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lora16 [44]
3 years ago
14

Solve the following inequality for y. 18x + 6y > 12

Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

12

Step-by-step explanation:

Simplifying

18x + -6y = 12

Solving

18x + -6y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6y' to each side of the equation.

18x + -6y + 6y = 12 + 6y

Combine like terms: -6y + 6y = 0

18x + 0 = 12 + 6y

18x = 12 + 6y

Divide each side by '18'.

x = 0.6666666667 + 0.3333333333y

Simplifying

x = 0.6666666667 + 0.3333333333y

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Laila has to pay $75 regardless of how many shirts she gets but has to pay an additional $8 per shirt. So when you set up your equation you are going to set it equal to c (the total cost). So c=75+8x. The reason there is a variable after 8 is because we aren’t sure how many shirts she’s buying yet.
8 0
3 years ago
NEED HELP ASAP
dolphi86 [110]

Answer:

linear

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4 0
3 years ago
find the equation of a straight line passing through the point(4,5) and equally inclined to the lines 3x = 4y +7 and 5y= 12x +6
galina1969 [7]
<span>First we have to determine the slope of each lines by transforming to the slope-intercept form:

y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5

The formula to be used in the proceeding steps is    a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting,      a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5)     =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope 

y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9</span>
3 0
3 years ago
Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000
AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

<u>First, we determine the value of the 5 installments using a 5% annual compounded rate.</u>

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

<u>Now, if the annual rate is 6% continuously compounded.</u>

<u>First, we need to calculate the effective interest rate:</u>

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0
3 years ago
Since there are 6.6 laps in a mile, how many laps will you have to make to run 5 miles?
mezya [45]

Answer:

33 laps

Step-by-step explanation:

we know that

There are 6.6 laps in a mile

so

using proportion

Find how many laps will you have to make to run 5 miles

so

Let

x ----> the number of laps

\frac{6.6}{1}\frac{laps}{mile}=\frac{x}{5}\frac{laps}{mile} \\ \\x=6.6*5\\ \\ x=33\ laps

4 0
2 years ago
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