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3 years ago

"If x = y, then x + 4 = y + 4" represents the ________ property of equality.

1 answer:

8 0

“If x = y, then x + 4 = y + 4” represents the additive property of equality. This means the same number is added on both sides of the equal sign.

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A ship is anchored off a long straight shoreline that runs north and south. From two observation points 16 miles apart on shore,

ELEN [110]

D - the shortest distance from the ship to the shore.
d / ( 17 - x ) = tan 32° = 0.62487
d / x = tan 53° = 1.32704
d = 0.62487 ( 17 - x )
d = 1.32704 x
0.62487 ( 17 - x ) = 1.32704 x
10.62279 - 0.62487 x = 1.32704 x
x = 10.62279 : 1.95191
x = 5.44226 miles
d = 5.44226 · 1.32704
Answer:
d = 7.222 miles

6 0

3 years ago

Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.

podryga [215]

Answer:

Explanation:

1. Cost of each liter of yellow paint:

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

2. Cost of each liter of blue paint:

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

3. Cost of each liter of green paint.

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint: 3 liter × £4.8 / liter = £14.4

========== ========

5 liters green paint: 5 liter £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

4. Profit

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 = 35.08% = 35%

4 0

3 years ago

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function? The graph of f(x) passes

alina1380 [7]

Answer:

f(x) is a one to one function.That maps out one function to another ,and it therefore passes both the vertical and horizontal I ine test

7 0

2 years ago

Read 2 more answers

What is 12/25 as a percent

mart [117]

12/25 is 48% becuase 12/25 is alao 48/100 because 12 x 4= 48 and 25 x 4= 100.

7 0

3 years ago

Read 2 more answers

Find the slope of the line containing the pair of points. (6,5) and (0,0)

GarryVolchara [31]

Answer: 5/6

Step-by-step explanation:

Use slope formula of y2-y1/x2-x1. So here it doesn’t matter which is which so I did (6,5) x1 and y1 and (0,0) x2 and y2

So plugging it in it would be 0-5/0-6 = -5/-6 which simplifies to 5/6

7 0

1 year ago