Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is
positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of
water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same
amount of water as the small tank. Which statement describes the flow rate?
The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is -10 gal/min.
O The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.
The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is -20 gal/min.
The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.
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Answer:
D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.
Step-by-step explanation:
Flow rate = [tex]\frac{gallons of water}{minute}[/tex]
flow rate of water in the big tank = [tex]\frac{300}{5}[/tex]
= 60 gallons/minute
flow rate in the smaller tank = [tex]\frac{200}{5}[/tex]
= 40 gallons/minute
The difference in flow rate between the tanks = 60 - 40
= 20 gallons/minute
Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.
Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.
Answer:
B
Step-by-step explanation:
took the quiz
Greatest common factor of 36
Answer:
1,2,3,4,6,9,12,18, 36
Step-by-step explanation:
18 is the GCF of 36.
You can't multiply any other number with its 2 to be 36.
So 18 x 2 =36
-2[(-19 + - 5) + (3 - 7)] + -2 [(-12 - 2) -(4 - 6)]
Answer:
I got 80
Step-by-step explanation:
HELP EASY ASAP MULTIPLE CHOICE
Answer:
It's the first one 18/3 =6
Step-by-step explanation:
This is the only answer that has all integers or whole numbers. Hope this helps!
Answer:
Its the fisrt one cause its the only one with a whole number.
Step-by-step explanation:
Calculate the UCL and LCL for a mean chart. Assume the standard deviation is unknown. Round to 1 decimal.
Answer and explanation:
Please find answer and explanation attached
(2y -2) divided by x for x=2 and y=5
Answer:
= 4
Step-by-step explanation:
(2y-2)/x
Insert 2 and 5 in their respective places:
(2(5)-2)/2
Multiply from left to right:
(10-2)/2
Subtract from left to right:
8/2
Divide and simplify:
= 4
Please help...
Solve using the method of your choice:
[tex]2 {x}^{2} + 3x - 2 = 0[/tex]
Answer:
x=½, -2
x= 0.5, -2
possibly im not perfect
Helppppppp lol idk what I’m doing
Answer:
C
Step-by-step explanation:
Step 1: Translate word to math
"Five" = 5
"times" means multiplication
"a number" = n
"plus" means addition
"3" = 3
"is" means equal
"12" = 12
Step 2: Set up equation (combine)
5n + 3 = 12
Answer:
C
Step-by-step explanation:
a number represents n
is represents =
times represents multiplication
plus represents addition
5 times n plus 3 is 12
so this means
5n+3=12
63.9 x 7.0
Help plz
Answer:
447.3
Step-by-step explanation:
Answer:
447.3
Step-by-step explanation:
63.9
x 7.0
_____
447.3
Jonathan bought a new car in November that cost $23,000. The value of the car decreases by 15% each year. What will the value of the car be in five years? *Give the exact value~nearest penny
Answer:
$5750
Step-by-step explanation:
To find what 15% is in money, we do
23,000*15/100=3450 for one year
3450*5(for five years)=$17,250
Now subtract that
23,000-17,250=$5750
Shelly's pet food store sold one costumer 5 peanut butter biscuits for $3. She sold another costumer 7 beef treats for $4.20.
What does h(40) = 1700 mean in terms of the problem?
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
Answer:
40 hours of training=h(40)
Monthly Pay=1700
Step-by-step explanation:
For 40 hours of training, you will receive $1700 for the month.
help please will mark brainliest
Answer:
step 2
Step-by-step explanation:
sorry if im wrong. Please mark me brainleast
in the figure below, C is between A and D, and B is the midpoint of AC. If BD=8 and BC=6, find AD.
Answer:
AD = 14
Step-by-step explanation:
BC = 6
BD = 8
CD = BD - BC
CD = 8 - 6
CD = 2
Since B is the midpoint of AC, therefore:
AC = 2*BC
AC = 2*6
AC = 12
Thus:
AD = AC + CD
AD = 12 + 2
AD = 14
If necessary, combine like terms. (5x+1)(5x-1)
Answer:2 5x^2-1
Step-by-step explanation:
0 2. What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?
Answer:
Area=91 ft^2
Step-by-step explanation:
Area=length*width
Area= 14*6.5
Area=91 ft^2
Answer:
91 sq. ft.
