NEED HELP ASAP!
Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. TankB
contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how
many minutes will the tanks contain the same amount of water? How much water will
that be?
Answers
9514 1404 393
Answer:
5 minutes; 60 gallons
Step-by-step explanation:
The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...
y = 35 +5x . . . . . . where y is gallons, and x is minutes
The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...
y = 100 -8x
We want to find the values of x and y such that both are the same for both tanks.
35 +5x = y = 100 -8x
13x = 65 . . . . . . . . add 8x-65 to both sides of the equation
x = 5
y = 100 -8·5 = 60
Both tanks will hold 60 gallons after 5 minutes.
Related Questions
Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998 and has been raising prices by a steady percentage each year to keep up with inflation.
What is the price of a haircut at the salon in 2008? Explain or show your reasoning.
In 2003, the salon charged $19.95 for a basic haircut. Find the cost of the basic haircut in 2013. Explain your reasoning.
Answers
9514 1404 393
Answer:
$22.12$24.51Step-by-step explanation:
For some growth factor f each year, the growth factor over 20 years is given as ...
f^20 = 1 +0.51 = 1.51
Then the growth factor in 10 years is ...
f^10 = (f^20)^(1/2) = √1.51 ≈ 1.22882
__
a) In the 10 years between 1998 and 2008, the price of a basic haircut would rise to ...
$18 × 1.22882 ≈ $22.12 . . . price in 2008
__
b) In the 10 years between 2003 and 2013, the price of a basic haircut would rise to ...
$19.95 × 1.22882 ≈ $24.51 . . . price in 2013
What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?
Answers
Answer:
y = -6x + 7
Step-by-step explanation:
In this question, we need to find the equation of a line with the given information.
We know that the line passes through (2, -5).
We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.
To make it simpler to understand, we can change the equation into slope format:
y = -6x + 6
This means that our new line should have a slope of -6.
With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.
Plug in your slope and coordinates to the y = mx + b equation and solve for b:
-5 = -6(2) + b
-5 = -12 + b
Add 12 to both sides.
7 = b
Our y-intercept would be b.
Now, we can plug in all our information to get our new equation:
y = -6x + 7
Your answer would be y = -6x + 7
plz help it’s the pythagorean theorem
Answers
How is speed similar to solving for time?
Answers
To get the speed of something you would have to sole for s=d/t (speed equals distance over time)
For what value of k is the expression [tex]x^{4}[/tex]+k[tex]x^{2}[/tex]+49 a perfect square?
a. 7
b. 14
c. 49
d. 98
Answers
Answer:
k = 14
Step-by-step explanation:
Given:
x⁴ + kx² + 49
Find:
Value of k
Computation:
x⁴ + kx² + 49
(x²)² + (k)(x²) + 7²
we know that;
a² + 2ab + b²
On compare;
k = 2 x 7
k = 14
The expression ( x − 12 ) is a factor of x 2 + p x − 48 . What is the value of p ?
Answers
Answer:
p = -8
Step-by-step explanation:
Since, (x - 12) is a factor, then;
x - 12 = 0
x = 12
substitute the value of x in the equation
[tex]x^{2}[/tex] + px - 48 = 0
[tex](12)^{2}[/tex] + 12p - 48 = 0
144 + 12p -48
12p = -144 + 48
12p = -96
p = -8
So that,
[tex]x^{2}[/tex] +-8x - 48 = 0
[tex]x^{2}[/tex] -12x + 4X- 48 = 0
([tex]x^{2}[/tex] -12x) + (4X- 48)
X(X - 12) + 4(X - 12)
(X - 12) (X + 4)
Therefore, p = -8 and (X - 12) (X + 4) are factors of the equation.
39/9 as a repeating decimal
Answers
Answer:
4.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
just do it
if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum
Answers
formula p= 100 I/RT
100×1050÷7.5×4
105000÷30
p= sh 3500
Find the unit rate. Round to the nearest hundredth, If necessary.
$290 for 12ft
Answers
Answer:
24.17
Step-by-step explanation:
Answer:
$24.17 per feet
Step-by-step explanation:
290/12=24.1666...
24.16666 rounds to 24.17
A friend gives you two baseball cards for your birthday. Afterward, you begin collecting them. You buy the same number of cards once each week. The equation y = 4x + 2 describes the number of cards, y, you have after x weeks.
