4) The mass of a chest is 498 kg when it is 1/2 filled with treasure.
The mass of the same chest is 712 kg when it is 3/4 filled with treasure.
What is the mass of the empty chest?

Answers

Answer 1

Answer:

926kg

Step-by-step explanation:

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

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

Answer 2

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!


Related Questions

In 2002, the manufacturers of M&M's surveyed people from around the world and asked them to vote for a new color: purple, aqua, or pink. In the United States, 42% of those who voted said purple, 37% said aqua, and 19% said pink. What's the probability that a randomly picked survey respondent from the United States preferred purple or pink?

Answers

Answer:

don't know

Step-by-step explanation:

dont know...........

Harry received a package for his birthday. The package weighed 350,000 centigrams. Select the conversions that are equivalent to 350,000 centigrams. Select all that apply.

35 kilograms
3,500 decigrams
350 dekagrams
3,500 grams
PLEASE ANSWER PLEASE​

Answers

Given:

The package weighed 350,000 centigrams.

To find:

The conversions that are equivalent to 350,000 centigrams

Solution:

We know that,

1 centigrams (cg) = 0.000001 kilograms (kg)

1 cg = 0.1 decigrams (dg)

1 cg = 0.001 dekagrams (dag)

1 cg = 0.01 grams (g)

Using these conversions, we get

350,000 centigrams = 3.5 kilograms

350,000 centigrams = 35,000 decigrams

350,000 centigrams = 350 dekagrams

350,000 centigrams = 3,500 grams

Therefore the correct options are C and D.

Which equation of a line is parallel to the graph of y = 3x -5 and passes through the point
(1,5)?

Answers

i believe the answer is C.

Find f(5) for f(x)=1/4(2)^x
O A. 4
O B. 32
C. 2
O D. 8

Answers

Answer:

D. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = 1/4(2)ˣ

f(5) is x = 5 for function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(5) = 1/4(2)⁵Exponents:                                                                                                        f(5) = 1/4(32)Multiply:                                                                                                             f(5) = 8

Home pregnancy tests, like all medical tests, are not perfectly accurate. Suppose one such test has an accuracy level such that if a woman is pregnant there is a 12% chance that the test will fail to show it. On the other hand, if the woman is not pregnant there is still a 3% chance that the test will incorrectly say that she is. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
a) If Joan is pregnant what is the chance that the test will detect it?
b) Based on other factors, Joan estimates there is an 80% chance that she is pregnant.
Therefore, Joan takes a pregnancy test. What is the probability that the test will indicate that she is pregnant?
c) Joan looks at the test result and it does indicate that she is pregnant. Given this test result, what is the probability that she is pregnant?
d) Pamela has also taken this particular home pregnancy test. Before taking the test, she estimated there was a 75% chance that she

Answers

Answer:just go to the doctor

Step-by-step explanation:

This is the floor of isaac's kitchen. Isaac needs to determine the area of the floor so he can order new tile. Enter the area, in square feet, of Isaac’s kitchen floor.

Answers

Answer:

134

Step-by-step explanation:

first, separate the floor into 3 different rectagles to calculate the area and then add them together.

area of rec=L*B

rec 1: 9.5*7=66.5

rec 2: (10.5-4.5)*(14.5-5-7)=15

rec 3:5*10.5=52.5

Then:

66.5+52.5+15=134

Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
Grace
800, 400, 200, 100, 0, 0
Every number in the pattern will have a 0 or a 5 in its ones place.
Every number in the pattern will have a 0 or a 5 in its tens place.
Every number in the pattern will have a 0 in its ones place.
Every number in the pattern will have a 0 in its tens place.
Done -

Answers

Answer:tbh

Step-by-step explanation:

and\

What is the midpoint of a line segment with endpoints at (2, 3) and (4,5)

Answers

Answer:

(3, 4)

Step-by-step explanation:

First, find the x coordinate of the midpoint by finding the average of the two x values:

(2 + 4) / 2

6 / 2

= 3

Find the y coordinate of the midpoint by finding the average of the two y values:

(3 + 5) / 2

8 / 2

= 4

So, the x coordinate of the midpoint is 3 and the y coordinate is 4.

The midpoint is (3, 4)

If OB = 6 and AB = 8, then EA

Answers

Answer:

what is that means i think it's better to ask by take a picture

please help, the answer below is a option but i need a answer for the question

Answers

Answer:

12 units^2

Step-by-step explanation:

A box contains 3 defective batteries and 7 good ones. You reach in and pull out three
batteries. What is the expected number of defective batteries?

Answers

Answer:

The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.

Step-by-step explanation:

Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:

3 + 7 = 100

3 = X

10 = 100

3 = X

3 x 100/10 = X

300/10 = X

30 = X

3 x 3/10 = X

0.9 = X

Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.

the original price of a book is $15 the book is selling for 25% less because of the slight damage .what is the cost of the damaged book

Answers

Answer:

the cost of the damaged book is 11.25

Step-by-step explanation:

since it is 25% off the 100% cost it is dicounted to 75% of the price

multiply full price by 75% (.75) to get 11.25

Consider this data set.
13, 17, 21, 3, 14, 34, 22, 20, 16, 19, 15
Which data values are outliers?
Select each correct answer
3
13
15
34

Answers

Answer:

3 and 34

Step-by-step explanation:

they are the extremes in this, you want to look for out of place numbers when dealing with outliers

Please help and explain ( Brainliest for answer!)

