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3 years ago

What is 7/21 in its simplest form

2 answers:

5 0

The answer is 1/3 because 7 can go into 21 so then 7 goes into 7 one time and then it goes into 21 three times so then you would get 1/3

kicyunya [14]3 years ago

4 0

<u />7/21 = 1/3 because both the denominator and numerator can be divided by 7.

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Find the equation of the line that is perpendicular to y =

Rom4ik [11]

Assuming you meant y=3/4x-3, the answer is y=-4/3x-3

3 0

3 years ago

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A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate

yulyashka [42]

Answer:

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

$\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}$

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

$C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)$

$C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)$

At C'(x) = 0

$\dfrac{12500}{x^2} = 20$

$\dfrac{12500}{20} = x^2$

$x^2= 625$

$x = \sqrt{625}$

x = 25

$C'' (x) = -12500 \times \dfrac{-2}{x^3} +0$

$C'' (x) = \dfrac{25000}{x^3}$

where; x = 25

$C'' (x) = \dfrac{25000}{25^3}$

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0

3 years ago

Can someone answer this

Arada [10]

Answer:

Step-by-step explanation:

If the number is a multiple of 3 but not of 6, the number must be odd. The only odd multiple of 3 between 17 and 25 is 21, meaning that this is the answer. Hope this helps!

8 0

3 years ago

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Calculate the value of the expression (Explain in words)<br><br> -30-(-20)

oee [108]

Answer:

-10

Step-by-step explanation:

when you subract a negative the minus signs negate each other

8 0

3 years ago

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

Anton [14]

Answer:

Given the graph $f(x) = \frac{1}{3}x -2$ and $g(x) = \frac{1}{3}x + 3$

We have to find the value of k;

Since, g(x) = f(x) +k

$\frac{1}{3}x+3 = \frac{1}{3}x-2 +k$

Subtract $\frac{1}{3}x$ from both sides we get;

$3 = -2 +k$

Add 2 to both sides we get;

$3+2 = -2 +k +2$

Simplify:

$5 = k$

k = 5

Therefore, the value of k = 5

3 0

3 years ago

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