All categories

3 years ago

Exercise #4: Each of the following fractions can be converted to a whole number using division.

Mathematics

1 answer:

solong [7]3 years ago

6 0

A) 6 because 12 divided by 2 is 6

B) 9 because 45 divided by 5 is 9

C) 23 because 207 divided by 9 is 23

You might be interested in

Muke is sick with the flu but he still cors to school on monday. He areives at 8am and by 9am (hour 1) muke has already infected

Volgvan

Answer:

$\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}$

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): Complete the table

Let

$x = hours$

$y = persons$

From the table question, we have:

$(x_1,y_1) = (0,1)$

$(x_2,y_2) = (1,2)$

$(x_3,y_3) = (2,4)$

The pattern follows that, an increment in x by doubles the value of 1.

So, the other values are:

$(x_4,y_4) = (3,8)$

$(x_5,y_5) = (4,16)$

$(x_6,y_6) = (5,32)$

$(x_7,y_7) = (6,64)$

$(x_8,y_8) = (7,128)$

So, the complete table is:

$\begin{array}{ccccccccc}{Hours} & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} \ \\ {Persons} & {1} & {2} & {4} & {8} & {16}& {32} & {64} & {128} \ \end{array}$

Solving (b): The graph

The table follows an exponential function:

$y = ab^x$

We have: $(x_1,y_1) = (0,1)$

This gives:

$y = ab^x$

$1 = ab^0$

$b^0 \to 1$

So:

$1 = a*1$

$1 = a$

$a =1$

Also: $(x_5,y_5) = (4,16)$

This gives:

$y = ab^x$

$16 = 1 * b^4$

$16 = b^4$

$16 \to 2^4$

So:

$2^4 = b^4$

Cancel the exponents (4)

$2 =b$

$b = 2$

So, the function $y = ab^x$ is:

$y = 2^x$

<em>See attachment 2 for graph</em>

6 0

3 years ago

What is the common difference is this sequence: 5,17,29,41,53?

Zina [86]

Answer:

Step-by-step explanation:

To find the common difference, we take the 2nd term and subtract the first term

17-5 =12

We check it with the 3rd term minus the second term

29-17 = 12

The common difference is 12

We add 12 each time

5 0

4 years ago

X²-7x+14 what is the answer?

Furkat [3]

Answer: X intercepts none Y intercepts (0,14)

Step-by-step explanation:

6 0

3 years ago

What is 9/8 in simplest from

Alchen [17]

9/8 is in the simplest form

3 0

4 years ago

Is the LCM ( least common multiple) of two numbers ( always,sometimes,never) the product of the two numbers?

Scorpion4ik [409]

In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. SOOO, no there can be a lower number then both multiplied by each other.

7 0

4 years ago