joe bought a condo for $200,000. he put down 20%, which was $40,000. how much does he owe on the condo?
By taking the difference between the total cost of the condo and the amount that he already paid, we conclude that Joe owes a total of $160,000 for the condo.
How much does he owe on the condo?To find how much he owes on the condo, we need to find the difference between the total cost of the condo, which is $200,000, and the amount that he already paid, which is $40,000.
(Remember that difference means a subtraction)
It gives.
$200,000 - $40,000 = $160,000
In this way, we conclude that Joe owes a total of $160,000 for the condo.
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b Use your answer to write 48 cubed as a product of its prime factors in index form.
Edexcel GCSE Mathematics
Answer:
110592
Step-by-step explanation:
48x48x48
Answer:
\(\Large \bold{48^3 = 2^{12} \times 3^3}\)
Step-by-step explanation:
48 = 2 x 2 x 2 x 2 x 3
48³ = (2 x 2 x 2 x 2 x 3)³
Expand brackets and simplify
48³ = 2³ x 2³ x 2³ x 2³ x 3³
Use law of indices
48³ = \(2^{3+3+3+3} \times 3^3\)
Any argument whose premises are p ---> q and q ---> r is valid regardless of the conclusion. true or false
False.
An argument with premises "p ---> q" and "q ---> r" is valid only if its conclusion follows logically from the premises.
An argument with premises "p ---> q" and "q ---> r" is valid only if its conclusion follows logically from the premises.
For example, if the conclusion is "p ---> r," then the argument is valid because:
- If p ---> q and q ---> r, then by transitivity of implication, p ---> r.
However, if the conclusion is "r ---> p," then the argument is not valid because:
- If p ---> q and q ---> r, we cannot infer that r ---> p.
Therefore, the validity of an argument with premises "p ---> q" and "q ---> r" depends on the specific conclusion being drawn, and not all conclusions are valid.
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A hiker walks 5 km/hr, how long does it take him to walk 48 km?
Answer:
\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)
Explanation:
\(\sf Time \ taken : \dfrac{Distance}{Speed}\)
Here given:
distance: 48 kmspeed: 5 km/hourApplying formula,
\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)
In ΔTUV, u = 380 inches, � m∠V=151° and � m∠T=25°. Find the length of t, to the nearest 10th of an inch
The length of t, to the nearest tenth of an inch, is approximately 85.6 inches.
To determine the length of t in triangle TUV, we can use the law of sines.
The law of sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.
In this case, we have:
- u = 380 inches (the length of side u)
- m∠V = 151° (the measure of angle V)
- m∠T = 25° (the measure of angle T)
We need to find the length of side t.
Using the law of sines, we can set up the equation;
sin(25°) / t = sin(151°) / 380
To solve for t, we can cross multiply and then divide by sin(25°):
t = (380 x sin(25°)) / sin(151°)
t ≈ 85.6 inches
Therefore, the length of t, to the nearest tenth of an inch, is approximately 85.6 inches.
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i beg please help worth 40 points and ill give brainliest if answered right with shown work please help
1:
y = 2x
x + y = 6
3x = 6
x= 2
y = 4
2:
y = 2x - 5
x + y = 4
x + 2x - 5 = 4
x + 2x = 9
3x = 9
x = 3
y = 1
3:
x + y = 7
2x - y = 5
x = 7 - y
2x = 14 - 2y
14 - 2y - y = 5
- 9 = - 3y
3y = 9
y = 3
x = 4
4:
x + 9y = - 6
2x - 9y = 15
9y = 2x - 15
x + 2x - 15 = - 6
3x = 9
x = 3
y = - 1
5:
x + 2y = 4
y = 2x + 7
2y = 4x + 14
x + 4x + 14 = 4
5x = - 10
x = - 2
y = 3
6:
x - 4y = 16
y = 1 - x
4y = 4 - 4x
x - 4 + 4x = 16
5x = 20
x = 4
y = -3
7:
4x - y = 10
x + y = 5
y = 4x - 10
x + 4x - 10 = 5
5x = 15
x=3
y = 2
8:
2x + y = 10
3x = y
y = 10 - 2x
10 - 2x = 3x
10 = 5x
x = 2
y = 6
9:
-5x - y = 20
y = 3x
y = - 5x - 20
-5x - 20 = 3x
8x = - 20
2x = - 5
x = - 2.5
y = - 7.5
10:
2x - y = -1
x = 17 - 3y
y = 2x + 1
3y = 6x + 3
17 - 6x - 3 = x
14 = 7x
x = 2
y = 3
11:
3x + y = 3
y = 2x - 7
y = 3 - 3x
3 - 3x = 2x - 7
10 = 5x
x = 2
y = - 3
12:
2x + 3y = 17
3x - 2y = - 0.5
2y = 3x + .5
y = 1.5x + .25
3y = 4.5x + .75
2x + 4.5x + .75 = 17
16.25 = 6.5x
16.25 / 6.5 = x
x = 2.5
y = 4
13:
x - 2y = 5
3x + 2y = 23
3x = 15 + 6y
15 + 6y + 2y = 23
8 = 8y
x = 7
y = 1
14:
2x = 5y + 8
3x + 2y = 31
x = 2.5y + 4
3x = 7.5y + 12
7.5y + 12 + 2y = 31
9.5y = 19
y = 19 / 9.5
x = 9
y = 2
took a lot of time so please give brainliest
can someone give me the answer
Help! I’ll give brainliest
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2. Select all the systems of equations that have exactly one solution.
