Two friends race. The first friend gets a head start and runs at a steady rate of 0.20 miles per minute. The second friend waits 1 minute and then runs at a steady rate of 0.25 miles per minute. How long will it take for the second runner to catch up with the first?
Step-by-step explanation:
In this problem we are expected to solve for the time taken for the second person to meet with the first.
given that
first person's speed=0.2mph
let time taken be= x
we know that
velocity= distance/time
0.2=distance/x
distance=0.2x----1
second person's speed= 0.25mpm
time taken=x-1
we know that
velocity= distance/time
0.25=distance/x-1
distance=0.25(x-1)
distance=0.25x-0.25-----2
equating equation 1 and 2 we have
0.2x=0.25x-0.25
0.2x-0.25=-0.25
-0.05x=-0.25
divide both sides by -0.05 we have
x=-0.25/-0.05
x=5
we know that the second person's time is described by
=x-1
=5-1=4min
The second person will catch up after 4 minutes
What is the multiplicative inverse of 4 5/19
Answer:
The answer is 4 and 5 ii think Step-by-step explanation:
Airplanes are sometimes used to fight fires. A certain airplane can deliver 4 x 10 liters of water in one trip. How much water can this airplane deliver in 34
trips?
Write your answer in scientific notation.
Answer
1360
Step-by-step explanation:
4x10 is 40 so you'd have to multiply 40x34 which is 1360
136×10 is the amount of water used by the airplane to deliver 34
trips.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
Given that Airplanes are sometimes used to fight fires.
A certain airplane can deliver 4 x 10 liters of water in one trip.
We need to find how much water can the airplane deliver in 34
trips
Let us find the water used for one trip.
1 trip is 4 x 10 liters which is 40 litres.
Now we have to find for 34 trips.
We have to multiply 34 with 40 litres
34×40
Thirty four times forty
1360
Now we have to convert it to the scientific notation 136×10
Hence, 136×10 is the amount of water used by the airplane to deliver 34
trips.
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what is y= -3/2x - 1/4 in standard form?
Answer:
6x+4y=-1
Hope this helps!! <3
What is 9x+1=7x-9? Help, please :) thanks.
Use given graph to determine the limit, if it exists. Find lim f(x) -2 and lim f(x) 2+ WILL GIVE BRAINLIEST
Answer:
it does not exist my friend
Graph the line that passes through the points (3,7) and (-9, -1) and determine
the equation of the line.
Answer:
y=2/3+5
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:
Write 2 5/7 in radical form
Answer:
19/7
Step-by-step explanation:
Golving Linear Equation Application Problems
Content attribution
Use a Formula to Solve a Real World Application
Question
On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend. On Sunday evening, due to
heavy traffic, it took Jennifer 4 hours to return home. Her speed was 5 mi/hr slower on Sunday than on Saturday. What was
her speed on Sunday? Do not include units in your answer.
Provide your answer below:
FEEDBACK
Answer:
Speed of Jennifer on Sunday [tex]=45[/tex] mi/hr
Step-by-step explanation:
Let speed of Jennifer on Saturday be x mi/hr
On Saturday morning, it took Jennifer 3.6 hours to drive to her mother's house for the weekend.
Distance travelled by Jennifer on Saturday = Speed × Time [tex]=3.6x[/tex] miles
Speed of Jennifer on Sunday = [tex](x-5)[/tex] mi/hr
On Sunday evening, due to heavy traffic, it took Jennifer 4 hours to return home.
