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
ra1l [238]
3 years ago
6

Which of the following is a solution for the inequality 2x < 9?

Mathematics
2 answers:
Arlecino [84]3 years ago
7 0

Answer:

C) x = 4

Step-by-step explanation:

To solve this, divide 2 from both sides to get x < 4.5. This means that x has to be less than 4.5. "x" as 4 is the only correct answer because 4 is less than 4.5.

Hope it helps and is correct!

yan [13]3 years ago
5 0

Answer:

x=4

Step-by-step explanation:

2*<u>4.5</u>=9

9<9 incorrect

2*<u>6</u>=12

12<9 incorrect

2*<u>4</u>=8

8<9 <u>correct</u>

You might be interested in
What is the equation of the line that passes through the point (-3, 2) and
JulsSmile [24]

Answer:

The answer is x = -3.

Step-by-step explanation:

4 0
3 years ago
Clyde rents a tuxedo for several days. Let d represent the number of additional days Clyde uses the tuxedo. Write an algebraic e
yaroslaw [1]

Answer:

Total cost = f + ad

Step-by-step explanation:

Given:

Number of days = d

Fixed charges = f

Cost per day = a

Find:

Equation

Computation:

Total cost = fixed cost + (Number of days)(Cost per day)

Total cost = f + ad

3 0
3 years ago
What is one factor of 2x^2-32y^2
serg [7]
Here you have two terms connected by the "subtraction" symbol.

The two coefficients are 2 and 32, and one factor common to both of these is 2.     Thus, <span>2x^2-32y^2 = 2(x^2-16y^2).

You could stop here.  But it'd make more sense to continue, since x^2-16y^2 is easy to factor:

The three factors of </span><span>2x^2-32y^2  are 2, x-4 and x+4</span>
4 0
3 years ago
Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl
Vikki [24]

Answer:

Height: 3/2 inches

Length:  12 inches

Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

The height of the box by cutting squares off :x

  • The new length of the cardboard = 15 -2x (because we cut from 4 corners)
  • The new width of the cardboard = 7 -2x (because we cut from 4 corners)

The new volume of it is:

V = (15 -2x) (7 -2x) x

<=> V = 4x^3 -44x^2 +105x

To maximum volume, we use the first derivative of the volume

\dfrac{dV}{dx} = 0

<=> 12x^2-88x+105=0

<=> \left(2x-3\right)\left(6x-35\right) = 0

<=> 2x -3 = 0 or 6x -35 = 0

<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

\dfrac{d^2V}{dx^2} = 24x -88

  • If  x = 3/2, we have:

\dfrac{d^2V}{dx^2}= 24(3/2) -88  = -52

  • If x = 35/6, we have:

\dfrac{d^2V}{dx^2} = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

So the dimensions (in inches) of the box is:

Height: 3/2 inches

Length: 15-2(3/2) = 12 inches

Width: 7 - 2(3/2) = 4 inches

5 0
3 years ago
A manufacturer produces cherry, peppermint, cinnamon, and orange-flavored gum. Each flavor is available with sugar or sugar-free
Semenov [28]

Answer: The total number of different types of labels will the manufacturers have to produce = 24.

Step-by-step explanation:

Given: Choices for flavours = 4

Choices for sugar = 2  {either sugar or sugar free}

Choices for the qunatity = 3

By Fundamental counting principle,

Total number of different types of labels will have to produce = (Choices for flavors) x (Choices for sugar)x (Choices for the quantity )

= 4 x  2x 3

=24

Hence, the total number of different types of labels will the manufacturers have to produce = 24.

4 0
3 years ago
Other questions:
  • You invest $5000 in a savings account that earns 4.5% APR simple interest for 6 years. (
    6·1 answer
  • Estimate the measure of the angle<br> formed by the hands of a clock at time 10:40
    12·1 answer
  • X y
    13·2 answers
  • If f(x) = {ln x for 0 &lt; x less than or equal to 2
    10·1 answer
  • 9 + 8r = −7 − 4(−r + 3)
    15·1 answer
  • At the snack bar, a hot dog costs $1.50 and a slice of pizza costs $2. What percent of the cost of a slice of pizza is a cost of
    13·2 answers
  • 3 over 15 space cross times space 13 over 15 space equals
    15·1 answer
  • If x<br><img src="https://tex.z-dn.net/?f=%20x%20%20%3D%20%20%5Csqrt%5B%3F%5D%7B5%20%20%7D%20%20%2B%20%20%5Csqrt%7B3%7D%20%20%2B
    15·2 answers
  • 10PTS<br> pls help me on this math problem and pls explain how you did it.
    9·2 answers
  • Plssss help will mark brainliest
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!