All categories

3 years ago

Find two consecutive integers whose sum is eleven less than three times the smaller integer.

Mathematics

1 answer:

asambeis [7]3 years ago

5 0

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11 The sum of the two is 11 less than 3 times the smaller

y=x+1 Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11 Substitute x+1 for y

2x+1=3x-11 Combine like terms

2x+12=3x Add 11 to both sides

12=x Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25 Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it

You might be interested in

Given:

11Alexandr11 [23.1K]

M<APB + m<BPC = 90    complementary angles
m<FPB + m<BPC = 180    linear pair
m<APB = m<EPD vertical angles
m<FPD = m<APC right angles are congruent
m<EPC + m<EPF = 180 linear pair
m<BPC = m<EPD   vertical angles

3 0

3 years ago

Read 2 more answers

3. There is no expiration date on the debit card.<br><br> True<br><br> False

svet-max [94.6K]

The answer to the question is
False

7 0

3 years ago

Read 2 more answers

Mark is 5 years older than Juan, who is X year old. Write an expression for Mark's age.

scoundrel [369]

Answer:

y = x+5 where y is Mark's age

Step-by-step explanation:

Hi there, to answer this problem, you need to really think about what it is asking. In saying that mark is 5 years older than Juan, we know it is going to involve addition. Then, you simply need to think about the relation to Juan's age. In this case, Mark is older so you add to it. Hope this helped!

4 0

3 years ago

One year josh had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitche

Anna11 [10]

Answer:

Josh's ERA had a z-score of -3.26.

Alice's ERA had a z-score of -1.11.

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Josh:

ERA of 2.89, mean of 5.083, standard deviation of 0.672. So

$X = 2.89, \mu = 5.083, \sigma = 0.672$ , and the z-score is: