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artcher [175]
3 years ago
8

Solve the inequality 7x<5x-8

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0
Minust 5x both sides
7x-5x<5x-5x-8
2x<-8
divide by 2 both sides
x<-4
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Which property was used to solve the given inequality?
Amiraneli [1.4K]

Subtraction Property of Inequality is used to solve the given inequality

<em><u>Solution:</u></em>

Given inequality is:

y + 8 < - 8

To solve the inequality, subtract 8 on both sides,

We know that,

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

y + 8 < - 8\\\\\text{Subtract 8 from both sides of inequality }\\\\y + 8 - 8 < -8  - 8\\\\simplify,\\\\y

Thus, Subtraction Property of Inequality is used

4 0
3 years ago
(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the out
Ne4ueva [31]

Answer:

Sample space: {1,2,3,4,5,6}

All equally likely to occur

8 0
3 years ago
Bryce started with $450 in a bank account that does not earn interest. In the middle of every month, he withdraws 13 of the acco
Aleonysh [2.5K]
Because bryce started off with $450 ,  then his a1 should be $450. Then the amount of money that he will have after one month is 
an = 13(an-1)
In this case, an is the amount of money he has and an-1 is the amount of money he has in his account from the month prior
3 0
3 years ago
In a class of 10, there are 5 students who play soccer.
Ipatiy [6.2K]

Answer:

Step-by-step explanation: 5/10=1/2  - if one student  are chosen, who plays soccer

4/9 if then the second student are chosen, who plays soccer

1/2*4/9=2/9 the probability that both  students play soccer

3 0
2 years ago
The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months. Assume that the lives of
alisha [4.7K]

Answer:

99.7%

Step-by-step explanation:

Using the z score formula

z-score is z = (x-μ)/σ

where:

x = raw score

μ = population mean

σ = population standard deviation.

a) for x = raw score = 35

μ = population mean = 44

σ = population standard deviation =3

z = (35 - 44)/3

z = -9/3

z = -3

b) for x = raw score = 53

μ = population mean = 44

σ = population standard deviation =3

z = (53 - 44)/3

z = 9/3

z = 3

We would use the standard normal distribution table to find their probabilities

P(Z<=-3)=0.0013499

P(Z<=+3)=0.99865

So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973

Converting to percentage = 0.9973 × 100 = 99.73%

Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%

6 0
3 years ago
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