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Express 0,45 as a common fraction in simplest form

Bezzdna [24]

In order to express 0.45 as a common fraction, all you have to do is first divide 45 to 100. So in order to get the answer to this, you just have to put 45 as the numerator and 100 as the denominator. This will become 45/100. To turn it into its simple form, you have to first ask yourself what is a common divisible number for the two. 5 can be divided by 45 and 100 so 5 can be used. So the final answer, if you make it into simplest form, will be 9/20

8 0

3 years ago

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Which sentence describes a way to determine the missing number in the

Llana [10]

Answer:

70910 (c)

Step-by-step explanation:

You move the decimal point to the right each time.

5 0

3 years ago

A dilation produces a smaller figure. Which is a possible scale factor? –2 One-third 1 4

Ghella [55]

Answer:

1/3 (one-third)

Step-by-step explanation:

A scale factor that produces an image smaller than the original figure is less than 1. A scale factor that produces an image bigger than the original figure is more than 1.

Thus, the only option that's less than 1 is one-third.

4 0

2 years ago

Describe the translation. y = (x-5)squared +5 - y = (x-))squared +0

vovangra [49]

In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).

The translation from $y = (x - 5)^2 +5$ to $y = (x - 0)^2 +0$ is to shift $y = (x - 5)^2 +5$ to the left by 5 units and then downward by 5 units

The given parameters are:

$y = (x - 5)^2 +5$

$y = (x - 0)^2 +0$

Assume the first point is: $y = (x - 5)^2 +5$

While the second is: $y = (x - 0)^2 +0$

The first point is first shifted left by 5 units

The rule to this translation is: $(x,y) \to (x + 5,y)$

So, we have:

$y' = (x - 5 + 5)^2 + 5$

$y' = (x - 0)^2 + 5$

Next, the resulting function is shifted down by 5 units.

The rule to this translation is: $(x,y) \to (x,y- 5)$

So, we have:

$y" = y' - 5$

This gives:

$y" = (x - 0)^2 + 5 - 5$

$y" = (x - 0)^2 + 0$

Hence, the translation from $y = (x - 5)^2 +5$ to $y = (x - 0)^2 +0$ is to shift $y = (x - 5)^2 +5$ to the left by 5 units and then downward by 5 units

Read more about transformations at:

brainly.com/question/16619654

7 0

3 years ago

3) How many liters of a 20% acid solution must be mixed with a 60% solution to obtain 40 liters of a 35% solution? (25,15)THATS

serg [7]

let x = the number of liters of the 20% solution.

let y = the number of liters of the 60% solution.

you want x + y to be equal to 40 liters.

x is the number of liters total in the first solution.
y is the number of liters total in the second solution.

you want .2 * x + .6 * y to be equal to .35 * 40

.2 * x is the number of liters of acid in the first solution.
.6 * y is the number of liters of acid in the second solution.
.35 * 40 is the number of liters of acid in the final solution.

you have two equations that need to be solved simultaneously.

they are:

x + y = 40
.2x + .6y = .35*40

simplify these equations to get:

x + y = 40
.2x + .6y = 14

you can solve by substitution or by elimination or by graphing.
i will solve this one by graphing.
this means to graph both equations and find the intersection.

the graph looks like this:

the graph says the intersection is at the coordinate point of (25,15).

this means that x = 25 and y = 15.

x is the number of liters of the 20% solution.
y is the number of liters of the 60% solution.

the formula of .2x + .6y = 14 becomes .2 * 25 + .6 * 15 = 14.
simplify this equation to get 14 = 14.
this confirms the solution is good.

8 0

3 years ago

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