Answers
Answer:
[tex] k = 26 [/tex] or [tex] k = -\dfrac{22}{5} [/tex]
Step-by-step explanation:
|3k - 2| = 2|k + 12|
[tex] \dfrac{|3k - 2|}{|k + 12|} = 2 [/tex]
[tex] |\dfrac{3k - 2}{k + 12}| = 2 [/tex]
[tex] 3k - 2 = 2(k + 12) [/tex] or [tex] 3k - 2 = -2(k + 12) [/tex]
[tex] 3k - 2 = 2k + 24 [/tex] or [tex] 3k - 2 = -2k - 24 [/tex]
[tex] k = 26 [/tex] or [tex] 5k = -22 [/tex]
[tex] k = 26 [/tex] or [tex] k = -\dfrac{22}{5} [/tex]
Related Questions
Solve the equation using the Properties of Equality. 2/9m -1/9 = 1/18 M=
Answers
Answer: m= 2/3
Step-by-step explanation: 2/9m - 1/9 + 1/9 = 1/18m + 1/9
Simplify--- 2/9m = 1/18m + 1/9
Subtract 1/18 from both sides--- 2/9m - 1/18m = 1/18m + 1/9 - 1/18m
Simplify--- 1/6m = 1/9
Multiply both sides by six---- 6 x 1/6m = 1 x 6 divided by 9
Simplify--- m=2/3
A car travels at a speed of 50 miles per hour for x hours. Find an expression for the distance that the car travels
O A. 50 + x miles
OB. 50
miles
х
O C. 50x miles
D.
Х
miles
50
Answers
Answer: C) 50x
Step-by-step explanation:
how many 0 are in one million
Answers
Answer:
6
Step-by-step explanation:
Dino has 14 coins and 2 one dollar bills which describes the relationship between the coins and the dollar bills?
Answers
Answer:
is A:
Step-by-step explanation:
Dino has 7 times as many coins as he has bills.
I need help with this worksheet too pls
Answers
7.M angle 1 =125. M angle 2 =55
8. M angle 1 and M angle 2 both equal
103
Sorry for not answering the rest I’m lazy rn
Joan won a multi-million dollar lottery. She decides to give $1000000 of her winnings to charity. Her plan is to give 1/2, or 2^-1 to charity in January, then give half of the remaining amount in February, half again in March and so on. a) What fraction remains after 6 months? b) what fraction remains after 12 months? c) Write a fraction as a power of 2 with a negative exponent. d) What amount is remaining at the end of the year?
Answers
Answer:
A) 1/64
B) 1/4096
C) 1/64 = 2^(-6)
D)$244.140625 left.
Step-by-step explanation:
We are told that Joan decides to give $1000000 of her winnings to charity.
Now in January she gave ½ of the winnings to charity.
Which means she gave out;
½ × 1000000 = $500000
So she has left; 1000000 - 500000 = $500000
In February, she gives out ½ of what she has left.
Thus, ½ × 500000 = $250000
So at end of February she has $250000 left
At the end of March, she will have left;
250000 × ½ = $125000
At end of April, she will have left;
125000 × ½ = $62500
At end of May, she will have left;
62500 × ½ = $31250
At end Of June, she will have;
31250 × ½ = $15625
At end of July, she will have; 15625 × ½ = $7812.5
At end of August, she will have;
7812.5 × ½ = $3906.25
At end of September, she will have;
3906.25 × ½ = $1953.125
At end of October, she will have;
1953.125 × ½ = $976.5625
At end of November, she will have;
976.5625 × ½ = $488.28125
At end of December, she will have;
488.28125 × ½ = $244.140625
A) At end of 6 months which is end June, she will have $15625 left.
Thus, fraction left out of initial money is; 15625/1000000 = 1/64
B) At end of 12 months which is end of December, she will have $244.140625 left.
Thus, fraction left out of initial money is; 1/4096
C) For option A, writing it as a power of 2 with a negative exponent.
