Answer:
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
Step-by-step explanation:
The number of bags of Grow Rite brand = x
The number of bags of Great Green brand = y
The equation is given as:
4x + 7y = 308....... Equation 1
5x + 6y = 330....... Equation 2
Using Elimination method.
Multiply Equation 2 by the coefficient of x in Equation 1 and Multiply Equation 1 by the coefficient of x in Equation 2
4x + 7y = 308....... Equation 1 × 5
5x + 6y = 330....... Equation 2 × 4
20x + 35y = 1540..... Equation 3
20x + 24y = 1320....... Equation 4
Subtract Equation 3 from Equation 4
11y = 220
y = 220/11
y = 20 bags
4x + 7y = 308....... Equation 1
4x + 7(20) = 308
4x + 140 = 308
4x = 308 - 140
4x = 168
x = 168/4
x = 42 bags
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 4 minutes. When taking off, the run time of an airplane on the runway is 24 seconds. Planes are on average waiting 5 minutes and 54 seconds for take-off. On average there are 12 planes taking off per hour. How many planes are either on the runway or waiting to take off?
Answer:
1 plane either on the runway or waiting to take off
Step-by-step explanation:
We are given;
Frequency of take off = 12 planes per hour = 12/60 = 0.2 planes per minute
Waiting time on runway = 5 minutes 54 seconds = 5.9 minutes
Run time on runway = 24 seconds = 24/60 minutes = 0.4 minutes
To solve this question, we will use Little's law which is given by the formula;
System inventory = rate of flow × throughput time
Now, rate of flow is the same as Frequency of take off.
Thus, rate of flow = 0.2 planes per minute
Throughput time = Waiting time on runway + Run time on runway
Thus;
Throughput time = 5.9 minutes + 0.4 minutes
Throughput time = 6.3 minutes
Thus;
System inventory = 0.2 × 6.3 = 1.26 planes
Thus is approximately 1 plane.
Solve G(x) for the given domain. Include all of your work in your final answer. Submit your solution.
G(x) = 3x 2 - 2x - 1
G(a + b) =
Answer: 3a^2+6ab+3b^2-2a-2b-1
Step-by-step explanation:
For G(x), we must plug in (a+b) into G(x):
G(a+b) = 3(a+b)^2-2(a+b)-1
= 3(a+b)(a+b)-2(a+b)-1
= factor: 3(a^2+ab+ab+b^2)- (2a+2b)-1
= multiply: 3a^2+3ab+3ab+3b^2-(2a+2b)-1
= now factor the last part: 3a^2+3ab+3ab+3b^2-2a-2b-1
= add/subtract: 3a^2+6ab+3b^2-2a-2b-1
Answer: 3a^2+6ab+3b^2-2a-2b-1
Answer:
Answer: 3a^2+6ab+3b^2-2a-2b-1
Step-by-step explanation:
For G(x), we must plug in (a+b) into G(x):
G(a+b) = 3(a+b)^2-2(a+b)-1
= 3(a+b)(a+b)-2(a+b)-1
= factor: 3(a^2+ab+ab+b^2)- (2a+2b)-1
= multiply: 3a^2+3ab+3ab+3b^2-(2a+2b)-1
= now factor the last part: 3a^2+3ab+3ab+3b^2-2a-2b-1
= add/subtract: 3a^2+6ab+3b^2-2a-2b-1
Answer: 3a^2+6ab+3b^2-2a-2b-1
Step-by-step explanation:
4. T-Bone's Math teacher requires 6 book
reports the 1st semester. T-Bone has 4
more reports to complete. How many
book reports has T-Bone already
finished?
x - 4 = 6
x + 4 = 6
Answer:
2
Step-by-step explanation:
6-4=2
Select the correct answer from each drop-down menu.
This image may be the result of the .
If m∠RQS is 75°, then m∠TPU is °. Select the correct answer from each drop-down menu.
