Answer:
It would take them 6 hours to fill an empty tank.
Step-by-step explanation:
Add the amount of time it takes Pipe A and Pipe B to fill an empty tank together (5 + 7) and then divide your sum by two. You should get 12 / 2 = 6.
Hope This Helps!
Help :C Two cities are 45 miles apart. Two trains, traveling at speeds of 70 mph and 60 mph, leave the two cities at the same time and travel in the same direction so that the faster train will catch up to the other one. How long after the trains leave will the distance between them be 10 miles? How long after the trans leave will they be 10 miles apart for the first time? Help :(
=======================================================
Explanation:
Draw a horizontal number line. Plot point A at 0 and point B at 45 on the number line. The distance from A to B is 45 units to represent that 45 mile gap between the cities.
Let's say the trains travel to the right (aka to the east) along this number line train track. We'll place the faster train at location A, and the slower train at location B. This allows the slower train a head start. Eventually the faster train will catch up. If this was swapped and the trains still aimed to the right, then the trains will never be 10 miles apart.
-----------------------
Now we'll define two variables
x = number of hours that have elapsedy = the train's location on the number lineFor the faster train at location A, which I'll just refer to "train A" from now on, we can form the equation y = 70x. I'm using the idea that distance = rate*time to help form this equation.
For example, if x = 2 hours have passed by, then train A is at location y = 70*2 = 140 miles on the number line train track.
Train B will have the equation y = 60x+45. The 60x is formed in a similar manner compared to the 70x. The plus 45 at the end is due to the 45 mile head start. In other words, train B travels 60x miles on top of the 45 miles already done so far.
-----------------------
The two key takeaways from that last section is that we have these equations
y = 70xy = 60x+45which correspond to the locations of train A and train B in that order.
Now to the question at hand: how can we determine when the trains are 10 miles apart? The short answer is through subtraction. Moreover, we'll need to involve absolute value to ensure that distance is never negative.
So the distance expression between the trains at any given time x is:
distance between trains = |trainA - trainB|
distance = |70x - (60x+45)|
distance = |70x-60x-45|
distance = |10x-45|
Next, we set that distance expression equal to 10 and solve for x.
distance = 10 miles
|10x-45| = 10
10x-45 = 10 or 10x-45 = -10
10x = 10+45 or 10x = -10+45
10x = 55 or 10x = 35
x = 55/10 or x = 35/10
x = 5.5 or x = 3.5
-----------------------
Those two results mean that at the hour marks of 3.5 hours and 5.5 hours is when the two trains are 10 miles apart exactly.
The two trains start off being 45 miles apart. They both take off and train A will catch up to train B. Their gap will be 10 miles at the 3.5 hour mark. That gap shrinks to 0 at some point, and then grows again afterward. By the 5.5 hour mark is when the trains are again 10 miles apart. This time is when train A is in the lead and will remain so assuming the speeds stay the same.
It seems like your teacher is only concerned with when the trains are 10 miles apart for the first time and not the second. So your teacher is likely only expecting one answer and that would be 3.5 hours
Side notes:
3.5 hours = 3 hours, 30 minutes = 210 minutes.5.5 hours = 5 hours, 30 minutes = 330 minutes.Multiply by 60 to convert from hours only to minutes only.Perform the indicated operation. Be sure the answer is reduced.
x+1/x-8 - x/8-x =
Answer:
the second option
Step-by-step explanation:
Please help 40 points! Picture attached below
We know that diagonal of a square is equal to the diameter of circle
So, Given side of a square = 4 cmwe know diagonal of sqaure = √2 × side = 4 × √2 = 4√2 cm.So, diameter of circle = 4√2 cm.Hence, the required answer is = 4√2 cm.
Ann Dawson spends one week collecting orders. If 32 people purchase plants totaling $222.22,
what is the average amount of Ann Dawson's sale?
Answer:
7,111.04
Step-by-step explanation:
222.22x32= 7,111.04
Estimate the force needed for a 2.5 kg mass.
