Answer:
10
Step-by-step explanation:
Change the fraction to a decimal:
2 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5
Multiply:
4 x 2.5 = 10
10 is your answer.
~
A 130 gallon tank initially contains 10 lbs salt dissolved in 60 gallons of water. Brine containing 1 lb salt per gallon begins to flow into the tank at the rate of 3 gal/min and the well-mixed solution is drawn off at the rate of 1 gal/min. How much salt is in the tank when it is about to overflow
Answer:
80 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 60 gallons of water in the tank and water flows in at 3 gal/min. In x minute, the amount of water in the tank = 60 + 3x
Water flows out at 1 gal/min, therefore in x minute the amount of water in the tank = 60 + 3x - x = 60 + 2x
The tank begins to overflow when it is full (has reached 130 gallons). Therefore:
130 = 60 + 2x
2x = 130 - 60
2x = 70
x = 35 minutes.
In 35 minutes the tank would start to overflow.
1 lb salt per gallon flows into the tank at 3 gal/min, in 35 min the amount of salt that entered the tank = 3 gal/min × 35 min × 1 lb/gal = 105 lb
1 lb salt per gallon flows out of the tank at 1 gal/min, in 35 min the amount of salt that flow out of the tank = 1 gal/min × 35 min × 1 lb/gal = 35 lb
Initially there is 10 lb of salt dissloved into 60 gallons of water.
Therefore the amount of salt is in the tank when it is about to overflow = 10 + 105 - 35 = 80 lb of salt.
Which is the equation of the function in the graph?
Answer
B
Step-by-step explanation:
xxxxz
Answer:
D
Step-by-step explanation:
Tell me the correct anser
Answer:
D is the correct answer
Two joggers left Delhi for Noida simultaneously. The first jogger stopped 42 min later when he was 1 km short of Noida and the other one stopped 52 min later when he was 2 km short of Noida. If the first jogger jogged as many kilometers as the second, and the second as kilometers as first, the first one would need 17 min less than the second. Find the distance between Delhi and Noida?
Answer:
15km
hope this helps!
How do you solve 3(2×+5)-(4×_9)
Answer: 3(2×+5)-(4×9) = -15
Step-by-step explanation:
You have 1/8 of a box of erasers and you need to share them with 3 total people, including yourself. What fraction of the box should each person get?
Answer:
each person should get 1/24th or 0.0417
Step-by-step explanation:
In 1988, a certain model of car cost $17000. What would be the cost of that car in 2017 dollars?
Answer:
$66,092.50
Step-by-step explanation:
In 1988, the car cost $17,000
Annual inflation over this period was 3.54% from 1988 to 2017
After adjusted for inflation, $17,000.00 in 1978 is equal to $66,092.50 in 2017
Therefore, the cost of that car in 2017 is closest to $66,092.50
Find a formula for the general term
an (not the partial sum) of each infinite series (with starting point of n = 1.)
4/12+1+1/22+1+4/32+1+1/42+1+................
Answer and Explanation:
Solution: For the general term of each infinite series,
n=1 and the series are:
4/12+1+1/22+1+4/32+1+1/42+1+……..
Let [4/12 +1] + [1/22 + 1] + [4/32+1] + [1/42+1] +………
Sum of infinite series= ∑n=1 [4/n+11 + 1/n] + [1/n+21 + 1/n] + [4/n+31 + 1/n] + [1/n+41 +1/n] +………..
For n=1.
Determine the table of values for these simultaneous equations.
5 x + y = 7
3 x - y = 1
Step-by-step explanation:
5x + y = 7 ...1
3x - y = 1 ...2
...1 + ...2
5x + y + 3x - y = 7 + 1
8x = 8
x = 8/8
x = 1
Find the product of the complex number and its conjugate. 3 + 3i
18
9 - 9i
0
9 + 9i
Answer:
18 or A
Step-by-step explanation:
a+ai (a-ai)
Which of the following estimates at a 95% confidence level most likely comes from a small sample?
Answer:
we would need the answer choices to reply
7/8 + (-3/4) + (-7/-8)+ 3/4
Answer:
1.75 or 1 3/4
Step-by-step explanation:
7/8 + (-3/4) + (-7/ -8)+ 3/4
Simplify
7/8 -3/4 -7/-8 +3/4
We can get rid of -3/4 + 3/4, because together they = 0.
