Step-by-step explanation:
We know that...
x+y (from the first pair) corresponds to 8(in the second pair)..
0 (from the first pair) corresponds to x-y (in the second pair)..
Hence,
[tex]x + y = 8 \\ x - y = 0[/tex]
By simply adding the two equations we get,
[tex]2x = 8 \\ x = 4[/tex]
Hence,
By substituting x=4, we get that y=4
Hence,
x=y=4
What pattern do you notice in the numbers below?
1 = 1 × 1, and 1 × 1 × 1
64 = 8 × 8, and 4 × 4 × 4
729 = 27 × 27, and 9 × 9 × 9
4,096 = 64 × 64, and 16 × 16 × 16
i think 48888 because i think so and you do to
Answer:
Jose is 52 ½ inches tall. His younger sister is 13 ⅔ inches shorter than him. How tall is his sister? HELPPLEASE 60 points
Answer:
38.83 inches
Step-by-step explanation:
Jose: 52 1/2
Sister: 52 1/2 - 13 2/3
His sister is 38.83 inches
Answer:
38 5/6 inches
-5(2x-5)-3x-5=7 solve for x
Answer:
x = 1
Step-by-step explanation:
Step 1: Write equation
-5(2x - 5) - 3x - 5 = 7
Step 2: Solve for x
Distribute -5: -10x + 25 - 3x - 5 = 7Combine like terms: -13x + 20 = 7Subtract 20 on both sides: -13x = -13Divide both sides by -13: x = 1Step 3: Check
Plug in x to verify it's a solution.
-5(2(1) - 5) - 3(1) - 5 = 7
-5(2 - 5) - 3 - 5 = 7
-5(-3) - 8 = 7
15 - 8 = 7
7 = 7
A line passes through (6,-3) and has a slope of 2. What is an equation of the line?
Help me solve this problem please
Answer:
a
Step-by-step explanation:
Answer:
2d - 16
Step-by-step explanation:
16 less than twice d
first of all we know were subtracting
-16
and we know were multiplying
2d
now put it together
2d - 16
this problem can be switched
-16 + 2d
At a real estate agency, an agent sold a house for $329,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
The agency earned $14,805 and the agent earned $2,961 commission on selling the house worth $329,000 given that the commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets.
How to find how much the agency made on the house?
The commission earned by the agency is calculated as follows:
Total Commission = 4.5% × Sale Price Total Commission = 4.5% × $329,000Total Commission = $14,805
Therefore, the agency made $14,805 on selling the house.
How to find how much the agent earned in commission?
The agent commission is calculated as follows:
Commission Paid to Agent = 20% × Total CommissionCommission Paid to Agent = 20% × $14,805Commission Paid to Agent = $2,961
Therefore, the agent earned a commission of $2,961.
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I also need question three
Answer:
-4
Step-by-step explanation:
Looking at a number line, the more you go left, the less the numbers are.
Hence the number line would look something like this:
.. -6 .. -5.. -4 .. -3 .. -2 .. -1 .. 0 .. 1 .. 2 .. 3 .. 4 ..
Hence: -4 is less than -3 because it is on the left side of -3
-27=9z
Can anybody help me please?
I just started learning this, if you can can you explain how you got the answer
Answer:
Everybody has to start somewhere! The answer you are looking for is Z=-3
Step-by-step explanation:
-27=9z, start by dividing 9 from both sides, you need to separate it from z, so instead of multiplying, you must do the opposite, so you divide 9 from 9z, which makes it just z, and divide 9 from -27, which makes -27, -3. so you will get -3=z. Now switch the -3 and Z, and your answer is Z=-3. If you are still having trouble, let me know.
LASTTT ONE PLEASEE IM TRYNA GO TO BED AND WHOEVER HELPS ME HOPE YOU HAVE A WONDERFUL DAY TMR LOVE YOU!:)
Answer:
The first one or A because 3 times 2 is 6 and 4 times 2 is 8.