Answer:
F=ma
We need an acceleration to calculate a force. For now, we can only say that F = 2.5kg*a
Step-by-step explanation:
Mass alone tells us nothing about any forces on the object. 2.5kg is the same whether in space or next to a black hole. The forces would be quite different, however.
PLEASE HELP!! Please answer
Answer:
O x = 75, y = 68 (second option)
Step-by-step explanation:
74° = (x - 1)°
x - 1 = 74
x = 74 + 1
x = 75
40° + (y - 2)° + 74° = 180°
y - 2 = 180 - 40 - 74
y - 2 = 66
y = 66 + 2
y = 68
Answer:
Refer to the attachment
HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS
Answer:
I'm pretty sure it's a, 2b - b
Step-by-step explanation:
Domain & Range for 565 mph
Factor the expression.
-5m4 – 17m
Answer:
( m − 2 )( 4 m − 9 )
Step-by-step explanation:
Convert 3 miles to feet. A. 15,840 feet B. 1,584 feet C. 3,279 feet D. 9,372 feet
Answer:
A. 15,840 feet
Step-by-step explanation:
1 mile = 5,280 feet (I think "five tomatoes" is helpful: five tomatoes --> five-two-eight-oh)
multiply both sides of equation by 3: 1 * 3 = 5,280 * 3
simplify: 3 miles = 15,840 feet, which means A is the answer
the answer is 13 if you subtract them, the answer is 3 one of the two numbers is
Answer:
16
or
-10
Step-by-step explanation:
x-3=13
or
3-x=13
Determina il vertice D del parallelogramma ABCD, sapendo che A(3;-1), B(2;3) e C(-2;0) sono suoi tre vertici consecutivi.
The length of a rectangle is three times the width. A new
rectangle is created by decreasing the length of the original rectangle by 9 feet
and increasing its width by 4 feet. The area of the new rectangle is the same as
the area of the original rectangle. What is the perimeter of the new rectangle?
Hold on, our servers are swamped. Wait for your answer to fully load.
In the given figure, find the value of x?
60 + 3x = 180 ( linear pair)
3x = 180 - 60
3x = 60
x = 60/3
x = 20
- BRAINLIEST answerer ❤️✌
Answer:
40°
Step-by-step explanation:
As per the provided information in the given question, we have :
∠AOC = 60°∠BOC = 3xAB is a straight line.We've been asked to calculate the measure of ∠BOC.
Here, ∠AOC and ∠BOC are making linear pair of angles.
[tex]\odot [/tex] Linear pair : Linear pair of angles are nothing but the two adjacent angles of which non-common arms are two opposite rays. Now, as these both angles are making linear pair so,
[tex] \longrightarrow \sf{\quad { \angle AOC + \angle BOC = 180^\circ }} \\ [/tex]
Substitute the measure of ∠AOC and the expression of ∠BOC.
[tex] \longrightarrow \sf{\quad { 60^\circ+ 3x = 180^\circ }} \\ [/tex]
Transposing the like terms.
[tex] \longrightarrow \sf{\quad {3x= 180^\circ -60^\circ }} \\ [/tex]
Performing subtraction of the terms in RHS.
[tex] \longrightarrow \sf{\quad {3x= 120^\circ }} \\ [/tex]
Now, transpose 3 from LHS to RHS, its arithmetic operator will get changed.
[tex] \longrightarrow \sf{\quad {x= \cancel{\dfrac{120^\circ}{3}} }} \\ [/tex]
Dividing 120° by 3.
[tex] \longrightarrow \quad\underline {\boxed{ \textbf{\textsf{ x= 40}}^\circ }} \\ [/tex]
∴ The value of x is 40°.
[tex] \underline{ \qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad} \\ [/tex]
Learn More :○ Measure of straight angle = 180°
○ If a ray stands on a line then the sum of the adjacent angles so formed is 180°.
○ The sum of the angles of a linear pair is 180°.
[tex] \setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){$\underline{\boxed{\large\sf a + b = 180^{\circ}}$}}\put(4.5,1.3){$\sf a^{\circ}$}\put(5.7,1.3){$\sf b^{\circ}$}\end{picture}[/tex]
HELP ME PLEASE!!
