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algol13
3 years ago
5

5 1/8+5/6+5/12=6.375 what is 6.375 as a fraction? A 6 3/4. B.6 3/8. C6 3/12. D 6 3/24 please help

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0
B. 6 3/8
How do we get this? Simple:
6.375--->We already know that 6 will be the whole number in the mixed fraction.

We then move on to represent the decimal part as the fraction. 375 will be the numerator. The denominator depends on how many  decimal places we have (3 in this case, since there are 3 numbers after the period--375). Each decimal place represents a 10 (or a 0 after the 1). So we get that our denominator will be a 1000.

We get the following fraction
6 375/1000

We simplify. Let's start by dividing numerator and denominator by 5:
6 75/200

Let's divide by 5 again:
6 15/40

Let's divide by 5 again:
6 3/8

Or we could have divide by 125 from the  get go and get the same results.

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90 POINTS! HELP PLEASE!!!! I need answers to a-e thank you.
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Answer:

(a)Equation representing amount of lights on Monday is 2 x  + 3 y = 44

(b)Equation representing amount of lights on Tuesday is 5 x  + 3 y = 56

(c) Bob uses 4 stands of light on Bushes

    and Bob uses 12 strands of lights on trees.

Step-by-step explanation:

Let x = strands of lights on bushes.

​Let y = strands of lights on trees.

Bob used ​44 strands of light to decorate 2 bushes and 3 trees on Monday.

So, the number of light on 2 bushes  = 2x

and  the number of light on 3 tress  = 3 y

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Also, On Tuesday, ​Bob used 56 strands of lights to decorate 5 bushes and 3 trees.

So, the number of light on 5 bushes  = 5x

and  the number of light on 3 tress  = 3 y

⇒ 5 x  + 3 y = 56

Now, solving the system of equations:

2 x  + 3 y = 44

5 x  + 3 y = 56

Subtract equation (2) from (1), we get

2 x  + 3 y  - (5 x  + 3 y)  = 44   - 56

or, 2x - 5x = - 12

or, 3x  =  12 ⇒ x =  12/3  = 4    or x  = 4

Using x  = 4 in 2x + 3y = 44

2(4)  + 3y  =  44

or, 3y = 44- 8 = 36

or y = 36 /3 = 12 or y  = 12

So, the value of x  = 4, and y = 12

Hence, here Bob uses 4 stands of light on Bushes

and Bob uses 12 strands of lights on trees.

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3 years ago
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Answer:

9 units²

Step-by-step explanation:

Area of triangle= ½ × base × height

The base here is 3 units and the height is 6 units.

Area of traingle

= ½(3)(6)

= 9 units²

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