Answers
Answer:
5 hours
Step-by-step explanation:
Let's express each scenario as a function in a slope-intercept form, y = mx + b,
Where,
y = total amount of water
x = number of hours
m = rate of at which water is drained or filled per hour
b = initial quantity of water in the tank
✔️Equation for Tank A:
m = 2 gallons/hour = 2
b = 100 gallons = 100
Substitute m = 2 and b = 100 into y = mx + b:
y = 2x + 100
✔️Equation for Tank B:
m = 6 gallons/hour = -6 (this is negative 6 because water drains)
b = 140 gallons = 140
Substitute the values into y = mx + b
y = -6x + 140
✔️Set the two equation equal together to determine the number of hours (x) that must pass for the total amount of water (y) in tank A and tank B to be the same.
2x + 100 = -6x + 140
Collect like terms
2x + 6x = -100 + 140
8x = 40
Divide both sides by 8
x = 40/8
x = 5
Therefore, 5 hours must pass for the total amount of water in both tanks to be the same.
Related Questions
Show your work W
What is the great GCF (Greatest Common Factor)?
24x^2 and 20x
Answers
First, determine the greatest common factor between the numbers.
Remember, the greatest common factor is just the largest
factor that divides evenly into the two numbers.
In this case, 4 is the largest number so the GCF of our numbers is 4.
For the variables, however, we use the smallest power.
Since we have an x and an x², we use an x.
So our GCF is 4x.
Plzzzzzz helppppppppp
Answers
Answer:
23
Step-by-step explanation:
Step-by-step explanation:
Area of the triangle = 1/2 × base × height
Area of the triangle = 1/2 × 6 ft × 8 ft
= 3 ft × 8 ft
= 24 ft²
Fill in the table and graph the points 1 Fill in the table for the equation: y = 3x + 2
x y
0 ?
1 ?
2 ?
2. Graph the points.
Answers
0 2
1 5
2 8
Here’s the points graphed
what is the volume for this prism 7 1/2cm 12cm 15 1/2cm
Answers
Solve the formula for n
Answers
Answer:
a^2
Step-by-step explanation:
1. if the square root of 5n is now just 5n, that means it was squared.
2. You need to square the other side of the equation which was a.
3. so the box should have a squared.
De que numero es 49 un medio de. un tercio mas?
Answers
Answer:
49 entre 3=16.33
la mitad de 49=24.5
Step-by-step explanation:
A principal of $4800 is invested at 4% interest, compounded annually. How much will the investment be worth after 14 years?
Use the calculator provided and round your answer to the nearest dollar.
Answers
Answer: A=4800(.04)^14
Step-by-step explanation: solve
a model for a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the model to the height of the actual model in simplest form?
Answers
Answer:
Ratio [Model : Actual] = 1:16
Step-by-step explanation:
Given:
Height of model = [tex]2\frac{1}{2}[/tex] inches = 5/2 inches = 2.5 inches
Height of actual status = [tex]3\frac{1}{3}[/tex] feet = 10 / 3 feet
Find:
Ratio [Model : Actual]
Computation:
Height of actual status = [tex]3\frac{1}{3}[/tex] feet = 10 / 3 feet
Height of actual status = [10 / 3] x 12
Height of actual status = 40 inches
Ratio [Model : Actual] = 2.5 / 40
Ratio [Model : Actual] = 1:16
Plz whoever has the best answer i'll give brainliest.
Answers
Answer:
Hmmm... There's no question which leads to the reasoning that there is no answer.
Step-by-step explanation:
Pls help!!!!!!!!!!!!!!!!!!
Answers
Answer:
d
Step-by-step explanation:
Express as a difference. 7+3. Please explain.
Answers
Answer:
7 + 3 = 10, difference means the answer to a subtraction problem, not sure I understand the question
Step-by-step explanation:
The given expression (7 + 3) represented in difference form as [tex]7-(-3)[/tex]
Difference of numbers :
We have to express 7 + 3 as difference of two number.
As we know that,
[tex]a-(-b)=a+b[/tex]
In above expression, (a + b) is difference of two number a and -b.
Similarly,
[tex]7+3=7-(-3)[/tex]
Thus, (7 + 3) represented in difference form as [tex]7-(-3)[/tex]
Learn more about the difference of number here:
https://brainly.com/question/18591813
A store that sells skis buys them from a manufacturer at a wholesale price of 57. the stores markup rate is 50%
What price does the store charge it's customers for the skis
Answers
Answer:
$85.50
Step-by-step explanation:
57 * .5 = 28.5
28.5 + 57 = 85.5
therefore, the answer would be $85.50
Answer:
85.5
Step-by-step explanation:
Find the surface area of the prism 5 m 5 m 4 m 7 m 6 m
Answers
Answer:
136 m²
Step-by-step explanation:
Bottom: 6x7=42
Sides: 5x7x2=70
Triangles: 2x1/2x6x4=24
42+70+24=136
Select all the equations where b = 11 is a solution. I need the answer quickly please.
