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antiseptic1488 [7]
4 years ago
10

Are two ratios are equivalent to two thirds

Mathematics
1 answer:
trapecia [35]4 years ago
7 0
2:3 and 4:6 are two different ratios that are equivalent to 2/3.

B) 
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In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
Estimate each quotient. show your work. 165÷4​
Serggg [28]

Answer: 41 1/4

Step-by-step explanation: 160/4=40

5/4= 1 1/4

LIKE IF CORRECT

3 0
3 years ago
Read 2 more answers
Katrina wants to build a fence around her square garden. Her garden has an area of 121 square feet. How much fencing will Katrin
Luba_88 [7]

121 \div 2 = 11
each side equals 11
11 \times 4 = 44
katrina needs 44 ft of fence
4 0
3 years ago
Read 2 more answers
Is 3/4 and 20/28 equivalent?
Mila [183]
No, because simplified, 20/28 would be 5/7, not 3/4
21/28 would be equivalent to 3/4 though
6 0
4 years ago
Read 2 more answers
Find the distance between the two numbers on a number line. Write your answer as a mixed number.
solong [7]

Answer:

We conclude that the distance between the two numbers on a number line will be: 322

Step-by-step explanation:

Given the numbers

-212

-534

There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.

But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.

so

Distance between the numbers:

\left|-212-\left(-534\right)\right|

Apply rule: -(-a) = a

=\left|-212+534\right|

=\left|322\right|

Apply absolute rule:   \left|a\right|=a,\:a\ge 0

=322

Therefore, we conclude that the distance between the two numbers on a number line will be: 322

4 0
3 years ago
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