Answers
[tex] \frac{k}{2} + 1 - 1k = -2k [/tex]
Simplify
[tex] \frac{1}{2} k +1-k=-2k[/tex]
[tex] \frac{-1}{2} k+1=-2k[/tex]
[tex] \frac{3}{2} k+1=0[/tex]
[tex] \frac{3}{2} k =-1[/tex]
[tex]k=-1* \frac{2}{3} k= -2/3 [/tex]
Related Questions
what is rounding and estimate 253,495 - 48,617=
Answers
Answer:
205000
Step-by-step explanation:
Given : 253,495 - 48,617
To Find : What is rounding and estimate
Solution:
To Estimate a difference by rounding.
1 ) Round each term that will be subtracted
2 )Subtract the rounded numbers
Round off of 253,495 = 253000
Round off of 48,617 = 48000
So, 253000 - 48000 = 205000
Hence The rounding and estimate 253,495 - 48,617= 205000
Answers are appreciated! :D
Answers
it has the same 2 symmetry lines
The correct option is d. 8 oz. can of juice is most convenient to meet this requirement.
First, let's convert 240 milliliters to ounces because the answer choices are in ounces.
1 milliliter is approximately equal to 0.0338 ounces.
So, 240 milliliters is approximately \( 240 \times 0.0338 \) ounces, which is about 8.112 ounces.
Now, let's examine the options:
a. 5 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.
b. 4 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.
c. 12 oz. can of juice: More than enough juice. It's more than the required 8.112 ounces.
d. 8 oz. can of juice: Exactly the amount needed. It matches the required 8.112 ounces, which is the closest to the calculated amount of 8.112 ounces.
Therefore, the 8 oz. can of juice is the most convenient option to meet the requirement of having 240 milliliters of juice every 2 hours.
What is 128/56 simplified⁉️
Answers
solve the equation by completing the square 5x(x+6)=-50
Answers
5x^2 + 30x = -50
Lets divide every term by 5
x^2 + 6x = -10
To complete the square we have to half the b value, which in this case is 6. Then square it.
Half of 6 is 3, 3 squared is 9
Add that to both sides of the equation
x^2 + 6x + 9 = -1
Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment)
(x+3)^2 = -1
Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and
x = -3 + i
To solve the equation 5x(x+6) = -50 by completing the square, we first isolate the quadratic term and then add the square of half the coefficient of x to both sides of the equation. Taking the square root gives us the solution x = -3 + i and x = -3 - i.
Explanation:
To solve the equation by completing the square, we first need to isolate the quadratic term on one side of the equation. So, let's distribute the 5x to get 5x^2 + 30x = -50. Next, we move the constant term to the other side and divide the equation throughout by the leading coefficient to get x^2 + 6x + 10 = 0.
Now, we can complete the square by adding the square of half the coefficient of x (which is 3) to both sides of the equation. This gives us (x + 3)^2 + 10 - 9 = 0, which simplifies to (x + 3)^2 + 1 = 0.
Taking the square root of both sides, we get x + 3 = ±√(-1), which means x = -3 ± i. Hence, the solution to the equation is x = -3 + i and x = -3 - i.
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translate the variable into word phrase 4b-2
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I need Help with my multi step equations!
Answers
-11b+2=36+6b
-17b+2=36
-17b=34
b=-2
16. 48+32h=-39+3h
48+29h=-39
29h=-87
h=-3
17. -20r+5=-20r+20
5¥20
no solution
18. a+7=7a+21+18-6a
a+7=a+39
7¥39
no solution
19. -8b+24=24-24b
16b+24=24
16b=0
b=0
20. 5a+4=5a-10
4¥-10
no solution
What are 5/6 and 7/9 written with their least common denominator (LCD)?
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The least common denominator of 5/6 and 7/9 is 18. This results in equivalent fractions of 15/18 for 5/6 and 14/18 for 7/9.
