MATHEMATICS HIGH SCHOOL

Please solve!! 4 (x-6) + 10 = 6

Answers

Answer 1

Answer:

$\huge\text{Hey there!}$

$\textsf{4(x - 6) + 10 = 6}$

$\textsf{Distribute}$

$\textsf{4(x) + 4(-6) + 10 = 6}$

$\textsf{4x - 24 + 10 = 6}$

$\textsf{COMBINE the LIKE TERMS}$

$\textsf{(4x) + (-24 + 10) = 6}$

$\textsf{-24 + 10 = -14}$

$\textsf{4x - 14 = 6}$

$\textsf{ADD 14 from BOTH SIDES}$

$\textsf{4x - 14 + 14 = 6 + 14}$

$\textsf{CANCEL out: -14 + 14 because that gives you 0}$

$\textsf{KEEP: 6 + 14 because that helps us solve for x}$

$\underline{\textsf{6 + 14 = 20}}$

$\textsf{New equation: 4x = 20}$

$\textsf{DIVIDE 4 from BOTH SIDES}$

$\mathsf{(4x)/(4)=(20)/(4)}$

$\textsf{CANCEL out}$ : $\mathsf{(4)/(4)}$ $\textsf{because that gives you 1}$

$\textsf{KEEP}$ : $\mathsf{(20)/(4)}$ $\textsf{because that solves and gives you x}$

$\mathsf{TEMPORARY\ EQUATION: x = (20)/(4)}$

$\mathsf{(20)/(5)=5}\n\n\n\mathsf{20/4 = 5}\n\n\n\textsf{\bf x = 5}\large\checkmark$

$\boxed{\boxed{\large\textsf{Answer: \underline{\bf x = 5}}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

Answer 2

Answer: 4(x-6)+10=6. 4(x-6)=-4. x-6=-1. x=5

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To borrow money, you pawn your guitar. based on the value of the guitar, the pawnbroker loans you $840. one month later, you get the guitar back by paying the pawnbroker $1,472. what annual interest rate did you pay? round to the nearest tenth of a percent.

Answers

It would be: 1472/840 * 100 = 147200/840 = 175.02

So, it is 75.02%

For nearest 10th percent it will be 75%

SO 75% IS YOUR ANSWER

Final answer:

The student paid a 900.0% annual interest rate on the loan provided by the pawnbroker.

Explanation:

To calculate the annual interest rate you paid, you need to note that the difference between the amount you paid back and the amount you borrowed is the interest. That's $1,472 - $840 = $632. The way interest works is that you pay a certain percentage of the original amount you borrowed (the principal). So, if we express the interest as a percentage of the principal, we get $632 / $840 = 0.75, or 75%. However, this is the interest rate for one month, as you only held the loan for one month. The annual rate would be this monthly rate multiplied by the number of months in the year, which gives 75% * 12 = 900%. So, the annual interest rate you paid, to the nearest tenth of a percent, is 900.0%.

Learn more about Calculating Interest Rate here:

brainly.com/question/32997798

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N ∈ lNWe set A= n(n²+11)
Show that A is divisible by 3
( n is natural number )
please try to help me in this i need it tomorrow plz...

Answers

@Konrad509's answer was fantastic.

What you first need to know is this. 3 consecutive natural numbers multiplied by each other, for instance: (1*2*3) or (2*3*4) or (3*4*5) or (4*5*(2*3)) can be described using the abstract expression:

(n-1)n(n+1)

-------------

Now:

A=n(n²+11),

and:

n(n²+11)

=n(n²-1+12)

=n³-n+12n

=n(n²-1)+12n

=n(n+1)(n-1)+12n

=(n-1)n(n+1)+(4*3)n

-------------------------

So:

A=(n-1)n(n+1)+(4*3)n

Therefore, A is divisible by 3.

$n(n^2+11)=\nn(n^2-1+12)=\nn(n^2-1)+12n=\n(n-1)n(n+1)+12n$

$(n-1)n(n+1)$ is the product of 3 consecutive natural numbers, so it has be to divisible by 3.

$12n$ is also divisible by 3 because 12 is divisible by 3.

If both elements of the sum are divisible by 3 so the sum itself is divisible by 3 as well.

Solve the given problem. Zara is six years older than half Gary’s age. If Gary is four years old, how old is Zara?

14

10

8

6

Answers

this is a word problem so translate to math so this is asking 6+(4/2) which is 8

Gary is 4 and Zare is 6 years older then half of Gary's age in which would be 2 so then 6+2=8 so its 8

2. Which of the following is the equation of a circle with the radius of 1.5 and its center at (-3,2)?A. (x+3)^2+(y-2)^2=1.5
B. (x-3)^2+(y+2)^2=1.5
C. (x+3)^2+(y-2)^2=2.25
D. (x-3)^2+(y+2)^2=2.25

Answers

Hello,

(x+3)²+(y-2)²=2.25

Answer C

The vertices of a quadrilateral ABCD are A(1,1), B(1,5), C(5,5), and D(7,1).Part a) A trapezoid is a four-sided figure with exactly one pair of parallel sides. Is ABCD a trapezoid? Explain your answer.

Part b) You want to transform ABCD into a parallelogram by only moving point B. A parallelogram is a four-sided figure with both pairs of opposite sides parallel. What should be the new coordinates of point B? Explain your answer.

Answers

A. Yes ABCD is a trapezoid ONE way i remember this is trapezoids aerialist always the shape of some square/rectangle w/a triangle

B. You can always do tis on graph paper. So we will be moving point B from (1,5) to............... (-1,5)

Hope this helps!!!

As it stands now, A and D are on the same horizontal line, and B and C are on the same horizontal line. However, we want to move only point B.So, if we keep BC parallel to AD, then we want to have BC the same length as Ad, which is 6. Right now, the length of BC is 5-1= 4. So, to increase the length to 6, staying on the line y=5, we move B to (-1, 5).

If 5,x,y,40 are in geometrical progression, find x and y respectively.

Answers

Answer:

x = 10, y = 20

Step-by-step explanation:

Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.

z³ = 8 → z = 2

Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!

Final answer:

To find the values of x and y in the given geometric progression, we use the concept of a common ratio. By setting up equations based on the definition of a geometric progression, we can solve for x and y. In this case, x is 10 and y is 20.

Explanation:

To find the values of x and y in the given geometric progression, we need to identify the common ratio between the terms. In a geometric progression, each term is obtained by multiplying the previous term by the common ratio. Therefore, we have: