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Ulleksa [173]
3 years ago
7

Solve (26/57)=(849/5x)

Mathematics
2 answers:
weeeeeb [17]3 years ago
7 0
Step 1 <span>26/57 = (849/5)*x // - (849/5)*x

Step 2 </span><span>26/57-849/5*x = 0 // - 26/57

step 3 </span>x = -26/57/(-849/5)
<span>
Step 4 </span><span>x = 130/48393</span>
Gnesinka [82]3 years ago
4 0
<span>Cross multiply 26*5x = 849 * 57 130 x = 48393 x = 48393 / 130 x = 372.25</span>
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Mathematicians, please check my work
kodGreya [7K]
The answer that you said is right. I totally agree with you.
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3 years ago
What is the value of 6x (power of 2) when x=1.5
Yanka [14]
So you’d put 1.5 by the 6 so it’d be 6(1.5) to the power of 2. then you’d do 1.5*1.5=2.25*6=13.5

7 0
3 years ago
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A line is drawn so that it passes through the points (-3, -1) and (4, 2).
marishachu [46]

Answer:

(A) \boxed{\bold{y=\frac{3}{7}x+\frac{2}{7}}}

(B) \boxed{\bold{2 \ = \ \frac{3}{7} * \ 4 \ + \ \frac{2}{7}  }}

Explanation:

(A) Slope: y = mx + b

m = 3/7

b = 2/7

Slope = \bold{\frac{y_2-y_1}{x_2-x_1}}

\bold{\left(x_1,\:y_1\right)=\left(-3,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:2\right)}

M = \bold{\frac{2-\left(-1\right)}{4-\left(-3\right)}: \ \frac{3}{7} }

Y intercept

\bold{y=\frac{3}{7}x+b}

Plug in \bold{\left(-3,\:-1\right)\mathrm{:\:}\quad \:x=-3,\:y=-1}

\bold{-1=\frac{3}{7}\left(-3\right)+b}

Isolate B

\bold{-1=\frac{3}{7}\left(-3\right)+b}

b = \bold{\frac{2}{7} }

(B) 4 = x, 2 = y

2 = 3/7 * 4 + 2/7

5 0
3 years ago
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Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u
soldier1979 [14.2K]

x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}

\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}

\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}

Therefore:

\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]

Recall that at t=25, p(25)=\dfrac { 5800 } {13} \approx 446.15

Therefore:

\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0
3 years ago
Some friends of yours collected books for a book drive. They collected 64 Fiction, and 48 Non-Fiction books. They asked you to m
Cloud [144]

As all of the bundles have the same content inside, so assuming that there is x number of Fiction books and y number of Non-fiction books in each bundle.

Let n be the total number of bundles that my team can send.

There are 64 Fiction books, so

nx=64 ...(i)

Or x=64/n ...(ii)

also, there are 48 Non-Fiction books, so

ny=48 ...(iii)

Or y=48/n ...(iv)

Observing that the numbers x, y, and n are counting numbers and from equations (i) and (iii), n is the common factor of 64 and 48.

The possible common factors of 64 and 48 are,

n=1,2,4,8, and 16.

So, my team can send 1,2,3,4,8 or 16 bundles of books.

Now, from equations (ii) and (iv),

For n=1:

x=64/1=64

y=48/1=48

So, for 1 bundle the number of Fiction and Non-fictions books are 64 and 48 respectively.

For n=2:

x=64/2=32

y=48/2=48

So, for 2 bundles, the number of Fiction and Non-fictions books are 32 and 24 respectively.

For n=4:

x=64/4=16

y=48/4=12

So, for 4 bundles, the number of Fiction and Non-fictions books are 16 and 12 respectively.

For n=8:

x=64/8=8

y=48/8=6

So, for 8 bundles, the number of Fiction and Non-fictions books are 8 and 6 respectively.

For n=16:

x=64/16=4

y=48/16=3

So, for 16 bundles, the number of Fiction and Non-fictions books are 4 and 3 respectively.

8 0
3 years ago
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