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

For a car to qualify as a High Occupancy Vehicle (HOV), it must have at least _____ people.


A.
4


B.
2


C.
varies


D.
3

Answers

Answer: i would like to sad it varies

Step-by-step explanation: the number of people required for a Vehicle to be an HOV i would say exactly 2 and greater. The state Laws also applies, so i'll add that onto it varies

Need help with this question

Answers

Answer:

B.

Step-by-step explanation:

you know that (a+b+c)/d is the same as a/d + b/d + c/d.

and (a×b)/(c×d) is the same as (a/c)×(b/d).

and the powers of variables subtract when the variables are divided, and the powers add when the variables are multiplied.

14a⁸y³ / 7a⁴y

14/7 = 2

a⁸/a⁴ = a⁴

y³/y = y²

=> 2a⁴y² is the first part. that eliminates already all other answer options. only B can be right.

but let's practice and look at the second part :

-7a⁴y⁵ / 7a⁴y

-7/7 = -1

a⁴/a⁴ = 1

y⁵/y = y⁴

=> -y⁴ is the second part. B is still confirmed.

the third part :

28a¹²y² / 7a⁴y

28/7 = 4

a¹²/a⁴ = a⁸

y²/y = y

=> + 4a⁸y is the third part. B confirmed.

A number line is shown below. The
numbers 0 and 1 are marked on the line, as are two
other numbers a and b.
Which of the following numbers is negative? Choose
all that apply.

a-b
ab
-b
ab + 1

Answers

Answer:

-b

Step-by-step explanation:

1 is b and a negative sign shows that the number is a negative in -b there is a negative sign and b = 1 so this -b shows the number -1

Find the squares of a+3b​

Answers

Answer:

3ab

Step-by-step explanation:

because it is answer

DEF is a dilation image of ABC. What is the scale factor?

2

1/2

1/4

2/3

Answers

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = [tex]\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}[/tex]

                    = [tex]\frac{DE}{AB}[/tex]

                    = [tex]\frac{4}{8}[/tex]

                    = [tex]\frac{1}{2}[/tex]

Therefore, scale factor by which ΔABC is dilated is [tex]\frac{1}{2}[/tex].

Option (2) will be the correct option.

7.80/hour=________ cents/minute?

Answers

Answer: 0.13 cents per minute.

Step-by-step explanation:

7.80 divided by 60(min per hour.)= .13 cents.

1$ = 100 cents, 1 hour = 60 minutes

$7.80/hour = (7.8*100) cents / (1*60)minutes

= 780 cents/60 minutes

= 13 cents/minute

Aere are two squares. A and B.
A
B
The length of each side of square B is 4 cm greater than the length of each side of square A.
The area of square B is 70 cm² greater than the area of square A.
Find the area of square B.
Give your answer correct to 3 significant figures.
You must show all your working.

Answers

Answer:

116 cm²

Step-by-step explanation:

a = side length of A

b = side length of B

b = a + 4

b² = a² + 70

(a+4)² = a² + 70

a² + 8a + 16 = a² + 70

8a + 16 = 70

8a = 54

a = 54/8 = 27/4 = 6.75

b² = a² + 70 = 6.75² + 70 = 45.5625 + 70 =

= 115.5625 ≈ 116 cm²

our does your teacher mean 3 significant figures after the decimal point ? then it would be

115.563 cm²

Plz help meee <3 kitty’s

Answers

Answer:

linear means a line (that eliminates c and d)

as "X" increases the "Y" value "DECREASES" so the answer is "B"

Step-by-step explanation:

Answer:

B. Linear decreasing

Step-by-step explanation:

The graph appears to have a negative slope, and it is a straight line. This means the graph will be linear. An exponential growth/decay would have a curved line, so those are automatically out. Since the farther the points go the more downwards the line is, this means it is decreasing.

hope this helped. :)

Hello! I wanted answer with explanation
If you didn't understand what question in the screen I can't tell you...

