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
aliina [53]
2 years ago
13

The sum of a number times 9 and 21 is at most -25.

Mathematics
1 answer:
madreJ [45]2 years ago
4 0

Answer:

x>= -46/9 (x greater than or equal to -46/9)

Step-by-step explanation:

when translating the question, at most means that it is less than or equal to the value being named, therefore the equation is 9x+21<= -25

to begin solving we subtract 21 from both sides and get 9x<=-46

then when we divide by 9 we have to flip the less than sign because we have to flip it if we multiply or divide.

This gives us the answer, x>=-46/9 which does not simplify any further

You might be interested in
3^2 • 3^-8 • 3^0<br> i need help with this asap
pantera1 [17]

Steps to solve:

3^2 • 3^-8 • 3^0

~Apple exponent rule [ a^b * a^c = a^b+c ]

3^2-8+0

~Simplify

3^-6

~Use exponent rule [ a^-b = 1/a^b ]

1/3^6

~Simplify

1/729

Best of Luck!

6 0
2 years ago
Read 2 more answers
A river flows due south at 4 mi/h. A swimmer attempting to cross the river heads due east swimming at 2 mi/h relative to the wat
Inessa05 [86]

Answer:

\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h

Step-by-step explanation:

velocity of river with respect to ground = 4 mi/h south

\overrightarrow{V_{R,G}}=4(\widehat{-j})

Velocity of swimmer with respect to river = 2 mi/h east

\overrightarrow{V_{S,R}}=2(\widehat{i})

According to the formula of relative velocity

\overrightarrow{V_{S,R}}=\overrightarrow{V_{S,G}}-\overrightarrow{V_{R,G}}

2\widehat{i}=\overrightarrow{V_{S,G}}+4\widehat{j}

Where, V(S,G) be the velocity of swimmer with respect to ground, it is true velocity of swimmer.  

\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h

5 0
3 years ago
How does statement reason work? Follow up question, how do I know which reason fits which statement? Another question, how do I
mina [271]
<h2>Explanation:</h2>

<em>Statement/Reason</em> is a method of presenting your logical thought process as you go from the "givens" in a problem statement to the desired conclusion. Each <em>statement</em> expresses the next step in the solution process. It is accompanied by the <em>reason</em> why it is true or applicable.

For example, if you have an equation that says ...

... x + 3 = 5

Your next "statement" might be

... x + 3 - 3 = 5 - 3

The "reason" you can make that statement is that the <em>addition property of equality</em> allows you to add the same quantity to both sides of an equation without violating the truth of the equality. You know this because you have studied the properties of equality and how they relate to the solution of equations.

In geometry (where you're more likely to encounter statement/reason questions), you know the statements you're allowed to make because you have studied the appropriate postulates and theorems. The "reason" is generally just the name of the applicable postulate or theorem. The "statement" is the result of applying it to your particular problem.

For example, if you have ∠ABC and ∠CBD, you might want to say (as part of some problem solution) ...

... m∠ABC + m∠CBD = m∠ABD

The reason you can say this is the <em>angle addition postulate</em>, which you have studied. It will tell you that the measures of non-overlapping angles with a common side and vertex can be added to give the measure of the angle that includes them both. (Many such postulates seem obvious, as this one does.)

_____

<em>Side comment on geometric proofs</em>

As you go along in geometry, you study and develop more and more theorems that you can use to find solutions to problems. Sometimes, you're required to use a restricted subset of the ones you know in order to prove others.

As an example, in some problems, you may be able to use the fact that the midline of a triangle is parallel to the base; in other problems, you may be required to prove that fact.

I sometimes found it difficult to tell which theorems I was allowed to use for any given problem. It may help to keep a list that you can refer to from time to time. Your list would tell you the name of the theorem, axiom, or postulate, and what the meaning of it is, and where it might be applied.

_____

<em>Which reason fits which statement?</em>

The "reason" is telling how you know you can make the statement you made. It is anwering the question, "what allows you to make that statement?"

<em>How do I form true statements?</em>

The sequence of statements you want to make comes from your understanding of the problem-solving process and the strategy for solution you develop when you analyze the problem.

Your selection of statements is informed by your knowedge of the properties of numbers, order of operations, equality, inequality, powers/roots, functions, and geometric relationships. You study these things in order to become familiar with the applicable rules and properties and relationships.

A "true" statement will be one that a) gets you closer to a solution, and b) is informed by and respects the appropriate properties of algebraic and geometric relations.

In short, you're expected to remember and be able to use all of what you have studied in math—from the earliest grades to the present. Sometimes, this can be aided by remembering a general rule that can be applied different ways in specific cases. (For me, in Algebra, such a rule is "Keep the equal sign sacred. Whatever you do to one side of an equation, you must also do to the other side.")

4 0
3 years ago
Find the distance between the point (-6, 7) and (-1, -2)
Anton [14]

(-5,9) because -6—1=-6+1 which equals -5 and 7—2=7+2 which equals 9

8 0
3 years ago
The confidence interval based on the two-sample design is wider because there is considerable variation in mileage between the c
vovikov84 [41]

Answer:

The confidence interval based on the paired design is wider because there is little variation in mileage between the cars.

Step-by-step explanation:

The sample size randomly collected is matched sample and since the confidence interval is based on the paired design is large and wide. There is small variation between the mileage of the two cars indicating the cars have mileage based on the fuel.

5 0
3 years ago
Other questions:
  • 300% increase of 25<br><br> (Pls include steps)
    8·1 answer
  • Input Output Table 1<br> Input Output<br> 13 3<br> 14 4<br> ? 5<br> 16 6<br> 17 7
    14·1 answer
  • My professor showed us in class today how to use ode45 to solve a differential equation numerically. i would like to use it on m
    12·1 answer
  • Assume that f is a one-to-one function.
    10·1 answer
  • If f (1) =4 and f(4)= f (n-1)-4 then find the value of f(4)
    8·1 answer
  • What is Y=-6x+2 ????????
    13·1 answer
  • Question 4
    13·1 answer
  • Help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    6·1 answer
  • Need help with numbers 58 and 60
    6·1 answer
  • I need help with this
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!