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Mnenie [13.5K]
4 years ago
8

One number is 7 less than a second number. Twice the second number is 7 less than 5 times the first. Find the smaller of two num

bers.
Possible answers:
6, -14, 8, 7
Mathematics
1 answer:
aliya0001 [1]4 years ago
8 0
N = x-7
2x = 5n-7

2x = 5(x-7)-7
2x=5x-35-7
-3x=-42
x=14
n=7

7 is the answer
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Which best describes the relationship between the successive terms in the sequence shown?
Alex Ar [27]

Given series is 2.4,-4.8,9.6,-19.2

To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.

Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2

Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4

Since those common differences are not equal the given series does not have common difference at all.

To check if it has common ratio or not let us find few ratios of consecutive terms.

Common ratio of first 2 terms = \frac{2nd term}{first term} = \frac{-4.8}{2.4} = -2

Common ratio of 2nd and 3rd terms = \frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0

So, the given series has common ratio as -2.0

7 0
3 years ago
Read 2 more answers
What’s the Answer please
san4es73 [151]

Answer:

B

Step-by-step explanation:

The pattern is to add 4 each time. So 17+4 is 21, 21+4 is 25, and 25+4 is 29

5 0
3 years ago
The diagram shows a square-based cuboid.
san4es73 [151]

Answer:

wgxvbdx

Step-by-step explanation:

sorry

7 0
3 years ago
Radioactive Decay:
Vadim26 [7]

The question is incomplete, here is the complete question:

The half-life of a certain radioactive substance is 46 days. There are 12.6 g present initially.

When will there be less than 1 g remaining?

<u>Answer:</u> The time required for a radioactive substance to remain less than 1 gram is 168.27 days.

<u>Step-by-step explanation:</u>

All radioactive decay processes follow first order reaction.

To calculate the rate constant by given half life of the reaction, we use the equation:

k=\frac{0.693}{t_{1/2}}

where,

t_{1/2} = half life period of the reaction = 46 days

k = rate constant = ?

Putting values in above equation, we get:

k=\frac{0.693}{46days}\\\\k=0.01506days^{-1}

The formula used to calculate the time period for a first order reaction follows:

t=\frac{2.303}{k}\log \frac{a}{(a-x)}

where,

k = rate constant = 0.01506days^{-1}

t = time period = ? days

a = initial concentration of the reactant = 12.6 g

a - x = concentration of reactant left after time 't' = 1 g

Putting values in above equation, we get:

t=\frac{2.303}{0.01506days^{-1}}\log \frac{12.6g}{1g}\\\\t=168.27days

Hence, the time required for a radioactive substance to remain less than 1 gram is 168.27 days.

7 0
3 years ago
Can you guys please help me with math? (Pt 2.)
Firlakuza [10]
(0,a)

it didnt move left or right on the x-axis
it went up a units (since its half of 2a)
5 0
3 years ago
Read 2 more answers
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