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
dsp73
3 years ago
7

What is a number line for 5a + 18 < -27?

Mathematics
2 answers:
devlian [24]3 years ago
4 0

Answer:

Letter C.

Step-by-step explanation:

Let’s start by subtracting \blue{18}18start color #6495ed, 18, end color #6495ed from both sides of the inequality:

\qquad \begin{aligned} 5a + 18 &< -27\\ 5a + 18 \blue{-18} &< -27\blue{-18}\\ 5a &< -45\\ \end{aligned}

5a+18

5a+18−18

5a​  

<−27

<−27−18

<−45

Hint #22 / 4

To isolate aaa, we need to divide both sides by \green{5}5start color #28ae7b, 5, end color #28ae7b:

\qquad\begin{aligned} 5a &< -45\\ \\ \dfrac{5a}{\green{5}} &< \dfrac{-45}{\green{5}}\\ \\ a &< \purple{-9}\\ \end{aligned}

5a

5

5a

a

<−45

<

5

−45

<−9

​Hint #33 / 4

To graph the inequality a < \purple{-9}a<−9a, is less than, start color #9d38bd, minus, 9, end color #9d38bd, we first draw a circle at \purple{-9}−9start color #9d38bd, minus, 9, end color #9d38bd. This circle divides the number line into two sections: one that contains solutions to the inequality and one that does not.

Since the solution uses a less than sign, the solution does not include the point where a= \purple{-9}a=−9a, equals, start color #9d38bd, minus, 9, end color #9d38bd. So the circle at \purple{-9}−9start color #9d38bd, minus, 9, end color #9d38bd is not filled in.

Because the solution to the inequality says that a < \purple{-9}a<−9a, is less than, start color #9d38bd, minus, 9, end color #9d38bd, this means that solutions are numbers to the left of \purple{-9}−9start color #9d38bd, minus, 9, end color #9d38bd.

Hint #44 / 4

The graph that represents the solution of the inequality a < \purple{-9}a<−9a, is less than, start color #9d38bd, minus, 9, end color #9d38bd is shown in

Alexandra [31]3 years ago
3 0

a < -9

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    5*a+18-(-27)<0  

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  5a + 45  =   5 • (a + 9)  

Equation at the end of step  1  :

Step  2  :

2.1    Divide both sides by  5  

Solve Basic Inequality :

2.2      Subtract  9  from both sides

           a < -9

You might be interested in
Find the distance between the two points. (-5,5) (1,-2)​
makkiz [27]

Answer:

The distance between the points is 9.219544457292887

Step-by-step explanation:

7 0
2 years ago
PLEASE HELP ASAP <br> Which angle is important using the SAS postulate?
Leokris [45]
2,3 I think I’m not sure
7 0
3 years ago
Solve each quadratic equation. Show your work.<br> x^2 + 3x = 10
Oxana [17]
x^{2} +3x=10
x^{2} +3x-10=0
x^{2} +5x-2x-10=0
 x(x+5)-2(x+5)=0 
(x-2)(x+5)
x=2, x=-5
6 0
3 years ago
Read 2 more answers
20 POINTS for anyone that can help!
ANTONII [103]

Answer:

ABCD is a square and a rectangle, just graph the points to see the shape it makes

4 0
3 years ago
Identify the graph of 3i (See figures).
iren2701 [21]
Any complex number can be written in fallowing form:
Z = x + yi

When drawing complex numbers as point on x,y coordinate system we can use variables x and y to represent our coordinates in x y coordinate system.

Our complex number is:
Z = 3i which means
x = 0 and y = 3
x is real part of complex number and we draw it on x axis (real number axis) and y is imaginery part and we draw it on y axis (imaginery axis)

answer is point with coordinates (0,3) Graph 1
6 0
2 years ago
Read 2 more answers
Other questions:
  • Write a word problem that can be solved by using 2×5÷5
    10·2 answers
  • A state lottery randomly chooses 7 balls numbered from 1 through 45 without replacement. You choose 7 numbers and purchase a lot
    10·1 answer
  • The sum of 38 and twice a number is 24
    12·1 answer
  • Ross drives 210 miles in 3 hours. If Ross continues to drive at the same rate, how many miles can he drive in 9 hours?
    8·2 answers
  • A particular type of cell increases by 75% in number every hour. Find the number of cells present at the end of 12 hours if ther
    12·1 answer
  • Is -2/3 and -0.8 greater than, less than, or equal to?
    12·1 answer
  • A machine that fills bottles on an assembly line does so according to a normal distribution, where the mean amount of liquid pou
    10·1 answer
  • Please answer fast and correct
    14·2 answers
  • Jacob is renting an auger (used to drill holes for posts). On Home Depot's website, the charge is $65 plus $7 per hour. At Lowes
    12·1 answer
  • The sales tax rate is 8% . What is the total cost for a soccer ball which cost $25
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!