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Anika [276]
3 years ago
12

Skate-a-Rama’s party plan charges $4 per person and charges $12 per pizza. John has to spend less than $400 on his party, and wa

nts to have at least 10 people at the party (including himself). How many people and pizzas can he afford? Let x = pizza and y = people.
Mathematics
1 answer:
juin [17]3 years ago
8 0
You can model this problem using the following inequations:y≥10 and 4 * y + 12 * x <400 ... To find the number of pizzas and people, you have to rewrite the inequations as equations and solve the 2x2 system. That is y = 10 and 4 * Y + 12 * X = 400. Clearing from the second equation X, X = 30 results. Therefore, approximately Jhon can have 10 people and 30 pizzas at his party.
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The number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day. The number of boxes in W
Bingel [31]

Answer:

These two warehouses will contain the same number of boxes in 51 days.

Step-by-step explanation:

Since the number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day, while the number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day, To determine in how many days these two warehouses contain the same number of boxes, the following calculation must be performed:

Warehouse A = 476 + 4X

Warehouse B = 986 - 6X

476 + 4 x 50 = 476 + 200 = 676

986 - 6 x 50 = 986 - 300 = 686

476 + 4 x 51 = 476 + 204 = 680

986 - 6 x 51 = 986 - 306 = 680

Therefore, these two warehouses will contain the same number of boxes in 51 days.

3 0
3 years ago
Determine rhe integer whose product us with(-1) is. -125​
Marianna [84]

Answer:

x = 125

Step-by-step explanation:

a × 1 = a

a × (- 1) = -a

- a × (- 1 ) = a

Let the integer be x

Product with  - 1 is -125, that is

                                      = x × ( - 1 ) = - 125

<em><u>Solve for x</u></em>

<em><u /></em>x \times -1 = -125\\\\x \times \frac{-1}{-1} = \frac{-125}{-1}\\\\x \times 1 = 125 \\\\x = 125<em><u /></em>

6 0
3 years ago
Consider a fair coin which when tossed results in either heads (H) or tails (T). If the coin is tossed TWO times 1. List all pos
Volgvan

Answer:

Sample space = {(T,T), (T,H), (HT), (HH)}

Step-by-step explanation:

We are given a fair coin which when tossed one times either gives heads(H) or tails(T).

Now, the same coin is tossed two times.

1) All the possible outcomes

Tails followed by tails

Rails followed by heads

Heads followed by a tail

Heads followed by heads

2) Sample space

{(T,T), (T,H), (HT), (HH)}

3) Formula:

Probability = \displaystyle\frac{\text{Favourable outcome}}{\text{Total number of outcome}}

Using the above formula, we can compute the following probabilities.

Probability((T,T)) =\frac{1}{4}

Probability((T,H)) =\frac{1}{4}

Probability((H,T)) =\frac{1}{4}

Probability((H, H)) =\frac{1}{4}

Probability(Atleast one tails) = \frac{3}{4}

Probability(Atleast one heads) = \frac{3}{4}

Probability(Exactly one tails) = \frac{2}{4}

Probability(Exactly one heads) = \frac{2}{4}

4 0
3 years ago
10. Mr. Schmidt's classes combined have 42 boys and 56 girls. He wants to divide them up into
Gemiola [76]

Answer:

A: 7

B: 8

C: 6

Step-by-step explanation:

You have to try to find the the same greatest factor of both of the numbers.

Since both of the numbers are divisible by 7 the number of groups equals 7.

So you divide the number of girls, which is 56, by 7, the number of girls in each group is 8.

Then you divide the number of boys, which is 42, by 7, the number of boys in each group is 6.

7 0
3 years ago
When sandy and allen's mother decorates the house by herself, it takes her 5 hours.When both Sandy and Allen help, the three can
Yuri [45]

If you're asking how this is possible,

Answer and explanation:

If Sandy and Allen's mother does the job in 5 hours

And Allen and Sandy's contributions completes the job in 2.5 hours

5 hours - 2.5 hours =2.5 hours

Allen and Sandy's contribution is half of the time it took only Allen and Sandy's mother= 2.5 hours

Therefore Allen and Sandy together will take 2.5×2 = 5 hours to complete the job alone without their mother

A similar example: if it takes one person 2 hours to peel 5 potatoes and it takes 1 hour to peel same number of potatoes if a second person helps, then this second person reduces the time used by 1 hour(50%) and would take 2 hours to complete the work.

6 0
3 years ago
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