The volume of a piece of wood is 620cm3.
Its density is 0.85g/cm3.
Work out its mass

Answers

Answer 1

Answer:

527 grams

Step-by-step explanation:

Use the density formula, d = m/v

Plug in the density and volume, then solve for m (mass):

d = m/v

0.85 = m/620

527 = m

So, the mass is 527 grams


Related Questions

Help pls!!!!!!!!!!!!! trigonometry is it cos sin or tan

Answers

Answer:

tan (angle T) = 5/2

angle T = arctan (5/2)

9r^6/ 5r^3g^2, 5n^5c^-6 times 2n^-5c^3, and 9g^-4yA^4/3g^6y^-2 using properties of exponents, all this for 10 points

Answers

Answer:

Step-by-step explanation:

5n⁵c⁻⁵ *  2n⁻⁵c³ = (5*2)*n⁵⁺⁽⁻⁵⁾ * c⁻⁶⁺³

                          =10*n° *c⁻³

                           = 10c⁻³               (n° = 1}

[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{9r^{6}}{5r^{3}g^{2}}=\frac{9}{5g^{2}}*r^{6-3}\\\\=\frac{9r^{3}}{5g^{2}}\\\\\\\\\frac{9g^{-4}y^{4}}{3g^{6}y^{-2}}=\frac{9}{3}*g^{-4-6}*y^{4-(-2)}\\\\=3*g^{-10}*y^{4+2}\\\\=3g^{-10}*y^{6}\\\\=\frac{3y^{6}}{g^{10}}[/tex]

Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)

Answers

Answer:

Let's see each case.

a) 2

We know that a number is divisible by two if it ends in {0, 2, 4, 6, 8}

In our case, we have 240,720

We can see that it ends with a zero, so it is divisible by 2.

b) 3

A number is divisible by 3 only if the sum of its digits is a multiple of 3.

For our number, the sum of the digits gives:

2 + 4 + 0 + 7 + 2 + 0 = 2 + 4 + 7 + 2 = 6 + 9 = 15

15 is a multiple of 3, then 15 is divisible by 3.

then 240,720 is divisible by 3.

c) 4

A number is divisible by 4 if the last two digits form a number that is divisible by 4.

In this case, the last two digits are 2 and 0, so they form the number 20

and we know that 20 = 4*5 is a multiple of 4.

then 20 is divisible by 40

then 240,720 is divisible by 4

d) 5

A number is divisible by 5 if it ends in 0 or 5.

Our number ends in a 0, so it is divisible by 5.

e) 6

A number is divisible by 6 if it is divisible by 2 and 3.

We already know that our number is divisible by 2 and 3, so we can conclude that it is also divisible by 6.

f) 8

A number is divisible by 8 if, in the case where the hundreds digit is odd, the number obtained from the last two digits plus 4 must be divisible by 8.

in the case where the hundreds digit is even, the number formed by the last two digits must be divisible by 8.

In our case the hundreds digit is 7, so it is odd, so we will use the first criteria.

The last two digits form the number 20

if we add 4, we get:

20 + 4 = 24

And 24 is a multiple if 8:  8*3 = 24

Then 24 is divisible by 8, then 240,720 is divisible by 8.

g) 9

Similar for the case of the 3, a number is divisible by 9 if the sum of its digits is divisible by 3.

We know that the sum of the digits of our number is 15, which is not divisible by 9, then our number is not divisible by 9

h) 10

A number is divisible by 10 if the last digit is a zero.

In this case the last digit is a zero, so  240,720 is divisible by 10.

i) 11

A number is divisible by 11 if:

starting from the left, you need to add and subtract each subsequent digit, if this is divisible from 11, then the original number is divisible by 11.

Then for  240,720 we have:

2 - 4 + 0 - 7 + 2 - 0 = -2 - 5 = -7

-7 is not divisible by 11, so our number is not divisible by 11

12
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information,

Answers

Answer:

[tex]\dfrac{x}{2}=25.5[/tex]

Step-by-step explanation:

Let the number be x.

Peter halves the number and gets an answer of 25.5.

It means,

Half of x equals 25.5. So,

[tex]\dfrac{1}{2}x=25.5[/tex]

or

[tex]\dfrac{x}{2}=25.5[/tex]

Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].

Pls help ..
if A =
[4 3] is a singular matrix, find 'a'
[ a 3]​

Answers

Answer:

a = 4.

