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Helga [31]
2 years ago
12

HELP THIS IS DUE TODAY!

Mathematics
1 answer:
True [87]2 years ago
6 0

Answer:

x = 42

Step-by-step explanation:

\frac{2}{4} x - 3 = 4 +  \frac{1}{3} x \\  \\  \implies \:  \frac{1}{2} x -  \frac{1}{3} x = 4 + 3 \\  \\  \implies \:  \frac{3 - 2}{6} x = 7 \\  \\  \implies \:  \frac{1}{6} x = 7 \\  \\ \implies \: x = 7 \times 6 \\  \\ \implies \: x = 42

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Can some one pls help me
Leviafan [203]

Answer:

10.5in

Step-by-step explanation:

DC=16in is similar to OP=12in.

So the ratio is 12/16=3/4.

Now AD=14in.

MP=AD×ratio=14×3/4=21/2=10.5in

3 0
4 years ago
On average, Mercury is about 57 , 000 , 000 km from the sun, whereas Neptune is about 4.5 x 10^9 from the sun. What is the diffe
Svetlanka [38]

On average, Mercury is about 57,000 ,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury's and Neptune's distance from the sun?

<h3><em><u>Answer:</u></em></h3>

Difference between Mercury's and Neptune's distance from the sun is 4.443 \times 10^9 \text{ km }

<h3><em><u>Solution:</u></em></h3>

Given that,

Distance of mercury from sun = 57, 000, 000 km

Distance of Neptune from sun = 4.5 \times 10^9 \text{ km }

To find: Difference between Mercury's and Neptune's distance from the sun

<em><u>Let us convert distance of mercury from sun to scientific notation</u></em>

Scientific notation is used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits

<em><u>Steps to remember:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b

57, 000, 000 = 5.7 \times 10^7

Therefore,

Distance of mercury from sun = 5.7 \times 10^7 \text{ km }

<em><u>Calculating difference between Mercury's and Neptune's distance from the sun:</u></em>

difference = Distance of Neptune from sun - Distance of mercury from sun

\text{ difference } = (4.5 \times 10^9) - (5.7 \times 10^7)

Let us make both powers same

\text{ difference } = (4.5 \times 10^9) - (0.057 \times 10^9)

Taking 10 power 9 common we get,

\text{ difference } = 10^9(4.5-0.057)\\\\\text{ difference } = 10^9 \times (4.443)\\\\\text{ difference } = 4.443 \times 10^9

Thus difference between Mercury's and Neptune's distance from the sun is 4.443 \times 10^9 \text{ km }

3 0
4 years ago
Ession for the phrase. 4 minus a number
-Dominant- [34]

4-x

is this what you are looking for? what do you mean by "ession"? The question is not quite clear, sorry if my answer is not what you are looking for

4 0
3 years ago
Read 2 more answers
Bill rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 92 cents for each mile dr
Lady_Fox [76]

Answer:

He paid $18 of which $15.95 was

the flat fee.

 18.00

- 15.95

---------

$2.05 is the amount paid for mileage.

 

This is 205 cents for mileage

at 71 cents per mile.  Divide

205 by 71 to get the miles driven.

 

205/71 = 2.9 miles.

Step-by-step explanation:

7 0
3 years ago
What is the surface area of a cube that is 4 cm on each edge?
icang [17]

Answer:

96 units squared

Step-by-step explanation:

The surface area of a cube can be written as 6 * (s^2)

s is the side length.

4^2 = 16.

6 * 16 = 96.

This is because the area of a cube is s^2.

There are 6 sides to a cube, so we multiply them.

5 0
3 years ago
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