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4 years ago

Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace

Mathematics

1 answer:

NeX [460]4 years ago

5 0

The right answer is option 2.

Step-by-step explanation:

Let,

Slice of Cheese Pizza = x

Slice of Mushroom Pizza = y

According to given statement;

3x + 4y = 12.50 Eqn 1

3x + 2y = 8.50 Eqn 2

Subtract Eqn 2 from Eqn 1;

$(3x+4y)-(3x+2y)=12.50-8.50\\3x+4y-3x-2y=4.00\\2y=4.00\\y=\frac{4.00}{2} \\y=2.00$

As y is supposed as slice of mushroom, the price of one slice of mushroom pizza is $2.00

The right answer is option 2.

Keywords: Linear Equations, Subtraction.

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago

Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of t

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Answer:

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Step-by-step explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

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= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

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Substitute 9 for T and 5 for C.

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Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.

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3 years ago

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an

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Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

A) Are the outcomes on the dice independent:

Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

P(1 on green die and 5 on red die) = 1/36

P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

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3 years ago

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Answer:

Rational: all

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3 years ago