There are approximately 26 billion ounces of a water left in a natural spring, and every year humans consume about 150 million ounces of it. Let V stand for the volume (in millions of ounces) of spring water remaining, and t stand for the number of years since 2018. What linear equations could model the decreasing supply of water in this particular spring?
Answers
Answer:
V(t) = 26,000 - 15t
Step-by-step explanation:
Given the following :
Initial approximate volume of water = 26 billion ounces
Yearly consumption = 150 million ounces
Let V = volume remaining
Linear equation to model decreasing supply of water.
Volume left = Initial volume - consumption
Consumption = 150 million per year
Consumption after t years = 150 million * t
Volume left = 26,000,000,000 - 150,000,000t
V = 26,000,000,000 - 150,000,000t
Divide by 1,000,000
V(t) = 26,000 - 15t
Related Questions
What is the quotient
-3/8 ➗-1/4
A -1 1/2
B -3/33
C 3/32
D 1 1/2
Pls help
Answers
Answer:
The answer is A
Step-by-step explanation:
-3/8 divided by -1/4 = -1.5 (in fraction form it is -1 1/2)
For every 14 litres of petrol a car can run for 70 km. How much petrol do you need (to 1 DP) to ensure the car has enough petrol of a trip that is 126 km
Answers
Answer:
25.2
Step-by-step explanation:
14litres : 70 km
? : 126km
126/70 = 1.8
14 x 1.8 = 25.2
25.2 litres of petrol
please mark as brainliest. thank you
Answer:
25.2 litres
Step-by-step explanation:
using proportion
let the amount of petrol we are searching for be x
14litres/xlitres =70km/126km
cross multiply
70x=126×14
70x =1764
x=1764/70
x=25.2litres
4) A baby weighed 7.2 pounds at birth and 9.0 pounds at the age of one
month. What was the percent increase? (Round to the nearest whole
percent)
Answers
Answer:
Step-by-step explanation:
Hopes this helps!
Answer:
25%
Step-by-step explanation:
9.0 - 7.2 = 1.8
(1.8 ÷ 7.2) × 100 = Answer %
3(x-1)-8=4(1+x)+5 solve for x
Answers
Answer:
x = -20Step-by-step explanation:
Distribute
3x - 3 - 8 = 4 +4x + 5
Combine like terms
3x-4x = 4 + 5 + 8 + 3
-x = 20
x = -20
Answer:
x = -20
Step-by-step explanation:
3(x - 1) - 8 = 4(1 + x) + 5
3x - 3 - 8 = 4 + 4x + 5
3x - 11 = 4x + 9
3x = 4x + 20
-x = 20
x = -20
Best of Luck!
solve the equation for x
Answers
Answer:
[tex]\bold{x=\frac{-6+z}6=-1+\frac z6}[/tex]
Step-by-step explanation:
[tex]\bold{x-6+5x=-12+z}\\{}\quad +6\qquad\quad\ +6\\{\quad}\bold{6x\ =\ -6+z}\\{}\quad\div6\quad\ \ \div6\\{}\quad \bold{x=\frac{-6+z}6=-1+\frac z6}[/tex]
solve for x: 1/3 (2x-8) = 4
Answers
2x-8=12 2x=12+8
2x=20 x=20÷2
x=10
Answer:
10
Step-by-step explanation:
1/3 (2x-8) = 4
1/3 ×2x - 1/3 ×8 = 4
2x/3-8/3=4
2x-8 /3=4
2x-8=4×3
2x-8=12
2x=12+8
2x=20
x=20/2
x=10
Measure the distance from point A to points B, C, and D. Round to the nearest eighth of an inch. Reduce if possible.
Answers
Answer:
if its on a coordinate plane the formula would be:
√(2x-1x)²+(2y-1y)²
Step-by-step explanation:
so if the coordinates were
A= (-3,2)
B= (4,2)
C= (4,-1)
D= (-3,-1)
for A to B it would be
√(4 - (-3)² + (2-2)²
√(7)² + (0)²
√(7·7) + (0·0)
√49+0
√49
or
7
I hope the explanation helped
Calories burned varies directly to miles run. Dustin burns 190 calories for every 2 miles he runs. Part 1: Find the value of k. Part 2: Write the equation for the direct variation. Part 3: Find how many calories Dustin will burn after running 7 miles.
