A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the ywo fish tanks have the same amount of water?
Answer:
40! Seconds
Step-by-step explanation:
Calculation for After how many seconds will the two fish tanks have the same amount of water
First step
Based on the information given let the equation be :
150-1/2x=120+1/4x
Second step
Now let solve for x which means that x will be the number of second by multiplying both side by 4
4(150-1/2x)=4(120+1/4x)
=600-2x=480+x
Third step
Let Add 2x on both side
600=480+3x
Third step
Let Subtract 480 on both side
600-480=480-480+3x
120=3x
Last step is to divide both side by 3
120/3=3x/3
40=x
Hence:
x=40 seconds
Therefore After 40 seconds the two fish tanks will have the same amount of water.
Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4
Answer:
C
Step-by-step explanation:
Write the equation of a line that passes through (2, 4) with a slope of 2.
Answer:
y=2x is it I think because the y intercept is the origin
Solving linear equation study island
Answer:
Step-by-step explanation:
(x-9)/5))(5) = 2(5)
answer is B
i really need help i’m going to fail so answer if you can ! <3
The commission of a sales representative can be modeled by C(x) = 4x -
10, where x is the number of items sold. If the sales representative sales 30
items, how much commission will they earn? *
options:
$20
$5
$120
$110
Answer:
110
Step-by-step explanation:
you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110
Four out of six dogs weigh less than 50 pounds. What is the decimal equivalent for the number of dogs weighing under 50 pounds?
Answer:
0.667
Step-by-step explanation:
Help me please it’s almost due
Answer: A
Step-by-step explanation:
1/3 ( 12 + 3 × 6 ) - 5
Answer:
5
Step-by-step explanation:
Pemdas you do the 3x6 first then add the twelve. you would be at 30 1/3 of that is 10 then you subtract the 5
El 1% de las videocámaras vendidas por la Phil´s Photo Shop, tiene un defecto en su estuche. Se seleccionan al azar cuatro estuches de lo vendido recientemente. Encuentre la probabilidad de que exactamente uno esté defectuoso
9514 1404 393
Answer:
3.88%
Step-by-step explanation:
The probability that 1 is defective and 3 are not (out of four) is ...
P(1 of 4) = 4(0.01)(0.99)^3 ≈ 0.0388 = 3.88%
__
The multiplier of 4 comes from the number of ways that 1 can be chosen from 4.
ASAp question in pic
Answer:
B and E
Step-by-step explanation:
They have different slopes so of course they will have to intersect at least 1 time. And if they were curved, it would be more than 1. But these are lines so it would be just 1 intersection. So B is one of the answers.
The solutions of the system are x = 0 and y = 2
I hope this helped, please mark me brainliest!
Step-by-step explanation:
y = 2x + 2 and y = 6x + 2
=> 2x + 2 = 6x + 2
=> 2x = 6x
=> 4x = 0, x = 0.
Therefore y = 2(0) + 2 = 2.
The point of intersection is (0, 2).
Hence there is exactly 1 point of intersection and exactly 1 real solution. (B and E)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JJ
Answer:
its
Step-by-step explanation:
i cant explane
A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
9514 1404 393
Answer:
reasonable range: 0 ≤ y ≤ 5.5
Step-by-step explanation:
Unless the balloons are being launched from a building or the edge of a cliff, we generally expect f(x) ≥ 0. This limits the "reasonable range" to ...
0 ≤ y ≤ 5.5
Which expression is equivalent to 1/4 - 3/4x
Answer:
-3/4x + 1/4
Step-by-step explanation:
Which answer includes the intrevals that contain the solution to the inequality x^2-1/3x+9<0
Answer:
x<±1 and x< -3
Step-by-step explanation:
Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality
x^2-1/3x+9<0
x^2-1/3x+9 (3x+9)²<0* (3x+9)²
(x^2-1)(3x+9) < 0
x²-1 < 0 and 3x + 9 <0
x²-1 < 0
x²<1
x<±√1
x<±1
Also 3x + 9 <0
3x < -9
x < -9/3
x < -3
Hence the required values of x are x<±1 and x< -3
The vertices of a parallelogram ABCD are A(2,0) B(0,-3)C(3,-3) and D(5,0) if ABCD is reflected over the x-axis how many vertices will remain the same
Answer: 2 vertices
The two vertices in question are (2,0) and (5,0). These are points A and D. These two points are on the x axis, which is the line of reflection. Any point on a line of reflection does not move.
