Answer:
44
Step-by-step explanation:
i did 4 + 40 = 44 :)))))
2x + y = 11
3x - y = 4
Answer:
[tex]x=3,y=5[/tex]Step-by-step explanation:
Add the equations together and solve for x.
[tex](2x + y )+ (3x - y) = 11 + 4[/tex]
[tex]5x=15[/tex]
[tex]x=3[/tex]
Use equation [tex]2x+y=11[/tex] to solve for y.
[tex]2(3) +y=11[/tex]
[tex]6+y=11[/tex]
[tex]y=11-6[/tex]
[tex]y=5[/tex]
Jamal wants to install a rectangular 2025 cm² window in his garden shed. That area of window comes in several length/width combinations, and he wants to minimize the perimeter to prevent drafts. What is the least perimeter possible for the window?
Answer:
The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.
Step-by-step explanation:
The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.
The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero. Let's do it:
So first the area:
2025 = wl
l = 2025 / w
Now the sides:
[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]
Then we can take its derivative with respect to w
[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]
Now we can set the derivative to zero, and solve for w:
[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]
So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.
reduce to the simplest form[tex]\frac{286}{858}[/tex]
Answer:
143 over 428
Step-by-step explanation:
Find the slope of the line that passes through the points (1,-4) and (3,-1).
Answer:
(2,3)
Step-by-step explanation:
you go up 3 and forward 2 so it would be positive positive.
The weight of a baby dog on day one is 5 kilograms. Every day, the dog grows an additional 0.1 kilograms. How heavy the dog is after 10 days?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The weight of the dog after 10 days is 5.9 kg.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Weight of the baby on day one = 5 kg
This can be written as,
1 day = 5 kg
The dog grows 0.1 kg each day.
This means,
On the 2nd day, we get,
2 days = 5 + 0.1
2 days = 5.1 kg
The expression for the weight of the dog on n days can be written as,
n days = 5 + (n -1) x 0.1 _____(1)
Now,
After 10 days we get,
n = 10
From (1) we get,
10 days = 5 + (10 - 1) x 0.1
10 days = 5 + 9 x 0.1
10 days = 5 + 0.9
10 days = 5.9 kg
Thus,
The weight of the dog after 10 days is 5.9 kg.
Learn more about unit rates here:
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Which type of function is shown in the table below.
Answer:
it is a not a function
Step-by-step explanation:
if you times 51 that's a hundred
simple 9th grade math
Answer:
-1078
Step-by-step explanation:
To find the nth term in an arithmetic sequence we use the following formula
aₙ=a₁+(n-1)*d
Where a₁ is the first time, and d is the common difference (in this case -20)
So we have
2+(55-1)*-20
2+(54)*-20
2-1080
-1078
Solve the system.... 2y+8x+58 and y-5x=11
Answer:
x=2, y=21
Step-by-step explanation:
there are two methods: substiution and elimation. I will be doing subtistution in this soultion:
first isolate y in either equation, it would be easier to do it in the second one.
y= 11+5x
Then, subtitute that into the first equation
2(11+5x)+8x=58 (it says 2y+8x+58 but I assume you mean 2y+8x=58?)
22+10x+8x=58
18x = 36
x=2
substitute that back into y = 11+5x, to get y=11+10 = 21
slove for y . 3x+2y=-6
Answer:
y = -(6+3x)/2
Step-by-step explanation:
♪\(*^▽^*)/\(*^▽^*)/
Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 360 miles. Approximately what is the length in centimeters of the Mississippi River on the map?
50 points to who ever answer it corectly
Answer:
15 cm on the map
Step-by-step explanation:
360/120=3
5*3=15
hope this helps :)
what is the slope of the form of (1,2) m= -2
Answer:
m = -2
Step-by-step explanation:
slope is m in y = mx + b
You already said what m is
How big is it? I need to know like fr
Answer:
10 in
Step-by-step explanation:
Answer:
i got a 6 inch it ain't that small
hello My name es Liliana y arigato bye
Answer:
?????.... hii erica herrrr
Answer:
Hi Liliana i love your name! it's very pretty:) my name is Melody
Step-by-step explanation:
Solve the simultaneous equations
8x + 3y = 45
2x + 3y = 27
x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.