Step-by-step explanation:
Translate the following statement into an inequality. Use x as the variable.
A girl could spend at most $23 on a gift.
Choose the correct answer below.
A x < 23
B X323
C X>23
D x >223
-
Select all the expressions that have a value of –8. A –2 + 6 B –4 + (–4) C 6 + (–14) D 11 + (–3) E 5 + 3
Answer:
B and C
Step-by-step explanation:
the answer is B and C because
on the basis of option A
-2+6=4 (not equal to -8)
on the basis of option B
-4+-4 =-4-4=-8 (=-8)
on the basis of option C
6+-14=6-14=-8 (=-8)
on the basis of option D
11-3 =8 (not equal to -8)
on the basis of option E
5+3=8 (not equal to -8)
HOPE YOU HAVE UNDERSTOOD
Solve for x. -2x-4>8
Answer:
x<-6
Step-by-step explanation:
-2x-4>8
(move the constant to the right)
-2x > 8+ 4
(calculate)
-2x>12
(divide both sides)
x<-6
(your answer)
2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?
Answer:
33.1 units
Step-by-step explanation:
The formula to find the sides of an shape when given vertices is
= √(x2 - x1)² + (y2 - y1)²
When we have:(x1, y1) and (x2, y2)
(-3, 1), (5, 1), (-3, 4), (5, 4)
For (-3, 1), (5, 1)
= √(5 - (-3))² + (1 -1)²
= √8² + 0²
= √64
= 8 units
For (5, 1), (-3, 4)
= √(-3 - 5)² + (4 - 1)²
= √-8² + 3²
= √64 + 9
= √73 units
For (-3, 4), (5, 4)
= √(5 - (-3))² + (4 - 4)²
= √8² + 0²
= √64
= 8 units
For (-3, 1), (5, 4)
= √(-3 - 5)² + (4- 1)²
= √8² + 3²
= √64 + 9
= √ 73 units
Perimeter of the Polygon:
=( 8 + √73 + 8 + √73) units
= 33.088007491 units
≈ 33.1 units
Which of the following is the equivalent to the ratio 5:37
A 10:8
B 20:15
15:9
D 4:2
Answer:
Step-by-step explanation:
U would 22999+122.3939ading j. Till u wil go to the bathroom
It snowed 68.5 cm in one day. How much did it snow in meters?
Answer: 0.685 meters
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 meter = 100 cm
x = 68.5
Cross multiply
68.5 * 1 = 100 * x
Divide by 100
68.5/100 = x
x = 0.68.5
Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation
Answer: 1) 500, 000
2) Five hundred thousand
3) [tex]5\times10^5[/tex]
Step-by-step explanation:
To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )
5 of 100, 000 = 5 x 100, 000 = 500, 000
In word - Five hundred thousand [ as place value of 5 = hundred thousand]
In scientific notation, [tex]500, 000=5\times10^5[/tex]
Hence, the required expressions:
1) 500, 000
2) Five hundred thousand
3) [tex]5\times10^5[/tex]
2 divided by 7/6 in simplest form
CAN YOU HELP ME PLEASE
Answer:
just doing this for the gram
Step-by-step explanation:
say hi
(25+,-,* 4) +,-,*3 +,-,*7=9
Translate the sentence into an equation. The sum of 2 times a number and 5 is 8.
Answer:8=2xn+5
Step-by-step explanation:X is times
n is variable
Help Please! :(
108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.
Answer:
81
Step-by-step explanation:
An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air
9514 1404 393
Answer:
170 mph
Step-by-step explanation:
The speed of the airplane can be represented by s. The travel time will be ...
time = distance/speed
925/(s +15) = 775/(s -15)
925(s -15) = 775(s +15)
150s = 25500 . . . . . . . . . add 13875-775s
s = 170
The rate of the plane in still air is 170 mph.
On a sunny day, a streetlight that is 9 m
high casts a shadow that is 6 m long. At the
same time, a fence post casts a shadow that
is 2 m long. How tall is the fence post?
The fence post is 3m tall
Set up proportion 9/6 =2/x
You get
18=6x
Divide by 6
3=x
Boom
If this helped please mark branliest