(Select 2) *
8 points
A.
S y = 3x + 1
y=-3x +7
B. S y = 3x+1
y=x+1
A
B
C.
S y = 3x + 1
D.
y = 3x +7
y=-x+ 10
y = 1x + 10
С
D
Answer:
write question properly
Simplify this equation (3√2)²
Answer:
18
Step-by-step explanation:
Use the drawing tools to form the correct answer on the graph.
Graph this system of equations on the coordinate plane:
y = -3x + 3
y = 1/2x - 4
Answer:
The answer would be (2,3) or you can find the answer in desmos
Step-by-step explanation:
You can input the coordinates in Desmos graphing calculator for the graph
Identify the terms, coefficients, and constants in the expression.
6+n2+1/2d
Answer:
terms- 6 2n 1/2d
coefficients- 2 & 1/2
constants- 6
Step-by-step explanation:
terms = 6, n₂ and (1/2)d
coefficient of d = 1/2
constant = 6
What are term, coefficient and constant?A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
A coefficient is the numerical factor of a term containing constant and variables.
A constant is a number that is assumed not to change value in a given mathematical discussion.
Given, expression is
6+n₂+(1/2)d
In the above expression,
there are three terms:
6, n₂ and (1/2)d
there is one coefficient with variable d:
1/2
there is one constant:
6
Hence the given expression has three terms 6, n₂ and (1/2)d in which 6 is constant and 1/2 is coefficient of d.
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There are a total of 463,100 books in a library. What is the value of the exponet when this number is written in scientific notation?
Answer: 4.631*10^5
Step-by-step explanation:
463,100=
400,000+63,100=
4*100,000+(63,100/100,000)*100,000=
4*10^5+(631/1000)*10^5=
4*10^5+0.631*10^5=
(4+0.631)*10^5=4.631*10^5
PLEASE HELP !!
Quadrilateral ABCD has vertices at A (0, 0), B (0, 3), C (5, 3), and D (5, 0). Find the vertices of the
quadrilateral after a dilation with scale factor 2.5.
According to the dilation formula, the location of the four vertices of the quadrilateral A'B'C'D' are A'(x, y) = (0, 0), B'(x, y) = (0, 7.5), C'(x, y) = (12.5, 7.5) and D'(x, y) = (12.5, 0).
How to determine the coordinates of the vertices of the dilated rectangle
Dilation are a kind of rigid transformations defined by the following formula:
P'(x, y) = O(x, y) + r · [P(x, y) - O(x, y)] (1)
Where:
O(x, y) - Center of dilationr - Dilation factorP(x, y) - Original pointP'(x, y) - Resulting pointIf we know that r = 2.5, O(x, y) = (0, 0), A(x, y) = (0, 0), B(x, y) = (0, 3), C(x, y) = (5, 3) and D(x, y) = (5, 0), then the resulting points are obtained:
A'(x, y) = (0, 0) + 2.5 · [(0, 0) - (0, 0)]
A'(x, y) = (0, 0)
B'(x, y) = (0, 0) + 2.5 · [(0, 3) - (0, 0)]
B'(x, y) = (0, 7.5)
C'(x, y) = (0, 0) + 2.5 · [(5, 3) - (0, 0)]
C'(x, y) = (12.5, 7.5)
D'(x, y) = (0, 0) + 2.5 · [(5, 0) - (0, 0)]
D'(x, y) = (12.5, 0)
Lastly, we proceed to graph the two figures.
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HELP PLEASE I WILL MARK YOU BRAINIEST
Ms.Harper has 12 1/2 cups of soup. One serving of soup is 3 3/8 cups. How many servings of soup does Ms.Harper have.