First of all 64 = 8²
We know that 8 = 2³
Thus 64 = 2^(6)
Thus; 1/64 = 1/(2^(6)) = 2^(-6)
D)At end of the year which is end of December, she will have $244.140625 left.
How much does an isosclese triangle add up to
Answers
Answer:
All triangles add up to 180 degrees.
Step-by-step explanation:
Answer:
isosceles triangle adds up to 180 degrees
Step-by-step explanation:
an isosceles triangle states that 2 sides of the triangle will have the same angle value while the other side wont but they will all add to 180
Prove if possible that the following pairs of triangles are congruent. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and choose for reason “Cannot be determined.” △ DAM ≅?△ by reason ? PLEASE HLEP OUT FILL IN QUESTION MARKS 55 POINTS
Answers
Answer:
ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency
Step-by-step explanation:
The proof of congruency of the two triangles is as follows;
Statement [tex]{}[/tex] Reason
Segment DM is congruent to Segment TM [tex]{}[/tex] Given
Segment AM is congruent to Segment UM [tex]{}[/tex] Given
∠DMA is congruent to ∠UMT [tex]{}[/tex] Given
Therefore, ΔDAM is congruent to ΔTUM [tex]{}[/tex] SAS rule of congruency
Where;
SAS = Side Angle Side
Therefore;
ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency.
Answer:
△ DAM ≅△TUM by reason SAS
m21 = (4x + 9)° and m2 2 = (x - 14)° in the given figure. Find x.
K
37
O 19
7
8
Answers
Answer:
you have it crrect
Step-by-step explanation:
it is 37
My grandmother collects rubber ducks. She has 178
ducks and gives away x ducks. Write an expression to
show how many ducks she has left
Answers
178-x=?
This expression is the answer
90 POINTS I WILL GIVE BRAINLIEST! - If a line with the equation y = x is dilated by a factor of 2 what is the equation of the resulting line? If it is then moved three units up, what is the equation of the resulting line? - I want to say that the equation does not change, is that correct or am I missing something?
Answers
Answer:
Step-by-step explanation:
y=xdilating an equation means you multiply it by constant a
y=x the y=ax after dilation (a=2)
y=x
y=2xIf it is then moved three units up: means you add constant b (b=3)
y=2x+3Answer:
y=2x+3
Step-by-step explanation:
Mr. Drumm is purchasing tickets for a school museum visit. The Museum of Natural History charges a $25 group fee plus $5 per student. The Museum of Modern Art charges a group fee of $35 plus $4 per student. To pay the same amount at each museum, how many tickets will Mr. Drumm have to order?
Answers
Answer:
10 tickets
Step-by-step explanation:
25 + 5x = 35 + 4x
solve for x:
subtract 25 from both sides...
5x = 35 - 25 + 4x
subtract 4x from both sides...
5x - 4x = 10
x = 10, 10 tickets.
To pass a course with a C grade, a student must have an average of 70 or greater. A student's grades on three tests are 69, 75, and 64. Find what score the student must get on the next test to get a C average
Answers
Answer:
72
Step-by-step explanation:
prove that :
tan^2(theta) - tan^2(alpha) = sec^2(theta) - sec^2(alpha)
Answers
Period
Write the slope-intercept form of the equation of each line. Also create a table of values that
displays 8 coordinate pairs.
A) y = 3x - 4
B) y=-3x - 4
C) y = 2x - 4
D) y=-x-4
Answers
An office equipment store buys highlighter pens boxes at a wholesale price of $15 each. It then marks up the price by 94%, and sells the highlighter pens boxes. What is the amount of the markup? What is the selling price?
The amount of the markup is $29.10, and the selling price is $14.10.
The amount of the markup is $14.10, and the selling price is $0.90.
The amount of the markup is $94, and the selling price is $109.00.
The amount of the markup is $14.10, and the selling price is $29.10.
Answers
Answer:
Option (d) is correct.