Answers
Answer:
C = km
k = 95
C = 665
Step-by-step explanation:
Calories burned varies directly to miles run.
Let
C = calories burned
m = miles
C = km
Dustin burns 190 calories for every 2 miles he runs
C = 190
m = 2
C = km
190 = k2
Divide both sides by 2
k = 95
equation for the direct variation.
C = km
Find how many calories Dustin will burn after running 7 miles.
C = ?
m = 7
k = 95
C = km
C = 95 × 7
= 665
if someone could please help that would be great <3
Answers
Answer:
BD = 12
Step-by-step explanation:
What is the sum of 3.026 and 25.87?
Answers
Answer:
28.896
Step-by-step explanation:
3.026 + 25.87
28.896
Best of Luck!
Answer:
28.896
Step-by-step explanation:
just add 3.026 and 25.87 together
simplify the expression 3/4(1440)+295.25+(-33.50)
Answers
Answer:
1341.75
Step-by-step explanation:
Solve each equation for the specified variable
Answers
Answer:
[tex]p2 = \frac{p1v1}{v2} [/tex]
Step-by-step explanation:
You want to get P2 alone
P1V1=P2V2
V2 V2
P1V1=P2
V2
Ms. Morgan received $50 for being awesome, and then spent $15 on a new pair of Disney ears. What percentage of her earnings did Ms. Morgan spend? And what did the new Disney ears look like? (remember, set up your problem like a ratio, reduce, then solve)
Answers
Answer:
Mrs Morgan spent 30% of her earnings.
Step-by-step explanation:
The percentage of her earnings did Ms. Morgan spent is calculated as:
Amount spent/ Total amount of money× 100
$15/$50 × 100
= 30%
Therefore, Mrs Morgan spent 30% of her earnings.
The new disney ears looked lovely.
43.82 divided by 7.4
Answers
Answer:The answer is 2191/370
Answer:
5.92297297297...
Step-by-step explanation:
First, I made it into a fraction and multiplied the numerator and denominator by 10: [tex]\frac{43.82}{7.4}[/tex]
Then I put it into long division format and solved.
So, these are the following steps that I did:
1. Divide 438 by 74 to get 5.
2. Multiply the quotient digit left (5) by the divisor 74.
3. Subtract 370 from 438, add a decimal point to the solution, and divide to find the remainder.
In the end, I got 5.92297297297... [ 297 will continue to repeat so this is a repeating decimal. ]
Is 1 2/6 an irrational number
Answers
Answer:yes
Step-by-step explanation:
4/7 as a decimal rounded to 3 places
Answers
Answer:
0.571
Step-by-step explanation:
Answer:
0.571
Step-by-step explanation:
divide 4 and 7
Solve for x and find de mesures of Angule B
Answers
Answer:
x=9.4
b=77.2
Step-by-step explanation:
a+b=180
as they are interior angles
(6x-48)+(4x+38)=180
6x-48+4x+38=180
6x+4x+38-48=180
10x+86=180
10x=180-86
10x=94
x=94/10
x=9.4
b=(4x+38)
b=4x+38
b=4(9.8)+38
b=39.2+38
b=77.2
Laurie is designing a type of candy dispenser for use at grocery stores. When pressure is applied to a lever by the customer, candy will fall into a container. As pressure on the lever increases, so will the amount of candy that is dispensed. For each pound per square inch of pressure placed on the lever, the amount of candy dispensed will triple.
Which of the following does this situation represent?
Answers
Answer:
The answer is a functun only hope this helps
Step-by-step explanation:
Answer:
both a relation and a function
Step-by-step explanation:
Pspears993 got the right answer
Two galaxies are shown. Galaxy U: Dust, gas, and stars in the shape of a pinwheel, relatively small in size. Galaxy NGC 1427A: Dust, gas, and stars in a nonuniform arrangement spread out over a large area. How are NGC 1427A and U different? How are they the same?
Answers
Answer:
NGC 1427A has no general shape, so it is an irregular galaxy. U has a bulge in the center and arms, so it is a spiral galaxy. They are similar in that both contain plenty of dust and gas. Both also have active star-forming sites.
Step-by-step explanation:
NGC 1427A is an irregular galaxy with no discernible shape. The spiral galaxy U has a bulge in the middle and arms.
What is a galaxy?A galaxy is a massive clump of gas, dust, and billions of stars and their solar systems bound together by gravity.
