Complete question :
Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.
Answer:
t < 160
Step-by-step explanation:
Given the inequality :
500−2.5t<100
-2.5t < 100 - 500
-2.5t < - 400
Divide both sides by 2.5
2.5t /2.5 < 400 / 2.5
t < 160
The time in seconds it takes to for there to be less than 100 gallons of water is 160s
A ball is thrown in the air. The relationship between the time the ball is in the air, t (in seconds), and the height of the ball in feet above the ground (h) is represented by h=-16t2+20t+6. How many seconds will it take for the ball to hit the ground?
Answer:
88
Step-by-step explanation:
87+1=88
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
1( Write an equation to represent the number of pages Amir has read.
Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
2( Write an equation to represent the number of pages Jesse has read.
Using x, (the number of days Amir has been reading), write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.
3(Write the system of equations using your answers from questions 1 and 2.
4(You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.
5(Solve the system of equations. Show your work.
6(Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?
Answer: 6 days
210 pages
Step-by-step explanation: As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
Answer:
1. y = 35x
2. y = 30x + 1
3. 35x = 30x + 1
35x = 30x + 30
35x -30x = 30
5x = 30
x = 6 (30/5 = 6)
This is what I got so far, I dont really understand the rest.
Step-by-step explanation:
The sum of 2 numbers is 20 their difference is 4 what are the 2 numbers
Answer: 12 and 8
Step-by-step explanation:
Their difference is four while others aren't.
Can someone give the answers for 1-6 ?
Answer:
Step-by-step explanation:
1)3.14.16
2)78.54
3)12.57
4)346.36
5)72.38
6)i don't know sorry but this is better than no answer
f(x)=x2 + 4x -6
f(x) can be written in the form (x + m)?+n.
Find the value of m and the value of n.
Answer:
m = 2 and n = -10
Step-by-step explanation:
The given function is f(x) = x² + 4·x - 6
The form in which f(x) is to be written = (x + m)² + n, which is the standard form of a quadratic equation
We have;
f(x) = x² + 4·x - 6 = x² + 4·x + 4 - 6 - 4
f(x) = x² + 4·x + 4 - 6 - 4 = (x + 2)² - 10
f(x) = (x + 2)² - 10
By comparison with (x + m)² + n, we have;
m = 2, and n = -10
Matt is going to see a hockey game. His ticket cost $25 plus he will pay $3 per food or drink item that he buys from the concession while there.
dont know what im supposed to answer but here:
if u want to find out how much it will cost just use this simple expression
(x=each food/drink item)
25+3x
Solve the inequality of x - 4< -3
Answer:
x < 1
Step-by-step explanation:
x - 4 < -3
x < 1
Answer:
x < 1 in inequality form :)
Explanation:
x - 4 < -3
x < 1
Cual es el volumen del concreto que necesitamos para construir cuatro columnas circulares si el diámetro de cada una es de 50 cms y la altura y la altura son 3,5(la respuesta en ms)
Answer:
27488.92 cm³
Step-by-step explanation:
El volumen de concentre para columna circular = área de superficie del círculo × altura de la columna.
= πr² × h
Dado que:
diámetro = 50 cm
height = d/2 = 50 cm / 2 = 25 cm
= 3.5 cm
Entonces:
El volumen de concentre para columna circular = πr² × h
El volumen de concentre para columna circular = π(25)² × 3.5
El volumen de concentre para columna circular = 6872.23 cm³
Para cuatro columnas circulares; el volumen será: = 4 × 6872.23 cm³
= 27488.92 cm³
Can Somebody help me real fast?
Answer:
x= 9
Step-by-step explanation:
7*9= 63
9*3= 27
63+27= 90
In ΔMNO, m = 780 inches, o = 760 inches and ∠O=164°. Find all possible values of ∠M, to the nearest degree.
Answer:
So the answer is both
180 and 328 (but it may or may not show you "not possible, if so, then you got it right)
Step-by-step explanation:
SinA/a= SinB/b
1. SinM/780 = Sin164/760
2. 780sin164/760 = 0.2828909704
3. M = sin^-1 (0.2828909704)= 16.4328229 or 16
Check for possibility
180-16= 164
164 + 16= 180 (not possible)
164 + 164= 328 (not possible)
Answer:
just don't type anything there is no possible answer
Step-by-step explanation:
delta math
coach Henderson had 16 gallons of paint. He used an equal amount of the paint each of 5 days. How many gallons of paint did he use each day?
Answer:
If he used up all 16 gallons of pain after 5 days while using the same amount each day then he used 3.2 Gallons Each Day
Step-by-step explanation:
Answer:
its C.
Step-by-step explanation:
i did it
Fill in the blanks and explain the pattern.
1/2, 1/6, 1/18, 1/54, ___, ___, ____
Answer:
1/2, 1/6, 1/18, 1/54, 1/162, 1/486, 1/1458
You multiply the previous number by 1/3
Step-by-step explanation:
1. Find out weither the pattern is a geometric sequence or an aritmatic sequence. It is a geometric sequence becuse you multiply the last number by 1/3.
Graph the inequality on the awes below
y>-x+3
The line 1 has equation 5x + 6y + 30 = 0. Given
that P is the point (3, -1), find
(i) the coordinates of the point where l crosses the
x-axis,
(ii) the coordinates of the point of intersection
of l with the line x = 2,
(iii) the equation of the line passing through P
and having the same gradient as I,
(iv) the equation of the line passing through P
and having a gradient of 0.
w through the points ACO 3).
Answer:
Step-by-step explanation:
i) the x-intercept is when y=0
5x+6(0)+30=0
5x=-30
x=-6
hence the point is (-6,0)
ii)5(2)+6y+30=0
10+6y+30=0
6y=-40
y=-20/3
hence the point of intersection is (2,-20/3)
iii) y+1=-5/6(x-3)
6y+6=-5x+15
6y+5x=9
iv) y+1=0(x-3)
y=-1
I need the lateral area, total area, and the volume. Would greatly appreciate your help!
la 4gStep-by-step im so weird
1.
Use the graph.
a. Which plant was the tallest at the beginning?
b. Which plant had the greatest rate of change over the 6 weeks?
A. plant 3; plant 3
B. plant 1; plant 3
C. plant 2; plant 2
D. plant 3; plant 1
Answer:
A. plant 3; plant 3
Step-by-step explanation:
Plant 3 was the tallest at the beginning. We know this because it is the plant with the highest recorded height at time = 0.
Plant 1 grew 3.5 inches over 6 weeks.
Plant 2 grew ~ 2.25 inches over 6 weeks.
Plant 3 grew 4 inches over 6 weeks.
> This means that plant 3 grew the most, or had the greatest rate of change, over the 6 weeks.
Given the sequence: 8, 4, 0, -4,-8, -12, ...
Answer:
It is subtracting 4 each time, if it were to go on it would go -16 -20 -24 -28 -32 -36 -40 -44 -48 -52 etc
Step-by-step explanation:
A building has 816 feet tall and it has 102 floors, each floor is the same height. How tall is each floor?
Answer:
8 feet tall
Step-by-step explanation:
Divide 816 by 102 to get 8 feet.
Answer:
The hight of each floor is 8(ft).
Step-by-step explanation:
If you divide 816(ft) by 102 floors you will get 8(ft) making each floor 8(ft) because the building's hight divided by the floors would make an amount of the hight of each floor.
Give the digits in the thousands place and the tens place. 7195
Answer:
the digits in the thousands place is 7
and the digits in the tens place is 9
3/7+2/7
I'll mark brainless
Answer:
5/7
Step-by-step explanation:
cause yeah
Answer:
0.714285714286
Step-by-step explanation:
3/7+2/7 = 0.714285714286
A bicycle tire makes 40 full revolutions while traveling where Scott is standing to where Steve is standing. If a tire has a diameter of 20 inches what is the approximate distance between where Steve is standing?
Answer:
2513.27 inches
Step-by-step explanation:
Given that:
Diameter = 20 inches
Number of revolutions = 40
For a complete revolution :
Distance traveled = Circumference = 2πr
2 * π * 20/2 = 62.831853 inches
Distance per revolution * number of revolutions
62.831853 * 40
= 2513.2741 inches
= 2513.27 inches
benny sold half of his comic books and then bought 6 more. he now has 14. how many did he begin with?
Answer:
Benny started off with 16 comic books.
Step-by-step explanation:
x/2 + 6 = 14
solve
x/2 + 6 = 14
-6 -6
x/2 = 8
multiply by 2
x = 16
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
In ΔUVW, u = 380 cm, ∠W=89° and ∠U=33°. Find the length of w, to the nearest 10th of a centimeter.
Change 4/5 to a decimal
Answer:
0.8 because 4 divides by 5 is 0.8
Answer:
here we need to devide
4÷5=0.8
so
4/5=0.8
The graphs below have the same shape. What is the equation of the blue graph? (apologies for bad quality)
Answer:
The blue graph is translated 3 units to the left and two down, so the new equation would be g(x)=(x-3)^2-2
20 points!~ And thanks if you help me.
Answer:
A : w+6=32 |-6
w=26
B:w-6=32 |+6
w=38
Answer:
The other person is correct
Step-by-step explanation:
Because I said so
A man is parasailing on a lake. The rope he is holding is 150 feet long and he is 45 feet above the water. What is the horizontal distance between the man and the boat? Round your answer to the nearest tenth.
9514 1404 393
Answer:
143.1 ft
Step-by-step explanation:
Assuming the rope is tied to the boat, and that the geometry can be modeled by a right triangle, the Pythagorean theorem is helpful.
150² = 45² + d²
d = √(150² -45²) = √20475 ≈ 143.1 . . . . feet
The horizontal distance between the man and the boat is about 143.1 feet.
Section 1
Watson wrote an inequality on the board.
x + 10 < 21
Which value(s) make(s) the inequality true?
Select ALL that apply.
which one fills in x
Answer:
x<11
Step-by-step explanation:
x+10<21
-10 -10
x<11
Give the coordinates of the point obtained from each reflection.
Reflect the point (8,-7) across the x-axis:
Reflect the point (8,-7) across the y-axis:
Angela took 56 minutes to take her history test. Bryan took 70% of the time that it took Angela to complete the test. How long did it take Bryan to take his history test?