The correct properties of equality used to solve the equation given x = 8 are Given, Substitution Property, Subtraction Property of Equality, Division Property of Equality, and Symmetric Property of Equality.
Explanation:The student has shared the steps of solving an equation and is asking for the correct sequence of properties used to solve it:
Given: 11x - 6y = -1; x = 8Substitute x: 88 - 6y = -1Subtract 88 from both sides: -6y = -89Divide by -6: y = 89/6State that 89/6 = yThe correct properties of equality should be applied as follows:
Given: Both the equation and x = 8 are provided information.Substitution Property: x = 8 is substituted into the equation for x.Subtraction Property of Equality: 88 is subtracted from both sides of the equation.Division Property of Equality: Both sides of the equation are divided by -6 to solve for y.Symmetric Property of Equality: Rearranges the equation to y = 89/6 for clarity.Figure ABCD is rotated 90°counterclockwise about the origin. Which of the following gives the correct measure of an image of one of its sides?
B'C' = √17
C'D' = √10
D'D' = 5
A'B' = √17
A quadrilateral has angle measures of 52°, 94°, and 97°.
What is the measure of the fourth angle?
Enter your answer in the box.
A quadrilateral has angle measures of 52°, 94°, and 97°.
What is the measure of the fourth angle?
Enter your answer in the box.
Answer: 117
Step-by-step explanation:
Please help if you know how to do this type of math! :)
Bill takes a loan of 9,000.00 at a 8% simple interrst rate for 6 years a.how much interest will he pay after 2 years? b. how much interest will he pay in total for the loan
help plz
Bill will pay an interest of $1440 after 2 years and a total interest of $4320 over 6 years.
Explanation:The subject of your question is related to simple interest calculation. The formula to calculate the simple interest is I = P * R * T, where I is the interest, P is the principal amount (initial loan), R is the annual interest rate in decimal form and T is time in years.
So when you ask 'how much interest will Bill pay after 2 years?', you plug in your values as follows: I = $9000 * 0.08 * 2 which calculates to $1440.
For the total interest Bill will pay over the 6 years, we substitute the values into the formula again but this time T = 6. So, I = $9000 * 0.08 * 6 which calculates to $4320.
Learn more about simple interest calculation here:https://brainly.com/question/19903178
#SPJ12
Bill will pay $1,440.00 in interest after 2 years and a total of $4,320.00 in interest for the entire loan period of 6 years.
Simple interest can be calculated using the formula Interest = Principal × Rate × Time (I = PRT).
Part A: Interest After 2 YearsThe principal amount is $9,000.00, the interest rate is 8%, and the time is 2 years.
Interest = 9,000 × 0.08 × 2 = 1,440Bill will pay interest of $1,440.00 after two years.
Part B: Total Interest for the LoanAgain, using the same formula but for 6 years:
Interest = 9,000 × 0.08 × 6 = 4,320Bill will pay a total of $4,320.00 in interest over the entire loan period.
Help plz!!
Graph of y equals negative 2 times x squared plus 40 x plus 600
Which of the following coordinates is not an intercept for the function?
A. (−10, 0)
B. (0, 600)
C. (0, 800)
D. (30, 0)
Answer:
0,800
Step-by-step, explanation: took test and got correct
Find the surface area of a sphere with a radius of 30 m. leave your answer in terms of pi @Directrix
In the decimal number 26.513, what number is in the tens place?
What would happen to the buying power of your investment after one year if your rate of return was 3% and the rate of inflation was 3%?
What is the exact value of sin 30° ?
Enter your answer, as a simplified fraction, in the box.
Will give BRAINLIEST!! I REALLY NEED HELP..What is -1/2(-3y+10) as a equivalent expression? pls help me
solve
USA Highschool Geometery
If 10*10 is 100 and 100*100 is 10000 what is 10000*10000???? ; )
10000 * 10000 is equivalent to 10,000,000
10² is 10 × 10, which equals 100.
10⁴ is 100 × 100, which equals 10,000.
Following this pattern,
we see that large numbers can be simplified using exponents:
The number 10,000 can be written as 10⁴ because:
10 × 10 × 10 × 10 = 10,000
Now, to calculate 10,000 × 10,000:
10,000 is 10⁴, so this is:
(10⁴) × (10⁴) = 10⁸.
So, 10000 * 10000 = 10⁸ = 100,000,000.
So, 10000*10000 is 100,000,000.
Ken is adding a ribbon border to the edge of his kite.Two aides of the kite measure 9.5 inches,while the other two sides measure 17.8.How much ribbon does Ken need?
There are 54.6 inches ribbon does Ken need.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Ken is adding a ribbon border to the edge of his kite.
Here, Two aides of the kite measure 9.5 inches, while the other two sides measure 17.8.
Hence, Total length of ribbon is,
⇒ 2 × 9.5 + 2 × 17.8
⇒ 19 + 35.6
⇒ 54.6 inches
Thus, There are 54.6 inches ribbon does Ken need.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ3
How do you write 230% as a fraction or mixed number in simplest form?
