1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galben [10]
3 years ago
12

Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number. 12z - 3 ≥

2z - 15
Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0
12z - 3 ≥ 2z - 15
When you have to solve an equality like that, you need to put the variables apart (the numbers with letters) and the numbers apart.
So first, we need to reunite the variables, by subtracting "2z" from both sides of the equation:
12z - 3 ≥ 2z -15
12z - 2z - 3 ≥ 2z - 2z - 15
12z - 2z - 3 ≥ -15
10z - 3 ≥ 15

Then we add 3 to both sides:
10z - 3 + 3 ≥ -15 + 3
10z ≥ -12

Now divide both sides by 10
(10z)/10 ≥ -12/10
z ≥ -6/5

Now we need to write the answer as a mixed number.
-6/5 = -1.2
0.2 = 1/5
9
So -6/5 = -1 1/5.

So 12z - 3 ≥ 2z - 15 for Z ≥ -1 1/5

Hope this helps! :)
You might be interested in
49-c&lt; or equal to 45<br><br><br><br><br>thanks
m_a_m_a [10]

49-c\leq45\qquad\text{subtract 49 from both sides}\\\\-c\leq-4\qquad\text{change the signs}\\\\\boxed{c\geq4}

3 0
3 years ago
For every 1/6 mile that a ship travels north, it travels 3/5 miles west. How many miles does the ship travel north for every mil
Virty [35]
2/6 miles that is the answer for your question
3 0
3 years ago
Read 2 more answers
Use the number line below, where RS = 8y +4, ST = 4y + 7, and RT = 107.
NISA [10]

Answer:

a) Finding value of y:

8y+4+4y+7=107

12y+11=107

12y =107-11

12y =96

y = 96/12

y = 8

b) RS= 8y+4

= 8(8)+4

= 64+4

= 68

ST= 4y+7

= 4(8)+7

= 32+7

= 39

8 0
3 years ago
10 points!!
Contact [7]
The slope of the equation would be 7/3 since the original slope was -3/7. We already know y int (b) so the eqn is

y = 7/3x + 2
3 0
3 years ago
Quicklkkkkkkkk If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second,
son4ous [18]

Answer:

Since time can't be negative, the only possible solution is 0.72 s.

Step-by-step explanation:

When the ball hits the ground its height is equal to 0, so we must find a value for "t" that results in h = 0. We have:

-16*t^2 + 6*t + 4 = 0\\t_{1,2} = \frac{-6 \pm \sqrt{(6)^2 - 4*(-16)*(4)}}{2*(-16)}\\t_{1,2} = \frac{-6 \pm \sqrt{292}}{-32}\\t_{1,2} = \frac{-6 \pm 17.1}{-32}\\t_1 = \frac{-6 -17.1}{-32} = 0.72\\t_2 = \frac{-6 + 17.1}{-32} = -0.35\\

Since time can't be negative, the only possible solution is 0.72 s.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Write 5 numbers that round to 360 when rounded to the nearest ten
    8·1 answer
  • The formula for the height of a ball as a function of time is given by the equation h = -16t^2 + vt + h, where h is the height o
    10·1 answer
  • How do you solve for X ?4x-1=3x+3
    12·2 answers
  • What is the solution to the system of equations in the graph
    9·1 answer
  • alec is climbing a 14 foot ladder where the rungs are 3/4 of a foot apart. there is one foot of space on each end of the ladder
    15·1 answer
  • Are the expressions 3.16 - 0.22b and 2.88b Equivalent?
    14·1 answer
  • Pls help meeee Idk how to do this
    10·2 answers
  • A rhombus is enlarged and has a new perimeter of 40 feet. If the original perimeter was 10 feet, by what factor was the rhombus
    9·2 answers
  • If an angle is measured 76 what is the measure of its complementary angle?
    7·1 answer
  • Solve g(x) = 22 + 12x – 5. Submit the sum of your solutions
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!