Which expression is equivalent to 13b+23b−56(b+1)?

Answers

Answer 1
Answer: Start by combining LIKE-TERMS. 13b AND 23 are LIKE-TERMS because they have the same variable (B) and numbers. Remember PEMDAS OR Please Excuse My Dear Aunt Sally. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There is also FOIL (First, Inside, Outside, Last). Because we will start with Parenthesis(Use the FOIL method because the 56 is part of the parentheses) first, (-56 x b[first part of the set]) = -56b  THEN (-56 x [+ {always carry the sign, this shows that it is positive}]1) = -56

Now we have 13b+23b -56b-56
                     =36b        -56b -56
                     = -20b    - 56
       This is your final equation because THESE ARE NOT LIKE-TERMS, therefore, they CANNOT be combined
Answer 2
Answer: 13b+23b-56(b+1) \n \n 36b - 56(b + 1) \ / \ simplify \n \n 36b - 56b - 56 \ / \ expand \n \n -20b - 56 \ / \ simplify \n \n

So, your answer to this problem is -20b - 56.

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There are 5280 feet in a mile. What fraction of a mile is represented by2640 feet

Answers

Answer:

264/528

132/264

66/132

33/66

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If the divisor is 40 what is the least 3 digit dividend that would give the remainder of 4

Answers

160.......................

Due to smoking, a terminally ill patient loses his lung capacity approximately 2% every 4 months. At this rate, beginning at 100% capacity, what will the patient's lung capacity be in one year?

Answers

Answer:

94% lung capacity.

Step-by-step explanation:

Find the unit rate. Divide 2 by 4 which gets 0.5.

Take 0.5 times 12 (12 months in one year)

You should get 6.

Then, 100 minus 6 (because the patient loses capacity) therefore you should get 94.

Answer:

94.1%

Step-by-step explanation:

Convert that 100% to "1."  Then:

Lung capacity as a decimal fraction) = C(x) = 1(1.00-0.02)^x, where x represents the number of 4-month periods.

After the first 4-month period, the lung cap should be 1(1.00-0.02)^1, or 0.98.

After the 2nd 4-month period, 1(0.98)^2, and

After the 3rd 4-month period, 1(0.98)^3, or 0.941

After 1 year (which is after three 4-month periods), the patient's lung cap has declined to 0.941 of its former maximum value (1), or 100%.  0.94 is equivalent to 94.1%.

Tell whether each number is a solution to the problem modeled by the following equations mystery number: five more than -8 times a number is 29. what is the number?

Answers

29-5=24
24/-8=-3
-3 is the answer. Just work the problem backwards.

A box of cashews, peanuts, and almonds contains 144 nuts. For every 2 cashews, there are 3 peanuts and 7 almonds. How many more peanuts are there than cashews?

Answers

To solve this problem, first we need to find the number of peanuts, cashews, and almonds in the bag...

Total nuts=144

The ratio of cashews to peanuts to almonds can be shown as:

cashews:peanuts:almonds
2:3:7

Now lets add up the numbers in the ratio.

2+3+7=12

So, for every 12 nuts in the bag, 2 are cashews. For every 12 nuts in the bag, 3 are peanuts. For every 12 nuts in the bag, 7 are almonds. 

Now lets divide the total number of nuts (144) by the sum of the ratio (12).

144/12=12

Now we can solve for the number of every type of nut in the bag... 

Cashews=12*2=24nuts

Peanuts=12*3=36nuts

Almonds=12*7=84nuts

Now we can answer the problem:

Peanuts-cashews=
36-24=12 nuts

Answer: There are 12 more peanuts than cashews.

4x + 3x + 5x= 156

12x= 156

x= 13

4x = 4 times 13= 52 Cashews

3x= 3 times 13= 39 Peanuts

52-32= 13

Last year 3684 people went to a music festival. The number of people who went to the festival
this year was 2/3of last year’s figure.
How many people went to the festival this year?
A 1228
B 2442
C. 2456
D. 5526

Answers

2/3 of 3,684 people = 2,456 souls

That number appears to be the same as
the one that appears in Choice-'C'.