how do i simplify this?

How Do I Simplify This?

Answers

Answer 1

Answer:

k = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-84 = -2(2 + 5k)

Step 2: Solve for k

Divide -2 on both sides:                    42 = 2 + 5kIsolate k term:                                    40 = 5kIsolate k:                                             8 = kRewrite:                                              k = 8

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Substitute in k:                    -84 = -2(2 + 5(8))Multiply:                               -84 = -2(2 + 40)Add:                                     -84 = -2(42)Multiply:                               -84 = -84

Here we see that -84 does indeed equal -84.

∴ k = 8 is the solution to the equation.


Related Questions

Write an equation equivalent to the verbal statement “The sum of three times a number n and 7 is 16.”

Answers

3n + 7 = 16 (equation)

3n = 9

n = 3 (answer

Could someone help me

Answers

1) The slope is 2
You can find this by finding this rise over run which is essentially counting from one point to the next

2) y intercept is 6
You can tell because when the x axis is at 0, the point is at 6 for the y-axis

3) Now that you have the slope and y intercept the answer is:
Y=2x+6

Triangle JKL has vertices J(0, 0) K(5, 0) and L(0, -3). Is triangle JKL equilateral? NEED ANSWER

Answers

Answer:

Yes

Step-by-step explanation:

It has two zeros side by side and a zero in each parenthesis, so because they have a common number they are equallateral

[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.

Answers

We are given:

An even number 'n', multiplied by the next consecutive even number is 168

Solving for n:

From the given statement, we can say that:

n(n+2) = 168                      [n multiplied by the next even number 'n+2']

n² + 2n = 168

n² + 2n - 168 = 0               [subtracting 168 from both sides]

We can see that we now have a quadratic equation, solving using splitting the middle term

n² + 14n - 12n - 168 = 0

n(n + 14) -12(n + 14) = 0      [factoring out common terms]

(n-12)(n+14) = 0

Here, we can divide both sides by either (n-12) OR (n+14)

Checking the result in both the cases:

(n + 14) = 0/(n-12)                     (n-12) = 0/(n+14)

n + 14 = 0                                 n - 12 = 0

n = -14                                      n = 12

Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n

Look at the arithmetic sequence below. Use the boxes to create a recursive formula for the sequence. 18, 21, 24, 27, 30, 33... Response area =

Answers

Answer:

we have:

u(1) = 18

u(2) = 21 = 18 + 3

u(3) = 24 = 18 + 3.2

u(4) = 27 = 18 + 3.3

.......

=> the sequence has: u(1) = 18

                                    d = 3

=> u(n) = 18 + 3(n - 1) = 3n + 15

so the recursive formula for the sequence is u(n) = 3n + 15

Step-by-step explanation:

If angle DEF is an isosceles triangle with DE congruent to EF, Find x

Answers

Answer:

Fourth choice, 16

Step-by-step explanation:

The 2 angles are both 74 degrees, so the side that is facing each angle will be the same length, so:

9x - 73 = 3x + 23

add 73 to both sides

9x = 3x + 96

subtract 3x from both sides

6x = 96

divide by 6

x = 16

Express 2 19/250 as decimals.​pls fast

Answers

2.076

2+19/250= 2.076

Is a 1/4 tablespoon less than a 1/2 teaspoon?

Answers

Yes, it is less then 1/2 of a tablespoon.

Answer:

No

Step-by-step explanation:

A tablespoon is equal to 3 teaspoons. A half tablespoon is, therefore, equal to 1 1/2 teaspoons.

I hope this helps! Please give me brainlest!  

SOMEONE HELP ME HURRY ASAP PLEASE ILL CASHAPP PLEASE HELP

Answers

Answer:

48 il take brainliest instead lol

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

76 * 2 = 152

p = 152

152 + 76 + 38 + 94 = 360

The jazz band is selling tickets to raise money for new music stands.
They already had some money in their account when they started
selling tickets at $5.00 each. After selling 3 tickets, the band had a
total of $50 in their account.
Let x = the number of tickets sold, and let y = the total
amount of money in the jazz band's account.
Write an equation in point-slope form.

