Answer
Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.
Step-by-step explanation:
Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.
The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:
540 − 6t.
Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:
|540 − 6t| = 60.
Solve an absolute value equation by writing it as two separate linear equations and solving each one:
540 − 6t = -60 540 − 6t = 60
-6t = -600 -6t = -480
t = 100 t = 80
Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.
The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:
540 − 6t.
Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:
|540 − 6t| = 60.
Solve an absolute value equation by writing it as two separate linear equations and solving each one:
540 − 6t = -60 540 − 6t = 60
-6t = -600 -6t = -480
t = 100 t = 80
The answer is 80
What is Algebra?algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
Kendal is riding at a rate of 6 meters/second
The distance to the library is 540 meters.
Let x represent time in seconds
So, kendal travel = 6x
So, distance between Kendal and the library before she passes it:
=540 − 6x.
Now, Kendal will be 60 meters away from the library.
Kendal will be 60 meters away from the library
540 − 6x= 60
-6x= 60-540
-6x= -480
x= -480/-6
x= 80
Hence, the answer is 80
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
if L is parallel to M, find the value of each missing variable(s)
Answer:
5. x = 13
6. x = 11; y = 3
Step-by-step explanation:
5. (9x + 2)° = 119° (alternate interior angles are congruent)
[tex] 9x + 2 = 119 [/tex]
Subtract 2 from each side
[tex] 9x + 2 - 2 = 119 - 2 [/tex]
[tex] 9x = 117 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{117}{9} [/tex]
[tex] x = 13 [/tex]
6. (9x + 25)° = (13x - 19)° (corresponding angles are congruent)
[tex] 9x + 25 = 13x - 19 [/tex]
Collect like terms
[tex] 9x - 13x = - 25 - 19 [/tex]
[tex] -4x = -44 [/tex]
Divide both sides by -4
[tex] \frac{-4x}{-4} = \frac{-44}{-4} [/tex]
[tex] x = 11 [/tex]
(13x - 19)° + (17y + 5)° = 180° (linear pair)
[tex] 13x - 19 + 17y + 5 = 180 [/tex]
Plug in the value of x and solve for y
[tex] 13(11) - 19 + 17y + 5 = 180 [/tex]
[tex] 143 - 19 + 17y + 5 = 180 [/tex]
Collect like terms
[tex] 129 + 17y = 180 [/tex]
Subtract 129 from both sides
[tex] 129 + 17y - 129 = 180 - 129 [/tex]
[tex] 17y = 51 [/tex]
Divide both sides by 17
[tex] \frac{17y}{17} = \frac{51}{17} [/tex]
[tex] y = 3 [/tex]
Which of the following relations ia a function?
A
{(0,1), (0,2), (0,3), (0,4)}
B
{(1,6), (1,7), (7,8), (8,9)}
С
{(2,3), (3,2), (2,4), (4,2)}
D
{(1,1), (3,2), (6,3), (8,4)}
Answer:
i think the answer is c. hope it helps <3
Step-by-step explanation:
Use the information to answer questions 8 and 9.
Selena was given the expression 36 + 54.
What is the greatest common factor of 36 and 54? Show your work or explain how you identified the GCF.
Answer:
18
Step-by-step explanation:
the factors and prime factorization of 36 and 54. The biggest common factor number is the GCF number. So the greatest common factor 36 and 54 is 18.
ecaluate 4 to the 3rd power
Answer: 64
Step-by-step explanation: 4 to the 3rd means 4 times itself three times.
So we have 4 · 4 · 4 which is 64.
2x=y=6
X+2y=-2
Solving system of equations
What is the slope of the line that passes though the points:
(10,-2), (10,3)
Answer:
Undefined
Step-by-step explanation:
what is this answer and please show me how you got it so I can know how you got it.y= 3 [tex]\sqrt{x + 4} -6[/tex] please hurry also :0 giving 35 points to those who answer first
Employer A is offering you a position for $35,000 per year. Employer B is offering the same job for $18.00 per hour. Assuming both jobs require a 40-hour work week for 52 weeks, which job pays more?
Answer:
employer b
Step-by-step explanation:
he is offering 37,440.
Answer:
B
Step-by-step explanation:
Does noone know this ://?
calculate 4 cm as a percentage of 42 cm
0.0952% ≈ 10%
Step-by-step explanation:Hi !