Answer:
y = 2x
Step-by-step explanation:
slope = y2 - y1/x2 - x1
slope = 8 - 6/ 4 - 3
slope = 2/1
slole = 2
y-intercept is y when x = 0
6 - 2/3 - 1 = 4/2
4 - 2/2 - 1 = 2/1
2 - 2/1 - 1 = 0/0
y-intercept = 0 so it doesn't appear in the formula
which of the following correctly uses absolute value to show the distance between -50 and 12?
A. |-50 - 12| = |-62| = -62 units
B. |-50 + 12| = |-38| = 38 units
C. |-50 + 12| = |-38| = -38
D. |-50 - 12| = |-62| = 62
Answer:
D
Step-by-step explanation:
Distance can't be negative (especially after using absolute value) so A and C are cancelled.
When you are trying to find the distance between the 2, you want to subtract to see how far they are away from each other.
That means B is cancelled and D is the only answer you have left :)
Answer: 62 units
Step-by-step explanation:
Can someone please tell me the reason ASAP!!
Thank you❤️!
Answer:
because base angle of isoscels triangle is congurent.
if one base is right angle then both base be rightangle.
convert the system to an augmented matrix. then reduce the system to echelon form and determine if the system is consistent. if the system in consistent, then find all solutions.
Hence, the solution of the system of linear equations is;(x, y, z) = (1/3, -1, -8/3)
To convert the system to an augmented matrix and reduce it to echelon form, we will be following the steps below;Consider the given system of linear equations;
x + 3y − 2z = −4,
2x + y + z = 3,3x − y + z = 2T
he augmented matrix for the given system is; \[\left[\begin{matrix}1&3&-2&-4\\2&1&1&3\\3&-1&1&2\end{matrix}\right]\]
To reduce the augmented matrix to echelon form, we will be using the Gaussian elimination method;Performing row operations: -2R1+R2=> R2,-3R1+R3=> R3.
\[\left[\begin{matrix}1&3&-2&-4\\0&-5&5&11\\0&-10&7&14\end{matrix}\right]\]Now, performing row operation, -2R2+R3=> R3. \[\left[\begin{matrix}1&3&-2&-4\\0&-5&5&11\\0&0&-3&8\end{matrix}\right]\]
We now have the matrix in echelon form.The matrix is consistent since there is no row where we have all zeroes except the last column.
The last equation of the augmented matrix is -3z = 8.The solution of z = -8/3 is substituted into the second equation;
-5y + 5 (-8/3) = 11 => y = -1.
The solution of y = -1 and z = -8/3 is substituted into the first equation to obtain the value of x;
x + 3(-1) - 2(-8/3) = -4 => x = 1/3.
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4x + 2y = –22 and 4x + 4y = -12
try this- a bacteria culture starts with 200 bacteria and triples in size every 10 minutes (not very pleasant!!) . after 1 hour, how many bacteria are there?
After 1 hour, there would be approximately 145,800 bacteria in the culture.
In this scenario, the bacteria culture starts with 200 bacteria and triples in size every 10 minutes. We need to calculate the number of bacteria after 1 hour, which is equivalent to 60 minutes.
Since the bacteria triple in size every 10 minutes, we can divide the total time (60 minutes) by the growth period (10 minutes) to determine how many times the bacteria triple.60 minutes / 10 minutes = 6 times
Therefore, the bacteria will triple in size 6 times over the course of 1 hour
Starting with 200 bacteria and tripling the size 6 times, we can calculate the final number of bacteria as follows:
200 * (3^6) = 200 * 729 = 145,800
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Rupa practices the Indian craft of mehndi. She buys henna powder to make a dye that
The correct statement regarding the unit rate in this problem is given as follows:
Point (1,2) shows that the unit rate is of $2 per ounce.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The point of the graph is given as follows:
(1,2) -> x = 1, y = 2.
Hence the unit rate is given as follows:
k = y/x = 2/1 = 2.