7/8 - 7/-8
So then we divide and subtract and get
1.75 or 1 3/4
How would you write an explanation for a, b, and c? Mississipi is the data point on the upper left that is an outlier
Step-by-step explanation:
a. Your answer is correct. The trend is that obesity rate increases with the number of fast food restaurants per capita. Since Mississippi has a high obesity rate and number of fast food restaurants per capita, it goes against the trend. It is an outlier in terms of the relationship.
b. The number of restaurants per capita is between 2 and 6 for most states. Mississippi's number of restaurants per capita is within this range, so it is not an outlier.
c. The obesity rate is between 22 and 38 for most states. Mississippi's obesity rate is within this range, so it is not an outlier.
The sum of three consecutive natural numbers is 540, find the numbers.
Answer:
179, 180, 181
Step-by-step explanation:
a +a +1 +a +2 =540
3a +3 =540
3a =540 - 3
3a=537
a=537 :3
a=179 (the first number
b=179 +1 =180 (the second number
c=179 +2 =181 (the third number
A 500-gallon water tank drains at a rate of 50 gallons per minute. The amount of water left in the tank depends on the number of minutes it has been draining. What is the range of this relation?
Answer:0<Y<500
The amount of water Left in the thing depends on the number of minutes it’s been draining so the dependent variable is the amount of water left in the tank.
express each of the following percentages as a fraction. 45%
Answer:
9/20
Step-by-step explanation:
45% can be written as
= 45/100
= 9/20
Hope it will help u..
6. (6.1H)
There are 468 cards, which will be
divided equally among 9 students.
How many cards will each student
get? Show your work.
Answer:
52 is correct answer ✔️
use the pictures or words to explain how you could find the sum of 7+7
A freight and passenger train share the same track. The average speed of the freight train is 45 mph, whereas that of the passenger train is 70 mph. The passenger train is scheduled to leave 20 minutes after the freight train departs from the same station. Determine the location where a siding would need to be provided to allow the passenger train to pass the freight train. Also determine the time it takes for the freight train to arrive at the siding. As a safety precaution, the separation headway between the two trains at the siding should be at least equal to 6 minutes.
Answer:
The first siding should be located at 30 miles
The time for the freight to arrive at the siding is 40 minutes
Step-by-step explanation:
From the given information:
Let [tex]T_f[/tex] represent the time for the freight train
Also, let [tex]T_P[/tex] represent the time at which the passenger train reach the location
Let Y represents the location where the location of the siding of the track needed to take place.
Thus, for freight time:
[tex]T_f = \dfrac{Y}{45} --- (1)[/tex]
The siding location is:
[tex]T_P = \dfrac{2}{6}+\dfrac{Y}{70}[/tex]
[tex]T_P =0.333+\dfrac{Y}{70} --- (2)[/tex]
To determine Y:
[tex]T_P -T_f = 0.1 --- (3)[/tex]
replacing the value of [tex]T_f[/tex] and [tex]T_P[/tex] in the above equation (3), we have:
[tex]0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1[/tex]
collecting like terms, we have:
[tex]\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333[/tex]
[tex]\dfrac{45Y- 70Y}{3150} =-0.233[/tex]
[tex]\dfrac{-25Y}{3150} =-0.233[/tex]
- 25Y = -0.233 × 3150
- 25Y = -733.95
Y = -733.95/-25
Y = 29.36 miles
Y [tex]\simeq[/tex] 30 miles to the nearest whole number
Thus, the first siding should be located at 30 miles
To estimate the time for the fight to arrive the siding, we replace 30 miles for [tex]T_f[/tex] in equation (1).
Then, we have:
[tex]T_f = \dfrac{Y}{45}[/tex]
[tex]T_f = \dfrac{30}{45}[/tex]
[tex]T_f =0.667\ hr[/tex]
[tex]T_f =(0.667 \times 60 )minutes[/tex]
[tex]T_f =40.2 \ minutes[/tex]
[tex]\mathsf{T_f \simeq 40 \ minutes}[/tex]
Thus, the time for the freight to arrive at the siding is 40 minutes
Bella lost 10 points 7 times playing a video game she then lost an additional a hundred points for going over the time limit what was the total change in her score
ga fa gza ca Morgan aca she moaned so hard
find the first three terms of the sequence with nth term 2n+4
Answer:
To find out the first three terms of 2n + 4 substitute 1 ,2 and 3 into the equation.
2(1)+4=2+4=6
2(2)+4=4+4=8
2(3)+4=6+4=10
As you can see the sequence goes up in 3s 6 ,8, 10 To find out the 9th term you also substitute 9 into the equation so
2(9)+4=18+4=22
Hope this helped!
