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ruslelena [56]
2 years ago
12

The ages of two sisters are consecutive even integers. Twice the age of the youngest exceeds the oldest by 8. How old is the you

ngest sister?
Mathematics
2 answers:
dezoksy [38]2 years ago
8 0

Answer:

10 years old

Step-by-step explanation:

Let's say the age of the younger sister is x. Then the age of the older sister must be x + 2 because the ages are consecutive <em>even</em> numbers.

"Twice the age of the youngest exceeds the oldest by 8" means that we multiply x by 2 and set that equal to (x + 2) + 8:

2x = (x + 2) + 8

2x = x + 10

x = 10

So, the youngest sister is 10 years old.

Radda [10]2 years ago
8 0

Answer:

10 ?

Step-by-step explanation:

you gotta add the 8 + 2 = 10

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My pigg y bank has only pennies and nicklels in it , and 2/7 of the coins are nickel If i remove 84 pennies then 1/3 of the reme
zubka84 [21]

Answer:

There are 105 pennies in the piggy bank.

There are 42 nickels in the piggy bank.

Step-by-step explanation:

there are:

p pennies in the piggy bank

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Then we can define T, the total number of coins, as:

T = p + n

We know that 2/7 of the total number of coins are nickels.

This can be written as:

n = (2/7)*T = (2/7)*(n + p)

And if we remove 84 pennies, 1/3 of the remaining coins are pennies.

This can be written as:

p - 84 = (1/3)*(n + p - 84)

Then we have a system of two equations:

n = (2/7)*(n + p)

p - 84 = (1/3)*(n + p - 84)

Let's solve the system, to do it, we first need to isolate one of the variables in one of the equations.

We can isolate n in the first one, to get:

n = (2/7)*(n + p) = (2/7)*n + (2/7)*p

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n = (7/5)*(2/7)*p = (2/5)*p

n = (2/5)*p

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Let's solve this for p

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3*p - (7/5)*p = 252 - 84

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(8/5)*p = 168

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n = (2/5)*p = (2/5)*105 = 42

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3 years ago
Denise has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
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IRISSAK [1]

Answer:

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Step-by-step explanation:

This is probably too late but I'll do it anyway.

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Your total chance of drawing 2 green cards is

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Step-by-step explanation:

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