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lesya [120]
3 years ago
15

This 7-digit number is 8,920,000 when rounded to the nearest ten thousand. the digits to the tens and hundreds places are the le

ast and same value. the value of the thousands digit is double that of the ten thousands digit. the sum of all its digits is 24.
Mathematics
1 answer:
Aliun [14]3 years ago
3 0
The 7-digit number we are looking for is 8,92a,bcd



"The value of the thousands digit is double that of the ten thousands digit."

The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.



The 7-digit number we are looking for is 8,924,bcd



"The sum of all its digits is 24."

8+9+2+4+b+c+d = 23 + b+ c+ d

Thus b+c+d = 1



The digits to the tens and hundreds places are the least and same value.

These two digits (b and c) must be 0, because b+c+d = 1

That means that the digit "d" must be equal to 1.



The 7-digit number we are looking for is 8,924,001



This number is the only number that satisfies all the conditions stated in the question.
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Please tell me how u got the answer no bots pleaseeeee
Inessa05 [86]

Answer:

x = - 21

Step-by-step explanation:

\frac{-12+x}{11} = - 3 ( multiply both sides by 11 to clear the fraction )

- 12 + x = 11 × - 3 = - 33 ( add 12 to both sides )

x = - 21

8 0
2 years ago
Read 2 more answers
Solve 4^x-5 = 6 for x using the change of base formula log base b of y equals log y over log b
Ronch [10]

Answer:

4^x-5=6 gives the solution x=\frac{\log(11)}{\log(4)}.

4^{x-5}=6 gives the solution x=\frac{\log(6)}{\log(4)}+5.

Step-by-step explanation:

I will solve both interpretations.

If we assume the equation is 4^{x}-5=6, then the following is the process:

4^x-5=6

Add 5 on both sides:

4^x=6+5

Simplify:

4^x=11

Now write an equivalent logarithm form:

\log_4(11)=x

x=\log_4(11)

Now using the change of base:

x=\frac{\log(11)}{\log(4)}.

If we assume the equation is 4^{x-5}=6, then we use the following process:

4^{x-5}=6

Write an equivalent logarithm form:

\log_4(6)=x-5

x-5=\log_4(6)

Add 5 on both sides:

x=\log_4(6)+5

Use change of base formula:

x=\frac{\log(6)}{\log(4)}+5

6 0
3 years ago
Which is more, 1 pound or 22 ounces?
nasty-shy [4]

Answer:

22 ounces is more

Step-by-step explanation:

1 pound is equal to 16 ounces

5 0
2 years ago
Read 2 more answers
A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 ea
Arte-miy333 [17]

Answer:

14x+5y<1000

Step-by-step explanation:

x=tree

y=bush

8 0
3 years ago
Given a sample of 35, what is the sample standard deviation of a pair of jeans if the 90% confidence interval is [37.14, 42.86]
DENIUS [597]

Answer:

<h2>10.295</h2>

Step-by-step explanation:

Using the value for calculating the confidence interval as given;

CI = xbar + Z*σ/√n

xbar  is the mean = 37.14+42.86/2

xbar= 80/2

xbar = 40

Z is the z-score at the 90% confidence = 1.645

σ is the standard deviation

n is the sample size = 35

Given the confidence interval CI as [37.14, 42.86]

Using  the maximum value of the confidence interval to get the value of the standard deviation, we will have;

42.86 =  xbar + Z*σ/√n

42.86 = 40 + 1.645* σ/√35

42.86-40 = 1.645*σ/√35

2.86 = 1.645*σ/√35

2.86/1.645 = σ/√35

1.739 = σ/√35

1.739 = σ/5.92

σ= 1.739*5.92

σ = 10.295

Hence, the sample standard deviation of a pair of jeans is 10.295

7 0
3 years ago
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