Answer:
Express s in terms of v and t
s= v/t, multiplying both sides of the equation by t
Express t in terms of v and s
t= s/v ( from s=vt)
Step-by-step explanation:
Final answer:
To express s in terms of v and t, the formula is rearranged to s = vt. To express t in terms of v and s, the formula becomes t = s/v after rearranging.
Explanation:
To express s in terms of v and t using the formula v = s/t, we can rearrange the equation by multiplying both sides by t to get s = vt. Similarly, to express t in terms of v and s, we rearrange the formula to solve for t by dividing both sides by v, which gives us t = s/v.
To further clarify these transformations:
Expressing s: Start with v = s/t → Multiply both sides by t → vt = s.Expressing t: Start with v = s/t → Multiply both sides by t and then divide by v → s = vt → s/v = t.Perpendicular to 3x-6y=-2 containing points (-3,-8)
Answer:
y = -2x - 14Step-by-step explanation:
[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m\ -\ \text{slope}\\b\ -\ \text{y-intercept}[/tex]
[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]
[tex]\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope intercept from:}\\\\3x-6y=-2\qquad\text{subtract }\ 3x\ \text{from both sides}\\\\-6y=-3x-2\qquad\text{divide both sides by (-6)}\\\\y=\dfrac{-3}{-6}x+\dfrac{-2}{-6}\\\\y=\dfrac{1}{2}x+\dfrac{1}{3}\to m_1=\dfrac{1}{2}[/tex]
[tex]\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-1\cdot\dfrac{2}{1}=-2.\\\\\text{Put the value of a slope and the coordinates of the point (-3, -8)}\\\text{ to the equation of a line:}\\\\-8=-2(-3)+b\\\\-8=6+b\qquad\text{subtract 6 from both sides}\\\\-14=b\to b=-14\\\\\text{Finally:}\\\\y=-2x-14[/tex]
The difference of 2 times a number and 3/4 is 1/2. Determine the number
Answer:
5/8
Step-by-step explanation:
if I understand correctly the problem is
(2*X)-(3/4)=1/2
to solve for x we need to isolate it, the first step in doing so is getting rid of the 3/4
2*X-3/4+3/4=1/2+3/4
simplify
2*X=1 1/4
the next step is getting rid of the 2
(2*X)/2=(1 1/4)/2
simplify
X=5/8
Anahita drives for 3 hours at 15 miles per hour. How far does she travel?
Answer:
45 Miles
Step-by-step explanation:
3 hours * 15mph= 45 Miles in 3 hours
what value is equivalent to -2 x 3² - 8 ÷ 2 + 6?
Answer:
−18x+2
Step-by-step explanation:
help me plssss last one i need
Answer: y=2x-20
Step-by-step explanation:
y+18=2(x-1)
y+18=2x-2
y=2x-20
A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown on the right, making the one day sale price of the ski set $328. Find the original selling price of the ski set.
The original selling price of the ski set is $585.71.
Explanation:Step 1: Determine the final sale price after the first markdown
The one-day sale price of the ski set is $328, and the first markdown is 20%. To find the final sale price after the first markdown, we can set up the equation:
0.80 × Original Price = $328
Solving for the original price, we get:
Original Price = $328 / 0.80 = $410
Therefore, the final sale price after the first markdown is $410.
Step 2: Determine the original selling price
The final sale price after the first markdown is $410, and the second markdown is 30%. To find the original selling price, we can set up the equation:
0.70 × Original Price = $410
Solving for the original price, we get:
Original Price = $410 / 0.70 = $585.71
Therefore, the original selling price of the ski set is $585.71.
Avery bought 5 packs of pencils there were eight pencils in each back if every team line pencils to her friends how many pencils does Avery have left
Answer:
31
Step-by-step explanation:
Avery has 31 left
5 x 8 = 40
40 - 9 = 31
therefore avery has 31 pencils left
P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7
What does n=
Answer:
[tex]n = 3[/tex]
Step-by-step explanation:
Given:
The equation given is:
[tex]p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7[/tex]
We simplify the given equation using the following law of indices:
[tex]a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}[/tex]
Therefore,
[tex]p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5[/tex]
Since the base on both the sides is same, therefore, their exponents must also be same. This gives,
[tex]n+2=5\\n=5-2\\n=3[/tex]
Therefore, the value of 'n' is 3.
how do you find x? really confused
Answer:
[tex]x= 28\°[/tex]
Step-by-step explanation:
We have labelled the given diagram and redrawn again in the attachment.