Explanation:To find the least common denominator (LCD) of the fractions 5/6 and 7/9, we first find the least common multiple (LCM) of the two denominators, 6 and 9. The LCM of 6 and 9 is 18.
Next, we convert each fraction to an equivalent fraction with the LCD as the new denominator. We multiply the numerator and denominator of 5/6 by 3 to get 15/18. Similarly, we multiply numerator and denominator of 7/9 by 2 to obtain 14/18.
So the fractions 5/6 and 7/9, when written with their LCD, are 15/18 and 14/18, respectively.
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Given the area of a square is 225 square feet, what is the length of each side
Answers
Let's set the side as x feet.
x^2=225
x=square root of 225
x=15
The length of each side is 15 feet.
Hope this helps!
Your fortune is "Never throw away your shot."
A whale dives at a speed of 3 feet per second. What is the change in position of the whale relative to where it started after 12 seconds?
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Which number line correctly shows 2 2/5, 2 4/5, and 11/5?
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stickers are made with the same ratio of width to length. A stickers 2 inches wide has a length of 4 inches.
Answers
If you are given a width, double it to find the length.
If you are given a length, find half of it to find the width.
What is the question?
These are the round-trip distances that city buses traveled on different routes each month. Calculate the total distance, in miles, that buses travel each route in one year.
350 3/5 miles to Parkville
346 3/10 miles to Green City
134 1/5 miles to Evergreen Town
327 4/5 miles to Jefferson
413 7/10 miles to Clinton City
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Which fraction is equivalent to [tex] \frac{30}{35} [/tex]?
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6/7 because if you divide 30/35 by 5 it will leave at 6/7
what is 12 times 21 ? Plz hurry amanda
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Which of the following is a multiple of 4?
A. 620
B. 891
C. 734
D. 626
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When sales representatives for a pharmaceutical company drive out of town meetings that require an overnight stay, they receive $175 for lodging plus $0.70 per mile driven. How many miles did Joe drive if his company reimbursed him $329 for an overnight trip?
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
Answers
$329=$175+$0.70x
329-175=.70x
154=.70x
154/.70=x
220miles =x
Joe was given $329 for an overnight trip because he drove a distance of 220 miles
Word ProblemGiven Data
Amount rep receive = $175Added amount per mile driven = $0.70Reimbursed/Total = $329The Mathematical relation for this scenario is
Total amount = Amount Receive+ 0.7*Distance driven
let the distance driven be x
Substituting our given data into the relation we have
329= 175+ 0.7*x
329-175 = 0.7x
154 = 0.7x
divide both sides by 0.7
x = 154/0.7
x = 220miles
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What is 68√ in simplest radical form?
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Tran drove his car at a constant speed of 55 mph.
Which is an equation for the distance Tran drove?
A. 55d=t
B. d=55t
C. t/d=55
D. 55/d=t
Plz help I think the answer is D am not sure.
Answers
The correct equation for the distance Tran drove at a constant speed of 55 mph is B. d = 55t.
In this equation:
"d" represents the distance in miles that Tran drove.
"t" represents the time in hours.
So, the distance "d" is equal to Tran's constant speed of 55 mph multiplied by the time "t" in hours, which is why the equation is written as d = 55t.
Option D is not the correct equation because it has the variables and constants in the wrong order.
The correct order is distance (d) on the left side of the equation, followed by the constant speed (55) and then the time (t) on the right side of the equation.
for such more question on distance
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4 girls and 4 boys run. Then 2 more children run. The same number of girls and boys run. How many of each run
Answers
If we start out with the same amount of boys and girls at the beginning, then we must add the same number to both groups to maintain that same amount. In this case, since there's already 4 in both groups, you would need to split 2 in half and add the remainder to both groups.
2 ÷ 2 = 1
boys: 4 + 1 = 5
girls: 4 + 1 = 5
So, 5 girls and 5 boys are running.
