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Fiesta28 [93]
3 years ago
10

Simplify the following expression. (19x + 4y) + (49x + 32y)

Mathematics
1 answer:
Valentin [98]3 years ago
4 0

Answer:

68x + 36y

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

(19x + 4y) + (49x + 32y)

<u>Step 2: Simplify expression</u>

  1. Combine like terms (x):                    68x + 4y + 32y
  2. Combine like terms (y):                    68x + 36y
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2. the student to faculty ratio at a small college is 17:3 the total of students and faculty is 740 how many faculty members are
balu736 [363]
<span>#2) 629 students and 111 faculty. #3) 1259 skiers and 2518 snowboarders.

Explanation<span>:
#1) Let S be the number of students and F be the number of faculty. S/F = 17/3.
We know that S+F = 740; subtracting F from both sides, we have S=740-F. We can use this to rewrite the proportion:
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Cross multiply:
3(740-F)=17(F).

Using the distributive property, we have
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Add 3F to both sides:
2220-3F+3F=17F+3F
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Divide both sides by 20:
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Cross multiply:
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Subtract x from both sides
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x=1259.

There were 1259 skiers. This means there were 1259+1259=2518 snowboarders.</span></span>
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