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Jobisdone [24]
2 years ago
3

Eight friends purchase various supplies for a camping trip and agree to share the total cost equally. They spend $85.43 on food,

$32.75 on water, and $239.66 on other items. How does each person owe?
Mathematics
1 answer:
mr_godi [17]2 years ago
5 0
Each of the friends will pay 44.73
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Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)
MakcuM [25]

Answer:

The cost is $9.70 per kilogram.

Step-by-step explanation:

This can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are the weight of the cheese and the price. As the weight increases, so does the price. It means that this is a direct rule of three.

Solution:

The problem states that cheese costs $4.40 per pound. Each kg has 2.2 pounds. How many kg are there in 1 pound. So:

1 pound - xkg

2.2 pound - 1 kg

2.2x = 1

x = \frac{1}{2.2}

x = 0.45kg

Since cheese costs $4.40 per pound, and each pound has 0.45kg, cheese costs $4.40 per 0.45kg. How much does is cost for 1kg?

$4.40 - 0.45kg

$x - 1kg

0.45x = 4.40

x = \frac{4.40}{0.45}

x = 9.70

The cost is $9.70 per kilogram.

6 0
2 years ago
Two identical decks of 52 cards are mixed together, yielding a stack of 104 cards. How many different ways are there to order th
kumpel [21]

Answer:

here the order will be 104! =1.029e^{166}

Step-by-step explanation:

since the cards are to arranged in  no particular order that is why we used combination to find the result.

Combination can simply be explained as the method of selecting items from a collection of items where the order of the selections does not matter.

7 0
2 years ago
Noah receives a $5 discount each month on his cell phone bill because he signed up for a auto pay from his bank account. Over th
sashaice [31]

Answer:

35

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Find the value of a that satisfies the congruency of the triangles. In two or more complete sentences, explain the relevance bet
Vinvika [58]

Answer:

a=√2

Step-by-step explanation:

Given : ΔEGF ≅ ΔHKJ

where ∠G=∠K [right angle]

∠E=∠H=45°

And ∠F=180°-∠E-∠G [By angle sum property]

⇒∠F=180°-45°-90°

⇒∠F=45°=∠J  [corresponding parts of two congruent triangles are congruent]

⇒ Both triangles are isosceles right triangles such that

JK=HK=b , EG=GF

and EF=JH

Now JK=HK= EG=GF=3√2

Now GF=3a=3√2

⇒a=√2

5 0
2 years ago
Please answer! I’m desperate.
lara31 [8.8K]

Answer:

Hi! This is the answer for part C, or finding the factors.

Step-by-step explanation:

Checked by my teacher. hope this part helps. Will post the rest soon.

8 0
2 years ago
Read 2 more answers
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