Find the mean, median, and mode for the following scores: 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7
Answer:
mode is 7, mean, 6.3 repeating, median 7
Step-by-step explanation:
A
Para resolver los siguientes casos, plantea sistemas de
ecuaciones en tu cuaderno y encuentra los valores de las
incógnitas.
1. Horacio quiere poner una hamaca en su jardín. Tiene una cuer-
da que mide 14 metros para amarrar los dos extremos de la
hamaca, por lo que decide cortar la cuerda en dos. Si un pedazo
de cuerda mide 4 metros más que el otro, ¿cuánto miden las
nuevas cuerdas?
2. Imagina que vas a la tienda con un amigo y compras 6 paletas
y 2 gomitas. Tu amigo pide 1 paleta y 10 gomitas. Si tú pagas
$24 y tu amigo $33, ¿cuánto cuestan las gomitas y las paletas?
porfavor ayuda es para una tarea de mañana antes de las 8
Answer:
1 La longitud de las nuevas cuerdas = 5 metros y 9 metros
2 El costo de las paletas = $ 3
El costo de las gomitas = $ 3
Step-by-step explanation:
1) Sea la primera mitad de la cuerda representada por = a
Deje que la segunda mitad de la parte superior esté representada por = b
a + b = 14 metros
De la pregunta, se nos dice que ok, la mitad es 4 metros más larga que la otra
a = b + 4
Por lo tanto
b + 4 + b = 14 metros
2b + 4 = 14 metros
2b = 14 - 4
b = 10/2
b = 5 metros
a = b + 4
a = 5+ 4
a = 9 metros
Por lo tanto, la longitud de las nuevas cuerdas = 5 metros y 9 metros
2)
Representemos el costo de las paletas = p
Costo de gomitas = g
De la pregunta 2 se nos dice que:
Tu vas a la tienda con un amigo y compras 6 paletas y 2 gomitas. Si tú pagas $ 24
Por tanto: 6p + 2g = 24 ....... Ecuación 1
Tu amigo pide 1 paleta y 10 gomitas. y tu amigo $ 33
p + 10g = 33 ....... Ecuación 2
p = 33 - 10g
Sustituya p por 33 - 10g en la Ecuación 1
6p + 2g = 24 ....... Ecuación
6 (33-10 g) + 2 g = 24
198 - 60 g + 2 g = 24
-58g = 24-198
-58g = - 174
g = -174 / -58
g = $ 3
Para encontrar p
p = 33 - 10g
p = 33 - 10 × 3
p = 33 - 30
p = $ 3
Por lo tant,
El costo de las paletas = $ 3
El costo de las gomitas = $ 3
HELP PRECALC WILL GIVE BRAINLIEST
Answer:
389376Step-by-step explanation:
a) The value in C22 is the amount of inventory Store B has of Product Y at the end of July. That value is the starting inventory, 476, less July sales, 87, so will be ...
476 -87 = 389 = C22
__
b) The maximum possible sales of Product Z by Store A in July will be the amount they have in starting inventory, 376. Max(A31) = 376.
___
Additional comment
We have to assume that stores don't share inventory, and that there is no incoming product during the month.
An employment agency sells its services to companies
Which of the following describes the quotient of 3 and -21? A. The quotient is undefined. B. The quotient is an integer. C. The quotient is a rational number. D. The quotient is an irrational number.
Answer:
pretty sure its B. The quotient is an integer
Step-by-step explanation:
Suppose (-6,- 1) is a point on the graph of y=g(x).
(a) What point is on the graph of y = g(x+4)-5?
(b) What point is on the graph of y= - 49(x-7)+4?
(c) What point is on the graph of y = g(4x + 2)?
(a) What point is on the graph of y = g(x + 4) - 5?
What is 16/6 as a decimal?
Simplify the expression: 8(5+5v)+5v
Answer:
40+45v
Step-by-step explanation:
first you distribute 8 to 5 and 5v which gets you 40+40v+5v
then you add the like terms which gets you 40+45v
5. Susie has 24 bags of pretzels and 16 bags of chips. She wants to make snack
packs to sell at the carnival, and she wants each snack bag to have the same
number of pretzel bags and chip bags. ANSWER questions 5a, b and c
Step-by-step explanation:
Given that,
Susie has 24 bags of pretzels and 16 bags of chips.
She wants to make snack packs to sell at the carnival, and she wants each snack bag to have the same number of pretzel bags and chip bags.
To find the same no of pretzel bags and chip bags, we can take LCM of 24 and 16.
LCM of 24 and 16 = 48
It means she will need 48 pretzel bags and chip bags