Also from the labelled diagram given below the given details are;
∠CPQ =[tex](5y-4)\°[/tex]
∠RQF =[tex]3y\°[/tex]
∠BRH =[tex](2x+13)\°[/tex]
∠CPQ = ∠PQF (Alternate Interior Angle)
∠PQF + ∠RQF =180° (Straight angle property)
Now Substituting the values we get;
[tex]5y-4+3y=180\\8y=180+4\\8y=184\\y=\frac{184}{8}=23\°[/tex]
∠RQF =[tex]3y\° = 3\times23 = 69\°[/tex]
∠RQF = ∠BRH (corresponding angles)
[tex]69=2x+13\\2x = 69 -13\\2x=56\\x = \frac{56}{2} = 23\°[/tex]
Hence x = 23°
11 identical pairs of Air Jordan cost $660.What is the cost of one pair?
Answer:
$60
Step-by-step explanation:
11 identical pairs of Air Jordan cost $660.
To find the cost of one pair, you have simply to divide the total amount paid by the total number of pairs.
Total amount paid = $660
Total number of pairs = 11
The cost of one pair [tex]=\$660 : 11=\$60[/tex]
To find the cost of one pair of Air Jordan sneakers from the total cost of 11 pairs, divide the total cost ($660) by the number of pairs (11), which equals $60 per pair.
Explanation:The question concerns determining the cost of one pair of Air Jordan sneakers given the total cost for 11 pairs. This is a basic division problem that falls under the category of arithmetic in mathematics. To find the cost of one pair, divide the total cost by the number of pairs. Here is how the calculation is done step-by-step:
Determine the total cost of all pairs together, which is given as $660.Count the number of identical pairs, which we know is 11 pairs.Divide the total cost by the number of pairs: $660 ÷ 11 pairs = $60 per pair.Therefore, the cost for one pair of Air Jordan sneakers is $60.
Which of the following is the inequality −18x + 2y ≥ −13 written in slope-intercept form?
Select one:
A. y ≥ - 6.5x - 9
B. y ≥ 7x - 10
C. y ≥ 9x − 6.5
D. y ≥ 10x - 7
Answer:
C. y ≥ 9x − 6.5Step-by-step explanation:
[tex]-18x+2y\geq-13\qquad\text{add}\ 18x\ \text{to both sides}\\\\-18x+18x+2y\geq18x-13\\\\2y\geq18x-13\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}\geq\dfrac{18x}{2}-\dfrac{13}{2}\\\\\boxed{y\geq9x-6.5}[/tex]
Find the quotient of 2 ÷ 3/ 8. The quotient is 5 and ______
Answer:
1/3
Step-by-step explanation:
2 ÷ 3 /8
To divide by a fraction, multiply by its reciprocal.
2 ( 8 /3 )
Multiply
2
(
8
3
)
.
Tap for more steps...
16
3
The result can be shown in multiple forms.
Exact Form:
16
3
Decimal Form:
5.
¯
3
Mixed Number Form:
5
1 /3
5 is the quotient and 1 is a reminder.
What is the quotient?the result obtained by dividing two numbers is known as the quotient.
dividend / divisor = quotient + reminder
Given problem 2 ÷ 3/8. after simplifying it.
2 ÷ 3/8 = 16 ÷ 3
2 ÷ 3/8 = 5 + 1/3
Therefore the given problem quotient is 5 and the remainder is 1.
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Solve the equation : n +32=60
1) n= 1.875
2) n= 28
3) n= 38
4) n= 92
N=28
Step-by-step explanation:
Subtract 32 from both sides
i think my answer also n=28
Suppose g(x) = f(x-2) + 3. Which statement best compares the graph of g(x)
with the graph of f(x)?
Answer:
The graph of g(x) is f(x) translated 3 units up.
using elimination method, simultaneously solve, 6x+2y=20 and 0.5x-0.5y=1
Answer:
x=3, y=1. (3, 1)
Step-by-step explanation:
6x+2y=20
0.5x-0.5y=1
-----------------
6x+2y=20
1/2x-1/2y=1
----------------
6x+2y=20
2(1/2x-1/2y)=2(1)
------------------------
6x+2y=20
x-y=2
-------------------
6x+2y=20
x=y+2
---------------
6(y+2)+2y=20
6y+12+2y=20
8y+12=20
8y=20-12
8y=8
y=8/8
y=1
x=1+2=3
x=3, y=1.
Which of the following is NOT a quadrilateral?
Triangle
Rectangle
Square
Trapezoid
Answer:
Triangle
The triangle has 3 sides but the other ones have 4 sides. A quadrilateral has 4 sides.
x|x integars between 4 & 8 lost the elements in the set
Answer:
The set of integer between 4 and 8 = { 5, 6, 7 }.