Distance travelled by Jennifer on Sunday = Speed × Time [tex]=4(x-5)[/tex] miles
As distance is obviously same on both Saturday and Sunday,
[tex]3.6x=4(x-5)\\3.6x=4x-20\\20=4x-3.6x\\20=0.4x\\x=\frac{20}{0.4}\\ x=50[/tex]
Therefore,
Speed of Jennifer on Sunday = [tex](50-5)=45[/tex] mi/hr
The Smith family and the Jackson family are having their basements remodeled. the Smiths contractor charge $16.50 an hour plus $289 in supplies. the Jackson’s contractor charge is $18.75 an hour and $274.60 and supplies. at how many hours of work with the total cost be the same for both families
Answer:
6.4 hrs
Step-by-step explanation:
16.5h + 289 = 18.75h + 274.6
16.5h-18.75h = 274.6-289
-2.25h=-14.4
h=14.4/2.25
h=6.4 hrs
check
6.4×16.5=105.6
105.6+289=394.6
18.75×6.4=120
120+274.6=394.6
It turns out i need sum help help TOTTALY isnt cuz i dont wanna do it :')
10pnts
Answer: Multiply by 17 and simplify them.
Step-by-step explanation:
Find the value of x?
Answer:
In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.
Use the literal equation m=5/4n-7 to find m when n =40
Help plz
Answer: 5/153
Step-by-step explanation:
Well, you'd just have to plug in 40 for n.
5/(40*4 - 7) = m
5/(160-7) = m
5/153 = m
An equation is formed of two equal expressions. As per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of m from the given equation can be found by substituting the value of n as 7 in the given equation as shown below.
m = (5/4)n - 7
Substitute the value of n as 40,
m = (5/4)40 - 7
m = (5/1)10 - 7
m = 50 - 7
m = 42
Hence, as per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
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Einstein once developed the formula, E = mc2, to describe the theory of relativity, where E is the total energy in the system, m is the total mass, and c2 is the speed of light. If the equation was to be rearranged in order to solve for the total mass, which formula below should be used?
A - m = E/c2
B - m = E — c2
C - m = Ec2
D - m = E + c2
Answer:
The formula which should be used is [tex]m=\frac{E}{c^{2}}[/tex] ⇒ A
Step-by-step explanation:
To solve an equation of different variables to one of these variables do that
Write the equation and underline the variable you want to solve for itSeparate this variable on one side and all other terms on the other sidesLet us do that with the question
∵ E = mc²
→ E is the total energy
→ m is the total mass
→ c² is the speed of light
∵ We need to solve the equation for the total mass m
→ We need to take c² to the other side
∵ c² is multiplied by m
∴ Divide both sides by c² to move it from the right side to the left side
∴ [tex]\frac{E}{c^{2}}=\frac{mc^{2}}{c^{2}}[/tex]
→ Cancel c² with c² on the right side
∴ [tex]\frac{E}{c^{2}}=m[/tex]
→ Switch the two sides
∴ [tex]m=\frac{E}{c^{2}}[/tex]
The formula which should be used is [tex]m=\frac{E}{c^{2}}[/tex] ⇒ A
Need help ASAP! Ty
. 。 • ﾟ 。 .
. . 。 。 .
. 。 ඞ 。 . • •
ﾟ Black was not An Impostor. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
Answer:
Its 22 squared feet
Step-by-step explanation:
you multiply everything and then divide by 1/2 because it's a triangle, so you would use the equation for that.
Answer:
the first one
Step-by-step explanation:
my correlation coefficient for the linear model i created is 0.8. What does this mean?
FIRST TO ANSWER GETS BRAINLEIST! (Doing 5 more so check my recent :)
Oh hi, it's nice to meet you!
Answer:
35x+24=28x+45
Step-by-step explanation:
3+(4 times 5-2)+8 what’s the answer
Answer:
29
Step-by-step explanation:
Answer:
3+(4×5-2)+8
Step-by-step explanation:
3+(20-2)+8
3+18+8
21+8
29 Ans
, what is the radius of a circle with circumference 37.7 m?
Answer: r≈6
Step-by-step explanation: Using the formula
C=2πr
Solving forr
r=C
2π=37.7
2·π≈6.00014
Answer:
The radius is 6
Step-by-step explanation:
The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius
C=2πr
r=C
2π=37.7
2·π≈6.00014
Hope this helps!
