please give me the answer

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers. Show ho

olya-2409 [2.1K]

Set up two equations.
s + 12 = l , s + l = 74 (these equations represent the problem)

s + (s + 12) = 74 plug in "l" to the second equation.

2s + 12 = 74 combine like terms.

2s + 12 - 12 = 74 - 12 subtract to isolate the variable

2/2s = 62/2 divide to isolate the variable.

s = 31. This means the smaller number is 31.

31 + 12 = 43. since the larger number is 12 more than the smaller, add 12.

l = 43 the larger number has a value of 43.

small number = 31
larger number = 43

hope this helps! :D

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Step-by-step explanation:

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Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)

Paha777 [63]

Answer:

$(1\frac{1}{15},3\frac{5}{12})$

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are $4 \frac{1}{3}$ and $-2\frac{1}{5}$ .

The y's are $3\frac{1}{6}$ and $3\frac{2}{3}$ .

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

$\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}$

Write as improper fractions:

$\frac{\frac{13}{3}+\frac{-11}{5}}{2}$

Division by 2 is the same as multiplying by 1/2:

$\frac{13}{6}+\frac{-11}{10}$

The least common multiple of 6 and 10 is 30. We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

$\frac{65}{30}+\frac{-33}{30}$

Now that the bottoms are the same we can write as one fraction:

$\frac{65+-33}{30}$

Simplify:

$\frac{32}{30}$

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

$1\frac{2}{30}$