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3 years ago

The area of the postcard is 24 square inches. What is the width b of the message (in inches)?

Mathematics

1 answer:

MAXImum [283]3 years ago

4 0

Area of rectangular post card = length x width
For the given post card:
length = 4 in
width = (3+b) in
area = 24 in^2

So, substituting in the equation of the area:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch

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Daniels print shop purchased a new printer for $35,000. Each year it depreciates at rate of 5%. How much will the printer be wor

Savatey [412]

Ab^x
a: initial value
b: value remaining after depreciation per year (in percentage)
x: number of years that have passed

35000(0.95)^8= 23219.7151

Round to the nearest hundredth value:
About $23219.72

Let me know if you have any questions :)

7 0

3 years ago

Susan is buying three different colors of tiles for her kitchen floor. She is buying 25 more red tiles than beige tiles, and thr

Vanyuwa [196]

Let us assume that the number of beige tiles bought by Susan = B
Number of red tiles bought by Susan = R
Number of navy-blue tiles bought by Susan =N
Number of tiles bought altogether = 435
Now from the given question we know:
Number of red tiles bought is 25 more than the number of beige tiles.
So
R = 25 + B
Number of navy blue tiles bought is 3 times that of the number of beige tile bought
So
N = 3B
We already know that the total number of tiles bought is 435
Hence
B + R + N = 435
B + (25 + B) + 3B = 435
5B + 25 = 435
5B = 435 -25
5B = 410
B = 82
R = 25 + B
   = 25 + 82
   = 107
N = 3B
   = 3 * 82
   = 246
So the number of Beige tiles bought by Susan = 82
The number of red tiles bought by Susan = 107
The number of navy-blue tiles bought by Susan = 246

5 0

3 years ago

What is the value of i 97 – i? –i 0 –2i i Superscript 96

Valentin [98]

The question is not clearly readable, but I'm assuming the expression which makes more sense, so you can have a clue

Answer:

$i^{97}-i=0$

Step-by-step explanation:

Powers of The Imaginary Unit

The imaginary unit i is defined as

$i=\sqrt{-1}$

The first powers of i are

$i^0=1$

$i^1=i$

$i^2=(\sqrt{-1})^2=-1$

$i^3=i.i^2=-i$

$i^4=i^2.i^2=1$

And so on the cycle repeats every four numbers. To find the value of $i^{96}$ we can find the remainder of 96/4=0. So $i^{96}=i^0=1$

The given expression is

$i^{97}-i$

Factoring

$i(i^{96}-1)$

Since $i^{96}=1$

$=i(1-1)=0$

The required value is 0

6 0

3 years ago

Read 2 more answers

Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?

egoroff_w [7]

1/12

This is because she has a 1/6 chance of getting a 3 on the first try and then a 1/2 chance of getting an even on the second. Multiply these two together to get your answer.

7 0

3 years ago

Using the results from parts D through G, write an expression that represents the number of years elapsed between the disappeara

nlexa [21]

The mathematical expression to represent the number of years elapsed since the disappearance of Helike until the end of the American Civil War is:

T (years from Helike's disappearance to the end of the Civil War) = w + 373

To reach this conclusion we had to search for additional information and found that the year of the disappearance of the Greek city of Helike is -⅕ times the year the American Civil War ended.

Helike's disappearance year = (-w / 5)

According to the previous expression, the year of Helike's disappearance is:

Helike's disappearance year = (-1865/5) = -373

According to the previous data, it can be inferred that the expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War is:

T = w + 373
T = 1865 + 373
T = 2238

Note: This question is incomplete because the is some information missing. However, I can answer it based on my prior knowledge.

Learn more about Civil War in: brainly.com/question/14234520

3 0

3 years ago