When dividing both sides of an inequality by an integer we must reverse the inequality symbol

Answers

Answer 1

Answer: no, you only reverse the inequality symbol when you divide both sides by a negative whole number.

Answer 2

Answer: If dividing a number by a negative integer, that is the only time you would reverse the inequality symbol.

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What is '7b-2b+3-1' ? Need working and it's equations!!

Answers

7b - 2b + 3 - 1 = 0

(7b - 2b) = 5b
3 - 1 = 2

Thus:

5b + 2 = 0
5b = -2
b = -2/5 = -0.4

7b-2b+3-1=0
5b+2=0
5b=-2
b=-2/5

Ellen purchased a dishwasher, which cost $315 before the 9.22% sales tax. She used the machine an average of 10 times per week for the next six years, at which point she replaced it. Each time she ran the dishwasher it cost her $0.09 for water and $0.13 for electricity. What was the lifetime cost of Ellen's dishwasher?

Answers

Given:
Cost of dishwasher : 315 before sales tax
sales tax : 9.22%

Total cost = 315 * 1.0922 = 344.043

Average of 10 uses per week for the next 6 years before replacing it.
There are 52 weeks in a year.

10 uses per week * 52 weeks per year * 6 years = 3120 average uses

cost for water = 0.09 ; cost for electricity = 0.13 ; total cost per use = 0.22

0.22 * 3120 = 686.40 cost of use

purchase cost = 344.043
cost of use = 686.40
lifetime cost 1,030.443

the correct answer is A. $1030.44

which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11? (5 points) the graph of y = f(x) will shift up 11 units. the graph of y = f(x) will shift right 11 units. the graph of y = f(x) will shift left 11 units. the graph of y = f(x) will shift down 11 units.

Answers

the graph of y = f(x) will shift down 11 units.

A medical clerk noticed that 7635 patients were admitted to the hospital in a one-year period. 4/15 of them had heart or lung diseases. How many patients with heart or lung diseases were admitted to the hospital during the year?

Answers

7635*4/15
=2036 patients

Corrext classification of 18x

Answers

from previous quesiotn I am assuming whatnomial

1 term, 18x
monomial

In a certain dart game, points are awarded for hitting a certain sections of the board. You get 5 points for each hit and lose 3 points for each miss. Each game consists of throwing 10 darts. If one team scores 18 points, how many darts hit the target and how many miss the target?Use substitution or elimination to solve:

t= dart that hit the target
m= darts that miss the target

t+m=10
5t+3m=18

Answers

so we have
h=hits
m=miss
h+m=10

gain 5 for every hit and lose 3 for every miss
so 5 times number of hit=points from hit
-3 times number of miss=points deducted from miss
add
5h-3m=18
so we have the equations

h+m=10
5h-3m=18

multiply first equation by 3
3h+3m=30
add to first equatio

3h+3m=30
5h-3m=18 +
8h+0m=48

8h=48
divide by 8
h=6
subsitute
h+m=10
6+m=10
subtract 6
m=4

6 hits
4 miss

Well look at that! The equations are already set up.

Let t= dart that hit the target
Let m= darts that miss the target

t+m=10 This equation is true because you throw 10 darts in one game.
5t+3m=18 This equation is true because the team got 18 points.

Now let's use substitution by solving one variable and substituting what the variable equals into the other equation.
t+m=10
m = 10-t
Now substitute 10-t as "m" in the other equation.
5t + 3(10-t) = 18
5t + 30 -3t = 18
2t = -12
t = -6

Now substitute -6 into the equation m=10-t
m = 10 - (-6)
m = 10 + 6
m = 16

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