Answer:
x = 2
y = -2
Step-by-step explanation:
N.B. Assuming the first equation is actually 3x + 4y = -2
The elimination method is an incredibly useful tool used to save large amounts of time when working with small systems of equations.
First, set one variable in the top equation to have an equal coefficient as that same variable in the bottom equation.
3(3x + 4y) = 3(-2)
Then, you are left with this. Simply subtract the equations.
9x + 12y = -6
9x - 10y = 38
0 + 22y = -44
Then, simply solve
y = -2
9x + 20 = 38
9x = 18
x = 2
Hope it helps :) and let me know if you want me to elaborate.
A company is considering purchasing the mineral rights to two different mountains. The probability that it will purchase the mineral rights to the first mountain is 0.55. The probability that it will purchase the mineral rights to the second mountain is 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains?
a. 0.4
b. 0.45
c. 0.51
d. 0.49
Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:
c. 0.51
If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, these following two events result in the rights of exactly one of the two mountains being bought:
First bought(0.55 probability), second not(0.6 probability).First not bought(0.45 probability), second bought(0.4 probability).Hence:
[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]
Thus, option c is correct.
A similar problem is given at https://brainly.com/question/24174994
What are the solutions to the equation |X – 3|= 14?
x= 11 only
Ox= -11 and x = 17
x= 17 only
x= -11 and x=11
Answer:
{-11,17}
Step-by-step explanation:
|X – 3|= 14
There are two solutions to an absolute value, one positive and one negative
x-3 = 14 and x-3 = -14
Add 3 to all sides
x-3+3 =14+3 x-3+3 = -14+3
x = 17 x = -11
x = {-11,17}
quellle expression algébrique représente l'aire totale d'un cude dont chauqe coter messure 1,5x
Answer:
sorry bro I don't understand your language
On the first day, a shoe shop sold 40 pairs of shoes and every day after it sold 20 more pairs of shoes.
Write an equation in slope-intercept form that describes the number of shoes sold.
Answer:
Step-by-step explanation:
In the year 2000, the population of Florida was 16 million people. Since then, the population has grown at least 2% each year. How many years will it be before the state's population is at least 30 million people? Round to the nearest tenth of a year.
Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.
An increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem:
The initial population is of 16 million people, hence [tex]A(0) = 16[/tex].The growth rate is of 2%, hence [tex]r = 0.02[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 16(1 + 0.02)^t[/tex]
[tex]A(t) = 16(1.02)^t[/tex]
It will be 30 million after t years, for which A(t) = 30, hence:
[tex]A(t) = 16(1.02)^t[/tex]
[tex]30 = 16(1.02)^t[/tex]
[tex](1.02)^t = \frac{30}{16}[/tex]
[tex](1.02)^t = 1.875[/tex]
[tex]\log{(1.02)^t} = \log{1.875}[/tex]
[tex]t\log{1.02} = \log{1.875}[/tex]
[tex]t = \frac{\log{1.875}}{\log{1.02}}[/tex]
[tex]t = 31.7[/tex]
It will take 31.7 years for the state's population to be of at least 30 million people.
A similar problem is given at https://brainly.com/question/14773454
Which term of the arithmetic sequence 1, 5, 9, 13, ... is 169?
It is the
th term.
Answer:
43rd term
Step-by-step explanation:
Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.
So, (169-1)/4=42.
This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!
A swimming pool started with 24 gallons
of water. It is filled with 2,000 gallons
per hour. If there are now 4,850
gallons of water in the swimming pool,
how many hours has it been filling up
with water?
Answer:
3 hours
Step-by-step explanation:
each hour is 2,000 gallons filled up 1 hour = 2,000
2 hours = 4,000
3 hours = 6,000or 4,850
If the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
How many hours has the swimming pool been filling up with water?Given that;
24 gallons of water in the pool to start withThe swimming pool is filled with 2,000 gallons per hourTime taking in filling up 4,850 gallons.The pool is filled with 2,000 gallons in 1 hour
To fill with 4850 gallons, we require x hours
Cross multiply, hence;
x = ( 1hr × 4850 gallons ) / 2,000 gallons
x = 4850hrs / 2000
x = 2.4 hours
Therefore, if the swimming pool is filled with 2,000 gallons per hour, time taken to fill it with 4,850 gallons of water is 2.4 hours.