Question: In an election, there are a total of 80,000 voters and there are two candidates A and B. 80% of the voters go for the polls and out of which 60% vote for A. How many voters does B get?
I hope you answer...
Thank you!​

Answers

25600

Do 80/100 * 80,000 to find how many voters actually voted (it should be 64,000). Then it says that 60% of those people voted for A, so that means 40% of them voted for B. Do 40/100 times 64,000

John is buying new shoes. He finds the shoes he wants on sale for 30%, and the original price is $88. How much will he pay for the shoes?

Answers

Answer:

61.6 dollars

Step-by-step explanation:

So, lets go over what we know:

The shows orginally cost 88 dollars.

They are 30% less than that.

This basically means that the shoes will cost 70 percent of their orginal price.

We can basically find the new cost by multiplying the 88 dollars by the 70 percent.

Or, multiplying 88 by 0.7, which is the decimal form of 70%.

88*0.7=61.6

How did I get this?

Multiply 80 by 0.7:

7*8=56

We have 0.7 so it = 5.6

However, it's tens place is 80, not 8, so it will be = 56

It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8

= 5.6

56+5.6=61.6

So 61.6 is our answer.

Hope this helps!

Answer:

$61.60

Step-by-step explanation:

the other answer is correct.

just to add some explanation about the % considerations.

we know $88 is 100%

in order to get any other % value, we need to divide the original value by 100 (that gives us 1%), and then multiply with the number of % we want to have - in our example 70, as the discount is 30% (so the remaining part is 70% of the original price).

so, in order to get 70% we actually have to do the above things and divide by 100 and multiply by 70.

70% = (100% / 100) × 70 = 100% × 70 / 100

70 / 100 = 0.7 (that is how answer 1 actually got that multiplication factor)

70% = 100% × 0.7

70% = $88 × 0.7 = $61.60

what is the simplist form of 240/1000

Answers

Divide by 100 to reduce it to 24/100

Now divide by 4 to get 6/25

The simplest form is 6/25

can someone help please

Answers

Answer:

3a. (i). Sequence [tex]V_{n}[/tex] is in Arithematic

(ii). Sequence [tex]W_{n}[/tex] is in Geometric

3b. 2520 Sum of First 20 Arithmetic Sequence

3c. 98292 Sum of First 13 Geometric Sequence

Step-by-step explanation:

According to the Question,

3a. (i) Arithmetic Sequence ([tex]V_{n}[/tex]) = 12 , 24 , 36 , 48 .....

it is a sequence of numbers such that the difference between the consecutive terms is same. example → 24+12=12 , 36-24=12 , 48-36=12 ∵Common Difference=12

(ii) Geometric Sequence ([tex]W_{n}[/tex]) = 12 , 24 , 48 , 96 .....

A geometric series is a series for which the ratio of each two consecutive terms is a constant function. example → 24/12= 2 , 48/24= 2 , 96/48= 2 ∵Common Ratio=2

3b. Sum of first 20 terms of Arithematic sequence, [tex]S_{n}=\frac{n}{2}[2a + (n-1) d][/tex]

(Where, a=first term of sequence , n= number of term & d=common difference)

[tex]S_{n}[/tex]=10[2×12 + 19×12]

[tex]S_{n}[/tex] =10×252  ⇔  2520

3c. Sum Of First 13 term of a geometric sequence, [tex]S_{n}= \frac{a(r^{n}-1) }{r-1}[/tex]

(Where, a=first term of sequence , n= number of term & r= common ratio)

[tex]S_{n}[/tex]=12([tex]2^{13}[/tex]-1) / 2-1

[tex]S_{n}[/tex]=12×8191  ⇔  98292

Area of base=
A)8 square units
B)6 square units
C)12 square units

Answers

Answer:

its 8

Step-by-step explanation:

4 times 2 is 8 and you cant get 6 or 12

Answer:

A

Step-by-step explanation:

Area of base = length x width = 4 * 2 = 8 square units

How to solve it and explain it

Answers

Answer:

2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side ( hypotenuse ) be x , then

x² = 1² + ([tex]\sqrt{3}[/tex] )² = 1 + 3 = 4 ( take square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

What 2 numbers add to get -9 and multiply to get -30?​

Answers

Answer:

[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

Step-by-step explanation:

Let be x the first number and y the second number.