Answer:
- construction of a line parallel to line AB through point P
∠TPU is 75°
Step-by-step explanation:
For Plato users
The image may be the result of the construction of a line parallel to line AB through point P
∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°
Answer:
below
Step-by-step explanation:
Got it right
Given h(x) = 5x - 3. Find h(a + 1).
Given h(x}
Answer:
5a + 2
Step-by-step explanation:
To find h(a + 1), substitute x = a + 1 into h(x), that is
h(a + 1) = 5(a + 1) - 3
= 5a + 5 - 3
= 5a + 2
Which of the following ratios is not 4:9
8 : 18
12 : 36
20 : 45
16 : 36
Answer:
I think 12 : 36 I not so sure though
(19 x 10 ^5)- (5 x 10 ^5)
Answer:
1400000
1.4⋅10^6 for science notation ;)
Answer:
1400000x
Step-by-step explanation:
Polynomial factorization topic toh diba?
You bike 11.2 miles in 1.4 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
Answer:17
Step-by-step explanation:
Answer:
Y=8x
Hope this helped
Step-by-step explanation:
2x + y = 12
- 3x + y = 2
f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).
Answer:
(f+g)(x) = 3x - 8 -x -4
(f+g)(x) = 2x-12
(f+g)(5) - substitute 5 into x
(f+g)(5) = 2(5)-12
(f+g)(5) = 10-12
(f+g)(5) = -2
Step-by-step explanation:
“x” means what in math equations? I’m not the best at math :/
Answer:
X is just the variable or missing edge, side, angle .etc that you are looking for
Step-by-step explanation:
PLease help with this question? I also need an explanation on how you got the answer
Answer:
25%
Step-by-step explanation:
1. there are 8 triangles
2. 2 twos
3. 2/8
4. 2/8=25%
PLEASE HELP ME IT'S DUE TODAY IF CORRECT I'LL MAKE BRAINYLIST!!!!
Answer:
A
Step-by-step explanation:
What the solution for x is in 14+x=3a+ab?
Answer: a= x+14 /b+3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplifying
14 + x = 3a + ab
Solving
14 + x = 3a + ab
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + x = 3a + -14 + ab
Combine like terms: 14 + -14 = 0
0 + x = 3a + -14 + ab
x = 3a + -14 + ab
Reorder the terms:
x = -14 + 3a + ab
Simplifying
x = -14 + 3a + ab
A nursery owner buys 9 panes of glass to fix some damage to his greenhouse. The 9 panes cost $22.05 Unfortunately, he breaks 4 more panes while repairing the damage. What is the cost of another 4 panes of glass?
Answer: $9.80
Step-by-step explanation:22.05/9=2.45x4= 9.80
Answer:
$4.30
Step-by-step explanation:
Two panes of glass cost $4.30.
Explanation
First find the cost of one pane of glass (the "unit cost")
7 panes of glass cost
$
15.05
, so one pane of glass costs
15.05
÷7∩
$2.15 ← cost of one pane of glass
Then use that answer to find the cost of two panes of glass
If one pane of glass costs $2.15, then 2 panes cost 2× $2.15 $4.30 ← cost of two panes of glass
Answer:
Two panes of glass cost $4.30.
What is the measure of angle a
Answer:
48
Step-by-step explanation:
42 + 90 = 132
180 - 132 = 48
Find the value of x.
81°
39°
X=??
PLEaSE ILL GIVE YOU BRAINLIEST AND 15 POINTS
Answer:
It's "P"
Step-by-step explanation: Please give me my 15 points
Answer:
X= 60º
Step-by-step explanation:
If you are solving for a ∆, a ∆ has a degree of 180º. This thus when added up gets you.
81º + 39º = 120º
180º - 120º = 60º
Therefore in conclusion, X would be 60º.
can someone help simplify this 6n+5(10n−7)
Answer:
21n-35
Step-by-step explanation:
6n+5(10n-7)
distribute 5
6n+15n-35
add 6 and 15
21n-35
you cant subtract 21 and -35 because they arent like terms
Please help me with this equation. It’s solving systems of equations.