Answers

Answer: y - $50 = $5*(x - 3)

Step-by-step explanation:

We know that each ticket is sold at $5.00

The band initially had an amount of money M.

We know that after selling 3 tickets, the band had $50

We can write this as:

M + 3*$5.00 = $50

M + $15 = $50

M = $50 - $15 = $35

We want to write the equation for the account in the point-slope form.

We know that the slope will be equal to the cost of a single ticket, and we already have the point:

x = 3

y = $50

Then we can write:

y - $50 = $5*(x - 3)

This is the equation we wanted to find.

Need help to solve this ASAP #6

Answers

Answer:

x = 20

Step-by-step explanation:

The length of the segment EG can be obtained as the sum of the segments EF and FG, that is:

EG = EF + FG

We are given:

EF = 4x + 14

FG = 50

EG = 144

Thus, we set the equation:

144 = 4x + 14 + 50

Simplifying:

144 = 4x + 64

Subtracting 64:

80 = 4x

Dividing by 4:

x = 80/4 = 20

x = 20

Which method can be used to solve - 3-5 = 15? PLEASE HELP!

Answers

Answer:

cross multiply

Step-by-step explanation:

Answer:

OOOoOOOOOOOOooOOooOOOoOoOoOoOoOoOooooooooOOOOFFFFFFFFFFFFFFFFFFFFF

Step-by-step explanation:

You did the same thing to me

Decrease 112kg by 3/8

Answers

Answer:

70 kg

Step-by-step explanation:

[tex]\frac{5}{8}*\frac{112}{1}kg\\\frac{5}{1}*\frac{14}{1}kg\\5 * 14kg\\70 kg[/tex]

Decreasing 112kg by 3/8 is equal to 70kg.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To decrease 112kg by 3/8,

we can multiply 112 by 3/8 and then subtract the result from 112:

112 - (112 x 3/8)

First, we simplify 3/8 by finding a common denominator of 8:

= 3/8

= 3/8 x 8/8

= 24/64

So we have:

112 - (112 x 24/64)

To simplify this expression, we can first divide both the numerator and denominator of 24/64 by the greatest common factor, which is 8:

= 24/64

= (24 ÷ 8) / (64 ÷ 8)

= 3/8

Substituting this value, we get:

112 - (112 x 3/8)

Multiplying 112 by 3/8, we get:

= (112 x 3/8)

= (336/8)

= 42

Substituting this value, we get:

= 112 - 42

= 70

Therefore,

Decreasing 112kg by 3/8 is equal to 70kg.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ3

in drop down menu one - 8, 6, or 5.5
in drop down two - 10.5, 8, 5.5
in drop down three- 33, 22, 11

HELP​

Answers

5.5 8 2.2 hope this helps love

Which expression is equivalent to (4 + x) + 12?

Answers

Are there any choices?

I need help will mark brainliest​

Answers

Answer:

[tex]y=\frac{3}{2} x - 2[/tex]

D.K.G.S. and B are five points on line / • KG + GD = KD • SD + DB = SB KS + SG = KG What is the order of the points from left to right based on their position along line 1? A B, D, G, K, S B K, G,D,S, B C KG,S,D,B D K,S, G,D, B

Answers

Answer: K,S,G,D,B

because KG + GD = KD => G is between K and D

SD + DB = SB => D is between S and B

KS + SG = KG => S is between K and G

=> The order of the points from left to right is   K,S,G,D,B

Step-by-step explanation:

Which amount is largest? 1kg 1dg 100g 1000mg

Answers

Answer:

your answer would be 1kg

Step-by-step explanation:

Answer: The largest one is 1kg

Step-by-step explanation:

Hamburger meat is $2.19 per pound. A box of spaghetti noodles is $0.79.
Chris is going to purchase four pounds of hamburger meat and three boxes of spaghetti noodles. Write an expression that you could use to determine the amount of money Chris will spend.

