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astraxan [27]
4 years ago
11

Order 3/8,3/4,1/2,5/6 from least to greatest

Mathematics
2 answers:
anyanavicka [17]4 years ago
7 0
To order these, we need to get all of the to a common denominator. 

3*3 = 9
8*3 = 24

9/24

3*6 = 18
4*6 = 24

18/24

1*12 = 12
2*12 = 24

12/24

5*4 = 20
6*4 = 24

20/24

Now, analyze these fractions and compare their numerators.

20/24 , 12/24 , 18/24 , 9/24

The least:  9/24
Greatest: 20/24

Final answer:   

3/8 , 1/2 , 3/4 , 5/6

klasskru [66]4 years ago
6 0
To solve this, it is easiest to find the least common multiple of the denominators which is 24. Now we can rewrite our fractions.
\frac{3}{8}=\frac{9}{24}
\frac{3}{4}=\frac{18}{24}
\frac{1}{2}=\frac{12}{24}
\frac{5}{6}=\frac{20}{24}

Now these fractions can be put in order:
\frac{9}{24}, \frac{12}{24}, \frac{18}{24}, \frac{20}{24}

Reduce and you have your answer.
\frac{3}{8}, \frac{1}{2}, \frac{3}{4}, \frac{5}{6}
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An investment of $8500 increases in value by 4.5% every year. How long until the investment
riadik2000 [5.3K]

Answer:

16 years

Step-by-step explanation:

Given data

Principal= $8500

Rate= 4.5%

Final amount=  $17,323

The expression to find time in compound interest is given as

t= ln(A/P)/r

substitute

t= ln(17323/8500)/0.045

t= ln(2.038)/0.045

t=0.711/0.045

t= 15.8 years

Hence the total time is about 16 years

6 0
3 years ago
Cash payment is 2,695.00 I borrow money for car my monthly payments are 122.00 a month for 30months how much would u have saved
shutvik [7]

Answer:

965

Step-by-step explanation:

7 0
3 years ago
Evaluate f(t)=-2t^2+ 1 for f(-3). PLEASE HELP I BEG YOU!!!!!!!!!!!
choli [55]

Answer:

f(-3)=-17

Step-by-step explanation:

→ Substitute in t = -3 into f(t)=-2t^{2} +1

f(-3)=-2*-3^{2} +1

→ Simplify

f(-3)=-2*9 +1

→ Simplify

f(-3)=-18 +1 ⇔ f(-3)=-17

6 0
3 years ago
9. What is the vertex of the function? f(x) = 3x² - 8x + 10​
Delvig [45]

Answer:

The vertex of the function is (1.333, 4.667)

Step-by-step explanation:

1. Calculate -b / 2a. This is the x-coordinate of the vertex.

2. simply plug -b / 2a into the equation for x and solve for y.

Y = 3x^{2}  - 8x + 10\\Compare with the form of   y = ax^{2} + bx + c\\So that means a = 3, b = -8, and c = 10.

Calculate -b/2a:

X = -(-8)/2(3)

X = 8/6

This is equal to 1.33 recurring

Plug 8/6 for x and solve for y:

Y = 3x^{2} - 8x + 10

Y = 3(\frac{8}{6})^{2} - 8(\frac{8}{6}) + 10

Y = \frac{48}{9} - \frac{64}{6} + 10\\

This is equal to 4.66 reccuring.

7 0
2 years ago
Health club a charges 100.00 membership fee plus 25.00 per plus 25.00 per month
Snowcat [4.5K]

Answer:

Month 5 the cost will be the same

Step-by-step explanation:

Make to equations from the given information

Let y be the cost, and let x be the number of months

Club A:  y = 25x + 100

Club B:  y = 20x + 200

It wants to know when the cost will be the same, so set the 2 equations equal to each other and solve..

25x + 100 = 20x + 200

5x = 100              (subtract 20x and 100 from both sides)

  x = 20                (divide both sides by 5)

So after 5 months the cost will be equal,

5 0
3 years ago
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