Answers
Answer:
k = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality 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 = 8Step 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 = -84Here we see that -84 does indeed equal -84.
∴ k = 8 is the solution to the equation.
Related Questions
What percent of 50 is 20?
O 40%
O 2.5%
O 25%
O 4%
Answers
the way i solved this was by turning 20% into a decimal, then multiplying 50 * .20 = 10, then subtracted the 10 from 50
Is a 1/4 tablespoon less than a 1/2 teaspoon?
Answers
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!
Express 2 19/250 as decimals.pls fast
Answers
2.076
2+19/250= 2.076
Which expression is equivalent to (4 + x) + 12?
Answers
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
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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
Could someone help me
Answers
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
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 x-intercept of the Cubic Function shown below?
A(1,0)
B(0,1)
C(1,7)
D(7,1)
Answers
Justin Bieber was a gangster but ever since Justin Bieber got with Hayley he tried straight not straight as in lgtbq
Answers
Answer:
He’s a good man
Step-by-step explanation:
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
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:
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:
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.
[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
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
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
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
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
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
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
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:
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
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
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
I need help will mark brainliest
Answers
Answer:
[tex]y=\frac{3}{2} x - 2[/tex]
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
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!
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