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the diagonal of a cube is root 12. What is the edge?
Step-by-step explanation:
Given length of diagonal of a cube = √12 cm Recall that length of diagonal of a cube = √3 × Length of edge of the cube ⇒ √12 = √3 × Length of edge of the cube ∴ Length of edge of the cube = √12 / √3 = 2√3 / √3 = 2 Thus the edge of the given cube is 2 cm
is every rhombus a rectangle
Answer:
No
Step-by-step explanation:
Some rhombus doesn’t have all 90 degrees angles and that is an requirement for rectangles.
easy one - giving brainly if correct - show work.
my teacher said this was wrong so what's the correct answer? answer both!
Answer:
a = 9.6 b = 11.2
Step-by-step explanation:
10 percent of 8 is .8
8 + (8 x .1) = 8.8
8.8 + .8 = 9.6
She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6
When you do 8+1.6 it equals 9.6
For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2
8+3.2 = 11.2
She will be paid 11.2 dollars after 2 full years of working.
Your answer isnt wrong, I dont know why your teacher is saying it is.
5y - 31
Р
6x - 2y
2y + 5
4x + 4
T
R
S
7x - 17
you take each other you do multiplication and you have answer
The length, breadth and height of a cuboid are in the ratio 6:3:5. If the total surface area is 504cm2, calculate area of 4 walls
please answer quick (i will mark as brainliest)
thank u
Step-by-step explanation:
metallic when has is equipment death of amiloride open interval a b payment to see payment payment details
help me please!!!!!! 20 points!
Answer:
Step-by-step explanation:
2x = x + 40
2x - x = x - x + 40
x = 40
∠I = ∠Q = 33°
∠H = ∠P = 80°
∠J = ∠R = 67°
a square lot has a side of 8 5/8 meters,what is the area of the lot?
Choose the steeper line.
y=-6x+1
or
y=-3x-2
Answer: y=-3x-2
Step-by-step explanation:
Slope is rise over run. The slope of y=-3x-2 is -3, which is 1 down/up and 3 to the right/left. The slope of y=-6x+1 is -6 which is 1 down/ up and 6 to the right/left. When the graph is going 3 steps to the right/left, it is steeper than when its going 6 steps to the right/left.
The figures in the oval on the left are parallelograms. The figures in the oval on
the right have sides that are equal. In which section should a rhombus be
placed?
A
Parallelograms
Equilateral
B
С
square
rectangle
D
regular
pentagon
section D
section A
1) section c
section B
Answer:
The answer is C
Step-by-step explanation:
C D
U
Refer to the Venn diagram for the following questions.
9
What would best describe the universal set U?
A
B
6
6
3
What would best describe set A?
5
07
2
00
8
What would best describe Au B?
7
4
What would best describe An B?
Intro
<
Done
Answer:
What would best describe the universal set U?
positive integers less than 10
What would best describe set A?
prime numbers in U
What would best describe A ∪ B?
numbers in U that are prime or even
What would best describe A ⋂ B?
even prime numbers in U
Hope it helps!
The universal set is the set of all natural numbers less than or equal to 9
The description of the universal set UThe sets are given as:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
Number 1 and 9 are outside the circles.
The universal set is the collection of all elements in the set.
i.e.
U = {1,2,3,4......9}
Hence, the universal set is the set of all natural numbers less than or equal to 9
The description of set AWe have:
A = {2, 3, 7, 5}
The elements of set A are prime numbers between 2 and 7 (inclusive)
Hence, the set A is the set of all prime numbers from 2 to 7
The description of set A u BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A u B is all elements in both sets.
