If x=2, what is the value of x (14-x)
Answer:
24
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
In which of the expressions below will x = 25? Select all that apply.
Answer:
Option C
Option D
Step-by-step explanation:
We have to calculate each expression to find for which one is the solution is x=25.
A)
[tex] \frac{x + 6}{3} = 10 \\ x + 6 = 10 \: . \: 3 \\ x + 6 = 30 \\ x = 30 - 6 \\ x = 24[/tex]
B)
[tex]x - 8 = 32 \\ x = 32 + 8 \\ x= 40[/tex]
C)
[tex]6x - (15 + 4x) = 35 \\ 6x - 15 - 4x = 35 \\ 2x = 35 + 15 \\ 2x = 50 \\ x = \frac{50}{2} \\ x = 25[/tex]
D)
[tex] \frac{3x}{5} = 15 \\ 3x = 15 \: . \: 5 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]
E)
[tex]4(x - 18) = 12 \\ x - 18 = \frac{12}{4} \\ x - 18 = 3 \\ x = 3 + 18 \\ x = 21[/tex]
Solve the equation above for X.
Answer:
[tex]\large\boxed{\tt x = 444.}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]
[tex]\textsf{Note that our goal is to leave x alone on the left side of the equation. In order}[/tex]
[tex]\textsf{to do so we will need to use the \underline{Properties of Equality}.}[/tex]
[tex]\large\underline{\textsf{What are the Properties of Equality?}}[/tex]
[tex]\textsf{Properties of Equality are 9 Properties that allows us to manipulate equations}[/tex]
[tex]\textsf{to, commonly find unknown variables or to determine if equations are true.}[/tex]
[tex]\textsf{For our problem, we will be using 2 out of 9 of these properties as we need to}[/tex]
[tex]\textsf{isolate x, and make sure x is 1x.}[/tex]
[tex]\large\underline{\textsf{Solving for x;}}[/tex]
[tex]\tt \frac{1}{2} x-41=181[/tex]
[tex]\textsf{Let's first use the Addition Property of Equality where the equation will be equal}[/tex]
[tex]\textsf{if we add the same number to both sides of the equation. Let's start by adding}[/tex]
[tex]\textsf{41 to both sides of the equation.}[/tex]
[tex]\tt \frac{1}{2} x-41+41=181+41[/tex]
[tex]\tt \frac{1}{2} x = 222[/tex]
[tex]\textsf{Next, let's use the Multiplication Property of Equality where the equation is}[/tex]
[tex]\textsf{equal if we multiply the same number to both sides of the equation. Let's}[/tex]
[tex]\textsf{multiply 2 to both sides of the equation to cancel out} \ \tt \frac{1}{2} .[/tex]
[tex]\tt 2 \times \frac{1}{2} x = 222 \times 2[/tex]
[tex]\large\boxed{\tt x = 444.}[/tex]
What is the distance from point A to point B? What is the perimeter of the shape?
Answer:
first one is 8 second one is 28
Step-by-step explanation:
correct on edge
Imagine that you would like to purchase a $275,000 home. Using 20% as
a down payment (or $55,000), determine the monthly mortgage payment
for your dream home using the loan terms below. Hint: Read the Loan
Calculator tip at right for a tool that will help you make the calculations.
A. 15-year mortgage term with a 3% interest rate
Total Amount Paid Over Loan Term
Minimum Monthly Payment:
B. 20-year mortgage term with a 6% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
C. 30-year mortgage term with a 5% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
Which mortgage would you choose and why?
Answer:
The mortgage chosen is option A;
15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470
Step-by-step explanation:
The details of the home purchase are;
The price of the home = $275,000
The mode of purchase of the home = Mortgage
The percentage of the loan amount payed as down payment = 20%
The amount used as down payment for the loan = $55,000
The principal of the mortgage borrowed, P = The price of the house - The down payment
∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000
The principal of the mortgage, P = $220,000
The formula for the total amount paid which is the cost of the loan is given as follows;
[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]
The formula for monthly payment on a mortgage, 'M', is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
A. When the mortgage term, t = 15-years,
The interest rate, r = 3%
The number of months over which the loan is payed, n = 12·t
∴ n = 12 months/year × 15 years = 180 months
n = 180 months
The monthly payment, 'M', is given as follows;
M =
The total amount paid over the loan term = Cost of the mortgage
Therefore, we have;
220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)
[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]
The minimum monthly payment for the loan, M ≈ $1,519.28
The total amount paid over loan term, A = n × M
∴ A ≈ 180 × $1,519.28 = $273,470
The total amount paid over loan term, A ≈ $270,470
B. When t = 20 year and r = 6%, we have;
n = 12 × 20 = 240
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]
The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276
The monthly payment, M = $1,576.15
C. When t = 30 year and r = 5%, we have;
n = 12 × 30 = 360
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]
The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163
The monthly payment, M ≈ $1,181.01
The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability
Therefore;
The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;
The total amount paid over the loan term = $270,470
Help me please I don’t know the answer
Convert 5 1/6 to a decimal through long division.