-Jerc
Open GeoGebra, and follow the steps below to create and compare triangles using the side-angle-side criterion.
Question 1
Create a triangle of your choice on the grid. Measure two of the sides on the triangle and the angle between the two sides. Record the measurements in the table.
Answer:
Answers will vary but might resemble this answer based on a triangle called ∆ABC.
Solve for x.
4−(2x+4)=5
A. x=32
B. x=−52
C. x=−10
D. x = 6
x = - 2.5
Step-by-step explanation:Hi there !
4 - (2x + 4) = 5
4 - 2x - 4 = 5
- 2x = 5
2x = - 5
x = - 5 : 2
x = - 2.5
Good luck !
{8} ⊆ {7,8,9} true or false
the answer is false
.....................................
Answer:
Homework #1-18: Answer yes or no, if no give the reason
1) Is A ⊆ B given A = silver, B = {gold, silver, diamond}
A is not a set, so it can’t be a proper subset.
Answer: no, because A is not a set
3) Is C ⊆ D given C = {Phoenix}, D = {Phoenix, Glendale, Peoria, Scottsdale}
I need two rules to work.
C is a set so rule 1 is satisfied.
Every element of C is also an element of D, so rule 2 is satisfied.
Answer: yes
5) Is A ⊆ B given A = {2,3} , B = {1,2,3,4,5}
I need two rules to work.
A is a set so rule 1 is satisfied.
Every element of A is also an element of B, so rule 2 is satisfied.
Answer: yes
7) Is A ⊆ B given A = a, B = {| }
A is not a set, so it can’t be a proper subset.
Answer: no, because A is not a set
9) Is A ⊆ B given A = { }, B = {1,2,3,4,5}
Answer yes: the empty set is a subset of every set.
11) Is S ⊂ T given, S= ∅, T = {1,2,3,4,5}
Answer yes: the empty set is a subset of every set.
13) Is A ⊂ B given A = {1,2,3}, B = {3,2,1}
This is not a true statement. The sets are equal and this symbol does not allow sets to be equal.
Answer: no, sets are equal
15) Is C ⊂ D given C = {1,2,3,4,5}, D = {1,2,3,4}
Answer: no, C is not contained in D, so this is not true
17) Is A ⊂ B given A = {4,3,2,1 }, B = {1,2,3,4,5}
A is a set so rule 1 is satisfied,
A is contained in B so rule 2 is satisfied
A is not equal to B so rule 3 is satisfied
Answer: yes (all 3 rules are satisfied)
Homework #19 – 34: Determine which of these are true. (Choose every answer that is true, in
many instances there will be more than one correct choice.)
A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or none of these
19) A = {Trix, Captain Crunch, Rice Krispees} B = {Rice Krispees}
B is contained, but not equal to A. B is both a subset and a proper subset of A.
A is not contained in B
The sets are not equal.
Answer: B ⊆ A, B ⊂ A
Step-by-step explanation:
here all of it
.
During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibels?
Answer:qsq
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer to this is 1 or 7:
To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.
Next, we subtract 50 from both sides of the equation.
Next, we divide both sides of the equation by 10
Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.
Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x
Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x
Therefore, x, the number of measures of music played, must be either 1 or 7.
1) The standard form of a linear equation is written as .
ax + by=c
a. Write the equation in slope-intercept form( y= mx + b)
b. Write the slope, y-intercept form of (a).
PLS HELP
Answer:
[tex]\displaystyle y=-\frac{a}{b}x+\frac{c}{b}[/tex]
Step-by-step explanation:
The equation of the line, expressed in slope-intercept form is:
[tex]y=mx+y_o[/tex]
Where m the slope and yo the y-intercept.
