LMNP is a rectangle. Find the value of x. LN=8x-7 and MP=2x+5

the function f is defined by f(x)=150/x-z where z is a constant. find z if the value of f at x=1/5 is equal to 250

malfutka [58]

Answer:

x = -1 $\frac{1}{20}$

Step-by-step explanation:

f( $\frac{1}{5}$ ) = 120, therefore we can create this equation:

120 = 150 ÷ ( $\frac{1}{5}$ - z)

cross-multiply to get: 24 - 120z = 150

-120z = 126

z = -1 $\frac{3}{60}$

8 0

2 years ago

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A recipe for sparkling water juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice

Alexxx [7]

Answer:

You would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

Step-by-step explanation:

1 1/2 ---------> 3/4

x --------------> 9

We clear the value of x:

x = ((9) / (3/4)) * (1 1/2)

Rewriting we have:

x = ((9) * (4/3)) * (1 1/2)

x = (36/3) * (1 1/2)

x = (12) * (1 1/2)

x = (12) * (3/2)

x = 18

7 0

2 years ago

The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes

kifflom [539]

We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

$\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47$