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1 year ago

6

Suppose 3

" align="absmiddle" class="latex-formula"> - $\frac{a}{3b}$

1 answer:

pshichka [43]1 year ago

4 0

0 is the correct answer I think

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Joshua can purchase tile at one store for $0.99 per tile but he he will have to rent a tile saw for $25. At another store he can

Debora [2.8K]

Answer:

The number of tile for which the cost is same route to nearest tile is 49 .

Step-by-step explanation:

Given as :

The cost which Joshua will pay for tile at one store = $ 0.99 per tile + $ 25 for tile saw

The cost which Joshua will pay for tile at another store = $ 1.50 per tile only

Let The number of tile for which the cost is same route to nearest tile = n

So, According to question

$ 0.99 × number of tile + $ 25 = $ 1.50 × number of tile

or, $ 0.99 × n + $ 25 = $ 1.50 × n

or, $ 1.50 × n - $ 0.99 × n = $ 25

I.e 0.51 × n = $ 25

∴ n = $\frac{25}{0.51}$

I.e n = 49.01 ≈ 49

So, The number of tile for which the cost is same route to nearest tile = n = 49

Hence The number of tile for which the cost is same route to nearest tile is 49 . Answer

5 0

3 years ago

Meg rowed her boat upstream a distance of 32 mi and then towed back to the starting point. The total time of the trip was 18 hou

denpristay [2]

Answer: the average speed of the boat relative to the water is 9 mph

Step-by-step explanation:

Let x represent the speed of the boat.

The rate of the current was 7 mph,

Assuming the boat travelled against the current while going upstream, the total speed would be x - 7

Assuming the boat in the direction of the current while going downstream, the total speed would be x + 7

Time = speed × time

Since she travelled 32 miles upstream and 32 miles downstream, then,

Time taken to go upstream = 32/(x -7)

Time taken to go downstream = 32/(x + 7)

Since the total time of the trip was 18 hours, then

32/(x -7) + 32/(x + 7) = 18

Cross multiplying by (x - 7)(x + 7), it becomes

32(x + 7) + 32(x - 7) = 18[(x - 7)(x + 7)

32x + 224 + 32x - 224 = 18(x² + 7x - 7x - 49

32x + 32x = 18x² - 882

18x² - 64x - 882 = 0

Dividing through by 2, it becomes

9x² - 32x - 441 = 0

9x² + 49x - 81x - 441 = 0

x(9x + 49) - 9(9x + 49) = 0

x - 9 = 0 or 9x + 49 = 0

x = 9 or x = - 49/9

Since the speed of the boat cannot be negative, then x = 9

3 0

3 years ago

2/3 x 30=? simplify first

vekshin1

Simplify to 2/1 x 10 = 20.

4 0

3 years ago

Read 2 more answers

The recyclables have been sorted into plastic and glass. The number of plastic items is 30 less than nine times the number of gl

Colt1911 [192]

Answer:

B, 9

Step-by-step explanation:

Let g represent the number of glass items. Then the number of plastic items is (9g -30). If 85% of items are plastic, then 100%-85% = 15% of items are glass. The ratio of plastic to glass is ...

85%/15% = (9g -30)/g

17/3 = 9 -30/g . . . . simplify

30/g = 9 -17/3 = 10/3 . . . . . . add 30/g -17/3

g = 30(3/10) = 9 . . . . . . . . . . multiply by 3g/10

There are 9 glass items.

_____

<em>Additional comment</em>

The number of plastic items is 9(9) -30 = 51, and the total number of items is 51+9 = 60. The percentage of plastic items is 51/60 = 85%.

__

There are many other ways the equation(s) could be written, including using a system of two equations. For example ...

p = 9g -30
p/(p+g) = 0.85 . . . . . plastic is 85% of the total

6 0

2 years ago

Four equivalent expressions of 32+48

Sladkaya [172]

30 + 50
240/3
20*4
43 + 37

Essentially any equation that equals 80.

5 0

3 years ago