The plans are illustrations of system of linear equations
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Let A represent plan A, and B represents plan B
On Monday, we have:
4A + 8B = 9
On Tuesday, we have:
2A + 3B = 4
Multiply the second equation by 2
2 * (2A + 3B = 4)
4A + 6B = 8
Subtract this equation from the first equation.
So, we have:
4A - 4A + 8B - 6B = 9 - 8
3B = 1
Divide both sides by 3
[tex]\mathbf{B = \frac 13}[/tex]
Substitute 1/3 for B in 2A + 3B = 4
[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]
2A + 1 = 4
Subtract 1 from both sides
2A = 3
Divide both sides by 2
[tex]\mathbf{A = 1\frac 12}[/tex]
This means that:
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Read more about linear equations at:
https://brainly.com/question/11897796
12x+3=6 4x+1=2
what is happening in this step of the equation solving process?
Step-by-step explanation:
12x=6-3
12x=3
12x/12=3/12
x=1/4
4x+1=2
4x=2-1
4x=1
4x/4=14
x=1/4
I you have great day
Dave throws sweets upwards at a speed of 8ms^-1 from a first floor window to his sister Carol who is standing at a second floor window 3m directly above Dave. Carol misses catching the sweet as it passes her hand on the way up, but catches it on the way down. Calculate the time it takes for Carol to catch the sweet after Dave has thrown it.
It would take [tex]1 second[/tex] for Carol to catch the sweet after Dave threw it.
Let
[tex]h=\text{maximum height}\\y=\text{distance from maximum height to Carol}\\t_h=\text{time taken to reach maximum height}\\t_y=\text{time taken to fall from maximum height to Carol}[/tex]
we want to calculate the value [tex]t_h+t_y[/tex]
First, we have to calculate [tex]t_h[/tex] using the formula
[tex]v=u+at[/tex]
using [tex]v=0[/tex], [tex]u=8[/tex], [tex]a=-10[/tex] (the sweets are decelerating due to gravity!)
[tex]0=8-(10)t_h\\10t_h=8\\t_h=\frac{8}{10}=0.8seconds[/tex]
To calculate [tex]t_y[/tex], first calculate [tex]h[/tex], then [tex]y[/tex]. Using the formula
[tex]h=ut+\frac{1}{2}at^2[/tex]
and the values [tex]u=8[/tex], [tex]t=t_h=0.8[/tex], [tex]a=-10[/tex] (again, the sweets are decelerating to get to maximum height)
[tex]h=(8)(0.8)+\frac{1}{2}(-10)(0.8)^2\\\\=6.4-3.2\\=3.2m[/tex]
since, Carol is standing [tex]3m[/tex] above Dave, we have the relationship
[tex]h=y+3[/tex]
so that
[tex]y=h-3\\=3.2-3\\=0.2m[/tex]
we can now calculate [tex]t_y[/tex];
[tex]y=ut_y+\frac{1}{2}gt_y^2[/tex]
taking [tex]y=0.2[/tex], [tex]u=0[/tex], [tex]g=10[/tex] (the sweets are falling, so they are now accelerating)
[tex]0.2=(0)t_y+\frac{1}{2}(10)t_y^2\\\\0.2=5t_y^2\\t_y^2=0.04\\\implies t_y=0.2seconds[/tex]
So it would take
[tex]t_h+t_y=0.8+0.2=1.0seconds[/tex]
for Carol to catch the sweet after Dave threw it from the first floor.
Learn more here: https://brainly.com/question/84352
ANSWER PROPERLY FOR BRAINLIEST OR ELSE I REPORT
Answer:
A: 0.3
B: 0.3
Step-by-step explanation:
Basically both answers are the same
When deriving the Quadratic Formula, we start with the general equation for a quadratic:
Answer:
Step-by-step explanation:
c sssIf you use front-end estimation, which is the best choice for 102.3 divided by 23.8?
o A. 3
o B. 4
o C. 5
o D. 6
Answer: Answer is B
Step-by-step explanation:
102.3 divided by 23.8 = 4.30 = 4
What is the name given to this shaded region
Answer:
The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.
PLEASE HELP RLLY NEED ANSWER
Angle A and angle B are supplementary. The measure of angle B is 82.5.
What is the measure of angle A, in degrees?
Enter your answer as a decimal, if necessary, like this: 42.5
Answer:
97.5
Step-by-step explanation:
Supplementary means the angles add up to 180°
So,
m∠A = 180 - m∠B
m∠A = 180 - 82.5
m∠A = 97.5
pls help, algebra 1
Answer:
20, 35, 50
Step-by-step explanation:
The length of perpendicular drawn from the opposite vertex to any side is a) altitude b) median c) perpendicular d) angle bisector
Answer:
Step-by-step explanation:
Altitude or height
Answer
It is known as altitude
There are three such altitudes and the point of intersection of these altitudes
is called as orthocentre
someone please help me
Identify the solution for the system of equations graphed here.
A) (1,1)
B) (-1,1)
C) (1,-1)
D) (-1, -1)
Answer:
c) (1,-1)
Step-by-step explanation:
I hope this helps
Jill cut 26 apples today. 12 of those apples were red. The rest were green. What is the ratio of red to green apples?
Answer:
7 : 6 is the ratio
Step-by-step explanation:
14 apples were green and 12 apples were red, so divide both terms by 2.
14 ÷ 2 = 7
12 ÷ 2 = 6
Therefore:
14 : 12 = 7 : 6.
