All categories

3 years ago

Relate-to-a-Simpler-Problem

Mathematics

1 answer:

Alex73 [517]3 years ago

7 0

Answer:

1. 128 pages.

2. (y - x) + 1

3. 6 pages.

4. Helps to formulate the expression for the number of pages read.

Step-by-step explanation:

1. George will read pages 385 through 512 in his karate history book. And we are asked to find the number of pages that he will read.

The required number of pages that George read will be = (512 - 385) + 1 = 128 pages.

2. If he read from page number x through page number y then the general rule of finding the number pages that he read will be = (y - x) + 1

3. If x = 500 and y = 505, then the number of pages read is = (505 - 500) + 1 = 6 pages.

Again, if x = 5 and y = 29, then again the number of pages read is = (29 - 5) + 1 = 25 pages.

4. The rule just formulates the expression for the number of pages read and it eases the calculation for the number of pages read. (Answer)

You might be interested in

Find the area of a circle with radius 7cm

uysha [10]

<span>153.94 is the answer. </span>

4 0

3 years ago

Read 2 more answers

Does anybody know this answer?

creativ13 [48]

Answer:

circumference=2πr

=2×3.14×8.5

=53.38cm

7 0

2 years ago

Read 2 more answers

What are the roots of the polynomial equation? x²-26x+48=0 options: (-24,-2) (24,2) (16,3)

cluponka [151]

Your answer is B.(24,2)

4 0

3 years ago

the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sid

Zigmanuir [339]

The length of the other two sides is 10 and 35 respectively.

<h3>What is a ratio?</h3>

A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.

From the given information:

The sides of the triangle = 2:7:8
The total sides of the triangle = 2+7+8 = 17

We are being told that the longest side is the triangle is equal to 40.

i.e.

$\mathbf{\to\dfrac{8}{17}\times x = 40}$

$\mathbf{x = 40 \div \dfrac{8}{17}}$

$\mathbf{x = 40 \times \dfrac{17}{8}}$

x = 85

Now for the other two sides 2 and 7, their length is as follows.

$\mathbf{\dfrac{2}{17}\times 85 = 10}$

$\mathbf{\dfrac{7}{17}\times 85 = 35}$

Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.

Learn more about ratios here:

brainly.com/question/2328454

3 0

2 years ago

119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun

sveta [45]

Answer:

Beatrice will accumulate $1230.72 at the end of the year.

Step-by-step explanation:

We can write:

$(1+\frac{0.055}{12})=z$

$100=C$ for deposits

The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

A geometric series is given by:

$1+x+...+x^{m}=\frac{x^{m+1}-1}{x-1}$

Translating our series to the short form:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

plugin in the values for the 12 month gives:

$S_{12}=100(\frac{(1+\frac{0.055}{12})^{12} -1}{\frac{0.055}{12}})=1230.7169$

3 0

3 years ago