Step-by-step explanation:
In total there is 6 cups of soup.
So lets put that in /8 form
48/8 and do the same to the other 27/8
So when you see it takes 27/8 for one you know she can only do one full serving.
21/8 is what's left
So 2 5/8 is left
She is 6/8 off of one more serving
I'm sorry this is all I can do. I hope you can use this info to answer
Step-by-step explanation:
may nag answer na paano na yan
help pleaseee, i really need this
Answer: B
Step-by-step explanation:
Answer: the answer is D. x/2 <1
If c is zero, how many solutions are there in the quadratic equation x^(2)=c^(2) A. 0 C. 2 B. 1 D. imaginary
If c is zero, the quadratic equation x^2 = c^2 becomes x^2 = 0^2 = 0.
In this case, the equation simplifies to x^2 = 0. The only solution to this equation is x = 0.
To understand why there is only one solution, we can look at the graph of the equation. The equation x^2 = 0 represents a parabola that opens upwards and intersects the x-axis at the point (0, 0). This means that the only value of x that satisfies the equation is x = 0, where the parabola intersects the x-axis.
Alternatively, we can also see that x^2 = 0 can be factored as (x - 0)(x + 0) = 0. This equation indicates that there are two factors, (x - 0) and (x + 0), which multiply to give zero. However, since both factors are the same, we can simplify it as x(x) = 0, which still gives us the single solution x = 0.
In summary, when c is zero, the quadratic equation x^2 = c^2 has one solution, which is x = 0.
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what is the maximum electric field strength (in kv/m) in an electromagnetic wave that has a maximum magnetic field strength of 4.80 ✕ 10−4 t (about 10 times the earth's)?
The maximum electric field strength in the electromagnetic wave is found as 144 kV/m.
To determine the maximum electric field strength (in kV/m) of an electromagnetic wave, you can use the following relation between electric field strength (E) and magnetic field strength (B):
E = c * B
where E is the electric field strength, B is the magnetic field strength, and c is the speed of light in a vacuum, which is approximately 3.00 x 10^8 m/s.
Given a maximum magnetic field strength of 4.80 x 10^-4 T, you can find the maximum electric field strength by plugging in the values:
E = (3.00 x 10^8 m/s) * (4.80 x 10^-4 T)
E ≈ 1.44 x 10^5 V/m
To convert this value to kV/m, divide by 1000:
E ≈ 144 kV/m
So, the maximum electric field strength in the electromagnetic wave is approximately 144 kV/m.
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Complete The Table
Original Price ( )
Percent Of Discount 25%
Sale Price $40
What is the original price?
Answer:
$ 53.33
Step-by-step explanation:
x = original price
.75 * x = 40
x = 40 / .75 = 53.33
Let original price be x
Discount=25%Hence
x-0.25x=40(1-0.25)x=400.75x=40x=40/0.75x=40/(3/4)x=53.34$for the linear equation y = 2x 4, if x increases by 1 point, how much will y increase? (hint: think about the definition of the slope) group of answer choices 2 points 3 points 1 points 4 points
For the linear equation y = 2x 4, if x increases by 1 pointThe value of y will increase by 2 points(A).
The equation y = 2x + 4 represents a linear relationship, where the coefficient of x, which is 2, represents the slope of the line. The slope indicates how much y changes when x increases by 1. In this case, the slope is 2, meaning that for every increase of 1 in x, y will increase by 2.
Therefore, For the linear equation y = 2x 4, if x increases by 1 point,the value of y will increase by 2 points(A). This means that correct option is A.
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Regenerate response
Write an expression equivalent to the expressions 12x+16y using the gcf
pls help
Answer:4(3x+4y)
Step-by-step explanation: the gcf of 12x+16y is 4. we factor out 4 by dividing both terms by 4.
Answer:
\(4(3x+4y)\)
Step-by-step explanation:
Hey there!
This would be the correct answer because the GCF of 12 and 16 is 4.
Now that we know that it is 4 we can divide the eqiasion by 4 and then you get
\(4(3x+4y)\)
If you need to ckeck if this answer is corret then you will need to use the distributive property to distribute 4 to 3y and 4y.
The equasion would then look like this
\((4(3x)) (4(4y))\)
Next you would need to solve the equasion to get the origional equasion
\(12x+16y\)
Ezekiel wants to purchase a new iPad for $450. He has $500
saved from his last year's allowance. The sales tax for the iPad is 7.5%. How much does the iPad cost after taxes? Make sure to use the dollar sign $.