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.An object moves along a coordinate line, its position at each time t≥0 is given by x(t)=−t2+5t+1. Find the velocity at time t0=5.
a) −15
b) 3
c) 1
d) −5
e) 15
the velocity of the object at time `t₀ = 5` is `-5` (option D).
The object moves along a coordinate line, its position at each time t ≥ 0 is given by `x(t) = -t² + 5t + 1`. We need to find the velocity at time `t₀ = 5`.
The velocity `v(t)` is the derivative of position `x(t)` with respect to time `t`, so we need to differentiate the given position function to find velocity.
`x(t) = -t² + 5t + 1
`Differentiating `x(t)` with respect to `t` using the power rule of differentiation:
`v(t) = d(x(t))/dt = d(-t² + 5t + 1)/dt = -2t + 5`
We need to find the velocity at `t₀ = 5`.
Substituting `t = 5` into the velocity function `v(t) = -2t + 5`, we get:v(5) = -2(5) + 5= -10 + 5= -5
Therefore, the velocity of the object at time `t₀ = 5` is `-5` (option D).
Answer: option D) `-5`
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help me pls
a s a p!
Answer:
45:30:100
Step-by-step explanation:
the answer would be 9:6:20
The answer is D!
Explication:
Take G from triangle GHI and go to the right 4 times and go down 5!
Take H from triangle GHI and do the same thing you did to G
Do the same thing to I from GHI!
A car drives 60 miles per hour. Write and solve an equation to find the number of hours it takes the
car to travel 720 miles.
Answer:840 hours
Step-by-step explanation:You have to Add to get your answer.This is how I got 840:
60+60=120
120+720=840
Your answer is:840 hours
hope this was helpful :)
Please help?
I will give you brainliest
Answer: Cant help I'm in 7th grade
Step-by-step explanation:
Giving brainliest to the answer who gives step by step examples clearly!
Simplifying radicals
I am confused on how to get the answer, i believe it is the cubed that is throwing me off on both of these answers, please solve and use step by step? Thanks!
Hi there!
This should be easy,lol!
Answer:
[tex]\sqrt[3]{-128} = \boxed{-128 \sqrt{3} }[/tex] (Decimal: -221.702503)
[tex]\sqrt[3]{162} = \boxed{162 \sqrt{3} }[/tex] (Decimal: 280.592231)
[tex]\sqrt[3]{-1000x^4} = \boxed{-1732.050808x^4}[/tex]
Sorry bout the explanation thingy. Their really long -.-!
But the last one is short so i'll put it for you!
Step-by-step explanation:
∴!For the last one!∴
[tex]\sqrt[3]{-1000x^4}[/tex]
Simplifies to:
[tex]= - 1732.050808 * x^4[/tex]
[tex]= - 1732.050808 * ( x * x * x * x)[/tex]
[tex]= - 1732.050808x^4[/tex]
Have a great day/night!
Answer:
10)
[tex]=-4\sqrt[3]{2}[/tex]
12)
[tex]=3\sqrt[3]6[/tex]
14)
[tex]=-10x\sqrt[3]{x}[/tex]
Step-by-step explanation:
10)
We have:
[tex]\sqrt[3]{-128}[/tex]
We want to simplify the cube root. So, let's start picking at the factors.
Notice that -128 is divisible by 64. So:
[tex]=\sqrt[3]{-1\cdot64\cdot2}[/tex]
Now, notice that 64 is the same as 4³. (-1) is also the same as (-1)³. Therefore:
[tex]=\sqrt{(-1)^3\cdot(4)^3\cdot2[/tex]
We can now expand our root:
[tex]=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(4)^3}\cdot\sqrt[3]{2}[/tex]
The cubes and the cube roots cancel each other out. This leaves us with:
[tex]=(-1)\cdot(4)\cdot\sqrt[3]2[/tex]
Simplify:
[tex]=-4\sqrt[3]{2}[/tex]
12)
We have:
[tex]\sqrt[3]{162}[/tex]
Again, let's see what we can factor out.
