1) A company sells boxes of cow bells (b) for $20 and boxes of air horns (h) for $30.

They can make a batch of cow bells that fills 8 boxes or a batch of air horns that fills 9 boxes.

The company only has 53 boxes. Which system of equations helps the company plan to make $275?

Ab = 53 - h

8b + 9h = 53

B8b = 53 - 9h

20b + 30h = 275

Cb = 53 - h

20b + 30h = 275

D8b = 53 - 9h

20b - 30h = 275

2) Captain Stacey is going to load her sailboat with jars of honey. She has room for 11 jars. She has allotted for 58 pounds of honey on her boat. She can choose from 3-pound jars (the variable j) or 7-pound jars (the variable h). Which equations would be a constraint to Captain Stacey maximizing her honey load?

Aj - h = 11

b.j = 11 + h

c.3j = 58 + 7h

d.3j = 58 - 7h

Question

07-07-2016
Mathematics

Answered

1) A company sells boxes of cow bells (b) for $20 and boxes of air horns (h) for $30.

They can make a batch of cow bells that fills 8 boxes or a batch of air horns that fills 9 boxes.

The company only has 53 boxes. Which system of equations helps the company plan to make $275?

Ab = 53 - h

8b + 9h = 53

B8b = 53 - 9h

20b + 30h = 275

Cb = 53 - h

20b + 30h = 275

D8b = 53 - 9h

20b - 30h = 275

2) Captain Stacey is going to load her sailboat with jars of honey. She has room for 11 jars. She has allotted for 58 pounds of honey on her boat. She can choose from 3-pound jars (the variable j) or 7-pound jars (the variable h). Which equations would be a constraint to Captain Stacey maximizing her honey load?

Aj - h = 11

b.j = 11 + h

c.3j = 58 + 7h

d.3j = 58 - 7h

Verified Answer :

Related Questions

By the 20th century Japan had already begun its political and economic expansion into East Asia In 1910 Japan annexed what country A China B Korea C Russia D Vi

What is the function of white blood cells in the antigenantibody response A report to infection site and ignore invaders but clean up damaged cells B report to

Divide x22x1 x2 x21 x24

What to do when you have low blood pressure

a 12 foot basket ball hoop has a shadow of 96 feet long how long is a shadow of a 6ft human standing next to it

How have humans contributed to desertification in Southeast Asia Desertification the process of turning more areas into desert

What percent of 64 is 40

You cant make a great peanut butter sandwich without Smuckers jelly This advertisement targets your A fears B rituals C emotions D social values

Select all that apply Plant and animal cells both have a cell wall a cell membrane a large central vacuole endoplasmic reticulum cytoplasm chloroplasts ribosome

Which word does not suggest use of the mind A improvise B ostentation C speculate D visionary D

Anonymous Anonymous · Answer 1 · 2016-07-12T10:46:46-04:00

1.) The answer for this one is B. 8b = 53 - 9h and 20b + 30h = 275.
The first condition stated that the company only has 53 boxes available which can only have 8 boxes of cowbells and 9 boxes of air horns. The equation is 8b+9h = 53. By subtracting the two sides of the equation with 9h it will be equal to 8b= 53-9h. The second condition is that the price of the cow bells (b) is $20 and the price of the air horns (h) 30$ and a plan to make $275 is described by the equation: 20b + 30h =275.

2.) The first constraint is j+h=11 which is not in the choices. This is the equation in relation to the number of jars Captain Stacey should only have. The second constraint is in relation to the pounds honey she should have. To maximize her honey load, the equation should be: 3j + 7h= 58 which is equal to 3j = 58- 7h via the subtraction property of equations. The answer is letter D.