1) Redueix termes semblants:

Mr.Johnson imported some cartons of noodles.There were 28 packages of in each carton.he then sold 10 of noodles for $5 if he rec

iragen [17]

Answer:

The total number of cartons did he sale is 20 .

Step-by-step explanation:

Given as :

The total number package in each carton = 28

The total amount received after sale = $ 280

The cost of 10 noodles = $ 5

Let the total number of cartoon sale = x

According to question

∵ The number of noodles costing $5 is 10

so,The number of noodles costing $1 is $\frac{10}{5}$ = 2

∴ The number of noodles costing $280 = 2 × 280 = 560

Now, since there are 28 packages in 1 carton

So . the number of carton did he sale = $\dfrac{\textrm total number of noodles}{\textrm total package in each cartoon}$

Or, The number of carton did he sale = $\frac{560}{28}$ = 20

Hence The total number of cartons did he sale is 20 . Answer

6 0

3 years ago

Cos3x=4cos^3x-3cosx prove

IgorC [24]

$\bf cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)
\\\\\\
\textit{also recall that }cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
1-2sin^2(\theta)\\
\boxed{2cos^2(\theta)-1}
\end{cases}
\\\\\\
and\qquad sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\
-------------------------------$

$\bf cos(3x)=4cos^3(x)-3cos(x)\\\\
-------------------------------\\\\
cos(3x)\implies cos(2x+x)\implies cos(2x)cos(x)-sin(2x)sin(x)
\\\\\\\
[2cos^2(x)-1]cos(x)-[2sin(x)cos(x)]sin(x)
\\\\\\
2cos^3(x)-cos(x)~~~~-~~~~2sin^2(x)cos(x)
\\\\\\
2cos^3(x)-cos(x)~~~~-~~~~2[1-cos^2(x)]cos(x)
\\\\\\
2cos^3(x)-cos(x)~~~~-~~~~[2cos(x)-2cos^3(x)]
\\\\\\
2cos^3(x)-cos(x)~~~~-~~~~2cos(x)+2cos^3(x)
\\\\\\
4cos^3(x)-3cos(x)$

6 0

3 years ago

Pleas help me (and pls don't ban my question this time Brainly)

Evgesh-ka [11]

Answer:

d = 7.2

Step-by-step explanation:

12 + d = -4.8

subtract 12 from both sides and you get

d = 7.2

5 0

3 years ago

Read 2 more answers

In the year 2001, a total of 7.2 million passengers took a cruise vacation. The global cruise industry has been growing at 9% pe

g100num [7]

To find the number of passengers for the next year (2002), take the prior value (7.2 million) and multiply it by 1.09. This will give the predicted value for 2002. In this case, it would be (7,200,000 * 1.09 = 7.848 million). This would show that there is a predicted rise of 0.648 million passengers for the year 2002.

7 0

3 years ago

Another math problem I cant solve.

Mamont248 [21]

Answer: x = 7, y = -3

Step-by-step explanation:

3y = 26 - 5x --> added 5x to both sides to get: 5x + 3y = 26

Elimination method (I am going to eliminate "x":

5x + 3y = 26 → 6(5x + 3y = 26) → 30x + 18y = 156

6x + 7y = 21 → -5(6x + 7y = 21) → -30x - 35y = -105

-17y = 51

÷-17 ÷-17

y = -3

Now, input y = -3 into one of the original equations to solve for "x":

3y = 26 - 5x

3(-3) = 26 - 5x

-9 = 26 - 5x

-9 -26 = -5x

-35 = -5x

7 = x

7 0

4 years ago