Answer: $483.75
Step-by-step explanation:
The ultimate cost of the iPad is the price + sales tax.
This means that the cost equals $450+7.5% sales tax which means that
7.5% of $450 + $450 is the total.
Total cost: $33.75+$450 =
$483.75
Answer: he will pay $483.75
Step-by-step explanation:
there are 208 students going on the school field trip each bus can carry 32 students how many buses will be needed
Answer:
7 busses
Step-by-step explanation:
208students divided by the number of students per bus 32The answer is 6.5 you can't split a kid in half so you will need to take 7 busseswhat is the slope of 9x -5y = 4
the general equation of a graph is given by
y = mx + c
where m= slope
c=intercept
the equation given is
9x-5y=4
make y subject of formula
9x-4=5y
5y=9x-4
divide through by 5
y=9/5x-4/5
comparing with the general equation
mx=9/5x
m=slope=9/5
e is 5 more than d f is 7 less than d write an expression for f in the terms of d
Answer:
Step-by-step explanation:
d-7
Simplify the expression. Write your answer using single variables raised to exponents. d×b×c×a×a×a
There are three a's, we can write a³ instead of a×a×a. This gives us d×b×c×a³
To simplify the expression d×b×c×a×a×a, we can rewrite it using exponents. Since there are three a's, we can write a³ instead of a×a×a. This gives us:
d×b×c×a³
This is the simplified expression using single variables raised to exponents. We can read this as "d times b times c times a to the power of 3".
It's important to note that when we have multiple variables multiplied together, we can simplify the expression by combining them using exponents. This makes it easier to work with and to manipulate algebraic equations.
In this case, we were able to simplify the expression by replacing three instances of a with a³. We could continue to simplify further if we had additional like terms, but in this case, this is the simplest form of the expression.
Overall, simplifying expressions using exponents is a common technique in algebra and can help make solving equations more manageable.
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Admission to an amusement park costs $5.00 and each ride ticket costs $1.50. The equation c = 1.5 + 5 represents the total cost, c, for admission with a certain numbers of ride tickets, t. Which statement about the equation is true? Select all that apply.
A The variable t is the dependent variable
B The total cost for admission with 5 tickets is $7.50
C The total cost for admission with 6 rides tickets is $14.00
D The total cost, c, depends on the number of ride tickets, t.
Answer: D
Step-by-step explanation:
c = 1.5 x 6 +5 = 14 USD
Please help me with this
Answer:
O = 29
P = 61
Step-by-step explanation:
90 = (x+3) + (2x+9)
90 = 3x + 12
90 - 12 = 3x
78 = 3x
x = 26
26 + 3 = O = 29
(26 * 2) + 9 = P = 61
61 + 29 = 90 = Complementary Angles
For 0 <3 days. the number of weeds in large garden is given by the function W that satisfies tbe differential equation dW/dt = 1/12(-318+ 24W). At time t = 2 days, there are 20 weeds in the garden Find d^2W/dt^2 when W = 14.
\(3\) days \(0\) hours. The answer is three because the function \(W\) that solves the differential equation gives the number of weeds in a large garden.
How to explain number?A number is calculated and represented using a decimal, which is an algebra quantity. In handwriting, numerical symbols like "3" are used to represent numbers. A counting system is a logical way of expressing numbers that uses digits or symbols to represent them.
Is the number 111111 lucky?Vets Day and Memorial Day are commonly celebrated on November 11 in the United States and overseas, respectively. The history, mythology, and mathematical importance of this particular time and date are all explained here.
\(\frac{dw}{dt}=\frac{1}{12}(-318+24W)\)
\(\frac{d^{2}W }{dt^{2} }=\frac{d}{dt}[\frac{1}{12} (-318+24W)]\)
When \(W=14, \frac{dW}{dt}\)
\(=\frac{1}{12}(-318+24*14)\)
\(=\frac{18}{12}=1.5\)
\(=2\frac{dW}{dt}=2*1.5\)
\(=3\)
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Given the definitions of f(x) and g(x) below, find the value of (fog)(-8).
f(x) = x2 – 3x – 12
g(x) = -x - 12
Answer:
\((f \circ g)(-8) = 16\)
Step-by-step explanation:
The given function are;
f(x) = x² - 3·x - 12, and g(x) = -x - 12
\((f \circ g)(x) = f(g(x))\)
Therefore;
\((f \circ g)(-8) = f(g(-8))\)
g(-8) = -(-8) - 12 = 8 - 12 = -4
∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16
Therefore;
\((f \circ g)(-8) = f(g(-8)) = 16\)