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Dimas [21]
3 years ago
14

Determine the Value of x,y and z.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

x=9

y=16

z=12

Step-by-step explanation:

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A conductor is mapping a trip and records the distance the train travels over certain time intervals. time (hours) distance (mil
Alex73 [517]

Given:

Table of values.

The train travels at a constant speed.

To find:

The speed of train in miles per hour.

Solution:

From the given table consider any two points, i.e., (0.5,22.5) and (1,45).

The train travels at a constant speed. It means, there is a linear relationship between time and distance.

The average rate of change (Slope) of a linear relationship is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{45-22.5}{1-0.5}

m=\dfrac{22.5}{0.5}

m=\dfrac{225}{5}

m=45

So, average rate of change in distance with respect to time is 45.

Therefore, the speed of the train is 45 miles per hour.

8 0
2 years ago
José and Maris work for different car dealerships. José earns a monthly salary of $3,500 plus a 8% commission on sales. Maris ea
kaheart [24]

Answer: When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

Step-by-step explanation:

Let  x= Total sales

For José, monthly salary = $3,500

Commission percentage =  8% =0.08

Monthly earnings= Monthly salary + (Commission percentage) x (Total sales)

Monthly earnings= 3500 +0.08 x

For Maris, monthly salary = $3,900

Commission percentage =  6%

Monthly earnings= 3900 +0.06 x

When José's monthly earnings > Maris's monthly earnings

then, 3500 +0.08 x > 3900 +0.06 x

Subtract 3500 from both sides, we get

0.08 x > 400+0.06x

Subtract 0.06x from both sides, we get

0.02x>400

Divide both sides b 0.02

x> 20000

When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

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2 years ago
At what point do the lines represented by the equations y=3x+1 and y=−2x−8 intersect?
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The lines intersect at (-1.8,-4.4)
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2 years ago
A store is advertising a 25% off sale. Mikale purchases a swimming pool for $225. What was the original price of the pool?
DIA [1.3K]

Answer:

B

Step-by-step explanation:

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Simplify the remaining expression completely x^6y^4/xy^2
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Step-by-step explanation:

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2 years ago
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