Answer: approximately 4.7368 minutes
This decimal value is the result of computing 90/19
=====================================================
Explanation:
Let's find the LCM of 6, 9 and 15. First, list out the prime factorization of each value.
6 = 2*39 = 3*315 = 3*5The unique prime factors are 2, 3, and 5. We have 2 show up at most once, 3 show up at most twice, and 5 show up at most once. The LCM is 2^1*3^2*5^1 = 2*9*5 = 18*5 = 90.
We'll use this LCM value to set up an example below.
---------------
Consider the tank to be 90 gallons. If we only use tap A, keep tap B closed, and don't open pipe C, then tap A fills the tank at a rate of 90/6 = 15 gallons per minute since it needs 6 minutes to completely fill the tank.
If we have tap B do all the work (keep tap A and pipe C closed), then the rate is 90/9 = 10 gallons per minute for this tap.
Keeping pipe C closed, the two taps A and B work together to have a combined rate of 15+10 = 25 gallons per minute.
Now we consider pipe C being opened. This drains the tank and can do so in 15 minutes (assume the taps A and B aren't open). If we're dealing with a full 90 gallon tank, then its rate is 90/15 = 6 gallons per minute.
The net rate is 25-6 = 19 gallons per minute. We can think of it as a tug of war where the taps A and B ultimately win out despite the fact that pipe C is draining the water. The two taps fill the tank faster than the pipe can drain the tank.
In other words, the tank ultimately gets filled up rather than drained out over the long run. That net speed is at 19 gallons per minute.
The amount of time needed is approximately 90/19 = 4.7368 minutes.
Side note: you can start with any size tank. It doesn't have to be 90 gallons. I picked on this value because it works cleanly with the original given numbers 6, 9 and 15.
Answer:
[tex]x=\frac{90}{19}[/tex] = 4.73 minutes
[tex]\frac{1}{6}x +\frac{1}{9}x - \frac{1}{15} x = 1[/tex]
[tex]\frac{135}{810}x +\frac{90 }{810}x - \frac{54}{810} x = 1[/tex]
[tex]\frac{171}{810}x = 1[/tex]
x = 4.73 minutes
Step-by-step explanation:
Sierra was swimming 50 yards in a race.
When she was ten seconds in the race,
she already swam 60% of the race. How
many yards has she swam?
Answer:
30 yards
Step-by-step explanation:
50 x .60 = 30 yards
11. The rectangle has a width of 8 in, a length of x-5 in, and an area of 16 in). Solve for x.
Hint: label the figure.
x-sin
sin
Use the area of rectangle formula which is:
[tex] \displaystyle \large \tt{A = width \times length}[/tex]
Given that:
area of rectangle = 16width = 8length = x-5Substitute in the formula:
[tex] \displaystyle \large{16 = 8 \times (x - 5)} \\ \displaystyle \large{16 = 8(x - 5)}[/tex]
Distribute 8 in the expression:
[tex] \displaystyle \large{16 = (8 \times x) + (8 \times ( - 5))} \\ \displaystyle \large{16 = 8x - 40}[/tex]
Move -40 to another side and change from -40 to 40.
[tex] \displaystyle \large{16 + 40 = 8x} \\ \displaystyle \large{56= 8x} \\ [/tex]
Then move 8 to divide 56, leaving only x.
[tex] \displaystyle \large{ \frac{56}{8} = x} \\ \displaystyle \large{7 = x} \\ [/tex]
Hence, the answer is:
[tex] \displaystyle \large \boxed{x = 7} \\ [/tex]
A steel ball has a volume of 1500 cm.
The density of the ball is 95 g/cm'.
Find the mass of the ball in kg.
Answer:
m=15.78
Step-by-step explanation:
density = volume / mass
subtitute values:
95= 1500/ mass
mass = 1500/95
m= 15.78
10- 3/4z = 8
Somebody, please help me! I don't get this!