Discuss which points on the line do not make sense in this situation. Then plot three more points on the line that do make sense.
Answers
Answer:You have 2 cards upfront, so the constant term in this linear equation is 2. The slope represents how many more cards you buy or acquire per day, week or month (depending upon how eager you are to fatten your collection). ;)
y = 2 + (rate of acquisition of cards)(time)
y = 2 + rt
answer both and I will give brainiest and 50 points.
Describe the location of the point in coordinate space.
(–7, 9, –2)
From the origin, move 7 units back, 9 units left, and 2 units down.
From the origin, move 7 units back, 9 units right, and 2 units up.
From the origin, move 7 units forward, 9 units right, and 2 units down.
From the origin, move 7 units back, 9 units right, and 2 units down.
Describe the location of the point in coordinate space.
(–2, 8, –4)
From the origin, move 2 units back, 8 units left, and 4 units down.
From the origin, move 2 units forward, 8 units right, and 4 units down.
From the origin, move 2 units back, 8 units right, and 4 units up.
From the origin, move 2 units back, 8 units right, and 4 units down.
Answers
Answer:
1. From the origin, move 7 units back, 9 units right, and 2 units down.
2. From the origin, move 2 units back, 8 units right, and 4 units down.
Hope this helps :)
Victoria created the scatterplot below based on the data in the table for the ages and heights of some teachers in her school. Teacher Age vs. Height Teacher Age Height (in.) 1 36 62 2 28 70 3 50 60 4 44 72 5 58 68 6 24 65 A graph titled Teacher Age versus height has age on the x-axis and height (inches) on the y-axis. Points are at (22, 66), (28, 70), (35, 62), (42, 72), (60, 50) and (59, 69). She wants to see if a teacher’s height depends on his or her age. What did she do wrong when she created the scatterplot? She mixed up the independent and dependent variables. She labeled the x-axis of the scatterplot “Age” when she should have labeled it “Teacher.” She plotted the point (36, 62) when she shouldn’t have. She mixed up the x- and y-coordinates of the point representing teacher 3.
Answers
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test and got 100%.
I’ll love you forever if you help me with this ASAP PLEASE
Answers
Answer:
y = 4
or (0, 4)
Step-by-step explanation:
intersecting the y-axis is basically when x is equal to 0.
1.5(0) +4.5y = 18
y = 4
So your y-intersect is (0, 4) and thats when it intersects the y-axis.
Use the sketch tool to indicate what Edwin is describing as the parabola's "turning point."
Answers
Answer:
The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.
Step-by-step explanation:
We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.
Colton opened a savings account and deposited $1,000.00 as principal. The account earns 11% interest, compounded annually. What is the balance after 8 years? Round your answer to the nearest cent.
Answers
Answer:
$2304.5
Step-by-step explanation:
The balance after 8years=P(1+R/100)^t
=1000(1+11/100)^8
=$2304.5
PLS HELPPPPPPPPPPP Determine the approximate value of X round to the nearest hundredth
Answers
Answer:
Step-by-step explanation:
We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.
Answer:
D.) x = 5.29
Step-by-step explanation:
first find the last angle measure 180-90-54=36
use law of sines to find x
sin90/9=sin36/x
(sin90)(x) = (sin36)(9)
(sin90)(x) = 5.29
x = 5.29
a boat used 1/24 of a gallon of gas to drive 1/3 of a mile.At this rate how many miles can the boat go using 1 gallon of gas.
Answers
The answer is:
8 miles
I'll give 15 points for this question
Answers
Answer:
4. Is 6 eggs
5. Is 7 eggs
Step-by-step explanation:
Kia has 4 necklaces , 7 bracelets ,and 5 rings to bracelets
Answers
Answer:
What are you asking?
Step-by-step explanation:
Which transformation will carry a regular octagon onto itself?
Answers
Answer:
you have to move it to an adjacent side. hope this helped have a nice day:)
I have 8 questions witch means 80 points answer correctly!
