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RideAnS [48]
3 years ago
8

Explain why the exponents cannot be added in the product 12^3 x 11^3.

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The exponents can only be added if the bases are the same

Here one base is 12 and the other is 11

So the rule of addition is not applicable.

stepladder [879]3 years ago
3 0

Answer:

Because the bases (12 and 11) are different.

Step-by-step explanation:

You can only add exponents when the bases are the same.

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How to solve for 6x-12+2x=3+8x-15
Alecsey [184]
6x−12+2x=3+8x−15

Simplify:

6x+−12+2x=3+8x+−15

(6x+2x)+(−12)=(8x)+(3+−15)(Combine Like Terms)

8x+−12=8x+−12


8x−12=8x−12

Subtract 8x from both sides.

8x−12−8x=8x−12−8x

−12=−12

Add 12 to both sides.

−12+12=−12+12

0=0

The real numbers are the only solution we can have.


4 0
3 years ago
Chanda can bake and decorate 72 cookies in 2.5 hours. At this rate,how long will it take her to bake and decorate 108 cookies?
In-s [12.5K]

Hello there! A. 3.75 hours is your answer.

Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.

total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)

72 ÷ 2.5 = 28.8 cookies an hour

Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.

180 cookies ÷ x time = 28.8

Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.

180 ÷ 3.75 = 28.8.

So, this is your correct answer.

7 0
3 years ago
Are these ratios equivalent?
krek1111 [17]

Answer:

Yes

Step-by-step explanation:

If you multiple 1/3 by 3/3 you would get 3/18

8 0
4 years ago
Rationalise the denominator <br>​
Margaret [11]

Step-by-step explanation:

1. \frac{2 \sqrt{3} }{ \sqrt{5} }

multiply

\sqrt{5}

do both the numerator and denominater

\frac{2 \sqrt{3} }{ \sqrt{5} }   \times  \frac{ \sqrt{5} }{ \sqrt{5} }  =  \frac{2 \sqrt{15} }{ \sqrt{25} }  =  \frac{2 \sqrt{15} }{5}

8 0
3 years ago
What is the center of the data?
satela [25.4K]

Answer:

Median = 13

Step-by-step explanation:

Given

See attachment for dot plot

Required

The center of data

This implies that, we calculate the median

From the attached plot,

n = 13 --- number of observation

So, the median is:

Median = \frac{n + 1}{2}

Median = \frac{13 + 1}{2}

Median = \frac{14}{2}

Median = 7th

The median is at the 7th position

At the  7th position, is 13

Hence:

Median = 13

5 0
3 years ago
Read 2 more answers
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