane, point A is 6 units to the right and 2 units up. Point B is 6 units to t
kow [346]
Point C

Ignore - babbucebuc
6 0
3 years ago
Read 2 more answers
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