An electronic repair shop offers three types of service: on-site, at-store, and by-mail. On-site service costs 3 times as much as at-store service. By mail service costs $10 less than at-store
service. Last week, the shop completed 15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100.
Complete ALL parts. SHOW ALL WORK FOR FULL CREDIT
Part A : Define variables for each service. (1 point)
Part B
Write a systems of equations for the services. (3 points)
Part : Determine the cost of one on-site repair service. SHOW ALL WORK! (3 points)
Using a system of equation, we have that:
a)
x, which is the cost of on-site service.y, which is the cost of at-store service.z, which is the cost of by-mail service.b)
The system is:
[tex]x = 3y[/tex]
[tex]z = y - 10[/tex]
[tex]15x + 40y + 5z = 3100[/tex]
c)
The cost of one on-site repair service is of $90.
Item a:
The variables are:
x, which is the cost of on-site service.y, which is the cost of at-store service.z, which is the cost of by-mail service.Item b:
On-site service costs 3 times as much as at-store service, thus:
[tex]x = 3y[/tex]
By mail service costs $10 less than at-store service, thus:
[tex]z = y - 10[/tex]
Last week, the shop completed 15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100, thus:
[tex]15x + 40y + 5z = 3100[/tex]
The system is:
[tex]x = 3y[/tex]
[tex]z = y - 10[/tex]
[tex]15x + 40y + 5z = 3100[/tex]
Item c:
The cost of one on-site repair service is x.First, replacing the first two equations into the third, we find y, and then with it we find x.[tex]15x + 40y + 5z = 3100[/tex]
[tex]15(4y) + 40y + 5(y - 10) = 3100[/tex]
[tex]60y + 40y + 5y = 3150[/tex]
[tex]105y = 3150[/tex]
[tex]y = \frac{3150}{105}[/tex]
[tex]y = 30[/tex]
Then
[tex]x = 3y = 3(30) = 90[/tex]
The cost of one on-site repair service is of $90.
A similar problem is given at https://brainly.com/question/24823220
10.0 x 0.01
----------------- =
0.01 x 0.01
10.0 x 0.01 0 . 1
----------------- = -------------
0.01 x 0.01 0 . 0001
How to check 20p+15=35p+30？ really need help help
Answer:
p= -1.5 ( i dont know if this is what you were asking but)
Step-by-step explanation:
20p+15=35p+30
-15 -15
20p=35p+15
-35p -35p
-10p=15
/-10 /-10
p= -1.5
What is I don’t know what is 82928 x 27272
Answer:
2261612416
Comment if you need help with this still
A number, truncated to 1 decimal place, is equal to .
Write down the lower and upper bounds of the number.
A number, truncated to 1 decimal place, is equal to 15.4
Write down the lower and upper bounds of the number.
Answer:
Step-by-step explanation:
truncated means when its rounded up from the lower bound and upper bounds meaning lower bound=15.4 and upper bound=15.5
The lower and upper bounds of the number are 15.4 and 15.5 respectively.
Given data:
When a number is truncated to 1 decimal place, it means that only the first decimal digit is considered, and the rest of the decimal places are discarded. In this case, the number truncated to 1 decimal place is 15.4.
The lower bound of the number is the largest number that rounds down to 15.4 when truncated to 1 decimal place. Since 15.4 is already rounded down, the lower bound is simply 15.4.
The upper bound of the number is the smallest number that rounds up to 15.4 when truncated to 1 decimal place. The next number that rounds up to 15.4 is 15.5.
Hence, the lower bound is 15.4 and the upper bound is 15.5.
To learn more about truncation of a number, refer:
https://brainly.com/question/29980617
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What is 45÷38 ?
