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4 years ago

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You are ordering pizzas for a birthday party and getting them delivered to your house. You order 12 pepperoni pizzas, 8 cheese p

izzas, and 4 Hawaiian pizzas. There is a delivery fee of $5.50. If your total comes to $184.54, how much was each pizza? Assume that every pizza was the same amount.

2 answers:

krok68 [10]4 years ago

8 0

Let

x-------> the cost of each pepperoni pizza

y-------> the cost of each cheese pizza

z-------> the cost of each Hawaiian pizza

we know that

$12x+8y+4z+5.50=184.54$ ------> equation A

$y=x$ -----> equation B

$z=x$ -----> equation C

Substitute equation B and equation C in equation A

$12x+8x+4x+5.50=184.54$

solve for x

$24x=184.54-5.50$

$x=179/24$

$x=\$7.46$

therefore

<u>the answer is</u>

$\$7.46$

lyudmila [28]4 years ago

7 0

Answer: Each pizza costs $7.46.

Step-by-step explanation:

Given : Pizzas ordered : 12 pepperoni pizzas, 8 cheese pizzas, and 4 Hawaiian pizzas.

Total pizzas ordered : 12+8+4=24

Delivery fee = $5.50

Total Cost = $184.54

The cost of 24 pizzas = Total cost - Delivery fee

The cost of 24 pizzas= $184.54 - $5.50 = $179.04

If every pizza was the same amount.

Then, the cost of one pizza = Cost of 24 pizzas divided by 24

= $179.04÷ 24 =$ 7.46

Hence, Each pizza costs $7.46.

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In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

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3 years ago

Find an equation for the nth term of the arithmetic sequence.

amm1812

Answer:

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Step-by-step explanation:

arithmetic sequence formula: $a_n=a +(n-1)d$

where $a$ is the first term and $d$ is the common difference

Given:

$a_{10}=32$

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Given:

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Rearrange the first equation to make $a$ the subject:

a = 32 - 9d

Now substitute into the second equation and solve for $d$

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⇒ 2d = 106 - 32 = 74

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Substitute found value of $d$ into the first equation and solve for $a$ :

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Therefore, the equation is: $a_n=-301 +37(n-1)$

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