42 cm ............... 100%
4 cm .......................x%
x = 4×100/42 = 400/42 = 0.0952% ≈ 10%
Good luck !
what is the answer to 2,228 -(-15)? and how would you find the answer?
Answer:
33420
Step-by-step explanation:
PEMDAS
parenthesis first
then multiplication
so a negative(-) times a negative(-15) is a positive. SO it becomes positive 15 times 2228 and equals 33420
How many thousands are in 4 hundread thousand and 4 tens?
Answer:
400
Step-by-step explanation:
400,040 has 400 thousands.
Help me with this pls anyone
Answer:
B
Step-by-step explanation:
x^2=3x-2(subtract 3x and add 2) x^2-3x+2=0(group) (x-1)(x-2)=0(find x) x=1;x=2
find y values for x values and check:
1^2=1, pair 1:(1,1); 3(1)-2=3-2=1, same pair
2^2=4, pair 2:(2,4); 3(2)-2=6-2=4, same pair
pairs: (1,1);(2,4)
A local car dealer is advertising a lease on a Ford Explorer. The upfront cost is $5000 with a monthly lease payment of $289. The cost equation is C = 5000 + 289x, where x is the number of payments. Which of the following statement is true?
A: C is an independent and x is a dependent
B; x is an independent and C is a dependent
C: 5000 is an independent and x is a dependent
D: 289 is an independent and 5000 is a dependent
Answer:
it is B
Step-by-step explanation:
hope this helps you.
Please help. What is the slope for #2?
Answer: -4
Step-by-step explanation:
To find the slope, you want to use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. You can use any two points to solve. Let's use (-2,3) and (-1,-1).
[tex]m=\frac{-1-3}{-1-(-2)} =\frac{-4}{1} =-4[/tex]
Another way to tell is by looking at the arrows with a -4 written next to it. That also tells you what the slope is.
Write 6.384 to 1 decimal place
Answer:
6.384 rounded to one decimal place is 6.4
Step-by-step explanation:
The number rounded to one decimal place is 6.4.
What is rounding off a number?To change a number into an approximation having fewer significant digits.
Given that, 6.384 to 1 decimal place,
Rounding 6.384 to one decimal place would be the same as rounding it to the nearest tenth.
The tenth in this number is 3. To round a number up, look at the number to the right of it - if the number is 5 or greater, then you increase the value of the number you're rounding by 1. If the number to the right of it is 4 or less, then the value of the number you're rounding stays the same.
In this case, the number we're rounding is 3 and the number to the right of it is 8. Since 8 is greater than 5, we have to increase the value of 3 by 1, which means that the number in the tenths position is now 4.
Hence, The number rounded to one decimal place is 6.4.
For more references on rounding off a number, click;
https://brainly.com/question/13391706
#SPJ3
300,000 to nearest 100,000?
Answer:
The answer is 3
Step-by-step explanation:
100,000 times 3 equal 300,000.
hope this helps you :)
A coordinate plane with a line passing through (negative 3, 2) and (0, 3) Find the linear function represented by the graph. The slope of the line is . The y-intercept of the line is at . What linear function is represented by the graph?
1/3
3
f(x) = (1/3)x+3
nice
Answer:
Find the linear function represented by the graph.
The slope of the line is
✔ 1/3
.
The y-intercept of the line is at
✔ 3
.
What linear function is represented by the graph?
✔ f(x) = (1/3)x + 3
Step-by-step explanation:
Can anyone help me with number 5?
Answer:
a
Step-by-step explanation:
ALGEBRA QUESTION THAT NEEDS ANSWER ASAP
A) 11.7
Step-by-step explanation:
sin 20/4=sin 87/c
sin 87×4=sin 20c
3.9945=0.3420c
c=3.9945/0.3420
c=11.7
D
AB = 21
DC = 3x
AD = y +7
BC = 2y
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram
by finding the lengths of the opposite side pairs.
A)
7.3
B)
14,7
21,7
D
21, 14
Answer:
D) 21,14
Step-by-step explanation:
MY NOTES
ASK YOUR TEACHER
According to the Bureau of Labor Statistics, in a recent year, there were 16,359,000 women aged 25 to 34 who were employed and 5,309,000
who were unemployed but looking for work. What is the rate per 1,000 women aged 25 to 34 who were employed? Round to the nearest whole
number.
Answer:
The rate of employed per 1000 women is 754
Step-by-step explanation:
Given
Employed = 16,359,000
Unemployed = 5,309,000
Required
Rate per 1000 women of employed
In this case, Rate is calculated by dividing employed by total women
i.e.