Since we are given the line in standard form:
ax+by=c
To find the slope-intercept form, we just solve it for y:
[tex]\boxed{\displaystyle y=-\frac{a}{b}x+\frac{c}{b}}[/tex]
Comparing the last equation with the slope-intercept form:
[tex]\displaystyle m=-\frac{a}{b}[/tex]
[tex]\displaystyle y_o=\frac{c}{b}[/tex]
Answer:
ax + by = c
-ax -ax
by=ax+c
then dived both sides by b to get y by itself
y= a/bx +c
Step-by-step explanation:
A number x is twice its reciprocal. What is x^6?
Answer:
8
Step-by-step explanation:
x = 2/x <=== It must be: x ≠ 0. Solve for x. Multiply both sides by x.
x^2 = 2.
Hence:
x = ±√2.
Both -√2 and √2 give 8 when they are raised to the power of 6.
(-√2)^6 = (√2)^6 = 8.
The value of the given expression [tex]x^6[/tex] is 8 and this can be determined by using the arithmetic operations.
Given :
A number x is twice its reciprocal.
The following steps can be used in order to determine the value of [tex]x^6[/tex]:
Step 1 - The arithmetic operations can be used in order to determine the value of [tex]x^6[/tex].
Step 2 - The mathematical expression of the given statement "A number x is twice its reciprocal" is:
[tex]x = \dfrac{2}{x}[/tex]
Step 3 - Simplify the above expression in order to determine the value of 'x'.
[tex]x = \pm\sqrt{2}[/tex]
Step 4 - Now, substitute the value of 'x' in the given expression.
[tex]x^6= (\sqrt{2} )^6\\x^6 = 8[/tex]
So, the value of the given expression [tex]x^6[/tex] is 8.
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ce is the angle bisector of dcb and m
Answer:
We are given that ray CE is an angle bisector of angle ACD. With this, we have the equation,
mACE = mECD
Next, we look at the choices
mECD = mECB > This not possible since ray CD is between the two angles
mACE = mACD > This is still not possible since ray CE is between the two angles
mACE = mDCB > This is possible since angles ACE, ECD and DCB are complementary angles.
mECD = mACD > This is not possible since ray CE is between the two rays
The answer is the third option
Step-by-step explanation:
Jin’s soccer team has 4 coaches and 22 players, and his twin sister’s team has 2 coaches and 11 players. If the relationship between the number of players and coaches is proportional throughout the league, which ordered pair could represent the total number of coaches and players in the entire league?
x
y
2
11
4
22
24 coaches and 120 players
26 coaches and 143 players
28 coaches and 168 players
30 coaches and 180 players
Answer:
B :
26 coaches and 143 players
Step-by-step explanation:
Answer:
26 coaches and 143 players
Step-by-step explanation:
we can set up a proportion: [tex]\frac{coaches}{players}[/tex]
Our original proportions, 4/22 and 2/11 simplify to 2/11
We basically need a proportion that simplifies to 2/11, So let's simplify each proportion
24 coaches and 120 players: 24/120 simplified ⇒ 1/5
26 coaches and 143 players: 26/143 simplified ⇒ 2/11
28 coaches and 168 players: 28/168 simplified ⇒ 1/6
30 coaches and 180 players: 30/180 simplified ⇒ 1/6
The porportion, 26 coaches and 143 players simplifies to our orginal
proportion, 2/11, therefore it is proportional
Solve the equation.
7x - 2 = 10x + x + 6x
Answer:
x=-2 or x=5
Step-by-step explanation:
trust.
WILL MARK YOU BRAINLIEST!!!!!
Answer:
m <6 would also be 112
Step-by-step explanation:
A theater company charges $5.50 per ticket for people of all age groups. If c represents the total number of children who brought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answer:
[tex]5.50c+5.50a[/tex]
Step-by-step explanation:
Cost of 1 ticket = $5.50
Total number of children who brought tickets = c
Total number of adults who bought tickets = a
Amount earned from selling tickets to children = 5.50 c
Amount earned from selling tickets to adults = 5.50 a
Therefore,
Total money earned by the company from the sale of tickets = [tex]5.50c+5.50a[/tex]