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
NemiM [27]
3 years ago
5

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0

9514 1404 393

Answer:

  (b)  5 inches

Step-by-step explanation:

A graphing calculator makes short work of the problem. No system of equations is needed.

The volume of the new prism is ...

  V = LWH

  450 = x(x+4)(2x)

  x(2x)(x+4) -450 = 0 . . . . . equation for graphing

The only real solution is x = 5.

The side length of the original cube was 5 inches.

KengaRu [80]3 years ago
3 0

Answer:

Step-by-step explanation:

new dimensions of prism: x by (x+4) by (2x).

volume = x(x+4)(2x) = 2x³ + 8x²

2x³ + 8x² = 450

2x³ + 8x² - 450 = 0

x³ + 4x² - 225 = 0

x = 5 in

You might be interested in
A box contains 3 red pens, 5 blue pens, and 9 green pens. Two pens are drawn out of the box without replacement. What is the pro
Snezhnost [94]
Since there is a total of 17 pens and 2 are removed then there is 15 left. the probability is 5/17 on the first draw and 4/16 (simplified is 1/4) on the second draw.
8 0
4 years ago
Sophie uses 18 beads to make a neckalace , 3/6 of the beads are purple
valentinak56 [21]

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many  beads are purple, multiply the total beads by the fraction of the beads that are purple

so

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

so

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

4 0
3 years ago
What are the of commons factors of 15 ,18 and 12
Viefleur [7K]
The common factors of 15, 18, and 12 are 1 and 3
7 0
3 years ago
Read 2 more answers
4. What is the experimental probability of flipping a head after<br> twenty flips of the coin?
kvasek [131]
1/2 x 20 = 10 is the answer
4 0
3 years ago
Read 2 more answers
3x+8=5x-20<br><br>what is x ?
Minchanka [31]

First you need to get x on one side so subtract 3x from both sides which will leave you with 8=2x-20. Next add 20 to both sides to get 28=2x. Then divide everything by 2 and you should get x = 14.

3 0
4 years ago
Other questions:
  • 0.08 divided by 50.048
    8·2 answers
  • In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the va
    10·1 answer
  • The function shown models the height (in feet) of a softball 1 seconds after it
    11·1 answer
  • Can somebody help me with this question. It’s due today. Please. Thank you!
    10·1 answer
  • There are 20 deer per 2 square miles In
    12·1 answer
  • A coffee table is on sale for 20% off the original price of $115. If there is a 7.5% sales tax, what is the final price of the c
    9·2 answers
  • The graph shows the volume (y) of a cup of water (in ml). The cup has a small leak and the volume of water is decreasing at a co
    13·2 answers
  • Please help and do a step by step thank you!
    10·1 answer
  • ¿Cuál es la probabilidad de que al lanzar un dado se obtenga un número impar y menor que 5?
    13·1 answer
  • For one of the three scatter plots, r=-0.83. Which one do you think it is? Explain.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!