Solve the equation
1/2 k + 2 = 5 + 5/6 k
a. 2 1/4
b. -9
c. 9
d. -21
Please select the best answer from the choices provided
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 :)~
Which graph represents the function h(x) = |x| + 0.5?
Answer:
B
Step-by-step explanation:
Q.23 Prove that: (sin4A - cos4A + 1) = 2sin2A
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
Please answer A and B!!!
Answer:
7 and 2
Step-by-step explanation:
i did this before i know
What is the slope and y intercept of this diagram
The Answer is 1/5 and 5
ABCDE is a regular pentagon. Find each lettered angle measure.
Answer:
x° = 36°, y° = 36°, z° = 72°
Step-by-step explanation:
Each interior angle of a regular polygon is given by the following formula;
Interior angle = (n - 2)×180°/n
Where;
n = The number of sides on the polygon
For the pentagon, we have;
n = 5, therefore;
Interior angle = (5 - 2)×180°/5 = 108°
ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;
∠ADC = ∠DAC = x°, and ∠ACD = 108°
Therefore
x° = (180° - 108°)/2 = 36°
x° = 36°
∠BAC = 2·x° + y° = 108°
∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°
y° = 36°
ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each
Therefore, in ΔADE, we have;
z° = (180° - 36°)/2 = 72°
z° = 72°
HURRY I NEED HELP ASAP
Which set of angle measures would determine a triangle
a. 75,15,10
b.150,20,50
c.50,50,100
d.75,5,100
e70,60,40
Answer:
D
Step-by-step explanation:
all should add up to 180
Answer:
E. 70°, 60°, 40° D. 75°, 50, 100 C. 50°, 50°, 100°
Step-by-step explanation:
If you add the three degrees together, they all should equal 180 degrees.
Hope this helped :)
Please help don’t pass this question please help me out !
Answer: I think it is (D)
Step-by-step explanation: Its hard to explain but I hope this helps anyways!
Answer:
I think its D to so I would go with that
CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!
Answer:
no
Step-by-step explanation:
it has no number behind it so it is just 12 which is a integer
Answer:
Amelia is correct.
According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.
100
3
80
6
60
9
40
20
0
100
web and Windows
BE
a
02 AM
NETT Dann
Answer:
Uhhhh what?
Step-by-step explanation:
I am confused...
Can someone help me please
Answer:
7920
Step-by-step explanation:
all you have to do is just multiply the the feet in a mile by how any miles there are so basically
=> 1.5 * 5280 = 7920
Answer:
7,920 ft
Step-by-step explanation:
1.5 miles
1 mile = 5,280 feet
1.5 × 5,280 = 7,920 ft
or
5,280 ÷ 2 = 2,640
2,640 + 5,280 = 7,920 ft
-5x + y = -6
7x + 2y = 39
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.
HELP ASAP PLS I DONT UNDERSTAND IM GIVING 15 POINTS AND ILL GIVE BRAINLIEST TO WHOS RIGHT
Answer:
(1.5, -2.5)
Step-by-step explanation:
Mate, I think you best get to studying, plotting coordinates are the fundamentals of algebra and euclidean geometry.
Anyways, (x, y). When you replace the variables, you determine the coordinates are (1.5, -2.5).
Answer:
C, 1.5, -2.5
Step-by-step explanation:
Count the lines between each axis to figure out the coordinates. If the point is in between a line, it is a half.
Ethan worked for 2 3/4 hours and earned $20.90.
How much would he make if he worked for 7 1/4 hours?
find sq.root of 19.537 by division method?
Answer:
4.42 is the answer........
Step-by-step explanation:
Im not sure
I need help with this pls.....
Answer:
The measure of GJk is 95°
measure of angle HJG is 85
Step-by-step explanation:
45+50= 95
180-95= 85
i don’t understand this , what’s the answer?
Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....
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.
What is long division answer to 6 divided by 92
help plssssssssssssssss
Answer:
the answer is c
Step-by-step explanation:
please help I'm literally about to cry I just need the answers
Answer:
a. han did not divide -10x by 4
b. y intercept:5, x intercept:2
Step-by-step explanation:x
reason for b: you can graph y=-[tex]\frac{5}{2}[/tex]x+5 to get the y and x intercept
If f(x) = 4x + 5, what is the inverse of F(x)?
Answer:
f^-1(x) = 1/4 x - 5/4
Step-by-step explanation:
f(x) = 4x + 5
y = 4x + 5
x = 4y + 5
4y = x - 5
y = 1/4 x - 5/4
f^-1(x) = 1/4 x - 5/4
NEED HELP ASAP!!!! WILL MARK BRAINLIEST!!!!!
Which statement best compares the rate of change of the two functions?
O The rate of change of both functions is 2
O The rate of change of both functions is 3.
O The rate of change of function A is greater. than the rate of change of function B.
O The rate of change of function B is greater than the rate of change of function A.
Answer: The rate of change is 2
Step-by-step explanation:
Divide the Y by X for each of them and they all are 2
In a random sample of 300 people in a town, 193 were female. What is the sample portion of female
Answer: 0.643
Step-by-step explanation:
There are 300 people and 193 were female.
The sample portion that is female is therefore;
= 193/300
= 0.643
4 times a number less than 7 times the same number is 24. Find the number.
Answer:
the number is 1
Step-by-step explanation:
4(7n-n)=24
28n-4n=24
24n=24
n=1
cark earned grades of 62, 78, 59, and 89 on four tests.
what is the mean of his grades
Answer:
72
Step-by-step explanation:
mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.
i think the answer is 579
can u pls help me with this question
i will give brainliest to whoever answers thiss!!
Answer:
y=3
Step-by-step explanation:
-5y=-11-4
-5y=-15
y=-15/-5
y=3
Hope this helps u...
Answer:
y=3
Step-by-step explanation:
Help me out real fast pleaseeeeeeee
Answer:
25/6 = 4 1/6
Step-by-step explanation:
what you do is 5/6 times 5 i am pretty sure this is right
Answer:
B. 4 1/6
Step-by-step explanation:
1. Identify your key factors:
Terrance: 5
Brother: 5/6
2. Let's make them both fractions:
T: 30/6 B: 5/6
3. Now subtract the difference:
30/6-5/6
25/6
4. Simplify:
4 1/6
An oxygen mask is placed on a patient. Oxygen is administered to the patient for 5 minutes. Then the oxygen
mask is removed and the amount of oxgyen in the body decreases exponentially. Which graph best describes the
amount of oxygen in the patient's bloodstream beginning with the moment when oxygen is first administered?