Answers
Answer:
c
Step-by-step explanation:
ILl give brainliest
Answers
Answer:
vdsjBHCkbdsubvidbsvksdv
Step-by-step explanation:
1+1+!+!+!+!!+!+!+=1+!+!+!
Answer:
46.5 m sqaured
Step-by-step explanation:
I was confused on these
T-T
Answers
Answer:
Step-by-step explanation: The answer for 7: is 7/2
8: 28/5.
9: 9/4
10: 24/5
What percent is represented by the shaded area?
Answers
Answer:
110%
Step-by-step explanation:
because there are two different squares that represent a whole, each with ten sections, the most reasonable answer would be 110%. I hope this helps you!
Which expression is equivalent to
1
q(-60r +
* + 249) -8r(5q + r)?
12
iz
Answers
Answer:B
Step-by-step explanation:
I just put B I don’t know if it’s right...
If a=3, what is the value of 2a to the power of 2?
Answers
Answer:
2a×2a
2×2×2×2
16#
This is the answer i think
Answer:Hence, the values of a 2 =9 and 2 a =8.
Step-by-step explanation:a
a^2 =3 ^2
=3∗3
=9.
2 ^a =2 ^3
=2∗2∗2
=8.
WILL GIVE BRAINLST
hAVE A GOOD DAY
Answers
Answers:
9) 16/100 = 8/50 = 4/25
10) >
ANSWER QUICK PLEASE
Question 1
Simplify: -6 + 10 +-8
Question 2
Simplify (-3)(6)
Question 3
Simplify
-7 - 18
Answers
Answer:
the answer is to this question is -25
Answer:
1) -4
2) -18
3) -25
Step-by-step explanation:
1)
-6 + -8 = -14
-14 + 10 = -4
2)
Any number multiplied by a negative number will result in a negative product.
So what I do is I multiply as if there was no negative sign: 3 × 6 = 18
Then I add the negative sign to the product: -18
3)
One way you could do this is by switching it around: 18 - -7
Which would make it: 18 + 7 = 25
Then add the negative sign: -25
HURRY PLEASE!! I WILL GIVE BRAINLIEST
Answers
Answer:
X=2
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
x + 2 - 2 = 10 - 2 subtract 2 from both sides/ simplify x = 8
HELP MEE PLSSS I REALLY NEED HELP
Answers
Answer: to understand this we need a picture of the triangle, but without it I know that the only answer that is correct is the 3rd
Step-by-step explanation:
There are 9 students entering the school district's science project with all students having an equal chance
of winning. There are medals for 1st, 2nd, and 3rd place. In how many different ways can the medals be
awarded?
Answers
-2(x + 2) =
Please help
Answers
Answer:
-2x - 4
Step-by-step explanation:
Is your expression
-2 x x = -2x
-2 x 2 = 4
therefore, your expression would be:
-2x - 4
Answer:
-2(x + 2)= -2x - 4
Step-by-step explanation:
What is the solution to the system of equations?
6x+ 2y = 6
7x+3y=5
o (-3,2)
o (-1.6)
o (2.-3)
o (6.-1)
Answers
(2,-3)
Explanation:
Equations -
6x+2y=6
7x+3y=5
Use the 'Elimination Method'
6x+2y=6 --> y=3-3x
Now plug the 'y' into the other equation.
7x+3(3-3x)=5
turns into:
7x+9-9x=5
simplified:
9-2x=5
-2x=-4
----------
x=2
Now plug the x into the 'y=3-3x' equation:
y=3-3(2)
y=3-6
------------
y=-3
The x intercept is 2, and the y intercept is -3
Use the pic for more info and I will mark as brainlest
Answers
Three - tenths of x is 15
Answers
Answer:
50
Step-by-step explanation:
50 / 10 = 5
5 x 3 = 15
linda bought 1 shirt and 2 ties at the same store. What is the total price, in dollars and cents, of Linda's purchase?
Answers
4x+2y=95
3x+3y=84
common in 3 and 2 is 6
3*2 =6 and 2*3+6
3(4x+2y=95)
2(3x+3y=84)
12x+6y=285
6x+6y+168
add 12x and 6x erase 6y's and add 285 and 168
18x=453
x=453/18
25.17
6x+6y=168
151.02+6y=168
6y=16.08
y=2.68
then
25.17+5.36
=30.53
total answer
PLS HELP DUE IN A HOUR!! FIND X
Answers
Answer:
x = 20
F = 46
Step-by-step explanation:
For x :
( 20 ) * 2 = 40
40 + 3 = 43
For degrees F
Add triangles have a angle sum of 180
So you just subtract 180 by the angles in the triangle
180 - 91 = 89
89 - 43 = 46
46 is remaining so it is the missing degrees ( F )