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scoundrel [369]
3 years ago
9

Find the solution x/5 - 1/5 = x/3 + 1/4

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Answer:

x = - 27/8

x=-3\frac{3}{8}

Step-by-step explanation:

¹²⁾x/5 - ¹²⁾1/5 = ²⁰⁾x/3 + ¹⁵⁾1/4

12x - 12 = 20x + 15

- 12 - 15 = 20x - 12x

- 27 = 8x

x = - 27/8

x=-3\frac{3}{8}

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We first calculate the z-score corresponding to x = 1075 kWh. Given the mean of 1050 kWh, SD of 218 kWh, and sample size of n = 50, the formula for z is:
z = (x - mean) / (SD/sqrt(n)) = (1075 - 1050) / (218/sqrt(50)) = 0.81
From a z-table, the probability that z > 0.81 is 0.2090. Therefore, the probability that the mean of the 50 households is > 1075 kWh is 0.2090.
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4 years ago
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While your family is visiting Deep creek lake, you and your mother decide to go boating. The Rangers charge $6.50 per hour in ad
pickupchik [31]

The total cost is $43.5 and it is obtained from the equation c = 6.5n + 25

<u>Solution:</u>

Given that, while your family is visiting Deep creek lake, you and your mother decide to go boating.  

The Rangers charge $6.50 per hour in addition to $25.00 deposit to rent a canoe.  

If you wish to rent the canoe from 12:30 to 3:30 PM,  

We have to write and solve a linear equation to find the total cost to rent the canoe.

Now, we know that,

<em>total cost = charges + rent fee </em>

\text {Total cost }=\text { number of hours used } \times \$ 6.5 \text { per hour }+\$ 25

Let total cost be "c" and number of hours rented be "n"

\begin{array}{l}{c=n \times 6.50+25} \\\\ {c=6.5 n+25 \rightarrow(1)}\end{array}

Now, they used canoe from 12:30 to 3:30, which means 3 hours of time

So, put n = 3 in (1)  

c = 6.5(3) + 25

c = 19.5 + 25

c = 43.5

Hence, the total cost is $43.5 and it is obtained from the equation c = 6.5n + 25

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3 years ago
Which fraction is halfway between 1/2 and 1 1/4
kolbaska11 [484]

Answer:

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very simple just make them like terms and count ok

please mark me as brainlist as brainlist

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const2013 [10]

Answer:

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Step-by-step explanation:

The quadratic formula for the quadratic equation ax² + bx + c = 0:

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

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