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4 years ago

Draw a model to find the product 84×0.24

2 answers:

6 0

.24 is rational, therefore it can be expressed as a/b.
.24=24/100
The product would be (84×24)/100 which is 20.16 if you wanted to put it in decimal form.

Charra [1.4K]4 years ago

6 0

Answer:

Step-by-step explanation:

One way to find the product of this multiplication is by transforming the decimal number into a fraction and then operate. We can see that the decimal number has two decimal points, so if we divide by 100, we will have a whole number on the top:

$0.24=\frac{24}{100}$

Now, we multiply this fraction:

$84\frac{24}{100}=\frac{2016}{100}$

Then, to have the final result as decimal, we just divide by 100, this means to move the decimal point two spaces to the left:

$\frac{2016}{100}=20.16$

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Answer:

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Step-by-step explanation:

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2 years ago

Give first the step you will use to seperate variable and then solve the equation:- a) 4x=25

mash [69]

Answer:

Divide by 4

Step-by-step explanation:

4x/4=25/4

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3 years ago

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natka813 [3]

Answer:

A. The distance is the same

Step-by-step explanation:

This is like absolute value. No matter the side of 0 that the point is on, it is still the same distance from zero. The direction left or right is different, but it doesn't ask for that. Both 6 and -6 is 6 units away from 0.

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3 years ago

A local improvement store sells different sized of storage sheds. The most expensive shed has a footprint that is 15 feet wide b

Mekhanik [1.2K]

Answer:

Question 1: Are the footprints of the two sheds similar?

Yes, the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction,

It is a reduction

Question 3: Find the scale factor from the most expensive shed to the least expensive shed

The scale factor is 3/2

Explanation:

Question 1: Are the footprints of the two sheds similar?

The footprints of the two sheds will be similar if their measures are proportional.

The ratio of the measures of the footprint of the most expensive shed is:

width/length = 15 feet / 21 feet = 5 / 7

The ratio of the measures of the footprint of the least expensive shed is:

width/length = 10 feet / 14 feet = 5 / 7

Since, the two ratios are equal, you conclude that the corresponding dimensions are proportional and the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction.

A reduction is a similar transformation (the image and the preimage are similar) that maps the original figure into a smaller one.

Since the dimensions of the foot print of the least expensive shed, 10 feet wide by 14 feet long, are smaller than the dimensions of the most expensive shed, 15 feet wide by 21 feet long the you conclude that the former is a reduction of the latter.

Question 3: Find the scale factor from the most expensive shed to the least expensive shed.

To find the scale factor from the most expensive shed to the least expensive shed, you divide the measures of the corresponding dimensions. You can do it either with the widths or with the lengths.

Using the widths, you get:

width of the foot print of the most expensive shed / width of the foot print of the least expensive transformation

15 feet / 10 feet = 3/2.

That means that the scale factor from the most expensive shed to the least expensive shed is 3/2.

Using the lenghts, you should obtain the same scale factor:

length of the foot print of the most expensive shed / length of the foot print of the least expensive transformation

21 feet / 14 feet = 3/2. Such as expected.

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3 years ago

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kozerog [31]

Answer:

The perimeter is $32\sqrt{7}$ cm.

Step-by-step explanation:

Perimeter is found by adding all sides of the triangle together. So, this is what we need to find: $8\sqrt{7}+4\sqrt{63}+6\sqrt{28}$

Only like radicals can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.

Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7: 7/7 = 1, 63/7 = 9, 28/7 = 4.

Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.

$8\sqrt{7}$ remains the same; $4\sqrt{63}=4\sqrt{9(7)} =4(3)\sqrt{7}=12\sqrt{7}$ ; and

$6\sqrt{28}=6\sqrt{4(7)}=6(2)\sqrt{7}=12\sqrt{7}$ . Now they are like radicals and can be added!

$8\sqrt{7}+12\sqrt{7}+12\sqrt{7}=32\sqrt{7}$

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2 years ago