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V125BC [204]
3 years ago
12

Define a variable and write an equation to model each situation. Then solve. Show your work. Tickets to the county fair for four

adults and five children cost $33.30. An adults ticket costs $1.50 more than a child's ticket. Find the cost of an adults ticket.
Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0
If x is the childrens ticket
4(x + 1.5) + 5x = 33.30 \\ 4x + 6 + 5x = 33.3 \\ 9x = 33.3 - 6 \\ 9x = 27.3 \\ x =  \frac{27.3}{6}  \\ x = 4.55
so that means that the adults ticket is
x + 1.50 = 4.55 + 1.50 = 6.05
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Answer:

A. ⇒ The expression is b + 3

B. ⇒ The expression is 2b - 4

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Step-by-step explanation:

A.

∵ The distance between Daniel's house and his school is b miles

∵ The swimming pool is 3 miles farther from his school

∴ The distance between Daniel's house and the swimming pool is b + 3

B.

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6 0
3 years ago
WILL GIVE BRAINLIEST
Amanda [17]

════════ ∘◦❁◦∘ ════════

<h3>Answer : y = ⅚x - 3</h3>

════════════════════

<h3>Known</h3>

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

════════════════════

<h3>Question</h3>

Equation of the line (y = mx + c)

════════════════════

<h3>Way to do</h3>

#First, you find the gradient (m)

m =  \frac{y2 - y1}{x2 - x1}  =  \frac{(( - 8) - 2)}{(( - 6) - 6)}  =  \frac{( - 10)}{( - 12)}  =  \frac{5}{6}

#Now use the formula of equation of the line

y - y1 = m(x - x1)

y - 2 = ⅚(x - 6)

y - 2 = ⅚x - 5

y = ⅚x - 5+2

y = ⅚x - 3

════════════════════

3 0
2 years ago
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swat32

Answer:

A

Step-by-step explanation:

16 × 2 = 32

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