Answers

Answer:

AD = 3

Step-by-step explanation:

Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).

Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².

Expanding the formula, you'll get 25 - 16 = a².

25 - 16 = 9.

This means that 9 = a².

To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.

Which expression is equivalent to

Answers

Answer:

x^6

Step-by-step explanation:

Can someone please tell me what 597 ➗ 5 is

Answers

Answer:

119.4

Step-by-step explanation:

Big Brain Dude <:

Consider the points plotted on the number line shown below

Answers

Point D is at 4 so that’s true
Point C is at 2.25 so that’s true
Point A is -1.25 and Point D is 4, so point A is less than point D.
They all look true to me

how many times does 48 go into 123 ​

Answers

Answer:

48 goes into 123 about 2.5625 times.

Step-by-step explanation:

To determine how many times does 48 go into 123, the following mathematical calculation must be performed, by which 123 will be divided by 48 to obtain said number of times:

123/48 = X

2.5625 = X

Therefore, 48 goes into 123 about 2.5625 times.

1 1/4 X 5 3/4 = _________________

Answers

Answer:

7 1/8

Step-by-step explanation:

Hope this helps

Answer: 7.1875

Step-by-step explanation:

First you would multiply the two numbers which are 1 1/4 and 5 3/4 then you would simplify that because you would get 115/16 then when you simplify you get 7.1875

What Expression is equivalent to 4 square root of 6 over 3square root of two

Answers

Answer:

4√6/3√2 = 4.62

Step-by-step explanation:

Which expression is equivalent to (see the picture)

A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6

Answers

where is the picture though

Marta walked at 4.7 miles per hour for 0.83 hours. How far did she walk?

Answers

The answer is 2.808 I think

A box holds 12 markers. Nan takes out 6. Then she puts 2 back. Are there enough markers in the box for Fen to take out 10?

Answers

Answer:

Nope

Step-by-step explanation:

No because you can (12 + 6) +2 and get 8. so yea

500 meters to kilometers

Answers

The answer would be 0.5 KM you divide 500 by 1000 to get the answer.

If f(x) = x and g(x) = vx, what is f(g(x) when x = -3?

Answers

Answer:

f(g(x) = -3v

Step-by-step explanation:

A spinner with 6 equally sized slices has 2 red slices, 1 blue slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?

Answers

Answer:

The probability is 2/6, or 1/3 (about 33%)

Step-by-step explanation:

A runner can run 5 miles in 26 minutes at this rate how many miles can he run and 41.6 minutes?

Answers

Answer:

8 miles

Step-by-step explanation:

Given: A runner can run 5 miles in 26 minutes, 41.6 minutes = ___

To find: At this rate, how many miles can he run and 41.6 minutes?

Solution: If the runner ran 5 miles in 26 minutes, to find how far he ran in 41.6 minutes, set up a fraction:

let x be the variable

[tex]\frac{26}{5} = \frac{41.6}{x}[/tex]

Apply fraction cross multiply;

[tex]26x=5\cdot \:41.6[/tex]

[tex]26x = 208[/tex]

Divide both sides by 26

[tex]\frac{26x}{26}=\frac{208}{26}[/tex]

Simplify

[tex]x = 8[/tex]

Then, at the rate, the runner ran 8 miles 41.6 minutes

5 miles = 26 min

41.6 min / 5 miles = 8.32 miles

round off = 8 miles

The runner will run 8 miles total and 41.6 minutes

4
The portable basketball hoop shown is made so that BA= AS = AK. The measure of BSK is 76. What is m(angle)AKB?


Answers

Answer:

have you found the answer

The probability that the patient recovers from a rare deadly disease is 40% and failure to recover is 60%.If 15 people contracted this disease what is the probability that a. 5 will survive? b. 8 will survive? c.12 will survive?(complete solution)​

Answers

Answer:

a) 0.1859 = 18.59% probability that 5 will survive.

b) 0.1181 = 11.81% probability that 8 will survive.

c) 0.0016 = 0.16% probability that 12 will survive.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that the patient recovers from a rare deadly disease is 40%

This means that [tex]p = 0.4[/tex]

15 individuals

This means that [tex]n = 15[/tex]

a. 5 will survive

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]

0.1859 = 18.59% probability that 5 will survive.

b. 8 will survive

This is P(X = 8). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]

0.1181 = 11.81% probability that 8 will survive.

c.12 will survive

This is P(X = 12). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]

0.0016 = 0.16% probability that 12 will survive.

Please help me with this answer

Answers

9514 1404 393

Answer:

x = 12∠H = 94°

Step-by-step explanation:

The marked angles are supplementary, so ...

  (5x +26)° +(8x -2)° = 180°

  13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24

  x = 12 . . . . . . . . . . . divide by 13

  ∠H = (8x -2)° = (8·12 -2)°

  ∠H = 94°

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