Answers
Answer:
k = -5 , k= -2m= -21 , m=5Step-by-step explanation:
4.
[tex]3=\left|2k+7\right|\\\\\mathrm{Switch\:sides}\\\left|2k+7\right|=3\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\2k+7=-3\quad \mathrm{or}\quad \:2k+7=3\\\\2k+7=-3\quad :\quad k=-5\\\\2k+7=3\quad :\quad k=-2\\\\\mathrm{Combine\:Solutions:}\\k=-5\quad \mathrm{or}\quad \:k=-2[/tex]
6.
[tex]3\left|m+8\right|=39\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3\left|m+8\right|}{3}=\frac{39}{3}\\\\Simplify\\\left|m+8\right|=13\\\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\m+8=-13\quad \mathrm{or}\quad \:m+8=13\\\\m+8=-13\quad :\quad m=-21\\m+8=13\quad :\quad m=5\\\\\mathrm{Combine\:Solutions:}\\m=-21\quad \mathrm{or}\quad \:m=5[/tex]
Answer:
4. k = -2 or k = -5
6. m = 5 or m = -21
Step-by-step explanation:
Here is the rule:
To solve an absolute value equation, get the absolute value alone on one side. Then split it into two equations separated by the word or. Each equation has what is inside the absolute value on the left side, and on the right side, one equation has the right side of the absolute value equation, and the other equation has the negative of the right side of the absolute equation.
This is a long explanation which is easier to understand with an example.
Example:
|3x + 2| = 16
Split it into two equations separated by the word "or."
3x + 2 = 16 or 3x + 2 = -16
You see that the left side of the two equations is the inside of the absolute value. The right side of the two equations is positive and negative 16 as explained int he rule.
4.
3 = |2k + 7|
Switch sides.
|2k + 7| = 3
Follow the rule above and split the equation into two equations separated by the word "or."
2k + 7 = 3 or 2k + 7 = -3
2k = -4 or 2k = -10
k = -2 or k = -5
6.
3|m + 8| = 39
We want the absolute value alone on the left side, so divide both sides by 3.
|m + 8| = 13
Now apply the rule above to split the equation into two equations.
m + 8 = 13 or m + 8 = -13
m = 5 or m = -21
Related Questions
Brad and Nora both went bowling last weekend, but not together. Brad went during open bowling time, paying $2 for shoe rental and $3 per hour. Nora went on family night, when each hour was $1 and shoe rental was $6. As it turned out, they played for the same number of hours and spent the same amount. How many hours did each one bowl?
Answers
Which expression represents the perimeter of this figure?
A. 4n(to the second power)
B. 5n
C. 10n
D. 8n
Answers
Answer:
C. 10n
Step-by-step explanation:
The figure has 2 sides with length 4n and 2 sides with length n.
perimeter = 4n + 4n + n + n
perimeter = 10n
The perimeter of the figure is 10n. which is the correct answer would be option (C).
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that the figure has 2 sides with length 4n and 2 sides with length n.
The perimeter of the figure = 4n + 4n + n + n
Apply the addition operation in the above equation, we get
The perimeter of the figure = 10n
Therefore, the correct answer would be an option (C).
Learn more about the Perimeter of the rectangle here:
brainly.com/question/15287805
#SPJ2
Find r, s, and t and then explain how you got your answer using at least two
vocabulary words (adjacent, complementary, supplementary, vertical).
Answers
Answer:
r = 155°
s = 25°
t = 155°
Step-by-step explanation:
25° is supplementary to <r. Therefore:
m<r + 25° = 180°
m<r = 180 - 25
m<r = 155°
25° and <s are vertical opposite angles. Vertical angles are congruent. Therefore, m<s = 25°
<r and <t are vertical opposite angles, therefore, they are congruent.
m<t = m<r = 155°
simplify the expression √100/49
Answers
Answer: 10/7
Step-by-step explanation:
The square root of 100 is 10 and the square root of 49 is 7 so the answer will be 10/7
The required solution is [tex]1\frac{3}{7}[/tex] .
It is required to simplify the expression.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined
Given:
The square root of 100 is 10 and the square root of 49 is 7.
According to given question we have,
[tex]\sqrt \frac{100}{49} \\\\=10/7\\\\=1\frac{3}{7}[/tex]
Therefore, the required solution is [tex]1\frac{3}{7}[/tex] .
Learn more details about expression here:
https://brainly.com/question/14083225
#SPJ2
What are Two angles that have the same measure are called........? (please help due today thank you so much)
Answers
Answer:
Two angles that have the same measure are called CONGRUENT ANGLES...
Plz mark ice bear Brainliest
Two angles that have the same measure are called congruent angles
How to determine the termTwo angles having the same degree of measurement are said to be congruent.
A protractor can be used to compare the angle measures of congruent angles, or angle relationships and properties can be used to find congruent angles in a variety of geometric shapes. Because they enable us to recognize and address issues concerning parallel lines, triangles, polygons, and other geometrical shapes, congruent angles are crucial in the study of geometry.
In order to work with angles and their properties in mathematics, one must first understand congruent angles.
