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Alchen [17]
3 years ago
13

CE TASK

Mathematics
1 answer:
diamong [38]3 years ago
7 0

Determine how much money did the carpenter start with

The total money with the carpenter is $318.4

Given:

let

x = <em>total money with the carpenter</em>

<em>Bags of sand</em> = 7/8 of x

= 7/8x

<em>Money remaining</em> = x - 7/8x

= (8x-7x) / 8

= 1/8x

<em>Bags of bunting bags</em> = 1/2 of 1/8x

= 1/2 × 1/8x

= 1/16x

<em>Money left </em>= $19.90

<em>Total money = bags of sand + bag of bunting flag + money left</em>

x = 7/8x + 1/16x + 19.90

x = (14x + x) / 16 + 19.90

x = 15/16x + 19.90

x - 15/16x = 19.90

16x - 15x / 16 = 19.90

x/16 = 19.90

divide both sides by 1/16

x = 19.90 ÷ 1/16

= 19.90 × 16/1

= 318.4

Therefore, the total money with the carpenter is $318.4

Read more:

brainly.com/question/7852538

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3 years ago
What is the value represented by the digit 8 after 7,824 is divided by 10? help PLEASE 15 Point
8_murik_8 [283]

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Step-by-step explanation:

7824/10 = 782.4

The value represented by 8 is 80 or 8 tens.

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How much interest would be earned on a $3,200 deposit at 3.5% for 1 year?
Fynjy0 [20]

Answer:

Hey there!

I=PRT

I=3200(0.035)(1)

I=112

The interest is 112 dollars.

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5 0
3 years ago
Read 2 more answers
N ∆ABC, if sin A = and tan A = , then what is cos A?
leva [86]

Answer:hello :

tanA = sinA/cosA

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Step-by-step explanation:

8 0
3 years ago
Cos^2x+cos^2(120°+x)+cos^2(120°-x)<br>i need this asap. pls help me​
o-na [289]

Answer:

\frac{3}{2}

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

---------------------------------------------------------------

cos(120 + x) = cos120cosx - sin120sinx

                   = - cos60cosx - sin60sinx

                   = - \frac{1}{2} cosx - \frac{\sqrt{3} }{2} sinx

squaring to obtain cos² (120 + x)

= \frac{1}{4}cos²x + \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x

--------------------------------------------------------------------

cos(120 - x) = cos120cosx + sin120sinx

                   = -cos60cosx + sin60sinx

                   = - \frac{1}{2}cosx + \frac{\sqrt{3} }{2}sinx

squaring to obtain cos²(120 - x)

= \frac{1}{4}cos²x - \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x

--------------------------------------------------------------------------

Putting it all together

cos²x + \frac{1}{4}cos²x + \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x + \frac{1}{4}cos²x - \frac{\sqrt{3} }{2}sinxcosx + \frac{3}{4}sin²x

= cos²x + \frac{1}{2}cos²x + \frac{3}{2}sin²x

= \frac{3}{2}cos²x + \frac{3}{2}sin²x

= \frac{3}{2}(cos²x + sin²x) = \frac{3}{2}

                 

5 0
2 years ago
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