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Nitella [24]
4 years ago
11

Essential: Solve the proportions step by step ​

Mathematics
1 answer:
vazorg [7]4 years ago
6 0

Answer:

The value of r=\frac{-106}{47}

The value of x=\frac{83}{32}

Step-by-step explanation:

Given that,

A) \frac{2r-2}{7r+10} = \frac{9}{8}

Now,

\frac{2r-2}{7r+10} = \frac{9}{8}

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r=\frac{-106}{47}

B) \frac{x+4}{9} = \frac{3(x-2)-1}{5}

Now,

\frac{x+4}{9} = \frac{3(x-2)-1}{5}

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x=\frac{83}{32}

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Step-by-step explanation:

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"Two" : 2

"minus": -

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2-y

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3 years ago
The price of product A as a function of time is given by the function f(t). Similarly, the function g(t) represents the price of
jok3333 [9.3K]

Answer:

Step-by-step explanation:

Recall that a function f is concave up if it's second derivative is positive and it is concave down if it's second derivative is negative. Recall that the second derivative tell us how the first derivative is behaving. Thus, if the second derivative is positive, then the first derivative is increasing as the time passes. If the second derivative is negative, that means that the first derivative is decreasing as the time passes.

Consider the product A with a price function that is concave up. This means that the first derivative is constantly increasing. This means, that if the price of the product A is decreasing, it will decrease less and less until it starts to increase. If on the contrary the price is already increasing, it will keep on increasing at a higher rate.

Consider the product B with a price function that is concave down. This means that the first derivative is constantly decreasing. So, if the price is increasing, it will increase less and less until it starts decreasing, or if it is already decreasing it will keep decreasing at a higher rate

8 0
3 years ago
A gardener has a container with 6 1/5 ounces of liquid plant fertilizer on Sunday the gardener uses 2 1/2 ounces on a flower gar
sergey [27]
Amount of liquid plant fertilizer in the container that the gardener has = 6 1/5 pounds
                                                                                                               = 31/5 pounds
We already know that 1 pound = 16 ounce
Then
Amount of liquid plant fertilizer in the
container that the gardener has = (31/5) * 16 ounce
                                                    = 496/5 pounds                                                          
Amount of liquid plant fertilizer that the gardener uses on Sunday = 2 1/2 ounces
                                                                                                         = 5/2 ounces
Then
The amount of liquid plant fertilizer that are left= (496/5) - (5/2) ounces
                                                                           = (992 - 25)/10 ounces
                                                                           = 967/10 ounces
                                                                           = 96.7 ounces
So the total amount of liquid plant fertilizer left is 96.7 ounces.
4 0
3 years ago
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KonstantinChe [14]

Answer:

$12 is the price of a ticket

Step-by-step explanation:

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3 years ago
Given the function g(x) = 6^x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
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Section A and B
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7 0
4 years ago
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