[tex]Rate = \frac{Employed}{Employed + Unemployed}[/tex]
[tex]Rate = \frac{16359000}{16359000 + 5309000}[/tex]
[tex]Rate = \frac{16359000}{21668000}[/tex]
Represent the denominator as a factor of 1000
[tex]Rate = \frac{16359000}{21668 * 1000}[/tex]
Divide
[tex]Rate = \frac{754.288086}{1000}[/tex]
Approximate
[tex]Rate = \frac{754}{1000}[/tex]
Hence, the rate of employed per 1000 women is 754
Bi-conditional
You have a dog if and only if you have a pet. true or false
Answer:
False
Step-by-step explanation:
If the conditional statement was if you have a dog then you have a pet, that would be the biconditional statement. The conditional is true but since not both parts of the biconditional are true, it is false.
Determine if 8.5 represents a solution to the inequality 2x + 3 > 5
yes it is a solution
no it is not a solution
Answer: yes it is a solution
Step-by-step explanation: 2x+3>5 -> x>1
which of these numbers is between 2 and -3 on the number line
A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 times Kelly’s. If the total bill is $114.00, how much does each person owe?
Answer:
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Step-by-step explanation:
Let
Kelly's portion = x
Greg's portion = 2x
Joe's portion = 4x - 1.50
Total bill = $114.00
Total bill = Kelly's portion + Greg's portion + Joe's portion
114 = x + 2x + (4x - 1.50)
114 = 3x + 4x - 1.50
114 = 7x - 1.50
Add 1.50 to both sides
114 + 1.50 = 7x - 1.50 + 1.50
115.5 = 7x
Divide both sides by 7
x = 115.5 / 7
= 16.5
x = $16.5
Kelly's portion = x
x = $16.5
Greg's portion = 2x
= 2 × 16.5
= $33
Joe's portion = 4x - 1.50
= 4(16.5) - 1.50
= 66 - 1.50
= $64.5
Therefore,
Kelly owes $16.5
Greg owes $33
Joe owes $64.5
Which are vertical angels?
Answer:
Those angles are in opposite either in vertical or horizontal. They are opposite angles
A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables
seat 6. Let x represent the number of large tables and y represent the number of small tables. The
expression 10A +6B, which represents the total number of people you can seat using a large tables and
B small tables, is called a linear combination. For instance, 150 people could be seated using 3 large
tables and 20 small tables. Use that expression to enter an equation in standard form that models all the
different combinations of tables the restaurant could use. Then identify at least one possible combination
of tables other than (3, 20).
The equation is
Another possible combination is
).
Answer:
A=0, 3, 6, 9, 12, 15
B=25, 20, 15, 10, 5, 0
Step-by-step explanation:
What is the value of x?
2/7(x+4)= -6
O x=35
O x= -25
O x= 25
O x=35
Hey there!
2/7(x + 4) = -6
2/7(x) + 2/7(4) = -6
2/7x + 8/7 = -6
SUBTRACT 8/7 to BOTH SIDES
2/7x + 8/7 - 8/7 = -6 - 8/7
CANCEL out: 8/7 - 8/7 because it gives you 0
KEEP: -6 - 8/7 because it helps solve for the x-value
NEW EQUATION: 2/7x = -6 - 8/7
SIMPLIFY IT!
2/7x = -50/7
MULTIPLY 7/2 to BOTH SIDES
7/2 * 2/7x = 7/2 * (-50/7)
CANCEL out: 7/2 * 2/7 because it gives you 1
KEEP: 7/2 * (-50/7) because it helps solve for the x-value
NEW EQUATION: x = 7/2 * (-50/7)
SIMPLIFY IT!
x = -25
Therefore, your answer is: x = -25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the value of x?
Answer:
98 degrees
Step-by-step explanation:
First, find the value of the other angle of the triangle.
180-53-45 = 82
Then, subtract from 180 to find x. We do this because they both lie on the same line.
180 - 82 = 98
Which choices are correctly written in scientific notation? Check all that apply
17.1 times 10 Superscript 3
8.05 times 10 Superscript 3
6.25 times 4 Superscript 3
4 times 10 Superscript negative 16
22.09 times 10 Superscript negative 9
3.03 times 10 Superscript negative 1
5 times 10 Superscript 10
3.44 times 1 Superscript 10