Learn more about angles at: https://brainly.com/question/25716982
#SPJ6
3[–x + (2 x + 1)] = x – 1
Answers
Answer:
x = -2Step-by-step explanation:
[tex]3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\[/tex]
Collect like terms
[tex]3x -x =-1-3[/tex]
Add similar elements
[tex]2x = -4\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{-4}{2}\\\\Simplify\\\\x = -2[/tex]
Point Q' is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q'?
A (9,-5)
B. (1.1)
C (3.-5)
D. (1-1)
Answers
Answer:
A. (9,-5)
Step-by-step explanation:
Translation down is -2 to the y coordinate, which is (5,-5). Then you translate it right 4 units, which is +4 to the x coordinate, so the final coordinate is (9,-5).
please help me :( my mom is she doing my work tomorrow
Answers
2: 23
3: 3
4: 2^3 * 7
Glad i could help :)
At 7 pm. the temperature was 6 degrees. By midnight, the temperature had decreased to 4 degrees below zero. What was the temperature change per hour? Type your answer
Answers
Answer:
56
Step-by-step explanation:
Answer:
The temperature change was -2 degrees per hour.
Step-by-step explanation:
1st hour (8pm) it dropped down to 4 degrees.
2nd hour (9pm) it dropped down to 2 degrees.
3rd hour (10pm) it dropped down to 0 degrees.
4th hour (11pm) it dropped down to -2 degrees.
5th hour (12am/midnight) it dropped down to -4 degrees
Vectors: A boat moves through the ocean on a foggy day. The boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East. What is the speed of the boat relative to a stationary observer on land? __m/s Part 2 The boat turns to face directly West. Now how fast is the boat moving relative to land? __m/s
Answers
Answer:
1.) 14.09 m/s
2.) 6.9 m/s
Step-by-step explanation:
Given that the boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East.
The speed of the boat relative to a stationary observer on land will be achieved by using pythagorean theorem
V^2 = 12.8^2 + 5.9^2
V^2 = 198.65
Square root both sides
V = 14.09 m/s
2.) If the boat turns to face directly West.
Since the boat can move at speed 12.8 m/s in a calm water, the speed of the boat if it face west will be
12.8 - 5.9 = 6.9 m/s
Therefore, the boat is moving relative to land at 6.9m/s
Quincy Jackson sells motorcycles. He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000. How much cornmission will he earn on $19,000 in sales?
Answers
Answer:
total commission= $2,600
Step-by-step explanation:
Giving the following information:
He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000.
First, we need to structure the total commission formula:
total commission= 0.10*x + 0.15*y
X= sales up to $5,000
Y= sales from $5,001 to infinity
Now, sales for $19,000 sales:
total commission= 0.1*5,000 + 0.15*14,000
total commission= $2,600
What does -3mnp equal?
Answers
Answer:
3MN to N =3000000
Step-by-step explanation:
Is 6.56 a rational number
Answers
evaluate 3/5 times 2/4
Answers
answer: 0.3
good luck!
Answer:
0.3 or 3/10
Step-by-step explanation:
I really need help with this math problem. I hope anyone can answer this
Answers
2. Which of the following is not an example of
a perfect square?
a. 9
b. 200
C. 4
d. 64
Answers
In the diagram below, which distances would need to be the same in order for point A to be on the bisector of angle W? Explain why this is true.
Answers
Answer:
PA = XA
Step-by-step explanation:
Construction of an angle bisector,
1). Mark an arc from point W with the help of a compass which intersect lines WS and WZ at the points P and X respectively.
2). Marc two arcs of the same length form the points P and X which intersect each other at a point A.
3). Joint the points A and W.
Thus AW will be the angle bisector of angle PWX where PA = XA.
Therefore, distances PA and XA will be equal in measure.
Square number between 40 and 48
Answers
180-(3x-10) simplify this
Answers
Answer:
-3x+190
Step-by-step explanation:
180-(3x-10)
180-3x+10
-3x+190
Answer:
[tex]180 - (3x - 10) \\ = 180 - 3x + 10 \\ = 190 - 3x[/tex]
hope I am correct
thanks!
3 (n - 5) - (6 -2n) = 4n
Answers
Answer:
21
Step-by-step explanation:
3n - 15 - 6 + 2n = 4n
3 n + 2n = 4n + 15 + 6
5 n - 4n = 15 + 6
n = 21
Answer:
n = 21
Step-by-step explanation:
Use distributive rule: a(b + c) = a*b + a*c
3(n -5) - (6 - 2n) = 4n
3*n - 3*5 + 6*(-1) - 2n *(-1) = 4n
3n - 15 - 6 + 2n = 4n {add like term in LHS}
3n + 2n - 15 - 6 = 4n
5n - 21 = 4n {add 21 to both sides}
5n -21 + 21 = 4n +21
5n = 4n + 21 {subtract 4n from both sides}
5n - 4n = 4n -4n +21
n = 21
4x-15=25 what’s the answer to this? It’s a two step equation
Answers
Answer:
x=10
Step-by-step explanation:
4x=40
x= 40/4
x=10
Elizabeth mode 12 lawns in four hours what is her rate of mowing of mowing in law per hour
Answers
Answer
seventytwo
Step-by-step explanation:
there 60 minute in hour+12+4 becayse 12 lans and 4 hors (correct me ig im wrong)
2+4=2×+4 2+4=2×2+4 2+4=
Answers
Answer:
25 is the correct answer
If r = 8 units and h = 11 units, what is the volume of the cylinder shown above? Use 3.14 for . A. 2,210.56 cubic units B. 753.6 cubic units C. 552.64 cubic units D. 3,039.52 cubic units
Answers
Answer:
A) 2210.56 cubic units
Two angles form a linear pair. the measure of one angles is 15° less than 2/3 the measure of the other angle. Write and solve an algebraic equation to find the measure of each angle. I need help! someone plz help me!