Step-by-step explanation:
Set:
A set is a well-defined collection of distinct objects, elements encloses in curly bracket.
For example.
set of vowels = { a, e, i, o, u }
set of any three Capital alphabets = { A, B ,Z }
set of cars = { Ferrari, Volvo, Mercedes, Audi }
Now we want set of integer between 4 and 8
Integer: All the positive and negative natural numbers are called integers.
-1, -2, -3, 1, 2, 3, 4, 5, 6 ,7 , 8 ..
The set of integer between 4 and 8 = { 5, 6, 7 }.
3(3p +5) -6p + 3p(5-1)
Answer:
15p+15
Step-by-step explanation:
3(3p+5)-6p+3p(5-1)
9p+15-6p+3p(4)
9p-6p+15+12p
3p+12p+15
15p+15
Caleb paid $26.70, including a 7% sales tax, for a security wallet. How much did the wallet itself cost?
Answer:
24.36
Step-by-step explanation:
26.7 / 1.07 = 24.36
Deja spends 25% of her monthly salary on her rent. Her rent is $650 a month. What is dejas monthly salary
Answer:
Monthly Salary = $2,600
Step-by-step explanation:
Monthly rent on monthly salary = 25%
Monthly rent = $650.
To determine the monthly sale, we have to use the unitary method.
25% monthly rent on monthly salary means out of $100, Deja spends $25 on her rent.
Therefore,
Deja spends $25 on her rent, when the monthly salary = $100
Deja spends $1 on her rent, when the monthly salary = [tex]\frac{100}{25}[/tex]
Deja spends $650 on her rent, when the monthly salary = [tex]\frac{100*650}{25}[/tex]
= [tex]\frac{65000}{25}[/tex]
= $2,600
Her monthly salary is $2,600.
Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
mc008-1.jp
mc008-2.jp
mc008-3.jp
mc008-4.jp
skskskksksksk
D
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
In this problem we have
[tex]m=0.5\\b=2[/tex]
substitute
[tex]y=0.5x+2[/tex]
The easiest way to graph a line is with a pair of points.
Find the intercepts
The y-intercept is given ----> point (0,2)
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]0=0.5x+2[/tex]
[tex]x=-4[/tex]
so
The x-intercept is the point (-4,0)
Plot the intercepts and join the points to graph the line
using a graphing tool
The graph in the attached figure
Of the following equations below, which equation represents a direct variation between x and y?
Select one:
A. 2y = 3x −7
B. y −4 = x +6
C. y +3 = x +3
D. 4y +1 = 4x−1
Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A. [tex]2y = 3x-7[/tex]
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B. [tex]y-4 = x+6[/tex]
Solving above expression we get;
[tex]y-4 = x+6\\y = x+6+4\\y=x+10[/tex]
From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C. [tex]y+3 = x+3[/tex]
Solving above expression we get;
[tex]y+3 = x+3\\y = x+3-3\\y=x[/tex]
From above equation we can state that y is equal to x.
Hence it represent direct variation.
D. [tex]4y+1 = 4x-1[/tex]
Solving above expression we get;
[tex]4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2[/tex]
From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C. [tex]y+3 = x+3[/tex]
David drove 135 miles in 3 hours find the unit rate
Answer:
45 mph
The drawing will help
Answer: 45 miles per hour
Step-by-step explanation:
3 hours = 135 miles
divide both sides by 3
1 hour = 45 miles as you can write this as 45 miles per hour
Chose the substitution method to solve the system of equations choose the correct ordered pair 3x-y=7 2x-2y2
Answer:
(3, 2)
Step-by-step explanation:
3x-y=7
2x-2y=2
------------
y=3x-7
substitute this equation to 2x-2y=2
first, simplify 2x-2y=2 into x-y=1.
-----------------------------------------------------
x-(3x-7)=1
x-3x+7=1
-2x+7=1
-2x=1-7
-2x=-6
x=-6/-2=3
y=3(3)-7=9-7=2
Answer: x=3, y=2.
Which of the following points is a solution to a system of linear equations
y<3x+5
y>-2/3x-3
_
a.(3,14)
b.(3,9)
c.(3,-14)
d.(3,-9)
Final answer:
The point (3,9) is the solution to the system of linear equations because it satisfies both inequalities y < 3x + 5 and y > -2/3x - 3 when the values of x and y are substituted into them.
Explanation:
To determine which of the given points is a solution to the system of linear equations:
y < 3x + 5
y > -2/3x - 3
We substitute the x and y values of each option into the inequalities to find a match.
For point (3,14): Substitute x = 3 and y = 14 into the inequalities.
