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Darina [25.2K]
2 years ago
12

Solve for x: 2(x-3)+5=4-7(2x-1)

Mathematics
1 answer:
Marat540 [252]2 years ago
3 0
Solve for x by simplifying both sides of the equation , then isolating the variable 
your answer is x=3/4
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Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w
tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1:  Finding the Number of hours is need to type 4160 words :

= 1\frac{20}{60} hours

\\\\=1\frac{1}{3} hours

\\\\=\frac{4}{3} hours

So it takes  \frac{4}{3} hours to type 4160 word

Step 2 :  Finding the Number of hours is needed to type 1 word  

= \frac{4160}{\frac{4}{3}}

=4160 \times \frac{3}{4}

= 3120 words per hour

Step 3 :  Finding the Number of hours is needed to type 16000 words

=\frac{\text{ total number of words}} {\text{ number of words written per hour}}

Substituting the values

= \frac{16000}{3120}

=  5.1282 hours

Step 4 :  Finding the cost for recreating the manual.

= number of hours  x cost per hour

=   5.1282 x $17.65

=  90.51

5 0
3 years ago
Convert 0.0000001 to a power of 10.<br><br> 107<br> 10−7<br> 106<br> 10−6
valina [46]
Since you have to move the decimal point the the right by 7 places to get the decimal point after the one.  You must multiply by 1/10 seven times, which is the same as:

10^-7
4 0
3 years ago
Read 2 more answers
What is the equation of the quadratic graph with a focus of (1 ,3) and a directrix of y=1?
zimovet [89]
Check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

\bf \textit{parabola vertex form with focus point distance}\\\\&#10;\begin{array}{llll}&#10;4p(x- h)=(y- k)^2&#10;\\\\&#10;\boxed{4p(y- k)=(x- h)^2}&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ( h, k)\\\\&#10; p=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;h=1\\&#10;k=2\\&#10;p=1&#10;\end{cases}\implies 4(1)(y-2)=(x-1)^2\implies 4(y-2)=(x-1)^2&#10;\\\\\\&#10;y-2=\cfrac{1}{4}(x-1)^2\implies y=\cfrac{1}{4}(x-1)^2+2

4 0
3 years ago
HELP... PLEASE ........ PLEASE
solong [7]
Will its 12.75 because you add 3+9 =12 and you just put the 75 that's it
8 0
2 years ago
A farmer makes a pen for his animals with a total perimeter of 46 feet. (see diagram)
ratelena [41]
Yes I love this problem so good
5 0
3 years ago
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