Answers
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
If two angles are a linear pair, then their measures must add up to 180°. A straight line has a measure of 180°.
If we let one angle = x, then the other angle is (2/3)x - 15
Now we can form the following equation:
x + (2/3)x - 15 = 180
(5/3)x = 195
5x = 585
x = 117
Therefore, one angle is 117 degrees, and the other angle is (2/3 * 117) - 15 = 78 - 15 = 63 degrees.
A car's velocity changes from 1.2 m/s to 35.8 m/s in 8 seconds. What is the average acceleration of the car in m/s2?
Answers
Answer:
4.325 meters per second squared.
Step-by-step explanation:
dilations pls help i cant solve
Answers
Answer:
D' (6, - 4 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of D by 2, that is
D(3, - 2 ) → D'(2 × 3, 2 × - 2 ) → D'(6, - 4 )
How many counters are shown below?
Put your answer in tens and ones. Every box needs an answer.
Place a zero (0) in any box with no value.
Help me with this question plz
Answers
Which of the following is a correct proportion?
А. 2/3 = 4/9
B. 5/7 = 10/11
C. 4/6 = 8/12
D. 3/4 = 12/9
Answers
First, we'll solve A.
2 x2 = 4
3 x2 = 9
3x2=6, not 9.
So it is not A.
5 x2 = 10
7 x2 = 11
7x2=14, not 11.
So B. is out too.
It isn't D. because 12/9 is improper and 3/4 isn't.
So C. is left.
4 x2 = 8
6 x2 = 12
hope it helps!
===============================================
Explanation:
Let's go through the answer choices
-----------
Choice A.
Assume that the given equation here is correct. If so, then we can cross multiply to get
2/3 = 4/9
2*9 = 3*4
18 = 12
The last equation is false, so the first equation is also false. Choice A is not the answer.
-------------
Choice B.
We could do the similar trick as with choice A, but I'll use another method.
Use your calculator to find that
5/7 = 0.714 approx
10/11 = 0.909 approx
We get different decimal values for each fraction, so there's no way the two sides are the same. Choice B is crossed off the list.
-------------
Choice C.
I'll use another method here. Note how the denominators are 6 and 12, and how 6*2 = 12. If we multiply top and bottom of 4/6 by 2, then
(4/6)*(2/2) = (4*2)/(6*2) = 8/12
meaning that 4/6 = 8/12 is a true equation. We can see it through cross multiplication
4/6 = 8/12
4*12 = 6*8
48 = 48
or we could use our calculator to find that
4/6 = 0.667 approx
8/12 = 0.667 approx
Another calculator trick you can use is type in "4/6 - 8/12" without quotes and you should get 0 (or very close to it) as a result. This is using the idea that if x = y, then x-y = 0.
Choice C is the answer
----------------
Choice D.
Since we found the answer, we technically don't need to check choice D. But let's do so anyway.
Right off the bat, we know that 3/4 is less than one, while 12/9 is greater than one. So there's no way 3/4 = 12/9 could be true.
Which properties can be used to solve 7y − 15 = −29? Select all that apply. A. Identity Property of Multiplication
B. Addition Property of Equality
C. Distributive Property
D. Inverse Property of Multiplication
E. Commutative Property of Addition
Answers
Answer:
A and E
Step-by-step explanation:
Other 2 wouldn't make sense
Only definite of A
Addition Property of Equality ----If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
Commutative property of addition- changing the order of the numbers we are adding, does not change the sum. Here's an example of how the sum does NOT change, even if the order is changed
The properties that can be used to solve 7y - 15 = -29 are
Addition property of equality and inverse property of multiplication.
Given equation is 7y - 15 = -29.
We will solve for y and see which of the given following properties are applied.
What is addition property of equality and the inverse property of multiplication?Addition property of equality
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
Inverse property of multiplication
It states that every non-zero x multiplied with 1/x will equal 1.
Solve for y.
7y - 15 = -29
We will add 17 on both sides of the equation.
7y - 15 + 15 = -29 + 15
7y = -14
Now, multiply 1/7 into both sides of the equation.
7y / 7 = -14 / 7
y = -2
While solving for y we see that we have to use the addition property of equality and inverse property of multiplication.
Learn more about properties for solving equations here: https://brainly.com/question/13282104
#SPJ5