Step-by-step explanation:
Given that,
The wholesale price of a pen is $15.
It then marks up the price by 94%.
Its marked price is equal to 94% of $15. So,
[tex]\text{MP}=\dfrac{94}{100}\times \$15\\\\\text{MP}=\$14.1[/tex]
Selling price of the highlighter pen is equal to the sum of marked price and the wholesale price.
SP = $14.1+$15
SP = $29.1
Hence, the marked price is $14.1 and the selling price is $29.1
Find the inverse of f(x)
Answers
Answer:
f^-1(x) = {(-1, 0), (0, 2), (2, 3), (3, 4)}
Step-by-step explanation:
Switch the x and y coordinates of each point.
f(x) = {(0, -1), (2, 0), (3, 2), (4, 3)}
Answer:
f^-1(x) = {(-1, 0), (0, 2), (2, 3), (3, 4)}
is 2.81 an irrational number
Answers
Answer:
No.
Step-by-step explanation:
It can be written as 2 81/100 or 281/100 so it is not irrational. An irrational number is a number that cannot be written as a ratio of two numbers
Answer:
no, 2.81 is a rational number.
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.
A photographer charges customers a one-time
booking fee and an hourly rate of $50. For a 1-hour
photo session the photographer charges $95. Write
a linear equation that represents the total charge t
for h hours of service.
Answers
to first solve this we need to write an equation by find time
T+50+95
-50 - 50
t= 45
then we have to find hour
h=45+50+95
45
50
95+95=
h= 190
and to write this as a linear equation we write this
( h-t=a)
(190-50-45 = 95)
190
50
140
-45
95
Given t(x)=-4.9t^2+3t+10, what is the value of t(1)?
Answers
Answer: 8.1
Step-by-step explanation:
ok so whenany thing say a letter then (x). it simply means whats the answer to tht equation if x=#. in this case it means what would the answer of the equation be if t= 1.
First you input 1 in place for all values of t
f(1)= -4.9(1)^2 +3(1)+ 10
-4.9(1)^2= -4.9
then
3(1)= 3
-4.9+ 3+10= 8.1
Can anyone please help me with this question!!
Answers
Answer:
its is A,B and D
Step-by-step explanation:
find the square root of both and find the values that lie between them :)
Is -49 a equivalent form of 7^-2
Answers
No they are not the same
This is because 7^(-2) = 1/(7^2) = 1/49
The general rule is x^(-y) = 1/(x^y)
5x-3y=-9 does anyone know an easy way to solve this
Answers
5x-3y=-9
+3 +3
5x-y=-6?
-5 -5
x-y=-11
hope it helps!
I'm sorry if it is wrong cuz I'm kind of confused myself...
Perry currently has $180 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answers
Answer:
180-6x=x+8 =24 57/100
Step-by-step explanation:
I think this is correct, maybe. (It made sense in my head).
what's the solution of 6(3-2x)=54 ?
Answers
Answer:
X=-3
Step-by-step explanation:
Answer:
x=−3 is the answer
plss help asap i’ll give brainliest
Answers
Answer:
domain is -6 and 4
range is -4 and 4
Answer:
Domain is {-6, -3,2, 6, 3}
Range is {4,-4,-9}
Step-by-step explanation:
Written out, the points are (-6, 4)(-3,-4)(2,-4)(6, -9)(3,-9)
Domain is x axis, range is the y axis
Is this relation a function and why?
Answers
Answer:
no
Step-by-step explanation:
it doesnt pass the vertical line test -60 has 2 values
Complete this item.
Identify ∠1 and ∠ 2. Select all that apply of the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplementary.
Answers
Obtuse and adjacent are the correct answers.
help quick!!!!! be original
Answers
Answer:
Yes because they both have a right angle
Step-by-step explanation:
Write the equation of the line that passes through the given points. (0, -2) and (-5, -8)
Answers
y=6/5x-2
This is because the y-intercept is -2 and the slope is 6/5 or 1.2