So, we have:
A u B = {2,3,4,5,6,7,8}
Hence, the set A u B is the set of all natural numbers from 2 to 8
The description of set A n BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A n B is the common elements in both sets.
So, we have:
A n B = {2}
Hence, the set A n B is 2
Read more about Venn diagrams at:
https://brainly.com/question/4910584
Solve for x, then find each angle measure
Answer:
x=13
Q=30
P=126
R=24
Step-by-step explanation:
To find x put them all into an equation like this:
(4x-22)+(10x-4)+(x+11)=180 (we get 180 because all three angles of any triangle always equal 180)
calculate and you'll get x=13.
then to find each angle just put 13 in place of x
4(13)-22=30
10(13)-4=126
(13)+11=24
please someone help me answer this question. file is attached.
Answer:
ok so im pretty sure it is 6 pans with 2 cups left over
Step-by-step explanation:
so 2 1/2 times 6 is 15 since we cant get it exactly, so you use 6 which is 15 and you figure out what was leftover which is 2
What’s the slope or fraction?
Find the value of x-5 when x= 15
Answer:
15 - 5 = 10 wow that was so hard
Answer:
the awnser is 10
Step-by-step explanation:
x=15 so
15-5=10
How did the Twenty-fourth Amendment to the Constitution affect African Americans?
A. By defining citizenship, it meant all African Americans were entitled to due process.
B. By allowing citizens to directly elect senators, it gave African Americans a greater voice in the government.
C. By banning slavery, it meant millions of African Americans were free from bondage.
D. By eliminating poll taxes, it meant more African Americans could vote.
Answer:
The answer is D,..................
Step-by-step explanation:
D
What times -1/2 x what = -20?
Answer:
40
Step-by-step explanation:
Let the number be y
-1/2 × y = -20
y = -20 ÷ -1/2
y = 20 × 2
y = 40
solve 3+x>-9 A) x >3 B) x > -6 C) x>-3 x > D) x> -3
Answer: the answer should be x>-12
Step-by-step explanation:
3+x>-9
x>-9-3
X>-12
A computer virus infects files very quickly. The number of files triples every minute. After the first minute, five files are infected. (pls answer)
Options in the pic
Answer:
C
Step-by-step explanation:
The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!
Help plzzz I am not good at this!!!
Answer:
-5 (5 red chips)10 (10 yellow chips)-8 (8 red chips)Step-by-step explanation:
To complete the 1st model you have to put 5 red chips
To complete the 2nd model you have to put 10 yellow chips
To complete the 3rd model you have to put 8 red chips
But to understand why we are putting a certain number of yellow or red chips
we have to understand the zero pairs method meaning one positive and one negative zero out each other
1
message
Two friends went bowling. One friend scored 130 points and the other friend scored 83 points. How does the value represented by the 3 in 130 compare to the value represented by the 3 in 83?
It is 3 times greater
It is 10 times greater
It is 47 times greater
It is 50 times greater
Answer:
10x greater
Step-by-step explanation:
Two friends let’s say their names are
Molly Polly
130 points 83 points
Molly‘s 3 in her 130 is is the tens place
here a chart: ones Tens. Hundreds. thousands.
1265 1265. 1265. 1265
now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater
hope this helped :3
:3 byeeeeeeeeee
what i can do what can i do
Answer:
thanks for the points have a nice day
Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50
What is the value of the expression
4(2+y)
2y-z when x=2 and y=4
A.4
B.8/3
C.12/5
4(2+y)2y-z when x=2 and y=4
4(2+4)2×4-z
4(6)(8-z)
(4×6)(-8z)
24-8z
z=24÷8
8/3
Therefore 8/3 is last answer .
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [4(2 + y)] / (2y - x)
The value of the expression at x = 2 and y = 4 will be given as,
⇒ [4(2 + 4)] / [2(4) - 2]
Simplify the equation, then we have
⇒ (4 × 6) / (8 - 2)
⇒ 24 / 6
⇒ 4
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
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