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sveticcg [70]
2 years ago
13

Multiplying to Fractions 

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
3 0

Answer:

B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.

Step-by-step explanation:

For A: A is clearly false because you can multiply any fraction and it doesnt matter what the denominator is.

For B: The first part is correct, which is that to multiply two fractions, they dont have to have like/common denominators, the explanation part is also correct. When we multiply we multiply the numerator to the numerator and the denominator to the denominator.

For C: C is false because the first part says yes and we know that you can multiply any 2 fractions regardless of denominators.

For D: For D the first part is correct however, the explanation section is false you dont multiply the numerator to the denominator.

For E: You don't have to find the equivalent fraction to multiply because you can do that afterward.

I hope this helps, have a blessed day! :D

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56% of ___ is 84.<br> Explain your method.
AnnyKZ [126]
150% of 84 i believe lol .
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3 years ago
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Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the num
Aleksandr-060686 [28]

Answer:

  • 10 dimes and 4 quarters

Step-by-step explanation:

  • Number of dimes = d, each d = 10 c
  • Number of quarters = q, each q = 25 c
  • Total = $2 = 200 c

<u>Equations according the given:</u>

  • 10d + 25q = 200
  • d = q + 6

<u>Solve for q by substitution:</u>

  • 10(q + 6) + 25q = 200
  • 10q + 60 + 25q = 200
  • 35q = 140
  • q = 140/35
  • q = 4

<u>Find the value of d:</u>

  • d = 4 + 6 = 10

Nathaniel has 10 dimes and 4 quarters

8 0
3 years ago
10. A perfect circle measuring 38 feet across was discovered on Brickell Avenue in Miami in 1998. Known as the Miami Circle at B
vivado [14]

Using an exponential function, it is found that the Tequesta settlement is 1845 years old.

<h3>What is an exponential function?</h3>

The exponential equation for a decaying amount of a substance is given by:

A(t) = A(0)e^{-rt}

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.

A(t) = A(0)e^{-rt}

0.5A(0) = A(0)e^{-5730r}

e^{-5730r} = 0.5

\ln{e^{-5730r}} = \ln{0.5}

5730r = -\ln{0.5}

r = -\frac{\ln{0.5}}{5730}

r = 0.00012096809

Hence, the equation is:

A(t) = A(0)e^{-0.00012096809t}

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).

A(t) = A(0)e^{-0.00012096809t}

0.8A(0) = A(0)e^{-0.00012096809t}

e^{-0.00012096809t} = 0.8

\ln{e^{-0.00012096809t}} = \ln{0.8}

-0.00012096809t = \ln{0.8}

t = -\frac{\ln{0.8}}{0.00012096809}

t = 1845

The Tequesta settlement is 1845 years old.

You can learn more about exponential functions at brainly.com/question/25537936

8 0
2 years ago
Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write each an
liraira [26]

Answer:

2/5, 0.4, 40%

7/10, 0.7, 70%

1/2, 0.5, 50%

1/2, 0.5, 50%

4/5, 0.8, 80%

3/5, 0.6, 60%

3/10, 0.3 ; 30%

Step-by-step explanation:

Sample space = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

P(less Than 5) :

Required = (1, 2, 3, 4) = 4 observations

P(less than 5) = 4 / 10 = 2 / 5 = 0.4 = 40%

Greater than 3) = (4, 5,6,7,8,9,10) = 7 observations

P greater Than 3) = 7/10 = 0.7 = 70%

Odd = (1,3,5,7,9) = 5

P(odd) = 5 / 10 = 1/2 = 0.5 = 50%

(even) = (2,4,6,8,10) = 5

P(even) = 5 / 10 = 1/2 = 0.5 = 50%

Not a multiple of 4 = (1,2, 3,5,6,7,9,10) = 8

P(not A multiple of 4) = 8/10 = 4/5 = 0.8 = 80%

not 5, 6, 7, or 8 = (1,2,2,4,9,10).= 6

P(not 5, 6, 7, or 8) = 6 / 10 = 3/5 = 0.6 = 60%

Divisible by 3 = (3, 6, 9) = 3

P(divisible by 3). = 3/10 = 0.3 = 30%

4 0
2 years ago
I need help
dangina [55]

Answer:

a)  x =3 and x=5

c)  x =-1 and x = \frac{-7}{3}

i)  x =0 and  x = \frac{-9}{2}

Step-by-step explanation:

a)

Given that the quadratic equation

    x² - 8x +15 =0

The factors of 15 = 5 × 3

   x² - 5x -3x +15 =0

  x(x -5) -3(x-5) =0

  (x-3)(x-5) =0

x =3 and x=5

c)

  3 x² + 10 x +7 =0

⇒   3x² + 3x + 7x +7 =0

⇒   3x (x +1) +7(x+1) =0

⇒  (x+1) ( 3 x +7) =0

⇒  x =-1 and x = \frac{-7}{3}

i)

     2 x ² + 9 x =0

⇒ x( 2 x + 9) =0

⇒ x =0 and 2 x = -9

⇒ x =0 and  x = \frac{-9}{2}

4 0
3 years ago
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