Answer:
x+6
x+6
x+6 is the right ans
−x + 2y − z = 0
−x − y + 2z = 0
2x − z = 8
Step-by-step explanation:
several possibilities to solve this.
let's start with subtracting the second equation from the first
-x + 2y - z = 0
- -x - y +2z = 0
-------------------------
0 3y - 3z = 0
y - z = 0
y = z
now we use this in e.g. the first equation :
-x + 2z - z = 0
-x + z = 0
z = x (therefore, also x = y)
now we use this in the third equation :
2x - x = 8
x = 8 = y = z
5. Seismologists use the Richter scale to measure the magnitudes and intensity of
earthquakes that occur all over the earth. (see below, some info about Richter scales,
and intensity formula)
Let's say an earthquake hit Santa Monica, CA and had a magnitude of 6.2. If another
earthquake hit Charleston, SC and was a magnitude of 3.8, then how much more
intense was the earthquake in LA?
Student's Work
Student's Answer
A. 251.19 times
B. 11.02 times
C. 42.81 times
D. 2.4 times
Some additional Richter scale info...
A common logarithm is a logarithm with base 10. You can write a common logarithm logio * simply as log x, without
showing the 10
Many measurements of physical phenomena have such a wide range of values that the reported measurements are
logarithms (exponents) of the values, not the values themselves. When you use the logarithm of a quantity instead of the
quantity, you are using a logarithmic scale. The Richter scale is a logarithmic scale. It gives logarithmic measurements
of earthquake magnitudo.
1
3) 1 Hot 10
Intensity formula:
-
= M - M₂
-
log
12
Applying logarithms, it is found that the earthquake in LA was 251.19 times more intense, and the correct option is A.
The logarithm of the ratio of intensity of two earthquakes of magnitudes [tex]M_1[/tex] and [tex]M_2[/tex] is given by:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\frac{I_1}{I_2}[/tex] gives how much more intense earthquake 1 is compared to earthquake 2.In this problem, [tex]M_1 = 6.2, M_2 = 3.8[/tex], then:
[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]
[tex]\log{\frac{I_1}{I_2}} = 6.2 - 3.8[/tex]
[tex]\log{\frac{I_1}{I_2}} = 2.4[/tex]
[tex]10^{\log{\frac{I_1}{I_2}}} = 10^{2.4}[/tex]
[tex]\frac{I_1}{I_2} = 251.19[/tex]
Hence, the earthquake in LA was 251.19 times more intense, and the correct option is A.
A similar problem is given at https://brainly.com/question/2528611
PLEASE HELP:
Check for understanding:
Answer:
P = 106
A = 330
Step-by-step explanation:
= 2(l+w) (perimeter of rectangle)
= 2·(18+15)
= 66
picture below of perimeter of right angle triangle
Add both values
P= 66 + 40
P = 106
= w*l (Area of rectangle)
=15·18
= 270
= ab/2 ( Area of triangle )
= 8·15/2
=60
Add both values
A = 60 + 270
A = 330
I hope it helps
someone help me with this it’s literally easy but i’m still having a hard time to do it
Answer:
m2= 83 m1=97 m4=83
Step-by-step explanation:
m3 and m1 are corresponding by being verticle so they're the same
m3 and m2 are supple whcih mean they add to 180, so subtract 180-97 which is 83.
m2 and m4 are corresponding by being verticle so they're the same
Let f(x) =
=(x^2-16x+39
Divide by X-3
a,if x #3
if x = 3
Answer:
Step-by-step explanation:
x² - 16x + 39 = ( x - 3 )( x - 13 )
a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon?
Answer: 5in
Step-by-step explanation:
1/3x8/8=8/24
1/8x3/3=3/24
8-3=5
joey’s town voted on a new speed limit . 40 % of the 25 votes were in favor of the new speed limit . How many votes were in favor ?
