Please help me soon

Answer:

1/2k+2=5+5/6k

-3 = 5/6k-1/2k

-3=2/6k

k= -9

Final Answer: [tex]k = -9[/tex]

Steps/Reasons/Explanation:

Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided​.

[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]

[tex]b.[/tex] [tex]-9[/tex]

[tex]c.[/tex] [tex]9[/tex]

[tex]d.[/tex] [tex]-21[/tex]

Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]

Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).

[tex]3k + 12 = 30 + 5k[/tex]

Step 4: Subtract [tex]3k[/tex] from both sides.

[tex]12 = 30 + 5k - 3k[/tex]

Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].

[tex]12 = 30 + 2k[/tex]

Step 6: Subtract [tex]30[/tex] from both sides.

[tex]12 - 30 = 2k[/tex]

Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].

[tex]-18 = 2k[/tex]

Step 8: Divide both sides by [tex]2[/tex].

[tex]-\frac{18}{2} = k[/tex]

Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].

[tex]-9 = k[/tex]

Step 10: Switch sides.

[tex]k = -9[/tex]

~I hope I helped you :)~

Answer:

The measure of GJk is 95°

measure of angle HJG is 85

Step-by-step explanation:

45+50= 95

180-95= 85

Answer:

1.) 7 ft = 84 in   2.) 100 yd= 300 ft  3.) 96 oz= 6 lbs  4.) 32 fl oz= 4 c  5.) 48 oz            6.) 80,000 lbs

Step-by-step explanation:

You have to use conversation rates.

1. 84

2. 300

3. 6

4. 4

5. 48

6. 80,000

Step-by-step explanation: I hope this made your day ツ

Answer:

5.777777778

Step-by-step explanation:

:)

Step-by-step explanation:

180° = m<A + m<B + m<C

180° = 45° +60° + m<C

180° = 105° + m<C

m<C = 180° - 105 °

m<C = 75°

Answer:

4.42 is the answer........

Step-by-step explanation:

Im not sure

Answer:

h= 2.5

Step-by-step explanation:

25=10h

25/10=2.5

Answer:

0/2 0/5 0/10

Step-by-step explanation:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.

Answer:

Step-by-step explanation:

I think you have the question incomplete, and that this is the complete question

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

To do this, we can start my mirroring the equation.

x² + y² = (x + y)² - 2xy,

This helps us break down the power from 4 to 2, so that we have

(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)

Recall from identity that

Sin²Φ + cos²Φ = 1, so therefore

(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)

On expanding the power and the brackets, we find that we have the equation proved.

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

Answer:

43

Step-by-step explanation:

The range of the data is 14.

A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).

Given that,

The box-and-whisker plot shows the number of books read by history students during the last school year.

The box extends from 4 to 15 on the number line.

There is a vertical line at 8, median = 8.

The whiskers end at 4 and 15,

So, minimum of data = 4 and maximum of data = 15.

∵ Range = maximum of data - minimum of data

Range = 15 - 4

Range = 11

Hence, the range of the data is 14.

Learn more about boxplot here :

https://brainly.com/question/24834228

#SPJ2

Answer:

20

Step-by-step explanation:

Answer:

1/125

Step-by-step explanation:

[tex](5)^{-3}\\\\=\frac{1}{5^3}\\\\=\frac{1}{125}[/tex]

Answer:

91 ft ≤ (7 ft)n   or   n ≤ 13

Step-by-step explanation:

total amount of edging is

e(n) ≤ 4 ft + (7 ft)n  

This inequality relates the total length of edging to the number of 7 ft rolls needed.

If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n  as

95 ft ≤ 4 ft + (7 ft)n

which simplifies to

91 ft ≤ (7 ft)n   or   n ≤ 13

Natalia must purchase 13 rolls.  This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.

Answer:

50/100 and .50

Step-by-step explanation:

Answer:

you can write it like 1/2 I don't know the other one sorty

Answer:

179.48

Step-by-step explanation:

calculator

Answer:

44.87

Step-by-step explanation:

Answer:

A = $446,068.00

Step-by-step explanation:

A = $446,068.00

I = A - P = $88,068.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8.2%/100 = 0.082 per year.

Solving our equation:

A = 358000(1 + (0.082 × 3)) = 446068

A = $446,068.00

The total amount accrued, principal plus interest, from simple interest on a principal of $358,000.00 at a rate of 8.2% per year for 3 years is $446,068.00.

Answer:

show the graph then we can fingerite out

Step-by-step explanation:

we will have to see the graph then we can see what we are working with

Answer:

0.06493506493

Step-by-step explanation:

Answer:

0.064935065

Step-by-step explanation:

Answer:

27 of the students are girls

Answer:

x=3, y=9

Step-by-step explanation:

Mulriplying the first equation by 2 yields -10x+2y=-12.

Subtracting the second equation from this gives -17x=-51, and thus x=3.

Substituting this back into the first equation gives -15+y=-6, and thus y=9.

5x + 4 - 12 + 4x - 9 + 2y=360

Answer:

3 + x < 100

3 + x - 3 < 100 - 3

x < 97

Step-by-step explanation:

Answer:

[tex]^8C_0=1[/tex]

Step-by-step explanation:

In this problem, we need to find the value of [tex]^8C_0[/tex].

The formula for the combination is given by :

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

We have,

n = 8 and r = 0

[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]

So, the value of [tex]^8C_0[/tex] is 1.

Answer:

1 is     6x+4y=422

2 is     (12,25)

i dont think 2 is right im really sorry about that- but im like kinda confident for one. i would also check with someone else tho

Answer:

3fftedvvvte4ffff

Step-by-step explanation:

ggvggrrrvvg

Answer:

i think C sorry if wrong

Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

Answer:

30 degrees

Step-by-step explanation:

arc measure in degrees is twice the measure of the inscribed angle