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2 years ago

Which fraction expresses 36/80 in lowest terms. A- 9/20 B-18/40 C-4/5 D- 18/20

Mathematics

2 answers:

gladu [14]2 years ago

6 0

B) is the correct answer.

PtichkaEL [24]2 years ago

6 0

Hi there!

To get a fraction in lowest terms you would have to reduce or simplify it. Find the GCD and divide the numerator and denominator by the number. So the GCD is 4 So 36/4 and 804= 9/20

9/20

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UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

Over [174]

Answer:

It's 20 Pounds btw.

Step-by-step explanation:

7+0.20x = 5+ 0.30x

x- number of additional pounds

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2 years ago

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What is 48,100,000,000,000 in scientific notation? 4.81×10−11 4.81×10−13 4.81×1011 4.81×1013

SSSSS [86.1K]

Given number is 4,8100,000,000,000.

In this number of zero is 11. So we can write it as $481 * 10^{11}$

But for scientific notation we will enter decimal after two place in reverse direction.For this we will also multiply number by 10^2.

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So fourth option is correct.

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2 years ago

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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.

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

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.

Now, if the annual rate is 6% continuously compounded.

First, we need to calculate the effective interest rate:

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

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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.

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2 years ago

X + 78 = 90 can someone solve this for me please?

kondaur [170]

Let's solve your equation step-by-step.

x+78=90

Step 1: Subtract 78 from both sides.

x+78−78=90−78

x=12

Please put brainliest!

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2 years ago

Y=-2/3x+3 please show the work thank you ;)

Ivahew [28]

Answer:

Step-by-step explanation:

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Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

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Also, because the slope is -2%2F3, this means:

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So starting at , go down 2 units

and to the right 3 units to get to the next point

Now draw a line through these points to graph y=-%282%2F3%29x%2B3

So this is the graph of y=-%282%2F3%29x%2B3 through the points and

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2 years ago