Hope this helped you out! :-)
divide 9x^2 square root by square root 18y^2
Answers
MAXIMUM POINTS!!!!! PLEASE HELP
A popular cellular phone family plan provides 1,500 minutes. It charges $89.99/month for the first two lines and $9.99/month for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.
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What is the point slope form of the line with slope −14 that passes through the point (−2, 9) ?
a.y+2=−14(x−9)
b.y−9=−14(x+2)
c.y−2=−14(x+9)
d.y+9=−14(x−2)
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its not d its the +2 one
what happens when the slope is doubled?
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I really need help with this one...
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From 100 to 999, how many number are there?
To answer the first question, let's look at all numbers in the 100's that have at least one zero.
100
101
102
103
104
105
106
107
108
109
110
120
130
140
150
160
170
180
190
There are 19 of them.
There are also 19 of them in each of the 200's, 300's 400's 500's, 600's, 700's, 800, and 900's.
That means there are 9 * 19 = 171
Now we need to answer the second question.
How many numbers are there from 100 to 999?
There are 900 numbers.
Now divide the first number by the second number:
171/900
Add write the double fact you used to solve the problem 8+7
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8+8 equals 16 and then just take one way to make seven plus eight to make 15
A 25-foot streetlight casts a showdown 20feet long.If Melanie is standing at the end of the shadow casted by a 60. -foot tall building,how far is she from the building.
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Heres my working
20% of 25=20 so 20% of 60=48.
Hope this helped ☺️
By setting up a proportion based on the similar triangles created by the streetlight and the building, we can find that Melanie is standing 48 feet away from the building.
To solve the problem of determining how far Melanie is standing from the building using the shadows, we can use similar triangles. We are given a 25-foot streetlight that casts a 20-foot shadow and a 60-foot tall building. The goal is to find the length of the shadow cast by the building, which will tell us how far Melanie is from the building.
By setting up a proportion based on the similar triangles, we have:
Height of the streetlight / Length of streetlight's shadow = Height of the building / Length of the building's shadow.25 feet / 20 feet = 60 feet / x feet.To find the value of x, we cross multiply:25x = 60 * 20.x = (60 * 20) / 25.x = 1200 / 25.x = 48 feet.Therefore, Melanie is standing 48 feet away from the building.
What is the value of the expression? 3.2(2.3)−4.8 Enter your answer in the box as a decimal.
Answers
3.2(2.3) - 4.8
Simplify.
(3.2 × 2.3) - 4.8
Simplify.
(7.36) - 4.8
Simplify.
2.56
Hope this helped. :)
3.2 (2.3)=7.36
7.36-4.8=2.56
Michelle bought 76 pounds of cocoa powder for her bakery. Every day she used the same amount of cocoa powder to make bakery items. After 10 days, Michelle was left with 20.2 pounds of cocoa powder. On average, how many pounds of cocoa powder did Michelle use each day?
5.58 pounds
7.45 pounds
9.62 pounds
12.6 pounds
Answers
First, subtract 76 and 20.2 which leaves you with 55.8 and that is how much cocoa powder she used. Now divide that by 10 because that's how many days she used the cocoa powder and you get your answer of 5.58. Answer is A
Write the equation of a line whose slope is -2 and passes through (-1,6). Write the answer in slope-intercept form.
Answers
slope(m) = -2
(-1,6)....x = -1 and y = 6
now we sub and find b, the y int
6 = -2(-1) + b
6 = 2 + b
6 - 2 = b
4 = b
so ur equation is : y = -2x + 4 <==
Start by plugging all those values into the slope intercept equation.
6 = -2*-1 + B
Solve for B.
B = 4
Now, all you have to do is put it back into the equation again, this time not using the (X,Y) we had initially, but just the slope (-2) and our new "B" value (5).
The resulting equation looks like this:
y= -2x + 4
And that's the answer.
What is x for 7x plus 4 over 6 equals negative 4