The first galaxies were discovered in the 17th century by Charles Messier, who had no idea what they were at the time.
Messier, a proficient comet viewer, noticed many more fuzzy objects in the sky that he knew were not comets.
We would discover 64 galaxies the size of the Milky Way in a cube that now holds one galaxy the size of the Milky Way.
NGC 1427A is an irregular galaxy because it lacks a general shape. U is a spiral galaxy, since it contains a bulge in the center and arms.
They are comparable in that they both have a lot of dust and gas. Both have active star-formation sites.
Hence, they are comparable in that they both have a lot of dust and gas.
To learn more about the galaxy refer to the link;
brainly.com/question/2905713
#SPJ2
x+5y=5
Convert from the given standard form of a linear equation to the slope-intercept form of a linear equation
Answers
Answer:
y=-1/5x+1
Step-by-step explanation:
divide both sides by 5: 1/5x+y=1
subtract 1/5x so y is alone since slope-intercept has y=mx+b: y=-1/5x+1
The slope-intercept form of the line x + 5y = 5 is y = - (1/5)x - 1.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, An equation of a line in the standard form x + 5y = 5.
We know the equation of the slope-intercept of the line is y = mx + b.
Therefore, The slope-intercept form of the equation x + 5y = 5 is,
5y = - x - 5.
y = - (1/5)x - 1.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ2
Given the Isotope Chlorine-38, determine which of the following statements
are correct.
1. It has an atomic mass of 35 amu.
2. There are 17 protons in the nucleus of its atom.
3. There are 21 electrons in the nucleus of its atom.
4. There are 21 neutrons in the nucleus of its atom.
5. It has an atomic number of 17.
A. All are correct
B. only 1 and 2
C. only 2, 4 and 5
D. only 1
E. only 2 and 5
Answers
Answer:
Step-by-step explanation:
A
is π + 24 rational or irrational
Answers
Answer:
Irrational
Step-by-step explanation:
As pi=3.141...
pi+24=27.141....
4(x-7)=2x-6 (show work)
Answers
Answer:
x = 11
Step-by-step explanation:
Given
4(x - 7) = 2x - 6 ← distribute parenthesis on left side
4x - 28 = 2x - 6 ( subtract 2x from both sides )
2x - 28 = - 6 ( add 28 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
If 2x + 7 = -21, what does 2 - x equal?
Answers
Answer:
16
Step-by-step explanation:
First, we solve for x.
[tex]2x+7=-21\\2x=-28\\x=-14[/tex]
We now evaluate 2-x, plugging in -14 for x.
[tex]2-x\\2-(-14)\\2+14\\16[/tex]
12.5
Step-by-step explanation:2x+7=-21
2x+7-7=-21-7
2x=-28
2x/2=-28/2
x=-14
2-x=?
2-(-14)
2+14=16
Hope this helped!
simplify
(8-2) a + 9b - (3+2) a + 10
Answers
Answer:
a+9b+10
Step-by-step explanation:
use foil method
Scientific Notation is made up of two number parts. The second part is a power
of base 10.
False
True
Answers
(A number multiplied by 10 to the power of any whole number integer n)
3) 10 - 1 * 10 / 5 Can Someone Explain How To Solve This Problem For A Example
Answers
1*10=10
10-10/5
10/5=2
10-2=8
Write an equation for the description.
Tanmayi wants to raise $170 for a school fundraiser. She has raised $140 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Answers
Answer:
She needs $30.
Step-by-step explanation:
170 minus 140 is 30.
Hot chocolate is made with milk warmed to 172∘F with an error tolerance of 6%. What is the acceptable temperature range for milk when making hot chocolate?
Answers
Answer:
161.68°F to 182.32°F
Step-by-step explanation:
6%=6/100= 0.06
0.06×172=10.32°F
thus temperature ️ range is
(172 + or - 10.32)°F
Pleasssseeee answer........
Simplify: 9log9(4) =
A. 3
B. 4
C. 9
D. 81
If f(x) = -2x2 + 8x - 4, which of the following is true?
A. The maximum value of f(x) is - 4.
B. The graph of f opens upward.
C. The graph of f has no x-intercept
D. f is not a one to one function.
Answers
Have a good weekend!
Answer:
B and D
Step-by-step explanation:
Have a nice week!
(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧ ✧ﾟ･: *ヽ(◕ヮ◕ヽ)
