Solve the inequality shown below. -2(q-22)+q+12>0

Mathematics

1 answer:

Andru [333]2 years ago

4 0

−2(q−22)+q+12>0
Step 1: Simplify both sides of the inequality.
−q+56>0
Step 2: Subtract 56 from both sides.
−q+56−56>0−56
−q>−56
Step 3: Divide both sides by -1.
−q−1>−56−1
q<56
Answer: q<56

You might be interested in

A pack of 6 batteries of the same type cost £2.79 By calculating the price per battery,

maks197457 [2]

$\large{\rm{\underline{\underline{Answer:}}}}$

Given, 6 batteries for £2.79

(They are of same type, so each of them are of same cost. )

~Simply divide the total price of 6 batteries by 6 to get the price of each battery,

$= \dfrac{£2.79 }{6}$

$= £ \dfrac{279}{100 \times 6}$

$= £ \dfrac{46.5}{100}$

$= £0.465$

Thus, cost of each battery is £ 0.465 (ans)

8 0

2 years ago

Notebooks cost a $1.20 each this week and they will be on sale for $0.80 what percentage is the sale

ozzi

We can use algebra.

So, what rate time 1.20 = .80

Let x = the rate (in a decimal form)

1.20x = .80

x = .6666666666

Now, we need to multiply by 100 to get a percentage.

66.66 The price is 66% of the regular price.

They marked it off

33.33%

6 0

3 years ago

Read 2 more answers

A recent survey asked UF students if they had a job or not, and if they were underclassmen (Freshmen and Sophomores) or uppercla

vlada-n [284]

Following the table and knowing that the total number of students interviewed were 158 ( we can see this by looking adding either the total number of upperclassment or adding the total number of people with jobs or no jobs, this value is at the bottom right of the table in the figure attached).
Recall that:
$P(A\cup B)=P(A)+P(B)-P(A\cap B)$
In the figure provided each of these terms is highlighted in a different color. To convert these values to their matching probabilities we have to divide each by the total number of students, this is due to the fact that the probability is the number of favorable cases (in this case a group matching the qualities we seek) divided by the total amount of cases ( that is the total number of people interviewed). In the figure the answer is provided. For the intersection of the two events we're looking for people that is both an undercalssman and also has a job.