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slega [8]
3 years ago
14

3x + 5 > 16 x is an integer. Find the smallest value of x.

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
8 0

Answer:

4

Step-by-step explanation:

Given

3x + 5 > 16 ( subtract 5 from both sides )

3x > 11 ( divide both sides by 3 )

x > \frac{11}{3} , that is

x > 3 \frac{2}{3}

If x is an integer then the smallest value of x is 4

Neporo4naja [7]3 years ago
4 0

Answer:

<em>4</em>

Step-by-step explanation:

3x + 5 > 16

3x > 16 - 5

3x > 11

x > 11 / 3

x > 3.6666...

The smallest value would be 4.

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It costs you $22.25 per day to rent a car in New York City. In addition, you have to pay 16 cents for every mile you travel. How
olganol [36]

Answer: $178.13

Step-by-step explanation:

418x0.16=66.88

22.25x5=111.25

111.25+66.88=178.13

4 0
3 years ago
9. Determine whether or not the number 257 is prime.
Sladkaya [172]

Answer:

257 is prime.

Step-by-step explanation:

To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.

In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)

  • 257 is odd, so it is not divisible by 2.
  • The sum of its digits is 14, therefore, it is not divisible by 3.
  • 257 ends in 7, therefore it's not divisible by 5.
  • 257/ 7 = 36.71 so it's not divisible by 7.
  • 257/ 11 = 23.36 so it's not divisible by 11
  • Finally 257 / 13= 19.76 so it's not divisible by 13.

Therefore, 257 is prime.

7 0
3 years ago
Mage has $36 to spend on movie tickets. Each movie ticket costs $4.50. How many tickets can he buy?
Stels [109]

Answer:

x = 8 tickets

Step-by-step explanation:

Given that,

Mage has $36 to spend on movie tickets.

Each movie ticket costs $4.50.

Let he bought x tickets. ATQ,

4.50x = 36

x=\dfrac{36}{4.5}\\\\=8

So, he can buy 8 tickets.

4 0
3 years ago
23f in verbal expression
adell [148]
23f in verbal expression"twenty-three f".
4 0
3 years ago
The highway mileages of 147 cars are in a file named CARS2.† These cars are 2003 models. Find the mean, standard deviation, and
grigory [225]

In statistics, mean is the average in a set of data collected. To calculate the mean, you have to add up all the numbers in the table and divide it by the number of data that exists. For example, if the data set is 2 4 1 5 2 8, the mean will be:

mean = \frac{(2+4+1+5+2+8)}{6}= 3.6

So, for this data set, the mean is 3.6.

The median is also a average number, however, the median is the middle value in the list. For example, with the data set above, the median is 3, because, as the set has an even number of data, the middle term would be the mean of the two middle number, in other words:

median = \frac{1+5}{2} = 3

The standard deviation (σ) is the spread of data distribution, which means it's how "far" a number is from the mean of the set. The formula is

σ = √∑ (x - μ)²/N, where ∑ is the total sum; μ is the mean; and N is the number of data points in the sample. So, to calculate the standard deviation, using the example:

1) Calculate the mean of the set: μ=3.6

2) Find the difference between each data point and the mean and then, the square of each one:

(2-3.6)² = 2.56;

(4-3.6)² = 0.16

(1-3.6)² = 6.76

(5-3.6)² = 1.96

(2-3.6)² = 2.56

(8-3.6)² = 19.36

3) Add up all the squares: ∑= 33.36

4) Divide by the number of data points: \frac{33.36}{6}=5.56

5) Take the square root: σ = 2.36

For the set of numbers above (2,4,1,5,2,8), the standard deviation is

σ = 2.36.

6 0
3 years ago
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