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storchak [24]
3 years ago
8

What is the result when 12a + (-8b) is subtracted from 24a + 10b

Mathematics
1 answer:
Sever21 [200]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:

 12a + 18b


Discussion:

The question asks us to calculate

24a + 10 b  -  (12a - 8b)       =>   (combine common terms)

(24a - 12a) + ( 10b + 8b)      =>   ( as - (-8b) = + 8b)

12a + 18b



Regards,  

MrB


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How to you figure out tax rate? for example, 52.25 what an 8% sales tax
lions [1.4K]
52.25 x 0.08 = 4.18
So the tax is $4.18, and the total cost is $56.43
7 0
3 years ago
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Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time.
kenny6666 [7]

Answer:

No, the on-time rate of 74% is not correct.

Solution:

As per the question:

Sample size, n = 60

The proportion of the population, P' = 74% = 0.74

q' = 1 - 0.74 = 0.26

We need to find the probability that out of 60 trains, 38 or lesser trains arrive on time.

Now,

The proportion of the given sample, p = \frac{38}{60} = 0.634

Therefore, the probability is given by:

P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]

P(p\leq 0.634) = P[z\leq -1.87188]

P(p\leq 0.634) = P[z\leq -1.87] = 0.0298

Therefore, Probability of the 38 or lesser trains out of 60 trains to be on time is 0.0298 or 2.98 %

Thus the on-time rate of 74% is incorrect.

6 0
3 years ago
Jacob is mixing salt with
77julia77 [94]

The number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, a \div b = a divided in b equal parts.

Also, we can write: a \div b = a \times \dfrac{1}{b}

(it is since a = a times 1 so a/b = 1 \times (a/b) = (1/b) \times a)

The given table is:

Tablespoons of salt          Cups of water

             8                                    2

             16                                   4

             24                                   6

2 cups of water gets 8 tablespoon of salt.

Then 1 cup of water gets 8/2 = 4 tablespoons of salt. (divided the numbre of cups of water and number of tablespoons of salts in 2 equal parts).

This pattern remains same for other rows of the table, since we have:

1 cup of water gets 8/2 = 16/4 = 24/6 = 4 tablespoons of salt.

Thus, the number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

Learn more about division here:

brainly.com/question/26411682

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4 0
2 years ago
What is the value of a?
Luda [366]

Answer:

a = 62

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

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Combine like terms

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Subtract 118 from each side

a+118-118=180-118

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7 0
3 years ago
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diamong [38]
Ax^2+bx=c
REMEMBER THIS

ok
first, make sure that a is 1
done

now take 1/2 of b and square it

-18/2=-9, (-9)^2=81
add that to both sides

x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides

x=19
x=-1




answer is -1; 19

2nd choice is answer
8 0
3 years ago
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