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2 years ago

Order 0.5, -1/7, -0.2, and 1/3 from least to greatest.

Mathematics

1 answer:

sladkih [1.3K]2 years ago

8 0

Hey there! I'm happy to help!

Let's convert the decimals to fraction form.

0.5=5/10=1/2

-1/7

-0.2= -2/10= -1/5

1/3

We know that the bigger the number in the denominator, the smaller the fraction is if the numerators are all the same.

First off, we have the negative numbers which are smaller than the other numbers. We have -1/7 and -1/5. We know that the 1/5 is a bigger fraction, but it is negatively bigger, so that is going to be the lesser number.

-1/5, -1/7

And with our bigger ones, we have 1/3 and 1/2. 1/2 is the bigger number here, so that will be the last one. Let's also be sure to convert back to our original forms! Here is our order :

-0.2, -1/7, 1/3, 0.5

Have a wonderful day and keep on learning! :D

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Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.

GarryVolchara [31]

We have been given that Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.9% sales tax, and the city charges a 2.2% sales tax.

We are asked to find the total tax, if Mr Luis sells his home for $122,500.

To find total tax, we will add all tax rates as they are being applied to same base.

$\text{Total of tax rates}=3.5\%+3.9\%+2.2\%$

$\text{Total of tax rates}=9.6\%$

Now we will find 9.6% of $122,500 to find total tax bill.

$\text{Total tax bill}=\$122,500\times \frac{9.6}{100}$

$\text{Total tax bill}=\$1225\times 9.6$

$\text{Total tax bill}=\$11,760$

Therefore, the total tax bill of Mr. Luis would be $\$11,760$ .

5 0

2 years ago

Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, wh

Elanso [62]

Answer:

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

Step-by-step explanation:

we know that

The dimensions of the garden in the actual are 10 ft by 5 ft

The dimensions of the garden on the scale drawing are 12 in. by 6 in

step 1

Find the scale factor

To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual

$\frac{12}{10}\ \frac{in}{ft}$

simplify

$1.2\ \frac{in}{ft}$

That means

1.2 inches in the drawing represent 1 foot in the actual

step 2

Find out the dimensions of the herb garden on the scale drawing

we know that

The dimensions of the herb garden in the actual are 2 ft by 5 ft

Multiply by the scale factor

$2\ ft=2(1.2)=2.4\ in$

$5\ ft=5(1.2)=6\ in$

therefore

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

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3 years ago

Find the volume of an oblique cone.

AURORKA [14]

V = (1/3) π r² t

= (1/3) π (10 cm)². 16 cm

= (1/3) π (100 cm²). 16 cm

= (1/3) π (1600 cm³)

= (1600π)÷3 cm³ (B)

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3 years ago

What ratios that are equivalent to 4 to 7.

expeople1 [14]

4 to 7 = 4/7

5/8 is not.

12/20 = 6/10 = 3/5 . It is not equivalent.

8:14 = 4 : 7 . It is equivalent

5 to 10 = 1 to 2. It is not.

16/28 = 8/14 = 4/7. It is equivalent.

9 to 16 = 9 to 16. It is not equivalent.

So only 8:14 and 16/28 are equivalent to 4 to 7.

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2 years ago

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The perimeter of an isosceles triangle is 7.5m, and the length of a leg is 2m. Find the length of the base.

seraphim [82]

The legs of an isosceles triangle are congruent; they have the same length, so if one leg measures 2 m, the other leg also measures 2 m.

2m + 2m + b = 7.5 m

b + 4 m = 7.5 m

b = 3.5 m

The length of the base is 3.5 m.

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3 years ago