Answer:
z = 8/3
Step-by-step explanation:
10- 3/4z = 8
Subtract 10 from each side
10-10- 3/4z = 8-10
-3/4z = -2
Multiply each side by -4/3
-3/4z * -4/3 = -2 *4/3
z = 8/3
Find the least common multiple (LCM) of 9 and 12.
O A. 36
O B. 24
O c. 3
O D. 18
Answer:
option A is the correct answer.
Help pls i would realy appreciate it.
Answer:
Bot #10 will click more times in `10` seconds than Bot #9.
Step-by-step explanation:
Already did this last year
hope this helps
Answer:
bot - 10 make more clicks according to me.
2. Taj works as a hydrologist for the federal government. He earns an annual salary of $82,900. In addition, he earns a bonus equal to 6% of his annual salary, which is $4,974. What is Taj's annual gross pay? Your answer
Step-by-step explanation:
Please marks me as brainliests..please for my effort...and follow me...Solve for p.
−160=22+8(3p−4)
Answer:
[tex]p=-6.25[/tex] or [tex]p=\displaystyle-\frac{25}{4}[/tex]
Step-by-step explanation:
[tex]-160=22+8(3p-4)[/tex]
Our goal here is to isolate p on one side of the equation. We will do this by performing inverse operations on both sides.
Subtract 22 from both sides:
[tex]-160-22=22+8(3p-4)-22\\-182=8(3p-4)[/tex]
Divide both sides by 8:
[tex]-22.75=3p-4[/tex]
Add 4 to both sides:
[tex]-22.75+4=3p-4+4\\-18.75=3p[/tex]
Divide both sides by 3:
[tex]-6.25=p[/tex]
You can also convert this into a fraction:
[tex]p=\displaystyle-\frac{25}{4}[/tex]
I hope this helps!
What is the equation of the line that passes through the point (6,3) and has a slope
of -1/3?
Answer:
y = - [tex]\frac{1}{3}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{3}[/tex] , then
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (6, 3 ) into the partial equation
3 = - 2 + c ⇒ c = 3 + 2 = 5
y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line
subsitute 9x-2y=14 7x+3y=20
Answer:
hope it helps you..........
All of the following are rational numbers except____.
Answer:
3.14159
Explanation:
pi is irrational
Hope this helps!! <3
Find the length of [tex]30kx^{2} +6kx^{2}[/tex]
Answer:0
Step-by-step explanation:
let k=1 and x= 0
30 * 1 *0 + 6 * 1 * 0
0 ANs
2.)Name the number system in which only the whole number less than 5 are used:
Answer:
(a) x = 40°
Step-by-step explanation:
(2x+43)°+(2x-3)°=180°
4x+40°=180°
x=40°
A line passes through (2, −1) and (4, 5).
Answer:
The Equation of the Line that Passes through the Points (2, −1) and (4, 5) is 3x - y - 7 = 0.
Hope it helps you.Type the correct answer in each box. Use numerals instead of words.
A theater sold 465 tickets for the morning show and 576 tickets for the evening show. The theater makes $16 for each ticket sold. How much money did the theater make selling tickets for the morning show?
Answer:
the total money they get by the morning show is 2790$
Justifying Graphs
Circle the correct graph that represents the story. Explain why the other graphs are incorrect. Would be nice if helped
Answer:
the correct answer is b in case of number 1
35 POINTS
Hi I need help with this problem please
Solve the combined inequality.
Items in a store range from $1.85 to $12.83 including tax.
What range of values describes the total purchase price for 5 items?
Enter your answer by filling in the boxes.
≤x≤
Answer:
9.25≤x≤64.15
Step-by-step explanation:
The smallest amount would be 5 of the least priced item
5 * 1.85 =9.25
The largest amount would be 5 of the greatest priced item
5 * 12.83 =64.15
9.25≤x≤64.15
Each time Benji plays his Colour Tokens
favourite computer game
red 12
he earns one token. The
blue
table shows the tokens
green
34
he has earnt so far.
