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Alex73 [517]
3 years ago
10

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

Mathematics
2 answers:
statuscvo [17]3 years ago
8 0
13b+23b-56(b+1) \\ \\ 36b - 56(b + 1) \ / \ simplify \\ \\ 36b - 56b - 56 \ / \ expand \\ \\ -20b - 56 \ / \ simplify \\ \\

So, your answer to this problem is -20b - 56.
ale4655 [162]3 years ago
7 0
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
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Please help me with these !!! ❤️❤️ I need it thank youuu!
lisov135 [29]
For number 4, we'll need a few facts to answer our question:

- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°

Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.

Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.

We have:

x+x+24=180, or 2x+24=180

Solving for x:

(2x+24)-24=180-24\\2x=156\\(2x)/2=(156)/2\\x=78

So, x = 78°.

For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
7 0
3 years ago
In a certain state, there are currently 5,902,060 acres of farmland. This area is decreasing at a rate of 4.3% every year. Selec
Luba_88 [7]

Answer:

y=5,902,060*(.957)^t

Step-by-step explanation:

Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.

The exponential delay equation is y=A*(1-r)^t. The y is the remaining amount, A is the original amount, r is the rate in decimal form, and t is for years. "1-r" is for decreasing rates and "1+r" is for increasing rates.

First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.

Now plug the numbers into the equation.

y=5,902,060*(1-0.043)^t

Simplify what's inside the parenthesis and get your final equation.

y=5,902,060*(.957)^t

3 0
3 years ago
Because bernard has some health issues, he must pay 15% more for life insurance. about how much more annually will a $115,000 10
Sergeu [11.5K]

The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is $24.

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The insurance premium is paid as a cost to cover a possible loss that is unseen.

The annual premium rate as a percentage of the value insured a person at age 35 has to pay is 0.14%.

From the given information, we have that the amount a 35-year-old without health issues will pay per $1,000 is $1.40

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= $185.15

Therefore,

The amount more Bernard has to pay = $185.15 - $161

= $24.15 ≈ $24

Learn more about insurance premiums here:

brainly.com/question/3053945

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