What are linear equations?A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).
To solve the simultaneous equations:
8x + 3y = 45 ...(1)
2x + 3y = 27 ...(2)
By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:
(8x + 3y) - (2x + 3y) = 45 - 27
6x = 18
x = 3
In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):
8x + 3y = 45
8(3) + 3y = 45
24 + 3y = 45
3y = 45 - 24
3y = 21
y = 7
Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.
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What hazard is present in this image?
Select the best option.
A mat that has upturned edges
Hair clippings on the floor
Tool cord left out
Spills on floor
Answer:
spills on the floor
Step-by-step explanation:
there is liquid of some sort someone could slip and hurt themselves. hope this helps
HURRY
1/12 is the same as 1÷12. What is the exact quotient in decimal form of 1÷12?
Answer: Yes 1/12 is the same as 1 ÷ 12
decimal form is 0.083333333333333333(3 is repeating)
Step-by-step explanation:
Answer:
0.08333333333
Step-by-step explanation: since i helped can i have brainlist please :D
Determine the intercepts of the line x-intercept
Answer:
I dont know if you meant where it intercepts the x line or y line so for the x line it intercepts at -7.5 but for y line it intercepts at 5.5
What is the complement of 45?
Answer:
45°
Step-by-step explanation:
If sum of two angles is 90° , then they are called complementary angles.
Complement of 45 = 90 - 45 = 45
please solve for b
a=b/c
Answer:
b = ac
Step-by-step explanation:
Solve for b by simplifying both sides of the equation, then isolating the variable.
Answer:
b= ac
Solve for b by simplifying both sides of the equation, then isolating the variable.
The stock of Company A gained 5% today to $54.60. What was the opening price of
the stock in the beginning of the day?
Answer: $51.85
Step-by-step explanation:
To find the answer, you would divide $54.60 by 100. You do that to figure out the amount of money for 1%. Then you multiply 5 to figure out 5%. Lastly, you would subtract the answer by $54.60 since your finding out how much it was at the beginning of the day. Equation: $54.60 ÷100= $.546 x 5= 2.73. 54.60- 2.75 =51.85
$51.85
To find the answer, you would divide $54.60 by 100. You do that to figure out the amount of money of 1%
Then you multiply 5 to figure out 5%. Subtract the answer by $54.60 since your finding out how much it was at the beginning of the day.
Equation: $54.60 ÷100= $.546 x 5= 2.73. 54.60- 2.75 =51.85.
Final result: $51.85
Guys help I’ve been trying to solve this problem for the past 40 minutes.
Answer:
56 degrees since you set the two equations equal to each other and then plug the value of p (which is 11) back in to find the answer.
The. Ordered pair?
Is this a function yes or no?
pls dont say random stuff to get points
Answer:
C) 3 1/4
Step-by-step explanation:
Which function represents the graph of y = 3(1/2)^x
а
b
с
d
Answer: b
Step-by-step explanation:
Help pleas brainliest promise
Answer:
1) 13
2) 1
Step-by-step explanation:
1) you add the e amount of people that went to the store 3 and 5 times because those are all more than 2.
2) 1 has the lowest number on the amount of landings.
can someone please help me?
need help plz help me
Answer:
The last one t/5-6=-3
Step-by-step explanation:
All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!
I hope this helps and have a great day!
Which of the following values are solutions to the inequality - 8 - 3x > 2?
I. – 2
II. – 12
III. 5
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
X< -10/3
Interval Notation:
(-∞, - 10/3)
Hope this is right :)
I’m sorry if I keep asking question im not smart but what the answer to both of them thank you
687.68 divided by 0.7
Answer:
784.14
Step-by-step explanation:
Answer:
982.4
Step-by-step explanation:
Please Brainiest It will help me get to my quest!!??!?!