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Fed [463]
4 years ago
11

What is the reason for each step in the solution of an equation? 4x-1= -2 (x+1)

Mathematics
1 answer:
Ivanshal [37]4 years ago
4 0

to get the variable by itself

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Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he
FinnZ [79.3K]

Table is attached below

From the table we can see that the Lemon cost is equal to 35% of the expenses

Let the expense be x, Lemons cost is 70

Lemon cost = 35% * x

70 = 35% * x ( 35% = \frac{35}{100} = 0.35)

70 = 0.35 * x

x = \frac{70}{0.35}

x= 200, Expense = $200

Given : Profit percentage is 15%= \frac{15}{100} = 0.15

Profit = profit percentage * Expense

Profit = 0.15 * 200 = 30

So profit = $30


5 0
3 years ago
Read 2 more answers
I need help! It didn’t explain this in the study guide!!!
attashe74 [19]

all you need to do is subtract. 133-87 which is 46 so <AKD is 46deg

6 0
3 years ago
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An insurance company insures red and green cars. An actuary compiles the following data: Color of car Red Green Number insured 3
julsineya [31]

Answer:

2.7%

Step-by-step explanation:

Since the probability of having and accident or exceed the deductible does not depend on the color of the car, the events are independent.

Recall that if two events A and B with probabilities P(A), P(B) of occurrence are independent, then

P(A ∩ B) = P(A)P(B)

There is a 300/1000 = 0.3 probability of choosing a random car. So, if the actuary randomly picks a claim from all claims that exceed the deductible,the probability that the claim is on a red car is

0.3*0.10*0.9 = 0.027 or 2.7%

3 0
3 years ago
Simplify with steps.
gogolik [260]

1. (x−1)(5x+8)−2x+5

=(x)(5x)+(x)(8)+(−1)(5x)+(−1)(8)+−2x+5

=5x2+8x+−5x+−8+−2x+5

Combine Like Terms:

=5x2+8x+−5x+−8+−2x+5

=(5x2)+(8x+−5x+−2x)+(−8+5)

=5x2 + x + −3

2. (−2+5)(3x+9)

=9x+27

3. 2x+5−8x+12

=2x+5+−8x+12

Combine Like Terms:

=2x+5+−8x+12

=(2x+−8x)+(5+12)

=−6x+17

4. (−x+3)(−5x−2)

=(−x+3)(−5x+−2)

=(−x)(−5x)+(−x)(−2)+(3)(−5x)+(3)(−2)

=5x2+2x−15x−6

=5x2 − 13x − 6

4 0
3 years ago
If the Greatest Common Factor of L and M is 6, write the expression for the Least Common Multiple of these numbers.
Serga [27]

Answer:

\frac{(L x M)}{6}

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.

The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.

We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.

As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.

We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

\frac{(L x M)}{6}

3 0
3 years ago
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