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Papessa [141]
4 years ago
5

The fraction of a dime that is made up of copper is 12/16. Write this fraction as a decimal

Mathematics
1 answer:
Valentin [98]4 years ago
4 0

Answer:

0.75

Step-by-step explanation:

we have the fraction

\frac{12}{16}

Simplify

Divide by 4 both numerator and denominator

\frac{12/4}{16/4}

\frac{3}{4}

To convert a fraction as a decimal, divide the numerator by the denominator

so

\frac{3}{4}=0.75

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The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

6 0
3 years ago
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emmasim [6.3K]

Answer:

correct

Step-by-step explanation:

x means up and down and it is at -3

y means side to side and it is at -7

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