If it's unclear what we can factor out, we can guess and check. Since 162 is even, let's divide it by 2. This yields:
[tex]=\sqrt[3]{2\cdot81}[/tex]
Notice here that 81 is the same as 3⁴. Therefore:
[tex]=\sqrt[3]{2\cdot3^4}[/tex]
We can separate the 3 from the exponent using the properties of exponents:
[tex]=\sqrt[3]{2\cdot3\cdot3^3}[/tex]
Expand:
[tex]=\sqrt[3]{3^3}\cdot\sqrt[3]{2\cdot3}[/tex]
The cube roots and cube will cancel. This leaves us with:
[tex]=3\cdot\sqrt{2\cdot3}[/tex]
Simplify:
[tex]=3\sqrt[3]6[/tex]
14)
We have:
[tex]\sqrt[3]{-1000x^4}[/tex]
Notice here that 1000 is the same as 10³. Also, we can separate an x from the x⁴. Therefore:
[tex]=\sqrt[3]{-1\cdot (10)^3\cdot x^3\cdot x}[/tex]
Also, (-1) is the same as (-1)³. Thus:
[tex]=\sqrt[3]{(-1)^3\cdot (10)^3\cdot x^3\cdot x}[/tex]
Expand:
[tex]=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(10)^3}\cdot\sqrt[3]{x^3}\cdot\sqrt[3]{x}[/tex]
The cube roots and the cube will cancel. This leaves us with:
[tex]=-1\cdot10\cdot x\cdot\sqrt[3]{x}[/tex]
Simplify:
[tex]=-10x\sqrt[3]{x}[/tex]
And we're done!
Can yall little kids help me with College ????
Answer:
Step-by-step explanation:
so pathetic, I don't even get you
what is the answer?
3⁰+3¹+3²+...+3⁴⁰=?
Answer:
= 1.21577e19
Step-by-step explanation:
I used a calculator that should tell you. :))
At a football stadium, 25% of the fans in attendance were teenagers. If there were 130 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
Total number of people in the stadium = 520
Step-by-step explanation:
Let the total number of people in the stadium = x
Since, 25% of the fans are teenagers, number of teenagers in the stadium
= 25% of x
= [tex]\frac{25}{100}\times x[/tex]
= 0,25x
If the number of teenagers in the stadium = 130
0.25x = 130
x = [tex]\frac{130}{0.25}[/tex]
x = 520
Therefore, total number of fans in the stadium = 520.
Mairé is thinking of two numbers. The first number is 14 less than the second number. When she adds them, she gets 40. Help her younger sister, Enya, figure out the numbers.
Answer:
34 and 6 =40
Step-by-step explanation:
40 divided by 2=20 20-14=6 14+20=34
Is this argument VALID or INVALID?
Consider this argument:
If you study then you will pass the test. You didn't study, therefore you will not pass.
Answer
Valid
Step-by-step explanation:
I had no idea what i was answering sorry
Answer:
yes
Step-by-step explanation:
its mostly common sense if you don't study for something you're 99% garrenteed to fail where as if you study you are more prepared and understand the material ahead of time so you have a greater chance of passing.
What’s the answer to this problem?
Answer: the answer is 0
Step-by-step explanation:
The same digits are used for the expressions 3 4and 4 3 . Explain how to compare the values of the expressions.
Who answers first get a whole lot of coins!?!?!
Answer: 3 by the power of 4
Step-by-step explanation:
3 by the power of 4 equals what?
81 and 4 by the power of 3 equals what?
64 so this shows us that 3 by the power has a greater value
ANSWER : 3 by the power of 4
25 points and brainiest
What is a fraction and how do you use it?
Answer:
Step-by-step explanation:
A fraction is literally a division question in one number. You can use it to determine parts of something (parts of a whole)
The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 inches, find its dimensions.
Answer:
length= 9
width= 3
Step-by-step explanation:
x= width
length = x+6
x+6+x+6+x+x=24
4x+12=24
take 12 from both sides
4x= 12
x=3
