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2 years ago

The sum of 5 consecutive numbers is -5. What is the largest out of the numbers?

1 answer:

3 0

We can say that x is the largest number.

So the sum is x + (x - 1) + (x - 2) + (x - 3) + (x - 4) = -5

Now solve for x:

x + x + x + x + x - 1 - 2 - 3 - 4 = -5

5x - 10 = -5

5x = 5

x = 1

So the largest number is 1.

Check: 1 + 0 + -1 + -2 + -3 = -2 + -3 = -5 so 1 is correct.

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Ike likes numbers only if the sum of their digits is 9. How many digits between 10-100 does he like? *

Rashid [163]

Ok so its 8 `1&8 2&7 3&6 4&5 and then all of those numbers reversed
18 27 36 45 and 81 72 63 54

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3 years ago

Read 2 more answers

HELP ASAP ITS SO HARD! Kelsey did the following division problem. Her teacher says that the quotient she found is wrong. −2 5/6

SpyIntel [72]

Part A

Her steps were

$-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{6}{17} \times \frac{3}{4}\\\\-\frac{6\times 3}{17\times4}\\\\-\frac{18}{68}\\\\-\frac{9}{34}\\\\$

Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.

The third step should look like $-\frac{17}{6}\times \frac{3}{4}$

=======================================================

Part B

Here's what she should have written

$-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{17}{6} \times \frac{3}{4}\\\\-\frac{17\times 3}{6\times 4}\\\\-\frac{51}{24}\\\\-\frac{17}{8}\\\\$

If you want to convert that improper fraction to a mixed number, then you could do something like this

$-\frac{17}{8} = -\frac{16+1}{8}\\\\-\frac{17}{8} = -\frac{16}{8}-\frac{1}{8}\\\\-\frac{17}{8} = -2 \frac{1}{8}\\\\$

Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.

4 0

2 years ago

Read 2 more answers

Find the standard form of the equation of each circle with the endpoints of a diameter (1,8) and (-3,2)

eimsori [14]

Answer:

(x+1)^2+(y-5)^2=13

Step-by-step explanation:

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2 years ago

It takes a car 1.75 h to go from mike marker 10 to mile marker 115. what is the average speed of the car?

Black_prince [1.1K]

Answer:

60 mph

Step-by-step explanation:

8 0

3 years ago

PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50

evablogger [386]

Answer:

B.77.4%

Step-by-step explanation:

Mean wage (μ) = $4.50

Standard deviation (σ) = $0.50

For nay given salary X, the z-score is given by:

$z=\frac{X-\mu}{\sigma}$

For X = $3.75, the z-score is:

$z=\frac{3.75-4.50}{0.50}\\z=-1.5$

For X = $5.00, the z-score is:

$z=\frac{5.00-4.50}{0.50}\\z=1$

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

$P=84.13-6.68\\P=77.45\%$

The answer is alternative B.77.4%

8 0

3 years ago