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
kvasek [131]
3 years ago
15

Solve the inequality -4x - 15 > 5

Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

Answer:

x < - 5

Step-by-step explanation:

Given

- 4x - 15 > 5 ( add 15 to both sides )

- 4x > 20

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity

x < - 5

You might be interested in
Someone help me asap​
Feliz [49]

Answer: b > 13

Step-by-step explanation: b= 14 and 14 is larger than 13. So using the greater than symbol is correct.

5 0
3 years ago
Read 2 more answers
The rate of change of the mass, A, of salt at time t is proportional to the square of the mass of salt present at time t. Initia
Brums [2.3K]

Answer:

(a) -dA/dt = kA², A₀ = 10

(b) A =10/(1+ kt)

(c) t > 60 h

Step-by-step explanation:

(a) Find the IVP

A differential equation with an initial condition y₀ = f(x₀) is called an initial value problem.

The rate of decrease of A is proportional to A², and A₀ = 10, so the IVP is

-dA/dt = kA², A₀ = 10

(b) Solve the IVP

\begin{array}{rcl}-\dfrac{\text{d}A}{\text{d}t} & = & kA^{2}\\\\\dfrac{\text{d}A}{A^{2}} & =&-k\text{d}t\\\\-\dfrac{1}{A} & = & -kt + C\\\\\dfrac{1}{A} & = & kt + C\\\\\end{array}

Apply the initial condition: A₀ = 10 (when t = 0)

\dfrac{1}{10} = C\\\\\dfrac{1}{A} = kt + \dfrac{1}{10}\\\\\dfrac{10}{A} = 10kt + 1\\\\\mathbf{A} = \mathbf{\dfrac{10}{1+ kt}}

(c) Find the time when A(t) < 1

(i) Find the value of k (A₁₀ = 4)

\begin{array}{rcl}A& =&\dfrac{10}{1+ kt}\\\\4 & =& \dfrac{10}{1 + 10k}\\\\4 + 40 k & = & 10\\\\40k & = & 6\\k & = & 0.15\\\end{array}\\\\\mathbf{A} =\mathbf{ \dfrac{10}{0.15t + 1}}

(ii) Find t when A < 1

\begin{array}{rcl}A(t) & < & 1\\\dfrac{10}{0.15t + 1} & < & 1\\\\10 & < & 0.15t + 1\\9 & < & 0.15t\\t & > & 60\\\\\end{array}\\\mathbf{A < 1} \textbf{ when }\mathbf{ t >60}

The figure below shows the graph of A vs t.

6 0
3 years ago
Kevin reads 5 pages in 15 minutes at this rate how many pages will he read in 45 minutes​
Aleksandr-060686 [28]

Answer:

15 pages

Step-by-step explanation:

45/15=3

3x5=15

4 0
3 years ago
Mitch ordered several baseball hats for 12.65 each and paid $3.99 for shipping. If Mitch spent a total of $130.49, how many base
jek_recluse [69]

Answer:

10

Step-by-step explanation:

Price of baseball hats without shipping = $130.49 - $3.99 = $126.50

Number of baseball hats he ordered: $126.50 ÷ $12.65 = 10

5 0
3 years ago
which population will be larger after 30 years: population x that doubles it's self every year, or population y that increases b
Lisa [10]
Population y that increases by a million people every year
6 0
3 years ago
Other questions:
  • I need to give an equation for an absolute value function that has a minimum. How do I determine that it has a minimum?.
    11·1 answer
  • What is the first step to simplify the expression: 64 ÷ 42 – [2(4 – 6)2]?
    8·2 answers
  • A man and his wife go shopping. They begin with $200 total. First, they stop for lunch, spending $15.00. Then, they buy three it
    10·1 answer
  • What’s the answer ???
    10·2 answers
  • Q1 [5]
    12·1 answer
  • Referring to my data the test tubes that had the most noticeablechange in color was test tube #2 which contained the cabomba in
    5·1 answer
  • A safe has a 4 digit lock code that does not include zero as a digit the total number of outcomes is
    9·1 answer
  • Find the slope of the line that passes through (2, 7) and (8, 8).
    11·2 answers
  • The governor of Florida would like to estimate the mean age of all Florida residents. To do so, he randomly selects 500 Florida
    8·2 answers
  • Which choice is equivalent to the expression below?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!