All categories

3 years ago

4) The mass of a chest is 498 kg when it is 1/2 filled with treasure.

Mathematics

2 answers:

Dvinal [7]3 years ago

7 0

Answer:

70kg

Step-by-step explanation:

Firstly, because nothing else changed about the treasure chest apart from the amount of treasure when the mass increased, the difference in mass must be the mass of the 1/4 chest of treasure which was added.

712 - 498 = 214kg

Now that we know that 1/4 chest's worth of treasure has a mass of 214kg, we can multiply this by 2 to find the mass of 1/2 a chest of treasure (without the chest):

214 x 2 = 428 kg

We now know that since 1/2 a chest of treasure has a mass of 428kg, the difference between the mass of the chest AND treasure when it is half full must be the mass of the box:

498 (mass of chest and 1/2 chest worth of treasure) - 428 (mass of just 1/2 chest worth of treasure only) = 70kg (mass of chest only)

We can check this by using the other given mass as well. 214 x 3 = 642kg

This means 3/4 of a chest's worth of treasure only, has a mass of 642kg, meaning the extra mass in the 712kg must be the mass of the chest:

712 - 642 = 70kg

The chest has a mass of 70kg.

Hope this helped!

mote1985 [20]3 years ago

3 0

Answer:

926kg

Step-by-step explanation:

712kg-498kg=214kg+712kg=926kg

3/4. 2/4. 1/4. 3/4. 4/4

You might be interested in

Factor the following , it is not prime

MrMuchimi

So 1/9-16z^2 this is a diffirence of two perfect squares thing
so (1/3)^2-(4z)^2
so ((1/3)-4z)((1/3)+4z)

4 0

3 years ago

A swimming pool measures 40 ft long by 20 ft wide. The pool is filled to a depth of 5 ft. Find the volume of the water in the po

madreJ [45]

Answer: 4,000 cubic feet

Step-by-step explanation:

Volume=LWH (Length times width times height, nay base times height)

V=40*20*5

V=40*20*5= 4000

Answer: 4,000 cubic ft.

8 0

3 years ago

At a clothing store, Ted bought 4 shirts and 2 ties for a total price of $95. At the same store, Stephen bought 3 shirts and 3 t

zepelin [54]

Answer:

$19.50

Step-by-step explanation:

We can turn these into equations by making the shirts 's' and the ties 't'.

4s+2t=95 and 3s+3t=84

Now we can solve the system of equations with substitution.

4 0

3 years ago

Which function models the area of a rectangle with side lengths of 2x - 4 units and x + 1 units?

aalyn [17]

Answer:

Area of rectangle, $f(x)=2x^2-2x-4$ .

Step-by-step explanation:

We are given with side lengths of a rectangle are (2x-4) units and (x+1) units. It is required to find the area of rectangle.

The area of a rectangle is equal to the product of its length and breadth. It is given by :

$A=L\times B$

Let us consider, L = (2x-4) units and B = (x+1) units

Plugging the side lengths in above formula:

$A=(2x-4)\times (x+1)$

$A=2x^2+2x-4x-4\\\\A=2x^2-2x-4$

So, the function that models the area of a rectangle is $f(x)=2x^2-2x-4$ .

5 0

3 years ago

What is the value of z in the equation 2(4z − 3 − 1) = 166 − 46?

shepuryov [24]

Refine $2(4z-3-1)$

$= 2(4z-4)$

Refine : $166 - 16 = 120$

therefore:

$2(z-4) = 120$

Divide both sides by 2 :

$\frac{2(z-4)}{2} = \frac{120}{2}$

$4z-4 = 60$

add 4 to both sides:

$4z-4+4 = 60+4$

$4z = 64$

Divide both sides by 4 :

$\frac{4z}{4} = \frac{64}{4}$

$z = 16$

hope this helps!

8 0

3 years ago

Read 2 more answers