Step-by-step explanation:
I don't know the answer really
I was absentee and i dont know how to solve it help plz
Answer:
-1/3 or 1/-3 (it doesn't matter which one you pick because its still the same)
Step-by-step explanation:
You find slope by doing rise over run. Its left to right so you start on the left dot and go down one. This makes it -1 because you're going down, not up. You move 3 to the right which makes it positive. Once you do this itll lead you right the the 2nd point. 1 down= -1
3 right= 3
-1/3
area of a triangle b-2s^2+3t^2 h-4s^2-3t^2
Answer:
1 flmpysc - ax + x - y - 2
this could help
single simplified fraction
X/3+X/5
You plant 9 rows of different bulbs in a garden. For each row, you use the rule, “onion, onion, garlic, flower.” How many garlic and flower bulbs do you plant altogether? How many bulbs do you use in all?
Answer:
18; 36
Step-by-step explanation:
If there's 9 rows of "onion, onion, garlic, flower", then you repeat this cycle 9 times.
onion, onion, garlic, flower(1)
onion, onion, garlic, flower(2)
onion, onion, garlic, flower(3)
onion, onion, garlic, flower(4)
onion, onion, garlic, flower(5)
onion, onion, garlic, flower(6)
onion, onion, garlic, flower(7)
onion, onion, garlic, flower(8)
onion, onion, garlic, flower(9)
Add up the garlic and flower bulbs, which equals 18. Then add up all of the bulbs, which is 36.
-hope it helps
Which of the following numbers can be expressed as a decimal that terminates? 3/2,2/3,3/4,5/7
Answer:
Step-by-step explanation:
An example of one fraction that does NOT terminate is 2/3.
2/3 = 0.666666666666666 .... That's the easy way to tackle the problem. Pick out the ones that don't terminate.
5/7 is the other one. It does not terminate either. It has 6 digits in a block that keeps on repeating itself forever.
5/7 = .571428 571428 which goes on forever.
So the two that do terminate are
3/2 which = 1.5
3/4 which = 0.75
I need Someone to help me with this problems equation and answer must be correct (100 Points)
Answer:
1) 3x+18=45 x=9
2)8-5x=-7 x=3
3)3+2x=15 x=6
4) 12million - 2 million = 10 million
Step-by-step explanation:
Is 7,301,771 divisible by 6?
[tex]\huge\boxed{Hi\: there!}[/tex]
[tex]\huge\mathfrak{Question:}[/tex]
Is 7,301,771 divisible by 6?
[tex]\huge\mathfrak{Answer:}[/tex]
No.
Remember, divisible by means the given number can be divided by a number without a remainder.
If we divide 7,301,771 by 6, we will get a remainder.
[tex]\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}[/tex]
[tex]\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}[/tex]
A bakery has 18 large trays of bagels and 20 small trays of bagels. Each large tray holds 30 bagels and each small tray holds 15 bagels.
Which equation could be used to find n, the total number of bagels the bakery has?
18 + 30 × 20 + 15 = n
18 × 30 + 20 × 15 = n
18 + 30 + 20 + 15 = n
18×30−20×15=n
Choose wisley
James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?
Yes because if you do 19.99 times 6 you get 119.94
Simplify the square root of 5 times the cube root of 5.
I know the answer is, five to the five sixths power but I would like to know the steps to solve it.
Please help me with it, I'm not doing so well right now, and I need help.
Answer:
Step-by-step explanation:
The variables x and y are directly
related. When x=15, y = 6. What is the
value of x when y = -4?
Poppy is the manager of a unisex hair salon.
The salon uses a mixture of three products for hair colouring
This table shows the number of millilitres (ml) of each product used for the mixture
Product
Amount
Colour
30ml
Developer
60ml
Conditioner
60ml
Poppy has the following amount of each product in stock
3.5 litres of Colour
0.5 litres of Developer
2.2 litres of Conditioner
The salon has about so appointments for hair colouring per month
Poppy can only order products in whole litres.
For next month, she thinks she has enough colour and conditioner in stock but she needs to
order 4 litres of developer
24 Is Poppy correct?
Explain your answers
Show your working
Examiner
use only
(5 marks)
The content of the mixture, which are the colour, developer, and
conditioner, are in a fixed proportion to each other.
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.Reasons:
The table of the amount of each product used in the mixture are;
[tex]\begin{tabular}{|c|c|c|c|}Product&Colour&Developer&Conditioner\\Amount&30 ml&60 ml&60 ml\end{array}\right][/tex]
The number of appointment per month = 50
The quantities used per month have a proportional relationship
Quantity used a month are;
Colour = 30 ml × 50 = 1,500 ml
Developer = 60 ml = × 50 = 3,000 ml
Conditioner = 60 ml × 50 = 3,000 ml
Quantity available are;
Colour = 3.5 liters
Developer = 0.5 liters
Conditioner = 2.2 liters
The quantity needed = Quantity used - Quantity available
Therefore;
Quantity needed are;
Colour = 1,500 ml - 3,500 ml = -2,000 ml
Developer = 3,000 ml - 500 ml = 2,500 ml
Conditioner = 3,000 ml = 2,200 ml = 800 ml
Therefore, Poppy has enough colour but she needs 2,500 ml of developer and 800 ml conditioner
Therefore, she should order;
3,000 ml = 3 liters of developer
1,000 ml = 1 liter of conditioner
Therefore;
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.
Learn more about proportional relationships here:
https://brainly.com/question/25610267
https://brainly.com/question/14567016
Ed is 7 years older than ted. Ed is also 3/2 times teds age. How old are ed and ted
Answer: Ted is 14 years old, Ed is 21 years old
Answer: Ted is 14 years old, and Ed is
21 years old.
Explanation is in the image.
Graph question
f(x)=3/5x-5
two points of function
Step-by-step explanation:
1) plot a point at (0,-5)
2) count 3 units up and 5 units to the right, plot the new point
3) connect the points with a straight line
arithmetic sequence, can anyone help with this questions plz?
Answer:
Add 2/3
Step-by-step explanation:
2/3 + 2/3 = 4/3 + 2/3 = 6/3 (or 2) + 2/3 = 8/3 +2/3 = 10/3
The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?
100 mph per hour
Step-by-step explanation:
solution
speed of auto mobile=50mph
distance already traveled when the airplane took out in pursuit=200miles
time taken to overtake the car=4 hours
Now,
let the speed of airplane be X
X=50×4+200
or,X=200+200
or,X=400
or, X=400÷4
Therefore, X=100
are in the ratio of 3:4. If the first number is decreased by 5, and
the second number is increased by 5, the new ratio will be 2 : 3. What are the two
numbers?
Answer:
the first number is 75 and the second number is 100
Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres and its perimeter is 122 milimetres.
Length =l
Height = h
Area function = l * h = 924
Perimeter function = 2i + 2h = 122
Divide by 2
I + h = 61.
Plug in I or h for the other variable
I * (61 - I) = 924
61i - i^2 = 924
Factor the function
(-I + 28)(I - 33) = 0
l = 33 as l cannot be negative
61 - 33 = 28
h = 28
Difference between h and l is 33-28=5
These are so random? I don’t know why I have to put these? Ignore them
Find the value of x given that the area of the triangle is 8 ft2.
(x + 1) ft
(3x - 7) ft
Answer:
Step-by-step explanation:
What is 1.231 rounded to the nearest hundredth?
1.23 would be your answer.
Have a great day! :)
If A = -3n + 2, and B = 5n - 7, what is the value of A - B, in simplest form?
Answer:
2n-5
Step-by-step explanation:
So you would combine your like terms witch would be -3n+5n which would give you 2n then you would do 2-7 and get -5 then you get you answer 2n-5
The value of (A - B) in the simplest form is (A - B) = -8n + 9.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equations are A = -3n + 2 and B = 5n - 7.
The value of A - B is:
A - B
= -3n + 2 - (5n - 7)
= -3n + 2 - 5n + 7
= -8n + 9
Hence, the value of (A - B) in the simplest form is (A - B) = -8n + 9.
Learn more about equations here:
https://brainly.com/question/10413253
What rational number represents a drop of 4 1/4 in?
Enter your answer in the box.
Answer:
The fraction 1/4 is a rational number.
It stands for the ratio between the integers 1 and 4.
Answer:
this is your answer
Step-by-step explanation:
this is your answer