Answers
[tex] \Large \pink{\tt \dfrac{35}{36}}[/tex]
Solution :[tex] \tt \dfrac{3}{4} + \dfrac{2}{9}[/tex]
By taking LCM = 4 × 9 = 36
[tex] \tt = \dfrac{3 \times 9}{4 \times 9} + \dfrac{2 \times 4}{9 \times 4}[/tex]
[tex] \tt = \dfrac{27}{36} + \dfrac{8}{36}[/tex]
[tex] \tt = \dfrac{27 + 8}{36}[/tex]
[tex] \tt = \dfrac{35}{36}[/tex]
[tex] \pink{\tt \therefore \: Answer \: is \: \dfrac{35}{36}}[/tex]
Liam babysat for 3 1/2 hours and made $31.50. How much money does he make per hour?
Answers
Answer:
$9 per hour
Step-by-step explanation:
31.50/3.5 = 3150/350 = 630/70 = 63/7 = 9
Hope this helps! :3
plz mark as brainliest!
Find the exact length of the third side.
48
14
Answers
Answer:118
Step-by-step explanation:
It has to equal 180 degrees in total so 48+14=62
180-62=118
So the answer is 118
Which source of evidence did Wegener use to support his theory of continental drift?
fossils
magnetic fields
satellite mapping
warm equatorial climates
Answers
Answer: fossils
Step-by-step explanation: he compared the fossils on each continent and realized that they all have similar aspects.
Answer:
fossils
Step-by-step explanation:
Farell has a gift card with a 45 balance he bought some bags of chips that cost 2.50 each after his perchase his gift card balance was 32.50 write and solve the equation to find how how many bags of chips x he bought
Answers
Answer:
He bought 5 bags of chips
Step-by-step explanation:
Here, we want to calculate the number of bags of chips bought
The amount used on the balance is;
45-32.5 = 12.5
Let the number of chips bought be n
Since each chip cost 2.5 each;
The amount of chips bought will be 2.5 * n = 2.5n
This is same as 12.5
Thus;
2.5n = 12.5
n = 12.5/2.5
n = 5
Please help If you can
Answers
Answer:
B is the answer!!!!!!!!!
help. answer is not D
Answers
Answer:
It would be C or B
Step-by-step explanation:
can't be A because A is 0 and there is no way you could be able to draw 0 lines so it would most likely be C
Linear Review: Billy Bob recently purchased solar panels for his home. After 5 months he still owed 2850. He makes a $30 payment each month towards his loan. Build a model. Write an explanation for slope and y-intercept. How many months will it take Billy Bob to finish making payments.
Answers
Answer:
Step-by-step explanation:
B) The first step is to calculate the monthly payment using a present value (PV) of $59,000 , monthly interest rate of 7.60 /12 = 0.633333 %, and 60 periods, which = $1185.04 ; the second step is to add $50 to this monthly payment giving the new monthly payment of $1235.04 ; the last step is to calculate the time required to pay off the loan = 57.0740 months.
Solve for x: 3x − 2 > 5x + 10. (5 points)
1) x > 6
2) x −6
Answers
Answer:
[tex]x<-6[/tex]
Step-by-step explanation:
[tex]3x-2>5x+10[/tex]
Add 2 to both sides
[tex]3x-2+2>5x+10+2[/tex]
Simplify
[tex]3x>5x+12[/tex]
Subtract [tex]5x[/tex] from both sides
[tex]3x-5x>5x+12-5x[/tex]
Simplify
[tex]-2x>12[/tex]
Multiply both sides by [tex]-1[/tex] (reverse the inequality)
[tex](-2x)(-1)<12(-1)[/tex]
Simplify
[tex]2x<-12[/tex]
Divide both sides by [tex]2[/tex]
[tex]\frac{2x}{2} <\frac{-12}{2}[/tex]
Divide the numbers: [tex]\frac{2}{2} =1[/tex]
[tex]=x[/tex]
Divide the numbers: [tex]\frac{-12}{2}[/tex]
Apply fraction rule: [tex]\frac{-a}{b} =-\frac{a}{b}[/tex]
[tex]=\frac{12}{2}[/tex]
Divide the numbers: [tex]\frac{12}{2} =6[/tex]
[tex]=-6[/tex]
[tex]x<-6[/tex]
Answer:
x < -6
Step-by-step explanation:
I just took the test. When you are dividing by a negative variable, flip the sign.
How many pounds are in 3000 ounces?
Answers
Answer:
187.5 pounds are in 3000 ounces
Step-by-step explanation:
The answer will be 187.5 pounds