Step-by-step explanation:

We know that:

[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]

is a singular matrix, now we want to find the value of a.

We know that a matrix is singular if:

Det [A] = 0

Where remember that the determinant of a 2x2 matrix is given by:

[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]

Then the determinant of A is:

Det [A] = 4*3 - a*3

and that must be zero, so:

4*3 - a*3 = 0

Now we just need to find the value of a:

12 - a*3 = 0

12 = a*3

12/3 = a

4 = a

So the value of a is 4.

While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but she isn't sure how far that is. She decides to estimate the distance in miles. If Judy uses the fact that 1 kilometer is about 0.6 miles, what will her estimate be?

Answers

Answer:

24 Miles

Step-by-step explanation:

We multiply:

40 * 0,6 = 24 miles

Divide. Round to the nearest tenth.
104 divided by 1.5

Answers

Answer:

70

Step-by-step explanation:

too easy

simplify

x - ( - 6 x )​

Answers

Answer:

7x

Step-by-step explanation:

Answer:

answer

x - ( - 6x )

x + 6x

= 7x

2 sin2 (π/2 sin2x)=1+cos(π×cos2x)

Answers

Answer:

3/5Step-by-step explanation:

[tex]the \: equation \: is \: equivalent \: to \\ 2 \: { \sin }^{2} (( \: \frac{\pi}{2}) \: {cos}^{2} x ) = \\ \: 2 \: {sin}^{2} (( \frac{\pi}{2} sin \: 2x \: ) \\ = {cos}^{2} x = sin \: 2x \\ = \: \cos \: x(cos \: x \: - \: 2 \: sin \: x) \: = \: 0 \\ = \: 1 - 2 \tan \: x = 0 \: as \: cos \: x \: ≠ 0 \\ x ≠ (2n + 1) \frac{\pi}{2} \\ = \tan(x) = \frac{1}{2} \\ = \cos(2x) = \frac{1 - {tan \: }^{2}x }{1 + {tan \: }^{2} \:x } = \frac{3}{5} [/tex]

HOPE IT HELPS!!!!

If it is correct mark as BRAINLIEST ✌️

22/9 divided by 8, please hurry test is timed!

Answers

Answer:

0.30(5)

the 5 is repeating

Step-by-step explanation:

calculator

Find the solution to the equation 4r + 2(r - 8) = 4(3 + r).

Answers

Answer:

r = 14

Step-by-step explanation:

Use distributive property:

4r + 2r - 16 = 12 + 4r

Combine like terms:

6r - 16 = 12 + 4r

Isolate the variable:

6r = 28 + 4r

2r = 28

r = 14

Answer:

r = 14

Step-by-step explanation:

4r + 2(r - 8) = 4(3 + r)

4r + 2r - 16 = 12 + 4r

6r - 16 = 12 + 4r

6r - 4r - 16 = 12 + 4r - 4r

2r - 16 = 12

2r - 16 + 16 = 12 + 16

2r = 28

2r ÷ 2 = 28 ÷ 2

r = 14

helpppp please!!!!!!

Answers

Answer:

x-8

Step-by-step explanation:

since we dont know how much gas is in the tank, lets make that X.

and since we subtract 8 gallons from how much is in the tank, we make that X-8

Answer:

Inequality:

x < 8

The Graph Would be the Hallow Dot on the 8,  then it would go the left way.

I need help again plz

Answers

3 :)

6.231 has a 1 after the 3, meaning you keep the 3 instead of rounding it up to 6.24

Alicia is a music artist. Her income can be represented by the function, f(a) = 200 + 12a, where a represents the total number of albums sold.

What is an acceptable domain for this situation?

Answers

Answer:

The answer is below

Step-by-step explanation:

A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).

The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.

From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).

Hence the domain of the function is:

0 < a < ∞

Which of the following systems of linear inequalities is represented by the solution graphed below?

Answers

The answer to this question is option A.

ASAP BRAINLIEST IF RIGHT 30 POINTS NO NEED FOR WORK
At a restaurant, diners earn 1 point for every $2 they spend, plus 25 bonus points on their first meal. Function f represents the number of points earned as a function of the total amount spent x. Which function represents the total amount spent as a function of the number of points earned?

A. f−1(x) = 2x − 50
B. f−1(x) = 2x + 50
C. f−1(x) = 0.5x − 50
D. f−1(x) = 0.5x + 50

Answers

i think it’s d ………….

Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)

Answers

every month 1/10 of her allowance goes to chores class because 1/5x1/2 = 1/10 or 1/2 of 1/5 is 1/10

How much is 3 lbs of gold worth I’m American money

Answers

Answer:

$1865

The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.

The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.

Please help will be marked as brainliest if correct

Answers

Answer:

I think the answer is three.

Here is a picture of my work. The answer is 3. Hope this helps:)

the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)

Answers

Answer:

$469.80

Step-by-step explanation:

First, let's find out how many fees would be paid exclusively for renting it out for 14 days.

29.00 * 14 = $406

They have to pay 406 dollars just for having the car for 14 days.

Now let's find out how much will need to paid for driving for 320 km.

We can first take away 100 km because the fee only starts afterwards.

320 - 100 = 220

220 * 0.29 = 63.8

63.80 + 406 = 469.80

The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months

Answers

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Given the equation:

C = 40n + 210

Where C is the cost of a phone plan for n number of months.

After 2 months; C = 40(2) + 210 = 290

After 12 months; C = 40(12) + 210 = 690

After 24 months; C = 40(24) + 210 = 1170

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

Find out more on linear equation at: https://brainly.com/question/14323743

PLZZZZ I really need help!

Which function rule represents the best line of fit for the data in the plot?

Answers

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function rule that represents the best line of fit for the data in the plot is option C.

A) f(x)= x+8

Since the line has a positive slope this can not be the appropriate option.

B.) f(x) = -2x+14

Since the y-intercept of the equation is above all the data points, it would not be the best fit for the data in the plot.

D.) f(x) = 10

Since this is a straight horizontal line at y=1. This is not the appropriate option.

Hence, the correct option is C.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Which system is equivalent to

Answers

Answer:

We can find the system equivalent to this one by replacing one of the equations with a multiply of itself, so:

Let’s multiply y = x-2 by 2

2y=2x-4

A system equivalent to this one is

y = -2x^2 (this remains the same)

2y= 2x-4

If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will be used

Answers

Answer:

The answer is below

Step-by-step explanation:

Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:

The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x

25% of 1000 ml = 70% of x + 5% of (1000 - x)

25000 = 70x + 5000 - 5x

Simplifying gives:

65x = 25000 - 5000

65x = 20000

x = 308 ml

Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.

which equation has the steepest graph?
A. y=7x+3
B. y=8x-1
C. y=-10x-4
D. y=-2x+6

Answers

The answer to this question would be C. Y=-10x-4

Find the distance between (1, 3) and (5, 6)
a) 3
b) 4
c) 5
d) 6

Answers

Answer is 6


Reason: cause

SOMEBODY PLEASE HELP

Answers

Answer:

x=40

Step-by-step explanation:

1/5x=8

x=8*5=40

x=40

How do you find the equation of a line of a triangle when given the area and one set of coordinates?

Answers

The straight line through two points will have an equation in the form y = m x + c . We can find the value of , the gradient of the line, by forming a right-angled triangle using the coordinates of the two points.

Please helppppppp meeee

Answers

Answer:

angle K is 30 degrees

Step-by-step explanation:

A triangle adds up to 180 degrees. since LM and KM are congruent angle L and M are both 75 degrees each you subtract from 180 and you get 30 degrees

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the questions with their solutions. 5 80 6 200 8 150 Joshua has 11 baskets of apples. In total, he has 88 apples. How many apples are there in 1 basket? arrowRight Mindy can type 40 words per minute. How many words can she type in 5 minutes? arrowRight Jessica had 20 balloons, which she distributed among 4 of her friends. How many balloons did each friend get? arrowRight Max can make 1 greeting card in 5 minutes. How many greeting cards can he make in 30 minutes? arrowRight

Answers

Answer:

1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6

Step-by-step explanation:

1.)

Number of apple baskets = 11

Total number of apples = 88

Number of apples per basket = 88 / 11 = 8

2).

Number of words per minute = 40

Number of words that can be typed in 5 minutes :

40 * 5 = 200 words

3.)

Number of balloons = 20

Number of friends = 4

Number of balloons per friend = 20/4 = 5

4.)

Time required to make 1 greeting card = 5 minutes

Number of greeting cards that can be made in 30 minutes :

30 minutes / 5 minutes = 6 greeting cards

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