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 take 20 / 12 for the inches in a foot and get 1.6 then times by 500 and get 833.3
First statement is correct. If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.
Given,
The rate of reading of a novel by Sasha = 0.8 pages per minute
The rate of reading of autobiography by Sasha = 0.5 pages per minute
The reading requirement of Sasha's English class = atleast 75 pages per week
The given equation: 0.8n + 0.5a ≥ 75
n is the number of minutes she reads the novel
a is the number of minutes she reads the autobiography
Now, let's check the statements:
Statement 1: If Sasha reads her novel for 94 minutes, she meets the minimum reading requirement without reading any of the autobiography.
That is,
0.8 × 94 + 0.5 × 0 ≥ 75
75.2 ≥ 75
This statement satisfies the equation.
Other 4 statement didn't satisfy the equation.
So, first statement is correct.
Learn more about rate of reading here:
brainly.com/question/4459849
#SPJ1
Step-by-step explanation:
Let,
- Money received by Jan = 4x
- Money received by Jane = 9x
- Money received by Jello = 6x
According to the question,
→ Money received by Jan = $200
→ 4x = $200
→ x = $200 ÷ 4
→ x = 50 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀… ( 1 )
Now,
→ Money received by Jane = 9x
→ Money received by Jane = 9($50)
→ <u>Money received by Jane = $450</u> [Ans]
And,
→ Money received by Jello = 6x
→ Money received by Jello = 6($50)
→ <u>Money received by Jello = $300</u> [Ans]
Covert to a common denominator to help:
A LCD is 24.
12/24, 20/24, and 15/24
So 12/24, 15/24, 20/24
Convert back into their original denominators:
1/2, 5/8, 5/6.
F.
