The answer is 7
because the equation is |(3)(-2)-1|
When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten
<h3>How to write the number in standard form?</h3>
The number expression is given as:
(2tens 1 one) x 10
2 tens is represented as:
2 * 10
1 one is represented as:
1 * 1
So, the number expression can be rewritten as:
(2tens 1 one) x 10 = (2 * 10 + 1 * 1) x 10
Evaluate the product
(2tens 1 one) x 10 = (20 + 1) x 10
Evaluate the sum
(2tens 1 one) x 10 = (21) x 10
Evaluate the product
(2tens 1 one) x 10 = 210
When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten
Using the above steps as a guide, we have:
- (5 hundreds 5 tens) * 10 ⇒ 5 thousands and 5 hundreds ⇒ 5500
- (2 thousands 7 tens) / 10 ⇒ 2 hundreds and 7 units ⇒ 207
- (4 ten thousands 8 hundred) / 10 ⇒ 4 thousands and 8 tens ⇒ 4080
Read more about standard form at
brainly.com/question/19169731
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Answer:
The least common multiple of 8 and 12 is 24
Explanation:
Find and list the multiples each number until the first common multiple is found.
This is the lowest common multiple .
Multiples of 8
8, 16, <u>24</u>, 32,40
Multiples of 12
12,<u>2</u><u>4</u>, 36,48
Therefore,
LCM of 8 and 12 is 24
Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
2. A florist can make a grand arrangement in 18 minutes 
hour, then he can make y arrangements in 
hours.
A florist can make a simple arrangement in 10 minutes 
hour, so he can make x arrangements in 
hours.
The florist can work only 40 hours per week, then
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines 
and 
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
Answer:
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Step-by-step explanation:
Given
Volume of a box = length × breadth × height= l×b×h
In this case the box have a square base. i.e l=b
Volume V = l^2 × h
The surface area of a square box
S = 2(lb+lh+bh)
S = 2(l^2 + lh + lh) since l=b
S = 2(l^2 + 2lh)
Given that the box is open top.
S = l^2 + 4lh
And Surface Area of the box is 1200cm^2
1200 = l^2 + 4lh ....1
Making h the subject of formula
h = (1200 - l^2)/4l .....2
Volume is given as
V = l^2 × h
V = l^2 ×(1200 - l^2)/4l
V = (1200l - l^3)/4
the maximum point is at dV/dl = 0
dV/dl = (1200 - 3l^2)/4
dV/dl = (1200 - 3l^2)/4 = 0
3l^2= 1200
l^2 = 1200/3 = 400
l = √400
I = 20cm
Since,
h = (1200 - l^2)/4l
h = (1200 - 20^2)/4×20
h = (800)/80
h = 10cm
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
