A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point. (6 points)
Step-by-step explanation:
The density formula is: Density =mass/vol
---> 2.76 =812.04 / Vol ---> Vol= 812.04 / 2.76= 294.22
The answer is 294.22
The volume of the emerald with mass 812.04 grams and density 2.76 grams/cubic cm is [tex]294.22 \: \rm cm^3[/tex] approximately.
How are density, volume and mass of a substance related?Suppose that a finite amount of substance is there having its properties as:
mass of substance = m kgdensity of substance = d kg/m³volume of that substance = v m³Then, they are related as:
[tex]d = \dfrac{m}{v}[/tex]
For this case, we have:
mass of substance = m = 812.04 gdensity of substance = d = 2.76 g/cm³volume of that substance = v cm³Then, we have:
[tex]d = \dfrac{m}{v}\\\\v = \dfrac{m}{d} = \dfrac{812.04}{2.76} \approx 294.22 \: \rm cm^3[/tex]
Thus, the volume of the emerald with mass 812.04 grams and density 2.76 grams/cubic cm is [tex]294.22 \: \rm cm^3[/tex] approximately.
Learn more about volume, mass and density here:
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What is the number that when you multiply by six and subtract four to the product you get 32
Answer:
6
Step-by-step explanation:
32 + 4 = 36
36 / 6 = 6
Answer:
28
Step-by-step explanation:
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5 students are riding in a car that is driven by a parent. Oden wants to know the probability that he gets to ride in the front seat.
Answer:
1 out of 5 or 20% chance
Step-by-step explanation:
An initial population if 1000 starfish double each year for 4 years. What is the population after 4 years?
Answer:
16,000 starfish
Step-by-step explanation:
year 0: 1000
year 1: 2000
year 2: 4000
year 3: 8000
year 4: 16000
If you borrow $5000 at an interest rate of 8% for 9 years how much interest will you pay? (I got $3600 but I don't know if its right)
Step-by-step explanation:
Principal:- $5000
Rate= 8%
Time = 9 years
Interest = P×R×T/100
= 500×8×9/100
= 5×8×9
= 40×9
= 360
Hence, Interest = $360.
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help with number 2 pls it’s urgent!!’
Answer:
Step-by-step explanation:
24
I need help with these questions, please show the work too
Answer:
multiply across divide up and down
Step-by-step explanation:
cross division and cross multiplication
please help i don't understand
Answer:
Step-by-step explanation:
the answer is 3/7
Answer:
3/7
Step-by-step explanation:
You could also write this expression as 3(1/7): "three times one seventh."
Multiplying the '1' by the '3' yields the desired fraction: 3/7
I give Brian list some one help
Answer:
1
Step-by-step explanation:
becuse of the nubers you would take them and put them on the graph
Answer:
option (3)
Step-by-step explanation:
The inequality
- 8 ≤ x < 6
indicates that x can equal - 8 but not 6
In interval notation the square bracket [ is used for can equal and the parenthesis ) for cannot equal , then
[ - 8, 6 ) is the equivalent way to state the interval
2. A triangle has the angle measures 40 degrees, 60 degrees, and x degrees. If the sum of the angle measures is equal to 180 degrees, which equation could be used to correctly solve for x? Mark all that apply. (2 Points)
1. X - 100 = 180
2. 180 = 40 + 60 + X
3. 100x = 180
4. X + 100 = 180
Answer:
2 and 4
Step-by-step explanation:
Questions about the domain (time in minutes) of the table of values:
(a) What is the minimum (lowest) time value in minutes?
(b) What is the maximum (highest) time value in minutes?
(c) What is the domain (all the time values on the x-axis)?
Need Help?
Which graph could Gianna use to solve the equation 2^x=10?
Answer:
The top right graph
Step-by-step explanation:
This would the one since the line goes horizontally through ten. While it also goes up by a count of 2 for each point and over 1.