Answers

Answer:

(2.19 x 4) + (0.79 x 3)

Step-by-step explanation:

ok so u hv to take 2.19 and multiply it by four. Then take 0.79 and multiply it by three.

Answer:

9.55

Step-by-step explanation:

Henry runs each lap in 4 minutes. He will run at most 11 laps today. What are the possible numbers of minutes he will run today?

Answers

Answer:

Step-by-step explanation:

Time taken in each lap = 4 min

Total laps = 11

Total time = 11 x 4 = 44min

Answer:

44 minutes

Step-by-step explanation:

4 minutes per lap . He is running 11 laps. Multiply 4 times 11 and it equals 44

Can somebody please help me

Answers

Answer:

Step-by-step explanation:

the shaded area would be

200*75=15,000 ft^2

from this are we have to subtract the are of the house and of the  garage

house= 40*40=1600

garage=24*30=720

house and garage= 1600+720=2320

15,000-2320=12,680

Answer:

12680 ft²

Step-by-step explanation:

First we will find the area of the house and then the garage.

They're both rectangles so we should use this formula [tex]A=l*w[/tex].

Area Of The House:

[tex]A=l*w\\A=40*40\\A=1600ft^2[/tex]

Area Of The Garage:

[tex]A=l*w\\A=24*30\\A=720ft^2[/tex]

Adding the two areas:

Now we have to add the two together to find how much of the space they take up in the yard.

[tex]1600+720=2320[/tex]

Area Of The Yard:

[tex]A=l*w\\A= 200*75\\A=15000ft^2[/tex]

Subtracting The Two Areas To The Yard's Area:

[tex]15000-2320=12680ft^2[/tex] and that is it!

Justin Bieber was a gangster but ever since Justin Bieber got with Hayley he tried straight not straight as in lgtbq

Answers

TES YES WE I DONT KMOW HOW TO RESPOND TO THIS BUT YESS

Answer:

He’s a good man

Step-by-step explanation:

What percent of 50 is 20?
O 40%
O 2.5%
O 25%
O 4%

Answers

40%
the way i solved this was by turning 20% into a decimal, then multiplying 50 * .20 = 10, then subtracted the 10 from 50

PLZ HELP! I attached the image! Three vertices of parallelogram JKLM are K(6,2), L(2,−2) and M(−1,1). Identify the coordinates of vertex J.

Answers

The answer is (4,4)!!!!!!!!!

Identify the simplest form of each ratio.
36 : 48
48 : 42
20 : 30
16 : 14
9 : 12
56 : 49
24 : 32
24 : 36
18 : 27

Answers

Answer:

38:48=3:4

48:42= 8:7

20:30= 2:3

16:14=8:7

9:12=3:4

56:49=8:7

24:32=3:4

24:36=2:3

18:27=2:3

How do I solve 2-2|7+2x|=0

Answers

Answer:

x=-3

x=-4

Step-by-step explanation:

-2|7+2x|=-2

|7+2x|=1

7+2x=1

x=-3

7+2x=-1

x=-4

Smalls buys a baseball for $15 that discounted 15% He also has to pay 8% tax on the sale price find the final cost that smalls will pay round your answer to the nearest cent if necessary

Answers

Answer:

here's how you calculate sales tax after a discount.

Sale Price = original price – (% of discount * original price)

Sales Tax = Sales Tax rate * Sale Price.

Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86.

Step-by-step explanation:

What is the sum of the interior angles of a polygon with 28 sides? Include the formula in your answer and show your work. Be sure to include the units of measure in your final answer.
Help asap will give brainliest

Answers

Use (n-2) times 180 so the answer is 4,680 degrees
N-2 * 180 would be he answer

Help
Find the value of X

Answers

Answer:

x=11

Step-by-step explanation:

since the triangle is an isosceles triangle, angle 2 should be angle 42 so,

2x+20=42 degrees

2x=22

x=11

What is the x-intercept of the Cubic Function shown below?


A(1,0)
B(0,1)
C(1,7)
D(7,1)

Answers

A (1,0) is the correct answer.
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