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GuDViN [60]
2 years ago
10

Lilly and Rosie are sisters. The sum of their ages is 19 and the positive difference of their ages is 9. Set up a system of equa

tions involving Lilly’s age, L, and Rosie’s age, R, assuming that Lilly is the older child. Solve the system to find their ages.
Mathematics
1 answer:
likoan [24]2 years ago
7 0

Answer:

14

Step-by-step explanation:

The sum of their age is 19.

This means that when you add their ages together, it will be 19.

L+R=19

The positive difference of their age is 9.

It tells you that Lily is the older child.

Since the difference is a positive number, that means it would be Lily's age minus Rosie's age since Lily is older.

L-R=9

Now you have 2 equations that can be used to find their ages.

Start with the first equation.

L+R=19.

Solve for L.

Subtract R on both sides.

L=19-R

Now use the substitution method (replacing or "substituting" L with 19-R) for the next equation.

L-R=9

(19-R)-R=9

19-2R=9

-2R=-10

R=5

Rosie's age is 5.

Rosie's age is 5. Now use the first equation to find Lily's age.

L+5=19

L=14.

Lily's age is 14.

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16.5 hours

Step-by-step explanation:

The bicycle costs $240.  Eva already has $42.  She is making $12 per hour.

240 = 12x + 42

Solve for x to find out how many hours Eva needs to work to buy the bicycle.

240 = 12x + 42

240 - 42 = (12x + 42) - 42

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Step-by-step explanation:

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What is 32.5% as a fraction and decimal
m_a_m_a [10]
Decimal: 32.5 
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5 0
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Read 2 more answers
Can anyone help me with this please ??
valentinak56 [21]

The approximate size of Jorge's wrist is 8.5 inches.

<h3>What is defined by the term fraction?</h3>
  • Fractions represent parts of the whole or group of objects. A fraction is made up of two parts.
  • The number at the start of the line is referred to as the numerator. It specifies the number of equal parts of the whole as well as collection that are taken.
  • The denominator is the number just below line. It displays the total amount of equal parts into which the whole is divided or the total number of identical objects in a collection.

For the given question;

For average adults, the size of the wrist is 1/4 of the size of the waist.

The waist size of the Jorge is 34 inches.

Thus, to calculate the wrist size of Jorge, simply multiply the fraction 1/4 with 34.

= 34 × 1/4

= 8.5

Therefore, the wrist size of the Jorge is found as 8.5 inches.

To know more about the fraction, here

brainly.com/question/17220365

#SPJ13

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