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Dmitriy789 [7]
4 years ago
9

Chloe ate 10 grapes and 5 crackers. Layla ate 5 grapes and 10 crakers. Who ate more food items? Write a number sentence. Then id

enfify the property or rule used
Mathematics
1 answer:
a_sh-v [17]4 years ago
8 0
10+5=5+10
They both ate the same amount of food. 
Commutative Property of Addition is used. 
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Please help with 15, 17 and 19
Irina-Kira [14]

Given:

15. \log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)

17. \log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)

19. 2^{\log_2100}

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)

Using property of logarithms, we get

\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1         [\because \log_aa=1]

Therefore, the value of \log_{\frac{1}{2}}\left(\dfrac{1}{2}\right) is 1.

17. We have,

\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)

Using properties of logarithms, we get

\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)                    [\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}]

\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1                 [\because \log_aa=1]

Therefore, the value of \log_{\frac{3}{4}}\left(\dfrac{4}{3}\right) is -1.

19. We have,

2^{\log_2100}

Using property of logarithms, we get

2^{\log_2100}=100          [\because a^{\log_ax}=x]

Therefore, the value of 2^{\log_2100} is 100.

6 0
3 years ago
(18+4)+m=(5-3)m
Elanso [62]
The answers to the questions

6 0
3 years ago
Which expression has both eight and N factors
GrogVix [38]

Answer:

8n

Step-by-step explanation:

8n is the factor of both 8 and n. in the following question. Factor ⇒ If a number, that use to divide another number and we get zero as a remainder, the number is called the factor of another number.

6 0
3 years ago
A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total
mario62 [17]

Answer:

6 to 40

Step-by-step explanation:

add all of the marbles which will give you the total

8 0
3 years ago
What is the solution of 3x + y = 9 and 3x − 5y = 15?
allochka39001 [22]
The answer is (10/3, -1)
7 0
3 years ago
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