So we have:

[tex]x+y=-9[/tex] (1)

[tex]x*y=-30[/tex] (2)

Solve x from equation 1 and put it into equation 2

[tex]x=-9-y[/tex]

[tex](-9-y)*y=-30[/tex]

[tex]-9y-y^{2}=-30[/tex]

[tex]y^{2}+9y-30=0[/tex]

Solving this quadratic equation and put it on the equation (1) the solutions will be:

[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]

I hope it helps you!

m∠RST =______because they are __________ (Fill in the blanks)

Answers

Answer:

∠RST = ∠SRU because they are alternate angles.

Step-by-step explanation:

Hope it helps .

Divide 4000 into two parts such that 15% of the first part equals 25% of the second part.​

Answers

.15x=.25y 4000-x=y
X= entire first part
Y=entire second part

,15x=,25(4000-x)
.15x= 1000-.25x
2/5x=1000
2x=5000
x=2500

4000-x=y
4000-2500=y
y=1500

Check*

.15x=.25y
.15(2500)=.25(1500)
375=375

Would appreciate a brainlist ty :)
.

Volume How many fluid ounces are in each size?



1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart



1 Quart = _________fl oz

Answers

Answer:

32

Step-by-step explanation:

a quart is four cups 8,16,24,32 so 32

Answer: 1 Quart is equal to 32 fluid ounces (oz).

Step-by-step explanation:

The equation |x-3| = 4 has what solutions?

Answers

Answer:

x-3=4

x=4+3

X=7

or

x-3=-4

x=-4+3

x=-1

-1 and 7

Step-by-step explanation:

Any equation within the | | notation is an absolute value, where the the value of the equation can only be positive.

So within the notation, we have two possibilities to the solution, a positive and negative value.

In other words, |4| = 4 and |-4| = 4

Hence, we only need to substitute x with an appropriate integer to satisfy the answer.

|x - 3| = 4

substitute x = 7

|7 - 3| = 4

|4| = 4

substitute x = -1

|-1 - 3| = 4

|-4| = 4

Therefore the solutions to x is x = 7 and x = -1.

A used automobile dealership recently reduced the price of a used compact car by ​%. If the price of the car before discount was ​$​, find the discount and the new price.

Answers

Answer:

$1674

$16926

Step-by-step explanation:

A used automobile dealership recently reduced the price of a used compact car by 9%. If the price of the car before the discount was $18,600, find the discount and the new price?

Discount = percentage discount x original price

0.09 x  $18,600 = $1674

New price = original price - discount

$18,600 - $1674 = $16926

Please help me out I don't remember how to do this

Answers

Answer:

D)

Step-by-step explanation:

0.04, 0.40, 4.04, 40.04

Triangle ABC is similar to triangle DEF. Find the measure of side EF. Round your

answer to the nearest tenth.

B

50

F

D

41

HELP PLEASEEEE

Answers

Answer:

83.5units

Step-by-step explanation:

Find the diagram attached

Since both triangles are similar, then;

AB/DB = BC/EF

11/54 = 17/EF

Cross multiply

11EF = 17 * 54

11EF = 918

EF = 918/11

EF = 83.5

Hence the length of EF to the nearest tenth is 83.5units

The radius of the circle is 7 cm. What is the area of the shaded part? Use π = 227​

Answers

Answer:

227 * 7^2

Put into calculator

Step-by-step explanation:

Area of a circle is pi * r^2 (pi times radius squared)

Just put the numbers in

227 * 7^2

Put into calculator and there you go

Which steps can be done to both sides of the equation to determine the value of x ?

3.2.2 - 9.6 = 38.4
A. subtract 9.6, then multiply by 3.2.
B. Add 9.6, then multiply by 3.2.
C. Add 9.6, then divide by 3.2.
D. Subtract 9.6, then divide by 3.2.

