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Nina [5.8K]
3 years ago
14

Help! Factor the expressions. x2 + 62x + 120 =

Mathematics
2 answers:
Lesechka [4]3 years ago
8 0
(X+60)(x+2) is the answer
Gnesinka [82]3 years ago
6 0

Answer:

(x + 60)(x + 2)

Step-by-step explanation:

Given

x² + 62x + 120

Consider the factors of the constant term (+ 120) which sum to give the coefficient of the x- term (+ 62)

The factors are + 60 and + 2, since

60 × 2 = 120 and 60 + 2 = 62, thus

x² + 62x + 120 = (x + 60)(x + 2)

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The admission fee is $1.50 for children and $4.00 for adults. If 2700 people enter and $7800 is collected how many children and
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Number of children attended is 1200 and number of adults attended is 1500

<h3><u>Solution:</u></h3>

Given that,

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Let "a" be the number of adults attended

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Number of children attended + number of adults attended = 2700

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Also given that $7800 is collected

Number of children attended x Admission fee for each children + number of adults attended x Admission fee for each adult = 7800

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Let us solve eqn 1 and eqn 2 to find values of "a" and "c"

From eqn1,

a = 2700 - c ----- eqn 3

Substitute eqn 3 in eqn 2

1.5c + 4(2700 - c) = 7800

1.5c + 10800 - 4c = 7800

-2.5c = -3000

c = 1200

Therefore from eqn 3,

a = 2700 - 1200

a = 1500

Therefore number of children attended = c = 1200

number of adults attended = a = 1500

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