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nalin [4]
3 years ago
6

A paper has an area of 598 square centimeters. What is the paper's area in square inches?

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

Answer:

Step-by-step explanation:

1 in²=6.45 cm²

598 cm²=x in²

  1 in²            x in²

______ = _______

6.45cm²       598cm²

Cross multiply

6.45x=598

divide both sides by 6.45

x=92.7 in²

Answer=92.7 in²

Tom [10]3 years ago
7 0

Answer:

92.69018538 inches ^2

Step-by-step explanation:

We need to convert cm to inches

1  inch = 2.54 cm

598 cm^2 * 1 inch        1 inch

                   --------   * ------------  

                     2.54 cm   2.54 cm

We multiply the conversion factor twice since we have cm^2

The cm^2 cancel and we are left with inches^2

598

------     inches^2

6.4516

92.69018538 inches ^2

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5x + 19.95 = 35 <br> Solve x
solniwko [45]

Answer:

Answer is x=3+0.05/5

Step-by-step explanation:

5x+19.95=35

We move all terms to the left:

5x+19.95-(35)=0

We add all the numbers together, and all the variables

5x-15.05=0

We move all terms containing x to the left, all other terms to the right

5x=15.05

x=15.05/5

x=3+0.05/5

I hope it's helpful!!

7 0
3 years ago
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Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down w
Furkat [3]

Answer:

Sam's time was 1 hour and 6.66 minutes (or 1 and 1/9 hours)

Liam's time was was 1 hour

So in conclusion, Liam was faster

Step-by-step explanation:

We got Sam's time by 1/1 because Sam was walking 1 mph and the length to reach the top of the hill is 1 mile. So it would take Sam 1 hour to walk 1 mile. Walking down the hill Sam's speed was 9 mph. So the equation would be 1/9. So you would get 1/9. 1/9 of 60 is 6.66 repeating.

For Liam it is pretty simple. Since he is going up the hill at 2 mph and the length of the bottom of the hill to the top is 1 mile, it would be 30 minutes. Repeat this for the top to the bottom and in total it would be 1 hour.

Hope this helps

3 0
3 years ago
A 4 in. x 5 in. picture is used to make a wall banner that is 48 in. x 60 in. This is an example of a(an):
Paha777 [63]

It is given that a 4 in. x 5 in. picture is used to make a wall banner that is 48 in. x 60 in. Thus, we can see a small picture has been enlarged or expanded. Therefore, this is an expansion. Thus the complete answer will be:

A 4 in. x 5 in. picture is used to make a wall banner that is 48 in. x 60 in. This is an example of an Expansion.

Therefore, out of the given options, Option A is the correct option.

6 0
3 years ago
Find the 15th term of the geometric sequence 180, 90, 45,...
denis23 [38]

Answer:

\frac{45}{4096}

Step-by-step explanation:

1) q=90/180=45/90=...=1/2;

2) the formula of the n-th term of the given sequence is:

a_n=a_1*q^{n-1};

3) according to the formula 15th term is:

a_{15}=a_1*q^{15-1}=180*\frac{1}{2} ^{14}=\frac{180}{16384} =\frac{45}{4096}

or ≈0.011.

7 0
3 years ago
The volume of a cone is 565.2 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the
PSYCHO15rus [73]

Answer:

Radius, r = 6 inches

Step-by-step explanation:

We have,

Volume of a cone is 565.2 cubic inches

Height of the cone is 15 inches

It is required to find the radius of the cone. Volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h

r is radius of cone

r=\sqrt{\dfrac{3V}{\pi h}} \\\\r=\sqrt{\dfrac{3\times 565.2}{3.14\times 15}} \\\\r=6\ \text{inch}

So, the radius of the cone is 6 inches. The correct option is (b).

6 0
4 years ago
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