The points (0,-3) and (3,-3) are not on the line of reflection, so they do move and are reflected to another location. Refer to the diagram below.
The daily supply of oxygen for a particular multicellular organism is provided by 625 square feet of lawn. A total of 8750 square feet of lawn would provide the daily supplies of oxygen for how many organisms
Answer:
multicellular organisms = 14
Step-by-step explanation:
given data
multicellular organism = 625 sq feet
total = 8750 sq feet
solution
we will gethere
as we know that 1 multicellular organism = 625 sq feet
so
we get here multicellular organisms that is
multicellular organisms = ( 8750 ×1 ) ÷ 625
multicellular organisms = 14
Sebastian bought snacks for his team': practice. He bought a bag of popcorn for $1.68 and a 15-pack of juice bottles. The total cost before tax was $21.78. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Answer:
Each bottle of juice costs $1.34.
Step-by-step explanation:
From the information given, the equation would indicate that the total cost is equal to the price per bag of popcorn for the number of bags plus the price per pack of juice bottles for the number of packs.
Total cost=(1.68*1)+15x
Total cost=1.68+15x
Now, you can replace the total cost with $21.78 and solve for x:
21.78=1.68+15x
21.78-1.68=15x
20.1=15x
x=20.1/15
x=1.34
According to this, the answer is that each bottle of juice costs $1.34.
Answer: $1.25
Step-by-step explanation:
The radius of a circle is represented by the expression x+3. Express the circumferend terms of x
Answer:
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Step-by-step explanation:
Given that
Radius = r =x+3
The circumference of a circle is the distance around boundary of the circle.
The circumference of circle is given by the formula.
[tex]C = 2\pi r[/tex]
Putting the value of r, we get
[tex]C = 2\pi (x+3)\\C = 2\pi x+6\pi[/tex]
Hence,
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Question Number 2 of 40 - Algebra II
A polynomial function has zeros -3 and 4. Which is one of the factors of the polynomial?
Basically, the teacher wants a math equation story but I can't think of one.
Answer:
For one hour Luke biked uphill 3 miles. After biking 3 miles uphill for one hour Luke stopped at the store for 2 hours.
Step-by-step explanation:
Solve for x. 85+5x-10=11x+3
4. Kiran says "If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me,
it's the same as if you stay put and I jog 6.4 miles per hour.” What do you think Kiran means
by this? Is he correct?
Answer:
0.0000000000000000..00000000000000000000000
Step-by-step explanation:
Find the y-intercept of the graph
Answer:
The y intercept is zero
Step-by-step explanation:
1. In the table below, y varies inversely as x.
Х
2
4
m
y
18
9
3
What is the value of m? Be sure to use the correct place value.
Answer:
6
Step-by-step explanation:
I think this is the answer but I'm not sure
The manager of an accounting department wants to form a two
person advisory committee from the 18 employees in the department. In how many ways can the manager do this? Pls show work.
Answer: 153
Step-by-step explanation:
When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:
[tex]C (N, K) = \frac{N!}{(N-k)!*K!}[/tex]
Where N! = N*(N - 1)*(N - 2)*...*2*1
In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).
Using the above equation we get:
[tex]C(18, 2) = \frac{18!}{(18 - 2)!*2!} = \frac{18!}{16!*2!} = \frac{18*17}{2} = 9*17 = 153[/tex]
There are 153 different ways in which the manager can do this.
nandu06 I need help with these word problems, there's 2 btw.
Answer:
thats all hope u got it
Step-by-step explanation:
pls do mark be the brainliest.
In which point of the graph is the water increasing?
Answer:
2
Step-by-step explanation:
A car is traveling at a rate of 35 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 3 hours? Do not round your answers.
Answer:
126 km/h
378 km
Step-by-step explanation:
To convert m/s into km/h, we multiply it by 3.6.
35 m/s x 3.6 = 126 km/h.
Distance travelled in 3 hours = 126 x 3 km = 378 km.
4. What is of 2107what is 2 fifths of 210
Answer:
points I want ... use of this communication
Who this also ?? Help please :)
Answer:
Step-by-step explanation:
b
b
lol
hope this helps <3
Answer:
in y=mx + b, b is the y intercept. Sp answer choice d.