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MA_775_DIABLO [31]
3 years ago
15

The perimeter of a rectangle can be found using the expression 2ℓ + 2w, where ℓ represents the length and w represents the width

. Determine the perimeter if ℓ = 6 units and w = 3 units.
Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

18

Step-by-step explanation:

2(6) + 2(3)

12 + 6 = 18

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The profit of a company receives is given by the expression 0.15(855p - 315) where p is the number of problems sold. Rewrite thi
Goryan [66]

The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.

<u><em>Explanation</em></u>

The profit of a company receives is given by the expression:  0.15(855p - 315)

Simplifying this expression using distributive property, we will get .....

0.15(855p - 315) \\ \\ = (0.15*855p)-(0.15*315)\\ \\ =128.25p-47.25

So, the simplified expression for profit will be:  128.25p-47.25

As p represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, <u>we need plug p=25 and p=150 separately into the above expression</u>.  

For p=25,  Profit =128.25(25)-47.25 = 3206.25-47.25= 3159

For p=150, Profit =128.25(150)-47.25 = 19237.50-47.25= 19190.25


5 0
3 years ago
What are three equivalent ratios for 5/45
Burka [1]
\frac{5}{45}=5:45\ and\ \frac{5}{45}=\frac{5:5}{45:5}=\frac{1}{9}\\\\\frac{5}{45}=\frac{1}{9}\to\boxed{1:9}\\\\\frac{5}{45}=\frac{1}{9}=\frac{1\cdot2}{9\cdot2}=\frac{2}{18}=\boxed{2:18}\\\\\frac{5}{45}=\frac{1}{9}=\frac{1\cdot3}{9\cdot3}=\frac{3}{27}=\boxed{3:27}\\\\\frac{5}{45}=\frac{1}{9}=\frac{1\cdot4}{9\cdot4}=\frac{4}{36}=\boxed{4:36}\\\vdots
7 0
3 years ago
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent.Find the single reduction the
Evgen [1.6K]

Answer:

40%  . The single reduction together is 40%.

Step-by-step explanation:

Let the bicycle cost is   x before reduced price.

First 25% is reduced  and again 20% further reduced.

Let the single reduction is y% if the two reduction together are equal.

Solution,

Case .1

reduction cost=x\times 25%%

=x\times 25/100

=x/4

The cost of bicycle after reduction of 25% is

=x-x/4=3x/4

cost of reduction further reduction of 20%      =3x/4\times 20%

=3x\times 20/(4\times 100)

=3x/20

The new cost of bicycle is further reduction of 20% is

=3x/4-3x/20

=\left ( 15x-3x \right )/20

=12x/20=3x/5

Case.2

if single reduction is done new cost of cycle is equal

x-x\times y%=3x/5

x\left ( 1-y/100 \right )=3x/5

\left ( 100-y \right )/100=3/5

100-y=60

y=40%

single reduction of a cycle is 40%

8 0
3 years ago
Does the graph represent y as a function of x?​
Dimas [21]

Answer:

yes

Step-by-step explanation: i think cause the line is crossing both of the x and y axis

6 0
3 years ago
Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper a
labwork [276]

Answer:

0.0032

Step-by-step explanation:

We need to compute e^{0.4} by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

e^{0.4} < e < 3

Therefore, the Taylor's Error Bound formula is given by :

$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$   , where $M=|F^{N+1}(x)|$

         $\leq \frac{3}{(3+1)!} |-0.4|^4$

         $\leq \frac{3}{24} \times (0.4)^4$

         $\leq 0.0032$

Therefore, |Error| ≤ 0.0032

4 0
3 years ago
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