Answer:5.83
Step-by-step explanation:
A frog can hop at a maximum speed of about 60 feet every 4 seconds. How far can the frog go in 30 seconds?
Answer:
450 feet
Step-by-step explanation:
60ft = 4 seconds
x ft = 30 seconds
(cross multiply)
60 * 30 = 4x
1800= 4x
(divide both sides by 4)
x= 1800/4= 450
Answer:
ur answer would be 450 feet
Step-by-step explanation:
srry if wrong hope this helps<3
If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 2z - 3x =
Answer:
the answer is 2
Step-by-step explanation:
2(4)-3(2)=
8-6=2
HELP ASAP
High-quality goods and services are made available to consumers because of producers __________.
A.hold self-interests
B.would like to compete
C.look for subsidies
D.specialize in production
Please select the best answer from the choices provided
A
B
C
D
Answer:
I think it’s D.
Step-by-step explanation:
What is the perimeter of this parallelogram?
Answer:
24 mm
10 + 10 + 2 + 2
Please someone help me
2x^2 + 14x + 12 = 0
x^2 + 7x + 6 = 0
( x + 1 )( x + 6 ) = 0 ==》 x = - 1 Or x = - 6
help please and ty have a good day ! <3
Answer:
Total square inches glass need = 432 inch square
Meter square paint need = 36.5 meter square
Step-by-step explanation:
Given:
Length of rectangular window = 24 inch
Width of rectangular window = 18 inch
Length of parallelogram = 7.3 meter
Height of parallelogram = 5 meter
Find:
1. Total square inches glass need
2. Meter square paint need
Computation:
Total square inches glass need = Area of rectangle window
Area of rectangle window = l x b
Area of rectangle window = 24 x 18
Area of rectangle window = 432 inch square
Total square inches glass need = 432 inch square
Meter square paint need = Area of parallelogram
Area of parallelogram = Base x Height
Area of parallelogram = 7.3 x 5
Area of parallelogram = 36.5 meter square
Meter square paint need = 36.5 meter square
Please help will give brainliest
Answer:
A) it wouldn't fit
Step-by-step explanation:
Answer:
its b i did that befroe and it was b
Step-by-step explanation:
What is the area of the triangle pictured below?
3
13
5
11
PLEASE HELP
Answer:
Step-by-step explanation:
2145
I need help on this
HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!
Write the decimal as a fraction or mixed number in lowest terms.
1.01 plz no links
Answer:
1/100
Step-by-step explanation:
Hope it helps
Please brainliest
PLSSS HELLLLPPPP. MEEee
Answer:
B
Step-by-step explanation:
Since here, 100x = 1, and since we already have one, we can leave that aside. It would never be d because that is way larger. The second square is 6/100 and since earlier we said 100x = 1, we would have to make an equation. Your answer is B
The question is in the screenshot.
Vertex:
Axis of Symmetry:
Y-Intercept:
Domain:
Range:
Does it open up or down?
Does it have a max or min?
Roots: ( ) and ( )?
Solve the equation above for X
Answer:
x=4
Step-by-step explanation:
Because 1/8 is a fraction to cancel it out on the x side you have to multiply by 8
8*1/8x=1/2*8
giving you 1x=4
can someone please help me
Which of these might describe expenses for a student? Select all that apply.
donations
food
shoes
allowance
savings
gift received
Answer:
Foods and shoes thats it
Step-by-step explanation:
Given the two dilated figures, what is the length of AB
I think the answer is B
sorry if I am wrong
4(8x+6)-2=22
Please help
Answer:
x=0
Step-by-step explanation:
Answer:
0/32
Step-by-step explanation:
4(8x+6)-2=22
32x+24-2=22
32x+22=22
32x=22-22
32x=0
x= 0/32
Use the distributive property to simplify this expression
-9(n-4)
Answer:
-9n + 36
Step-by-step explanation:
1. -9(n - 4) -Distribute
2. -9n + 36 -Answer
[tex]\huge\fbox{\sf{Answer:~~{\boxed{-9n+36}}}}[/tex]
Step-by-step explanation:
Hi there!
Let's simplify this expression. It's easy, because all we have to do is "distribute" -9:
[tex]\bold{-9(n-4)}[/tex]
[tex]\bold{-9n+36}[/tex]
Hope it helps!
#[tex]\rm{HaveAnAmazingDay:)[/tex]
~ [tex]\sf{Just~a~teenage~girl~willing~to~help[/tex]
[tex]\bold{Besties4Ever:-):-):-)}[/tex]
Help me please this is hard and I don’t understand
Answer:
360
Step-by-step explanation:
Area=QR*18
=360
please help with this one. I will give brainliest!!
Answer: 78.54
Step-by-step explanation:
Answer:
31.4 cm²
Step-by-step explanation:
10*3.14=31.4²
Can someone please help me
Answer:
n/3+4=9
-4 -4
3x n/3=5x3
n=15
Step-by-step explanation:
i hope this helps :)
Written Response: Sally believes that 1/2% is equivalent to 50%. Is she correct? Why or why not?
Answer:
She is correct.
Step-by-step explanation:
1/2 and 50% is the same thing
50% is 1/2 of 100