215
83
2
2215
ill give brainliest
Plzzz Help!!! I really need it
Answer:
x = 16
y = 140
Step-by-step explanation:
Since angles on a straight line add to 180°,
(8x + 12) + (3x-8) = 180
8x + 3x + 12 - 8 = 180
11x + 4 = 180
11x = 176
x = 16
Due to the Alternate Interior Angles Theorem,
y = 8x + 12
Substituting 'x=16' into 'y=8x+12':
y = 8(16) + 12
= 128 + 12
= 140
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
need solution please help me Thank you
Answer:
X=0
X=-1/5
Step-by-step explanation:
Answer:
{- 1/5; 0}Step-by-step explanation:
15x² + 8x + 1 = 5x + 115x² + 8x - 5x + 1 - 1 = 015x² + 3x = 05x² + x = 0x(5x + 1) = 0x = 0, 5x + 1 = 0 ⇒ 5x = - 1 ⇒ x = -1/5What are the zeros of the function
f(x) = x2 + 7x – 18?
Enter your answers in the boxes.
The zeros of
f(x) a
are ____
and ____
Answer:
-9 and 2
Step-by-step explanation:
If you enter the equation into a graphing calculator, you'll see where the line crosses the X intercepts
a^3+2abc-5c^2
a=3 b=7 c=-3
Answer:
3^3+2(3)(7)(-3)-5(-3)^2=-144
hope this is your required answer
Answer:
-144
Step-by-step explanation:
a³ + 2abc - 5c² = (3)³ + 2(3)(7)(-3) - 5(-3)²
= 3³ + (-126) - 5(-3)²
= 27 + (-126) - 45
= (-99) - 45
= -144
your welcome
Given h(x) = -X – 1, solve for 2 when h(x) = -3.
Answer and Step-by-step explanation:
We are given the function h(x), which is equal to -x - 1.
We are told to solve for x and are given information the h(x) is equal to -3.
First, plug -3 in for h(x).
-3 = -x - 1
Second, add 3 to both sides, then add x to both sides.
-3 +(3 + x) = (-x - 1) +(3 + x)
(The 3's cancel out on the left, leaving the x, the x's cancel out on the right, leaving the -1 + 3, and -1 + 3 equals 2).
x = 2
When h(x) is equal to -3, x is equal to 2.
#teamtrees #PAW (Plant And Water)
I hope this helps!
what is this please help g(x)=−3x−8
Answer:
I think this is what the question is asking:
g=-3-8/x
x==8/3+g
Step-by-step explanation:
A store sells two types of toys, A and B. One unit of toys A yields a profit of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the constraints that represent the situation.
find the value of a and b when x=12
a = 5x (squared) / 2 = 360
b = 2x (squared) * (x-5) / 10x = ?
Step-by-step explanation:
[tex]a = \frac{ 5{x}^{2} }{2} = 360 \\ b = \frac{2 {x}^{2}( x - 5) }{10x} [/tex]
a =
[tex] \frac{5( {12}^{2} )}{2} = 360 = a \\ \frac{5(144)}{2} = 360 = a \\ 5(72) = 360 = a \\ a = 360[/tex]
b =
[tex]b = \frac{2 {x}^{2} (x - 5)}{10x} \\ b = \frac{x(x - 5)}{5 } \\ b = \frac{ {x}^{2} - 5x}{5} \\ b = \frac{ {12}^{2} - 5(12) }{5} \\ b = \frac{144 - 60}{5} \\ b = \frac{84}{5} \\ b = 16.8[/tex]
The required values are a = 360 and b = 16.8 when x = 12.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
The numerical expressions are given as:
a = 5x²/ 2 = 360
b = 2x² × (x-5) / 10x
To find the value of a when x = 12, we can substitute 12 for x in the expression for a:
a = 5(12)² / 2 = 360
To find the value of b when x = 12, we can substitute 12 for x in the expression for b:
b = 2(12)² × (12-5) / 10(12)
= 2(144) × 7 / 120
= 288 × 7 / 120
= 2016 / 120
= 16.8
Therefore, when x = 12, a = 360 and b = 16.8.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
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phineas has 3 times as many baseball cards as ferb.together,they have a total of 228 baseball cards.how many baseball cards does ferb have?
i think its ctuallly76
Free
What is the quotient of 10/5? ITS EASY
Answer:
[tex] \frac{10}{5} = \frac{2 \times 5}{5} = 2 \\ here \: 2 \: is \: quotient \\ answer \: for \: a \: diviision \: is \: quotient \\ thank \: you[/tex]