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Kitty [74]
3 years ago
12

Vince worked 675 hours in 15 weeks. At what rate did he work in hours per week?​

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

45 hours a week

Step-by-step explanation:

Ok, so we know that he worked 675 hours in 15 weeks.

So all we need to do is divide the hours by the amount of weeks, which is 15:

675/15= 45

So he worked 45 hours a week!

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What is the surface area of this prism?
Zigmanuir [339]
Let's find the area of each shape that makes up the prism.  Let's first start with the triangles.

There are two identical triangles on both ends of the prisms. They have a height of 12 and a base 18. Let's find the area of both of the triangles.
12×18=216
216 is the area of both triangles. Each triangle has an area of 108 though.
Let's find the area of the two rectangles.

There are two identical rectangles that are 30 m by 15 m. Let's find the area of both.
30×15=450×2=900
So, the area of both rectangles together is 900.
Let's find the area of the rectangle that acts as the base in the picture.

There's only one and it's 30 m by 18 m.
30×18=540
Let's add everything together.

540+900+216
1440+216
1656

So, the surface area is 1656 m².
7 0
3 years ago
The cost, C dollars, of hiring a taxi is given by the formula C=2.00+320n, where n is the number of tenths of a mile driven. Wha
Ainat [17]

Answer:

$14.80

Step-by-step explanation:

I'm assuming you meant to put 3.20 since $320 a mile would be ridiculous.

C(n)=2.00+3.20n

If n = 4 miles we have:

C(4)=2+3.20(4)

C(4)=2+12.80

C(4)=14.80

So the cost of the taxi is $14.80.

8 0
3 years ago
What is the solution for <br> -2(x-5)=4
tiny-mole [99]
The answer to your question is x=3
6 0
3 years ago
Read 2 more answers
-2(x – 3) - 2<br> simplify the expression
Inessa [10]

Answer:

-2x+4

Step-by-step explanation:

-2(x-3)-2

-2x+6-2

-2x+4

4 0
3 years ago
When electricity (the flow of electrons) is passed through a solution, it causes an oxidation-reduction (redox) reaction to occu
oee [108]

Answer:

a. 135 g

b. 60.6 min

Step-by-step explanation:

a. What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.

The chemical equation for the reaction is given below

Cu²⁺(aq) + 2e⁻ → Cu(s)

We find the number of moles of Cu that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 28.5 A and t = time = 4.00 h = 4.00 × 60 min/h × 60 s/min = ‭14,400‬ s

So, n = It/F = 28.5 A × ‭14,400‬ s/96485 C/mol = ‭410,400‬ C/96485 C/mol = 4.254 mol

Since 2 moles of electrons deposits 1 mol of Cu, then 4.254 mol of electrons deposits 4.254 mol × 1 mol of Cu/2 mol = 2.127 mol of Cu

Now, number of moles of Cu = n' = m/M where m = mass of copper and M = molar mass of Cu = 63.546 g/mol

So, m = n'M

= 2.127 mol × 63.546 g/mol

= 135.15 g

≅ 135 g to 3 significant figures

b. How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)?

The chemical equation for the reaction is given below

Au⁺(aq) + e⁻ → Au(s)

We need to find the number of moles of Au in 37.1 g

So, number of moles of Au = n = m/M where m = mass of gold = 37.1 g and M = molar mass of Au = 196.97 g/mol

So, n = m/M = 37.1 g/196.97 g/mol = 0.188 mol

Since 1 mol of Au is deposited  by 1 moles of electrons, then 0.188 mol of Au deposits 0.188 mol of Au × 1 mol of electrons/1 mol of Au = 0.188 mol of electrons

We find the time it takes to deposit 0.188 mol of electrons that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 5.00 A and t = time

So, t = nF/It

= 0.188 mol × 96485 C/mol ÷ 5.00 A

= ‭18173.30‬ C/5.00 A

= 3634.66 s

= 3634.66 s × 1min/60 s

= 60.58 min

≅ 60.6 min to 3 significant figures

6 0
3 years ago
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