Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35 kg.Write an equation to determine the weight, w, of each of Carl's checked bags.

Answers

Answer 1

Answer: Carl has 3 bags in total. One backpack weighs 4 kg and the rest two checking bags have the equal weight. The total weight of 3 bags is given to be 35 kg.

Let the weight of each checking bag is w kg. So we can write:

2 x (Weight of a checking bag) + Weight of Backpack = 35

Using the values, we get:

2w+ 4 = 35

Using this equation we can find the weight of each checking bag, as shown below.

2w = 31

w = 31/2

w = 15.5

Thus, the weight of each checking bag is 15.5 kg

Answer 2

Answer:

Answer: Weight of each of Carl's checked bags is 15.5 kg.

Step-by-step explanation:

Since we have given that

Number of checked bags of equal weight = 2

Weight of a backpack = 4 kg

Total weight of Carl's baggage = 35 kg

Let the weight of checked bags be 'w'.

According to question,

$2w+4=35\n\n2w=35-4\n\n2w=31\n\nw=(31)/(2)\n\nw=15.5\ kg$

Hence, Weight of each of Carl's checked bags is 15.5 kg.

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Enter your answer in the box

(Please hurry)

Answers

Answer:

$\large\boxed{x=20}$

Step-by-step explanation:

The whole triangle and small triangle are similar (AA). Therefore the sides are in proportion:

$(5x+10+10)/(10)=(121+11)/(11)$

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Triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. This triangle is then translated 5 units right and 4 units up to form triangle A″B″C″. If vertex A is at (-4, 2), what are the coordinates of vertex A″?

Answers

Answer:

The coordinates of vertex A″ are (3,1).

Step-by-step explanation:

It is given that triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. It means

$(x,y)\rightarrow (x+2,y-5)$

$A(-4,2)\rightarrow A'(-4+2,2-5)=A'(-2,-3)$

triangle A'B'C' is translated 5 units right and 4 units up to form triangle A″B″C″. it means

$(x,y)\rightarrow (x+5,y+4)$

$A'(-2,-3)\rightarrow A''(-2+5,-3+4)=A''(3,1)$

Therefore the coordinates of vertex A″ are (3,1).

A = (-4,2)
A' = (-2,-3)
A'' = (3,1)
I hope this helps.

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Answers

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