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3 years ago

Can someone explain to me how to solve this equation15x +-6 = 8

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

8 0

Answer:

x=0.933333

Step-by-step explanation:

First you add 6 to both sides of the equation

15x - 6 + 6 = 8 +6

That gives you 15x = 14

Then you divide 15 on both sides of the equation

That gives you x = 14/15 = 0.93333

4vir4ik [10]3 years ago

8 0

You would start by adding six on both sides, which cancels out the negative 6 and then makes the 8 a 14.

15x = 14

Then you would divide each side by 15 which cancels out the 15 on the left leaving you with x on the left and 14/15 on the right.

X = 14/15 < Fraction

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The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

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so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

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3 years ago

(a) Suppose you have 9 gold coins that look identical, but you also know one (and only one) of them is counterfeit. The counterf

alisha [4.7K]

Answer:

Step-by-step explanation:

You can split the coins into 3 groups, each of them has 3 coins. Weigh group 1 vs group 2, if one is lighter, that group has the fake coin. If both groups weigh the same, then group 3 has the fake coin.

Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

Total of scale usage is 2

b) if you have $3^n$ coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

Step 1: you narrow down to group of $\frac{3^n}{3} = 3^{n-1}$ coins

Step 2: you narrow down to group of $\frac{3^{n-1}}{3} = 3^{n-2}$ coins

Step 3: you narrow down to group of $\frac{3^{n-2}}{3} = 3^{n-3}$ coins

...

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3 years ago

Bill Mason is considering two job offers. Job 1 pays a salary of $41,300 with $5,525 of nontaxable employee benefits. Job 2 pays

kupik [55]

Answer:

To Calculate the monetary value of both jobs, you would have to calculate the percent tax rate of each salary and add the nontaxable benefit after taxes.

Step-by-step explanation:

Reminder: since the 25% is a tax rate which we need to subtract from the salary, 75% would be what is left over from the salary after taxes.

Job 1: Job 1 pays a salary of $41,000 and $5,525 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

$(41,000 * 0.75) + 5,525 = 36,275$

So the monetary value of Job 1 would be $36,275

Job 2: Job 2 pays a salary of $40,400 and $7,125 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

$(40,400*0.75) + 7,125 = 37,425$