Answers

Answer:

C. Add 9.6, then divide by 3.2.

Step-by-step explanation:

[tex]3.2x−9.6=38.4[/tex]

[tex]3.2x=38.4+9.6[/tex]

[tex]3.2x=48[/tex]

[tex]x = \frac{48}{3.2} [/tex]

[tex]x = 15[/tex]

Hope it is helpful...

Determine the value of x.

A right triangle has 2 sides with a length of 6 centimeters. The length of the hypotenuse is x centimeters.

Answers

Answer:

6^2 + 6^2 = 72 sqrt(72) =     8.49

Step-by-step explanation:

use pythagorean therom a^2 + b^2 = c^2

where c is the hyp.

Answer: 6 sqrt 2

Step-by-step explanation:

Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees.

Parallelogram P Q R S is shown. Angle Q is (20 + 2 x) degrees and angle R is (6x) degrees.

What is the value of x?

5
10
20
25

Answers

Given:

In parallelogram PQRS, [tex]m\angle Q=(20+2x)^\circ,\ m\angle R=6x^\circ[/tex].

To find:

The value of x.

Solution:

In a parallelogram, the consecutive interior angles are supplementary angles.

In parallelogram PQRS,

[tex]m\angle Q+m\angle R=180^\circ[/tex]            (Supplementary angles)

[tex](20+2x)^\circ+(6x)^\circ=180^\circ[/tex]

[tex](20+8x)^\circ=180^\circ[/tex]

[tex]20+8x=180[/tex]

Subtracting 20 from both sides, we get

[tex]8x=180-20[/tex]

[tex]8x=160[/tex]

Divide both sides by 8.

[tex]\dfrac{8x}{8}=\dfrac{160}{8}[/tex]

[tex]x=20[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

Write this number in scientific rotation. 1,490,000.
Answer and explain.

Answers

Answer:

4.9 x 10^5

Step-by-step explanation:

the answer is 4.9 x 10^5

1.49 x 10^6

1 490 000 = 1.49 x 1 000 000 = 1.49 x 10^6

Solve 12x + 5 = 4x + 37

Answers

Step-by-step explanation:

12x-4x=37-5

8x=32

x=32/8

x=4

Which statements are true about the graph of
y< 2x + 1? Check all that apply.
y < 2
The slope of the line is 1.
O The line is solid.
The area below the line is shaded.
A solution to the inequality is (2, 3).
The x-intercept of the boundary line is (-3,0).

Answers

Answer:

I think the answer is The x-intercept of the boundary line is (-3/2,0).

Step-by-step explanation:

the x-intercept of boundary line is (-3,0)

Step-by-step explanation:

hope it helps thanks❤

Hello help me with these ones pls

Answers

Answer:

(-1,3)

Step-by-step explanation:

Solve for x in the first equation

3x = 6 - 3y

9x - 5y= -24

Replace all occurrences of x with 2 - y in each equation

9(2 - y) - 5y = -24

x = 2 - y

Simplify the left side

18 - 4y = -24

x = 2 - y

Solve for y in the first equation

-14y = -42

x = 2 - y

y=3

x = 2- y

Replace all occurrences of y with 3 in each equation

x=-1

y=3

(-1,3)

Hope this helps!

Please give brainliest :)

If you need more help with these types of equations reach out to me!

Simplifying

3x + 6 = 9x + -24

Reorder the terms:

6 + 3x = 9x + -24

Reorder the terms:

6 + 3x = -24 + 9x

Solving

6 + 3x = -24 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

6 + 3x + -9x = -24 + 9x + -9x

Combine like terms: 3x + -9x = -6x

6 + -6x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 0

6 + -6x = -24 + 0

6 + -6x = -24

Add '-6' to each side of the equation.

6 + -6 + -6x = -24 + -6

Combine like terms: 6 + -6 = 0

0 + -6x = -24 + -6

-6x = -24 + -6

Combine like terms: -24 + -6 = -30

-6x = -30

Divide each side by '-6'.

x = 5

Simplifying

x = 5

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