Answer:
top right
Step-by-step explanation:
i did it on I.M.
find the length of the segment pls help
Answer: 5.1
Step-by-step explanation:
pythagorean theorem: a^2+b^2=c^2
c^2-b^2=a^2 (switch around some things)
(14.9)^2 - (14)^2 = x^2 (insert values) c=14.9,b=14,a=x
222.01 - 196 = x^2
26.01 = x^2
5.1 = x
Answer:
x = 5.1
Step-by-step explanation:
The radius of the circle is 14.9
Using Pythagoras' identity in the right triangle on the left where the hypotenuse is the radius
x² + 14² = 14.9²
x² + 196 = 222.01 ( subtract 196 from both sides )
x² = 26.01 ( take the square root of both sides )
x = [tex]\sqrt{26.01}[/tex] = 5.1
WILL MARK BRAINLIEST!!! Please solve the whole page with work!! It will be very much appreciated and I will heart the correct comment and give it 5 stars
Answer:
its only 5 points tho :c
Step-by-step explanation:
A $500 snowboard is on sale for 20% off so there is an 8% sales tax Wade has $425 does he have enough to purchase to snowboard yes or no
Answer:
that is$ 160 ok alright jf
What goes first in pemdas, addition or subtraction?
For example:
[tex]10w - 5w + 2w[/tex]
what goes first, 10w- 5w or 5w- 2w ??
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determine the equation of line (AB)
A(I;1) and B(0;5)
Given:
Consider the two points are A(1,1) and B(0,5).
To find:
The equation of the line AB.
Solution:
If a line passes through the two points, then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
We A(1,1) and B(0,5). So, the equation of line AB is:
[tex]y-1=\dfrac{5-1}{0-1}(x-1)[/tex]
[tex]y-1=\dfrac{4}{-1}(x-1)[/tex]
[tex]y-1=-4(x-1)[/tex]
[tex]y-1=-4x+4[/tex]
Add 1 on both sides, we get
[tex]y=-4x+4+1[/tex]
[tex]y=-4x+5[/tex]
Therefore, the equation of the line AB is [tex]y=-4x+5[/tex].
which equation has solutions of -2 and 3?
A. y= x^2+x-6
B. y= x^2-x-6
C. y=x^2 +5x+6
D. y=x^2-5x+6
Answer:
b. y= x^2-x-6
Step-by-step explanation:
i hope this helps :)
HELP PLEASE LOL!!!!!!!!!
Answer:
[tex]x - 8[/tex]
Step-by-step explanation:
Complete the square.
[tex] {x}^{2} - 16x + 64 = 0[/tex]
[tex] {x}^{2} - 16x = - 64[/tex]
[tex] {x}^{2} - 16x + 64 = - 64 + 64[/tex]
[tex](x - 8) {}^{2} = 0[/tex]
[tex]x - 8 = 0[/tex]
[tex]x - 8[/tex]
The common factors of 12 and 21 are?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
•Factors of 12 are 1, 2, 3, 4, 6 and 12 ... ... because 2 × 6 = 12, or 4 × 3 = 12, or 1 × 12 = 12
•Factors of 21: 1, 3, 7, 21
y = -3x+ 12
y-intercept:
X-intercept:
Answer:
x= 4
y= 12
Step-by-step explanation:
i hope this helps :)
Write the equation of a line that is perpendicular to x = -1 and that passes through the Point (8, -4).
Answer:
y = - 4
Step-by-step explanation:
x = - 1 is the equation of a vertical line parallel to the y- axis
The equation of a line perpendicular to it will therefore be a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (8, - 4 ) with y- coordinate - 4 , then
y = - 4 ← equation of perpendicular line
17+b+=60
2/7 3/7 9/7 10/7 43 71 Answers Need Help ASap
Answer:
Answer should be 43
Step-by-step explanation:
take 17 from 60 and then because its just B it equals to 1 then you divide 43 from 1 and its just 43.
help if you can plzz
Answer:
How?
Step-by-step explanation:
15 = -4p + 7
solving equation
Answer:
p = -2
Step-by-step explanation:
15 = -4p + 7
4p + 15 = 7
4p + 15 - 15 = 7 - 15
4p = -8
4p/4 = -8/4
p = -2
a small company that prints custom t shirts has 6 employees one of whom is the owner
You buy 1.65 pounds of oranges and 2.25 pounds of plums. Oranges and plums sell for the same price per pound. The total cost, after using a 65¢-off coupon, is $3.64. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
Answer:
C=(3.64+0.65)/(1.65+2.25)
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Answer:
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Step-by-step explanation:
Cookies-x
Cakes-y
x+y=64; he sold a total of 64 cakes and cookies.
x=3y-4; he sold 4 less (-4) than 3 times (3y) the number of cakes he sold.
does anyone know the answer?
Answer:
A. g(x) = 42 - 0.6x
Step-by-step explanation: