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
oee [108]
3 years ago
7

The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 6 inches. If the length must

be 1.5 times the height, what should each dimension be?
Hint: Let x represent one of the dimensions, then define the other dimensions in terms of x.
Mathematics
1 answer:
love history [14]3 years ago
4 0
H = x, L = 1.5 x;  
L + W + H = 6
x + 1.5 x + W = 6
W = 6 - 2.5 x
Dimensions of the camera in terms of x:
x,  1.5 x,  6 - 2.5 x.
V = L x W x H
V = x * 1.5 x * ( 6 - 2.5 x ) = 9 x² - 3.75 x³
V ` = 18 x - 11.25 x² ( V max is when V` = 0 )
18 x - 11.25 x² = 0
x ( 18 - 11.25 x ) = 0
11.25 x = 18
x = 18 : 11.25
x = 1.6
The dimensions are:
L = 2.4
W = 2.0
H = 1.6
You might be interested in
Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old
erik [133]

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

3 0
3 years ago
a landscaping company delivers soul and bags to its customers they deliver 4,000 pounds of soil if each bag holds 16 pounds of s
Murljashka [212]

Answer:

250 bags

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please answer with proof/work I give points
Phoenix [80]

Answer:

H. 8.874 hours

Step-by-step explanation:

There is a seven, that has the value of 7/100. 7/100 as a decimal is .07 because there is a 7 in the hundredths place. There has to be a number that contains 7/100, or a value in the hundredths place, and that is 8.874.

Hope this helps!

3 0
3 years ago
Read 2 more answers
What is the median of 7,3,4,7,5,6,5,5,4​
kolezko [41]

Your median is 5 because that is the number that is mentioned the most.

A median is a number that i said the most.

And in the pic your median is 7.

Hope this helps you :0

4 0
2 years ago
Which of the following shows the best communicative property of addition ?
kumpel [21]

Answer:

In the given options, 4+5 = 5+4 shows the best commutative property.

Step-by-step explanation:

One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.

Commutative property can be applied on addition, subtraction and multiplication.

<u>Commutative property of Addition:</u>

Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a

In the given options, 4+5 = 5+4 shows the best commutative property.

3 0
3 years ago
Other questions:
  • 720,026<br>- 97.652<br>plz unbundle 1 ten thousand to make 1 ten thousands and 10 thousands ​
    10·1 answer
  • What is the algebraic express:<br><br>8 divided by the cube of y
    9·2 answers
  • 20 points! I would really like some help! :) (Question attached below)
    8·1 answer
  • I catfished someone and I was being so nice I don’t think I’ve ever been that nice to someone the point is that imma Kermit (mem
    9·1 answer
  • The measure of ac = 7, mbac = 80°, mabc = 50°, the measure of nm = 7, mlnm = 80°, and mnlm = 50°. do the measurements indicate t
    12·1 answer
  • May anyone help me on this <br> Write your answer using simplest form in all problem
    13·2 answers
  • Mount Everest is over 2.9 × 10 4 feet tall. In standard form, that is
    6·1 answer
  • What is the domain of this relation? { (2, 4), (5, -3), (4, 8), (-2, 8) }
    11·1 answer
  • What figure is a dilation of Figure A by a factor of 2?
    7·1 answer
  • Describe the distribution of the data and if the mean or median would be a better measure of center for each. Include outliers.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!