Can anyone please help
look at the picture below // PLEASE HELP // 30 points
The birdwatching club has 27 members, 18 girls and 9 boys. What is the ratio of the girls to boys in the birdwatching club?
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
[tex]\sqrt{a}=b\iff b^2=a\\\\a\geq0\ \wedge\ b\geq0\\\\\text{therefore your answer is}\\\\\text{(A) The equation has no solutions.}[/tex]
PLEASE ANY HELPFUL PERSON HELP!!!!!!
I have another Brainliest
What is 6 divided by 1/3
Perform the indicated operation. then estimate to see whether the proposed results is reasonable. 11.58 + 11.9 + 9.2
32.68
22.68
33.68
31.68 Preform the indicated operation. Then estimate to see whether the proposed result is reasonable.
93.8 - 6.48
87.32
97.44
87.42
94.34
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9 5.363
52.63
53.62
5.263 Choose the best estimate. 64.1 ÷ 97
641
6.41
0.641
6410 Use estimation to determine whether the result is reasonable or not. 108.93 x 32.6 Result: 355.112 Is it reasonable or not?
Someone please explain how the GCF of x^4 and x^3 equals x^3. This has me stumped.
Math help.... Please....
This doesn't make any sense to me. Pls help me. I'm not begging, but this problem has been stumping me and I don't understand how to do it.... I'm using 99 points to give to a person who maybe can help me. I will give Brainliest if you are correct.
Thank you so very kindly.
When Julia dumped out the big jar of dimes and nickles she found 287 coins. If there was $20.50 in the jar, how many of each kind of coin was there??
Don't answer this unless you actually are answering the question!!! If you have any questions, or it doesn't make sense, please say something in the "Ask for Details" section.
Thanxs again!!!
Answer:First, you want to solve for the equation for this problem, would be:
0.05N + 0.10D = 20.50
While N = The amount of nickels, and D = The amount of dimes.
Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287.
Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.
0.05N + 0.10D = 20.50
0.05(164) + 0.10(123) = 20.50
8.2 + 12.3 = 20.50
20.50 = 20.50
So, there is 164 nickels, and 123 dimes for your answer.
I hope this helps you
The area of a rectangular swimming pool is
10x2 – 19x – 15. The length of the pool is 5x + 3.
What is the width of the pool?
Norma has an A-frame cabin.The back is shown below. How many square feet of paint will she need to cover the back of the cabin?
Just a short answer please help :( the top
32 deanna bought a shirt that was on sale for 40% off the original price. she also used a coupon that gave her an additional 20% off the sale price of the shirt. the original price of the shirt was $54. what is the new price of the shirt before tax?
The center of a circle is at (−2, −7) and its radius is 6.
What is the equation of the circle?
(x−2)2+(y−7)2=36
(x−2)2+(y−7)2=3
(x+2)2+(y+7)2=3
(x+2)2+(y+7)2=36
The equation of a circle is (x+4)2+(y−5)2=121.
What is the center and radius of the circle?
center: (4, −5); radius: 11
center: (−4, 5); radius: 121
center: (−4, 5); radius: 11
center: (−4, −5); radius: 121
Answer:
1. option D is correct; [tex](x+2)^2+(y+7)^2=36[/tex]
2. option C is correct; center: (-4, 5) and radius = 11 unit
Step-by-step explanation:
The general equation of the circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex] .....[1]
where,
(h, k) is the center of the circle and r is the radius of the circle.
1.
As per the statement:
The center of a circle is at (−2, −7) and its radius is 6.
⇒(h, k) = (-2, -7) and r = 6 units
Substitute these in [1] we have;
[tex](x-(-2))^2+(y-(-7))^2=6^2[/tex]
⇒[tex](x+2)^2+(y+7)^2=36[/tex]
Therefore, the equation of circle is, [tex](x+2)^2+(y+7)^2=36[/tex]
2.
As per the statement:
The equation of a circle is:
[tex](x+4)^2+(y-5)^2 = 121[/tex]
We can write this as:
[tex](x-(-4))^2+(y-5)^2 = 11^2[/tex]
On comparing with equation [1] we have;
(h, k) = (-4, 5) and r = 11 units
Therefore, the center and radius of the circle is,
center: (-4, 5) and radius = 11 unit
What is the coefficient of the term of degree 2 in the polynomial below? x^6+3-2x^2+4x^7-4x a. -2 b. 3 c. -4 d. 4
Answer:
a. [tex]-2[/tex]
Step-by-step explanation:
The given polynomial is
[tex]x^6+3-2x^2+4x^7-4x[/tex]
We rewrite the polynomial in standard form to obtain;
[tex]4x^7+x^6-2x^2-4x+3[/tex]
The term of degree 2 in the polynomial is [tex]-2x^2[/tex].
The coefficient of this term is the constant that is multiplying [tex]x^2[/tex] which is [tex]-2[/tex]