What is the relative frequency of red?
14
c.it
Find the area of a triangle with legs that are: 9 mm, 6 mm, and 12 mm.
A. 26.1 mm
B. 12.3 mm
C. 11.6 mm
D. 37 mm?
Answer:
Step-by-step explanation:
a = 9 mm ; b = 6 mm ; c = 12 mm
S = (a + b +c) / 2
[tex]= \dfrac{9 + 6 + 12}{2}\\\\= \dfrac{27}{2}\\\\= 13.5 \ mm[/tex]
S - a = 13.5 - 9 = 4.5 mm
s -b = 13.5 - 6 = 7.5 mm
s -c = 13.5 - 12 = 1.5 mm
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]= \sqrt{13.5 * 4.5 * 7.5 * 1.5} \\\\= \sqrt{683.4375} \\\\=26.1 \ mm^{2}[/tex]
expressions by combining terms.
Simplify the
1. -2(x 3) + 4x
2. 4x - 3+ 6 + 7 – 10x
3. (6a + 3x - (4a - 7x)
4. (15x – 3y) + (-12x - y)
Step-by-step explanation:
hope you understand I've shown the process in the picture.
JC is making a poster for Bike Safety Week. The diameter of circle A is 16 in.
If the area of circle B is of the area of circle A, what is the area of circle B? Use = 3.14.
Answer:
Circle B has an area of 200.96 in².
Step-by-step explanation:
π = 3.14
radius of circle A = diameter of circle A/2
= 16 in/ 2 = 8 in.
Area = πr² = (3.14)(8²)
= (3.14)(64)
= 200.96 in²
Help me on this please please
Find the value of x
Picture shown!
Is the answer C or D? Please explain as well so I can understand
Answer:
c
Step-by-step explanation:
i think it's correct and helping you
HELP PLEASE!! VERY MUCH APPRECIATED!!
find an equation for the graph of the set of points whose distances from (6,0) and (-6,0) always add up to 20 (ellipse equation)
Answer:
1.3445367773335334434333233332
i will give brainliest to correct answer
-2^6(-5x+10)=100 solve for x
Answer:
x = [tex]\frac{37}{16}[/tex]
Step-by-step explanation:
I did this before
3(x - 5) = 30
I dont know how to solve this
Answer:
x=15
Step-by-step explanation:
3(x-5)=30
First, you would distribute the three to the x and the negative five.
3x-15=30
Then you would add 15 to the 15 to cancel it and to the 30 to make it even.
3x-15=30
+15=+15=
3x=45
Finally, you would divide 3 into both sides, cancelling out the three and fiving you,
x=15
Hope this helped!
Start by distributing the 3 through the parenthses on the left side.
This gives us 3x - 15 = 30.
Now add 15 to both sides to end up with 3x = 45.
Dividing both sides by 3, we fin that x = 15.
Your fitness tracker says you ran 2,640 yards on your most recent run. How many miles is that?
Answer:
1.5 miles.
Step-by-step explanation:
You can figure it out by dividing the yards by 1760.
Answer:
1.5 miles
Step-by-step explanation:
A mile is 1760 yards
2640 yds * 1 mil/1760 yds = 2640/1760 = 1.5 miles
What is the area of this figure?
4 m
3 m
2 m
3 m
2 m
9 m
6 m
5 m
Write your answer using decimals, if necessary.
square meters
Answer:
63
Step-by-step explanation:
Area = large rectangle + small rectangle + triangle
A = (L1 * W1) + (L2 * W2) + 1/2 base * heigth)
A = (9 * 5) + (2 * 3) + 1/2(((2 + 5 + 2) - (3)) * 4))
A = 45 + 6 + 1/2((9 - 3) * 4)
A = 51 + 1/2(6 * 4)
A = 51 + 1/2(24) = 51 + 12 = 63
Anybody good in math and wanna help me on #1 or 2?
Answer:
#1 all real numbers except 0 and 3
#2 the first option