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3 years ago

Order from least to greatest1/8, 11/12, 9/8

Mathematics

1 answer:

zepelin [54]3 years ago

8 0

Answer:

Step-by-step explanation:

First make the denominators the same.

Take the LCM of (8, 12 , 8) = 24

So,

$\frac{1}{8}, \frac{11}{12}, \frac{9}{8} \ becomes \ \frac{3}{24}, \frac{22}{24}, \frac{27}{24}$

$Order \ from \ least \ to \ greatest \ \\\\\frac{3}{24} < \frac{22}{24} < \frac{27}{24}$

That is,

$\frac{1}{8}, \frac{11}{12}, \frac{9}{8}$

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The mass of a proton is about 1.7 \times 10^(-24). Write this number in standard notation.

OLga [1]

Now we have a negative exponent, which is the opposite of a positive exponent.

If a positive exponent means you're multiplying by 10s and it makes a number bigger by moving the decimal to the right, then

the opposite of this is that a negative exponent means you're dividing by 10s and making the number smaller by moving the decimal point to the left.

Examples:

$930 \div 10 = 93$

${\bf930 \div 10} \div 10 = {\bf 93} \div 10 = 9.3$

The trick is to recognize that

$930 \div 10$ is the same thing as $930 \times 10^{-1}$

${}\div 10$ and ${}\times 10^{-1}$ mean the same thing.

So, $930 {\bf {}\div 10 \div 10} = 930 {\bf {}\times 10^{-1} \times 10^{-1}} = 930 {\bf {}\times 10^{-2}} = 9.3$

For your exercise, ${}\times10^{-24}$ means you'll move the decimal point 24 places to the left, to make the number smaller.

3 0

3 years ago

Samuel is running a 3-mile race. He would like to finish the race in under 33 minutes. He has already run for 10. 5 minutes. The

photoshop1234 [79]

x < 22.5; Samuel has less than 22.5 minutes to finish the race in the estimated time.

<h3>What amount of time Samuel left for the race?</h3>

The given inequality is-

$10x < 33$

From here, we define the variable x.

x = Number of the minutes left for the race

From here we can find the value of x

We have then:

$x < 33-10.5$

$x < 22.5$

Hence, Samuel has less than 22.5 minutes to finish the race in the estimated time.

To know more about inequality follow

brainly.com/question/24372553

7 0

3 years ago

Look at the Picture. Look at the Picture.

lys-0071 [83]

Answer:

325 square inches

Step-by-step explanation:

Consider the attachment below for further reference. Ideally we would split this figure into parts, and solve as demonstrated by the attachment. I have labeled each rectangle as rectangle 1, rectangle 2, rectangle 3 etc. ;

$Rectangle 1 Area = 17 in * 5 in = 85 square in\\Rectangle 2 Area = ( 17 in - 5 in ) * 14 in = 168 square in,\\Rectangle 3 Area = ( 12 in - 3 in ) * 8 in = 72 square in\\\\Total Area = 85 + 168 + 72 = 325 square inches$