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3 years ago

Find the LCD for each pair of fractions

1 answer:

7 0

3/4, 5/8 = 6/8, 5/8
3/4, 1/12 = 9/12, 1/12
1/6, 5/24 = 4/24, 5/24
2/9, 1/6 = 4/18, 3/18
1/4, 3/7 = 7/28, 12/28
1/12, 7/24 = 2/24, 7/24
2/5, 1/2 = 4/10, 5/10
1/16, 3/8 = 1/16, 6/16
8/9, 1/5 = 40/45, 9/45

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There are 3 items you wish to buy. These items cost 4.99 15.99 and 30.99 you have two options option a: each item is discounted

zaharov [31]

Answer: option 2 is the cheapest

Step-by-step explanation:

Option 1 :

10% of 4.99 = 0.499

10% off 4.99 =

4.99 - 0.499 = 4.491

10% of 15.99 = 1.599

10% off 15.99 =

15.99 - 1.599 = 14.391

10% of 30.99 = 3.099

10% off 30.99=

30.99 - 3.099 = 27.891

Total = 4.491 + 14.391 + 27.891 = 46.773

Option 2 :

Most expensive item = 30.99

20% of 30.99 = 6.198

20% off 30.99=

30.99 - 6.198 = 24.792

Total = 24.792 + 15.99 + 4.99 = 45.772

Therefore, option 2 is cheaper by 1.001.

Hope this helped :)

5 0

3 years ago

element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample

pashok25 [27]

Answer:

The percentage rate of decay per year is of 3.25%.

The function showing the mass of the sample remaining after t is $A(t) = 80(0.9675)^t$

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 21 years, its mass decreases by half.

This means that $A(21) = 0.5A(0)$ . We use this to find r, the percentage rate of decay per year.

$A(t) = A(0)(1-r)^t$

$0.5A(0) = A(0)(1-r)^{21}$

$(1-r)^{21} = 0.5$

$\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}$

$1 - r = 0.5^{\frac{1}{21}}$

$1 - r = 0.9675$

$r = 1 - 0.9675 = 0.0325$

The percentage rate of decay per year is of 3.25%.

Given that the initial mass of a sample of Element X is 80 grams.

This means that $A(0) = 80$

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 80(1-0.0325)^t$

$A(t) = 80(0.9675)^t$

The function showing the mass of the sample remaining after t is $A(t) = 80(0.9675)^t$

8 0

3 years ago

Read 2 more answers

Collins Middle School has 245 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the

Agata [3.3K]

Answer:

700

Step-by-step explanation:

7 0

3 years ago

Help pls. This is proportional relationships in a graph?

madam [21]

Answer:

Yes, this is proportional, if that's what your asking.

Step-by-step explanation:

3 0

3 years ago

Choose the correct description of the graph of the compound inequality x − 3 < −11 or x + 5 greater than or equal to 14.

adoni [48]

X - 3 < -11
x < -11 + 3
x < - 8

x + 5 > = 14
x > = 14 - 5
x > = 9

open circle on -8, shading to the left.....closed circle on 9, shading to the right

7 0

3 years ago