14 < 3(3) + 5, which simplifies to 14 < 14; this is false.14 > -2/3(3) - 3, which simplifies to 14 > -5; this is true.So, (3,14) does not satisfy both inequalities.For point (3,9): Substitute x = 3 and y = 9 into the inequalities.9 < 3(3) + 5, which simplifies to 9 < 14; this is true.9 > -2/3(3) - 3, which simplifies to 9 > -5; this is true.Therefore, (3,9) satisfies both inequalities and is the solution.Points (3,-14) and (3,-9) can be quickly dismissed as they give negative values for y, which won't satisfy the first inequality since it requires y to be less than a positive value.
it is 6.09 pm the movie starts at 6:30 pm. while standing in the line for the movie, you count 146 people in front of you. nine people buy their tickets in 70 seconds. will you be able to buy your ticket before the movie starts?
Step-by-step explanation:
It is given that [tex]9[/tex] people bought tickets in [tex]70[/tex] seconds.
So,[tex]\frac{9}{70}[/tex] people can buy tickets in a second.
It is given that the current time is [tex]6:09pm[/tex] and movie starts at [tex]6:30pm[/tex].
So there is [tex]30-9=21minutes[/tex] until movie starts.
In [tex]21[/tex] minutes,the number of persons that can buy tickets are [tex]\frac{9}{70}\times 21\times 60=162[/tex].
So,[tex]162[/tex] people can buy tickets in [tex]21[/tex] minutes.
Since there are only [tex]146[/tex] people in front of you,you can buy a ticket.
How many 6 1/4-inch pieces of fabric can be cut from a 75-inch roll?
Answer:
12 pieces
Step-by-step explanation:
75 divided by 6 1/4= 12 pieces
PLEAASE HELP ASAP!!!!!
language arts!!
1. Decide whether each of the following groups of words is a complete sentence (an independent clause) or an incomplete sentence (a dependent clause). If the sentence is incomplete, capitalize it and do whatever else is necessary to make it complete. If the sentence is complete, capitalize the first word and add the appropriate ending punctuation.
Example: three ships went with Columbus
Three ships went with Columbus.
1.because they found no gold in that country
2. after they went running through
3. he wants to visit the moon
4. the boy who has lots of freckles
5. she turned a page in her book
6. a book that I read
7. before the race began
1. Incomplete/ Because they found no gold in that country...
2. Incomplete/ After, they went running through...
3. Complete/ He wants to visit the Moon.
4. Incomplete/ The boy who has lots of freckles...
5. Incomplete I believe/ She turned a page in her book...
6. Incomplete/ A book that I read...
7. Incomplete/ Before the race began....
Answer:
Incomplete/ Because they found no gold in that country...
2. Incomplete/ After, they went running through...
3. Complete/ He wants to visit the Moon.
4. Incomplete/ The boy who has lots of freckles...
5. Incomplete I believe/ She turned a page in her book...
6. Incomplete/ A book that I read...
7. Incomplete/ Before the race began....
Step-by-step explanation:
if 16 candy bars cost $20,how much do 24 candy bars cost.?
To find the cost of 24 candy bars, calculate the cost per candy bar (found by dividing $20 by 16, equaling $1.25) and multiply it by 24. Therefore, 24 candy bars would cost $30.
Explanation:The subject of the question involves unit pricing, a common concept in mathematics. To find the cost of 24 candy bars, first identify the cost per candy bar, then multiply this unit price by the number of candy bars in question.
From the question, we know that 16 candy bars cost $20. So the unit price, or cost per candy bar, is $20 divided by 16, which equals $1.25.
Therefore, the cost of 24 candy bars would be $1.25 (the cost per candy bar) multiplied by 24 (the number of candy bars), which equals $30. Hence, 24 candy bars would cost $30.
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ANSWER MY QUESTION PLEASE
Here is a linear equation: y = 1/4x + 5/4. Find the x-intercept of the graph of the equation.
Hint: the y-value will be 0 at the x-intercept.
write your answer
To find the x-intercept of the linear equation y = 1/4x + 5/4, substitute y = 0 into the equation and solve for x. The x-intercept is -5.
Explanation:To find the x-intercept of the graph of the equation y = 1/4x + 5/4, we need to set the y-value to 0 and solve for x.
So, by substituting y = 0 into the equation, we get 0 = 1/4x + 5/4.
Now, we can solve for x by isolating x on one side of the equation. Subtracting 5/4 from both sides gives us -5/4 = 1/4x. Multiplying both sides by 4 gives us -5 = x, or x = -5.
Therefore, the x-intercept of the graph is -5.
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