Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Mathematics

2 answers:

ZanzabumX [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Temka [501]3 years ago

8 0

Answer:

<u>Admission prices are $3 per child and $4 per adult.</u>

Step-by-step explanation:

Let the admission prices for children = x and for adults = y

When the pool had 10 children and 37 adults, which brought in $178

10x + 37y = 178 ⇒(1)

When the pool had 15 children and 23 adults, which brought in $137

15x + 23y = 137 ⇒(2)

Multiplying eq.(1) by 3 ⇒ 30x + 111y = 534 ⇒(3)

Multiplying eq.(2) by 2 ⇒ 30x + 46y = 274 ⇒(4)

Find eq.(3) - eq.(4)

∴ 111y - 46y = 534 - 274

∴ 65y = 260

∴ y = 260/65 = 4

By substitution with y at eq.(1)

10x + 37 * 4 = 178 ⇒ solve for x

10x = 178 - 37*4 = 30

∴ x = 30/10 = 3

<u>So, Admission prices are $3 per child and $4 per adult.</u>

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Virty [35]

C. 4/7

Parallel lines have the same slope, so u must find the slope of line a
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5 0

3 years ago

Read 2 more answers

Please solve the answer above correctly showing detailed working

Sergeeva-Olga [200]

<h2>Intersection and Union of Sets</h2><h3>Answer:</h3>

$A \cup B = \{ a, b, c, d, e \}$

$B \cap C = \{ d, e \}$

$A \cup C = \{ a, b, c, d, e, f \}$

<h3>Step-by-step explanation:</h3>

Given:

$A = \{ a, b, c, d \}$

$B = \{ b, d, e \}$

$C = \{ d, e, f \}$

The Union ( $\cup$ ) of sets $A$ and $B$ is just a set containing all the elements of sets $A$ and $B$ . However, elements that are present in both sets should not repeat in the Union of Sets as the elements of a set should distinct be from each other.