Moving downstream (with the current), the boat moves at a rate of (252 mi)/(12 h) = 21 mph. Upstream (against the current), it moves at a rate of (252 mi)/(84 h) = 3 mph.
When traveling downstream, the boat's speed is the sum of its own speed in still water and the speed of the current. It's the same going upstream, but the boat and current move in opposite directions. Let b and c denote these speeds, respectively. Then
downstream: b + c = 21 mph
upstream: b - c = 3 mph
Adding these equations eliminates c and lets us solve for b :
(b + c) + (b - c) = 21 mph + 3 mph
2b = 24 mph
b = 12 mph
Now solve for c :
12 mph + c = 21 mph
c = 9 mph
I’m not sure what this one is . Can anyone help
Answer
Im not that sure i wish i could help
Step-by-step explanation:
have a good rest of ur day :)
Answer:
105
Step-by-step explanation:
A straight line is worth 180 degrees. Therefore, if you subract the given angle (75) from 180 you will get 105.
180-75=105 degrees.
excavation scientists excavating a dinosaur mapped the site on a coordinate plane. if one bone lies from (-5,8) to (10,-1) and a second bone lies from (-10,-3) to (-5,-6) are the bones parallel ? explain
Answer:
Tengoo
Step-by-step explanation:
Miedo
Create a one step equation using the numbers 4 and 6. One you create the
equation, solve it and find the solution.
Answer:
x=1.5
Step-by-step explanation:
4x=6
6/4=1.5
Given the points below, find
XY
XY
.
X(-9, 2)
X(−9,2)
and
Y(5, -4)
Y(5,−4)
Answer:
XY=(-45,-8)
Step-by-step explanation:
XY=(-9,2)(5,-4)
Which number line shows the graph of 0.3
Answer:
im dumb im sorry but u can look it up
Step-by-step explanation:
Which statements are correct interpretations of this graph?
Select each correct answer. (multiple choice question)
A. 3 boxes are filled every 4 min.
B. 4 boxes are filled every 3 min.
C. 1.3 boxes are filled per minute.
D. 0.75 boxes are filled per minute.
(Graph down below)
Answer:
A
Step-by-step explanation:
[tex]\boxed{~ Hello!\; here's\; your \;answer!}[/tex]
___________________________________________________________
[tex]\huge\boxed{A.}[/tex]
___________________________________________________________
A's Explanation...
The first point given is at 3 and 4. 3 is at "Boxes Filled" While 4 is at "Time (Min)". Therefore, your answer is A, 3 boxes are filled every 4 min.
___________________________________________________________
[tex]\boxed{Hope\;I\;helped!}\\\\\\\boxed{May\;I\;Have\;Brainliest?}\\\\\\\\\huge\boxed{Thanks,\;Plip.}[/tex]
___________________________________________________________
BRAINLIEST PLEASE JELP
What is the slope of a line perpendicular to the given line?
Answer:
4
Step-by-step explanation:
The perpendicular slope means opposite reciprocal
opposite: 1/4
reciprocal: 4
Answer:
The slope is undefined
Step-by-step explanation:
Rate me please
. What is the 11th term of the geometric sequence {1,000,000; 100,000; 10,000; …}?
f(x) = 3x - 5 and g(x) = 5x + 8. Find 3g(x) - 2f(x).
Answer:
9x + 34
Step-by-step explanation:
3g(x) - 2f(x); f(x) = 3x - 5 & g(x) = 5x + 8.
3(5x + 8) + - 2(3x - 5) (Plug g(x) & f(x) into equation)
15x + 24 + - 6x + 10 (Use distributive property)
9x + 34 (Combine like terms) - This is as much as it can be simplified.
HELP pleasee and ty to whoever does!!
What is the pattern as the exponents decrease?