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jek_recluse [69]
2 years ago
6

Solve the equation for 3x-y = -3

Mathematics
1 answer:
S_A_V [24]2 years ago
8 0

Answer:

sln

3x-y=-3

3x-y=-3(make subject x)

3x=-3+y(divided by 3 both sides)

x=(-3+y) /3,x=-1+y /3

find y

3x-y=-3

-y=-3-3x(put the value of x)

-y=-3-3(-1+y/3)

-y=-6(-1+y/3)

-y=6+y/3

-y-y/3 =-3

-4y/3=-3(X by 3 both sides)

--4y=-6(divided by - 4 both sides)

y=1.5

find x

3x-y= -3 (put the value of y)

3x-1.5= -3

3x=-3+1.5

3x=-1.5(divided by 3 both sides)

x=-0. 5

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An insurance agent receives 16% commission on every premium paid. How much commission is paid on a policy with a premium of $497
ollegr [7]

Here we are given the information that an insurance agent receives 16% commission on every premium paid.

Now we are given that a premium of $497.69 is paid.

Let us say $x is the commission paid on the policy with a premium of $497.69.

Let us try to find the amount x here.

So we have to find 16% of 497.69 to get the commission amount x.

So finding 16% of 497.69.

x= 16% of 497.69 = 0.16*497.69 = 79.63

Answer: Commission of $79.63 is paid on a policy with a premium of $497.69.

7 0
3 years ago
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If you have 2 kids and 2 left how many you got
KonstantinChe [14]

Answer:

0 kids

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If two kids left out of two kids originally, this calls for a subtraction problem.

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5 0
2 years ago
Rufus appears before Bill and Ted and offers them a bogus proposition: they must paint a house together with their magical guita
jolli1 [7]

Answer:

6.79

Step-by-step explanation:

-Let X denote the total amount of the job.

-The job has to be done in 5 hrs, therefore the portion done every hour is:

Rate=\frac{Total}{Time}\\\\=\frac{X}{5}\\\\=\frac{1}{5}X=0.2X

Therefore, the rate of Bill and Ted working jointly must equal the rate calculated above:

R_{Bill}=\frac{X}{19}\\\\=\frac{1}{19}X\\\\R_{Bill}+R_{Ted}=R_{required}\\\\\frac{1}{19}X+R_{Ted}=\frac{1}{5}X\\\\R_{Ted}=\frac{1}{5}X-\frac{1}{19}X\\\\=\frac{14}{95}X\\\\\therefore \frac{14}{95}X=1\ hr\\\\X=1\div \frac{14}{95}\\\\=6.7857\approx 6.79hrs

Hence, Bill working alone should complete the house in 6.79 hrs

6 0
3 years ago
A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,
slavikrds [6]

Answer:

Step-by-step explanation:

As stated in the question, the probability to toss a coin and turn up heads in the first try is \frac{1}{2}, in the second is \frac{1}{4}, in the third is \frac{1}{8} and so on. Then, P(C) is given by the next sum:

P(C)=\sum^{\infty}_{n=1}(\frac{1}{2} )^{n}=1

This is a geometric series with factor \frac{1}{2}. Then is convergent to \frac{1}{1-\frac{1}{2}}-1=1.. With this we have proved that P(C)=1.

Now, observe that

P(H)=\frac{1}{2}, P(TH)=\frac{1}{4},P(TTH)=\frac{1}{8},P(TTTH)=\frac{1}{16},P(TTTTH)=\frac{1}{32},P(TTTTTH)=\frac{1}{64}.

Then

P(C1)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} =\frac{31}{32}

P(C2)=P(TTTTH)+P(TTTTTH)=\frac{1}{32}+\frac{1}{64} =\frac{3}{64}

P(C1\cap C2)=P(TTTTH)=\frac{1}{32}

and

P(C1\cup C2)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)+P(TTTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} +\frac{1}{64}=\frac{63}{64}

5 0
3 years ago
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