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Andrews [41]
4 years ago
12

Please help me with the attached question.

Mathematics
1 answer:
loris [4]4 years ago
5 0

Step-by-step explain  work problem out

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Help please if anyone knows
larisa86 [58]
<u>Part A
</u>
<u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, \frac{3}{5} and \frac{2}{3} equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

<u>Part B
</u>
<u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

1 \frac{3}{5} \\ \\  (5*1)+3 =8 \\  \\  \frac{8}{5}  \\  \\  \\ \\  1 \frac{2}{3} \\  \\ (3*1)+2=5 \\  \\  \frac{5}{3}  &#10;

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

\frac{8}{5} *3 =   \frac{24}{15} \\  \\  \frac{5}{3} *5 =  \frac{25}{15}

Now, we can simply add our numerators.

25+24=49

We know that he needs \frac{49}{15} gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

\frac{49}{15} \\  \\ 49 / 15 = 3(Remainder: 4) \\  \\  3\frac{4}{15}

Using that logic, we can see that the painter needs exactly 3 \frac{4}{15} gallons of paint.    
4 0
3 years ago
Two thirds of a number is 46. Find the number
zheka24 [161]
2/3x = 46
2x = 46x3
2x= 138
x=138/2
x= 69

8 0
3 years ago
Please help ASAP!!!!!!!!!
algol [13]

Answer:

A = 23.6 units^2

Step-by-step explanation:

Let the base be 8 (as shown).

Find the height of the triangle:   Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees.  The side "opposite" this 80-degree angle is the height of the triangle:

   

                               height      

sin 80 degrees = ---------------

                                    6

and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.

The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:

A = (1/2)(8 units)(5.91 units), or

                                                       A = 23.64 units^2, or A = 23.6 units^2

3 0
4 years ago
Solve for the missing item in the following. (Do not round intermediate calculations. Round your answer to the nearest cent.)
iogann1982 [59]

9514 1404 393

Answer:

  $1904.76

Step-by-step explanation:

The interest formula is ...

  I = Prt . . . . interest on principal P at rate r for t years

Solving for P, we find ...

  P = I/(rt) = 200/(0.07·1.5) = 200/0.105 ≈ 1904.76

The principal amount was $1904.76.

7 0
3 years ago
If x2 = 20, what is the value of x?
ArbitrLikvidat [17]
The correct answer is the second option: plus or minus square root of 20
Hope this helped :)
3 0
3 years ago
Read 2 more answers
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