8. Makayla and Haylee are selling oranges for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Haylee sold 6 small boxes and 12 large boxes for a total of $330. Makayla sold 12 small boxes and 4 large boxes for a total of $280. a. Write a system of equations that gives the cost of one small box of oranges and one large box of oranges.
b. Find the cost of a small box of oranges and the cost of a large box of oranges
Answer:
x = 55 - 2y
y = 70 - 3x
x = 17
y = 19
Step-by-step explanation:
let x = small box
y = large box
6x + 12y = 330
12x + 4y = 280
6x + 12y = 330
6x = 330 -12y
6x/6 = (330-12y)/6
x = 55 - 2y
12x + 4y = 280
4y = 280 -12x
4y/4 = (280 -12x)/4
y = 70 - 3x
small box cost:
x = 55 - 2y
x = 55 - 2(70-3x)
x = 55 -140 + 6x
x - 6x = -85
-5x = -85
x = 17
large box
y = 70 - 3x
y = 70 - 3(17)
y = 70 - 51
y = 19
Pls help ASAPI don’t understand can you show steps too pls
Answer:
x = -2 , y = -1
(-2,-1)
Work out the midpoint A of the line segment B, where A(3,10) and B(5.8).
Answer:
Midpoint of (3,10) & (5,8) is (4,9)
50 POINTS!!
Mr. reed and Mr. Bob are conducting a sensitive physics experiment and are standing
on a coordinate grid. They need to place a motion sensor exactly halfway between
them. If Mr. To is standing at coordinates (–7, 3), and Mr. Syal is standing at (5, -5),
where should the motion sensor be placed?
Answer:
(-1,-1) I think
6. You roll a 6 sided die and flip a coin. What is the
probability of rolling a number less than 5 one the die
and flipping tails on the coin?
Answer:
for the die it's a 4 to 6 chance and the coin is a 50% chance
Segment GT is a median of triangle FGE. Find the length of segment FE if TE=8.
Answer:
D) 16
Step-by-step explanation:
TE=8
TE is half of FE, meaning that FE is equal to double TE.
8x2=16
Hope this helps :)
What is m
A) 34
B) 56
C) 60
D) 62
E) 124
Answer:
Since it is symmetrical, the angles will be the same on both sides.
So EFG = 56*
And 180* - 56* = 124*
And 124* / 2 = 62*
So m<FEG = 62*
Answer:
D- 62
Step-by-step explanation:
The population mean for a college Introduction to Biology quiz is 15 points. A sample of 45 high school seniors earns an average of 18.54 points. A 90% confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1
Answer:
C) Reject null, because 15 is not in the interval.
Step-by-step explanation:
Find the slope for the table.
Answer:
2
Step-by-step explanation:
as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2
7075806785463087580370x98437532794395798243757934
Answer:
6.9652496e+47
Step-by-step explanation:
Answer:
use calculator to solve this equation
any help plz ??? thx in advance you'll get brainliest
Answer:
For (a)
Well let “x” be amount of sales
And let ”y” be total pay
so 1200 is the base pay/ weekly
And a 5 percent commission on amount of sales
5 percent can be written as 0.05
Now we can make an equation
1200+0.05x = Y
So that would be your equation
Now for (b)
If she sold 10,000 that week as commission we can just plug it into our equation
1200+0.05(10,000)=y
Now solve
5 percent of 10,000 is 500 dollars.
Now 1200+500=1700
(b) is 1700 earned that week
Now for (c)
We want to know How much should be sold in order for a 3000 income. We’re finding amount of sells.
So same equation
1200+0.05x=3000
x=36,000 have to be solve in order to make 3,000 income Per week.
PLZ HELPP I NEED THIS ASAP ROUND TK THE NEAREST TENTH HELP ASAP GIVING BRAINLEST
Answer:
3.9
Step-by-step explanation:
!!NEED ASAP!!
The London Eye is Europe's
largest Ferris wheel with a
diameter of 120 meters. It takes
30 minutes for the wheel to make
one full rotation. If the wheel is
running continuously, how far will
a passenger travel in 40 minutes?
Round your answer to
the nearest tenth.
Diameter = 120m
Circumference = (120 · π) m
(40 min) / (30 min/rotation) = 4/3 rotation
Passenger travel = (4/3) · (120π) = 160π meters = 502.7 meters
An automatic doughnut machine can produce 1500 doughnuts in 9 hours.
How long would it take the machine to make 300 doughnuts?
Answer:
1 hr, 48 minutes
Step-by-step explanation:
you can create a proportion:
doughnuts/hours = doughnut/hours (h)
1500/9 = 300/h
cross-multiply to get:
1500h = 2700
h = 27/15
h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60
Y=-3(x-4)+3x
Find f(-1)
Can someone solve and explain please? No Bots No Links.
Answer:
12
Step-by-step explanation:
while f(x) = f(-1) then we can solve the equation
Y=-3(x-4)+3x
f(x)=-3(x-4)+3x
f(-1)=-3(x-4)+3x
=-3((-1)-4)+3(-1) = 12
Y=12
I am Stuck on this Math Question on Angles
So there is this math question im stuck on and I was wondering how to solve it and the answer for this problem
The problem consists of two parralel lines and a triangle but there are exterior angles im trying to find the angle of but I simply cannot
I will provide a picture for you guys to see
Thank you and have a good day :)
Simplfy the answer t-4t2/t2
Answer:
t - 16
Step-by-step explanation:
Hope this helps!! :))
Find the number that makes the ratio equivalent to 99:66
:6
Answer:
9
Step-by-step explanation:
99 : 66 ( divide both parts by 11 )
= 9 : 6