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3 years ago

Which statement about the product is true? 4.56zx 4.5 repeating

Mathematics

2 answers:

AnnyKZ [126]3 years ago

7 0

Answer
product is rational
cause
4.5 (5repeat) = 41/9

so

41/9 x 456/100 = rational

Leni [432]3 years ago

3 0

Answer:

The answer is rational.

Step-by-step explanation:

Given expression is :

$4.56\times4.5$ (5 repeating)

Lets convert this in fraction form.

Suppose x = 4.555....

Multiplying by 10 on both sides;

$10x=45.555$

Subtracting x from 10x

$9x=45.555-4.555=41$

We get

x=41/9

Now multiplying 45.6 or 456/100(fraction form) and 41/9, we get 18696/900

This is rational.

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Elisa has 10 gold colored coins and 6 silver colored coins. She selects 2 coins with replacement. What is the probability she se

amm1812

Answer: $\frac{9}{64}$

Step-by-step explanation:

n(gold colored coins) = 10

n(silver colored coins) = 6

Total number of coins = 16

since there is replacement , the probability she selects 2 silver colored coins will be :

$\frac{6}{16}$ x $\frac{6}{16}$

= $\frac{3}{8}$ x $\frac{3}{8}$

= $\frac{9}{64}$

Therefore : the probability she selects 2 silver colored coins is $\frac{9}{64}$

3 0

4 years ago

Read 2 more answers

Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27

Evgen [1.6K]

PART A:
To obtain an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days, we use the fomula for the equation of a straight line.

Recall that the equation of a straight line passing through points $(x_1,\ y_1)$ and points $(x_2,\ y_2)$ is given by
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Given that Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.
This means that the lne modelling this situation crosses points (2, 125) and (5, 275).

The equation modelling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by,
$\frac{y-125}{x-2} = \frac{275-125}{5-2} = \frac{150}{3} =50 \\ \\ y-125=50(x-2)=50x-100 \\ \\ y=50x+25$

Writing the equation in standard form, we have
50x - y = -25

PART B:
Writing the function using function notation means making 'y' the subject of the formula and then replacing the 'y' with 'f(x)'.

Recall that from part A, we have that the equation for the total rent (y) that Marguerite has to pay for renting the truck for x days is given by y = 50x + 25.

Writing the equation using the function notation, we have
f(x) = 50x + 25

PART C:
To graph the function, we label the x-axis 'number of days' and label the y-axis 'total rent'. the x-axis is numbered using the intervals of 1 while the y-axis is labelled using the intervals of 50.
The points (2, 125) and (5, 275) are marked on the coordinate axis and a straight line is drawn to pass through the two points.

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