Answer:
The equation is: y=25x
Step-by-step explanation:
Linear Modeling
When two variables have a linear dependency, the relationship between them can be written as:
y=kx+b
Where k is the slope and b is the y-intercept. When b=0, then the relationship is called proportional, and the equation is:
y=k.x
For the question, we call y=grams of almond and x=cups of oats.
It's given for x=cups of oats, the recipe for trail mix calls for y=50 grams of almonds. Substituting into the equation:
50=k.2
Solving for k:
k=50/2=25
The final equation is:
y=25x
Note the point (1,25) is on the line, as required.
3/4x + 11 - 5 1/2 + 1/4x
[tex] \frac{3}{4} x + 11 - 5 \frac{1}{2} + \frac{1}{4} x[/tex]
[tex]( \frac{3}{4} x + \frac{1}{4} x) + (11 - 5 \frac{1}{2} )[/tex]
[tex] (\frac{3x}{4} + \frac{x}{4} ) + (11 + - \frac{11}{2} )[/tex]
[tex]( \frac{(3x + x)}{4} ) + ( \frac{22}{2} - \frac{11}{2} )[/tex]
[tex] \ \frac{4x}{4} + \frac{11}{2} [/tex]
[tex]x + \frac{11}{2} [/tex]
Evaluate the function f(x) = -3x when x = -1
For 4-6, determine whether the three numbers could be the lengths of the sides of a
triangle.
4. 4, 8, 11
5. 6, 12,5
6. 13, 13, 26
Answer:
4. 4, 8, 11 could be the lengths of the sides of a triangle
5. 6, 12, 5 could not be the lengths of the sides of a triangle
6. 13, 13, 26 could not be the lengths of the sides of a triangle
Step-by-step explanation:
There is an important rule about the sides of the triangle
The sum of lengths of the smallest two sides of a triangle must be greater than the length of the third sideLet us use this rule to solve questions 4, 5, and 6
#4.
∵ The numbers are 4, 8, 11
∵ The two smallest numbers are 4, 8
∵ Their sum = 4 + 8 = 12
∵ The greatest number is 11
∵ 12 > 11
∴ The sum of the two smallest number is greater than the third number
∴ The numbers could be the length of the sides of a triangle
∴ 4, 8, 11 could be the lengths of the sides of a triangle
#5.
∵ The numbers are 6, 12, 5
∵ The two smallest numbers are 5, 6
∵ Their sum = 5 + 6 = 11
∵ The greatest number is 12
∵ 11 < 12
∴ The sum of the two smallest number is smaller than the third number
∴ The numbers could not be the length of the sides of a triangle
∴ 6, 12, 5 could not be the lengths of the sides of a triangle
#6.
∵ The numbers are 13, 13, 26
∵ The two smallest numbers are 13, 13
∵ Their sum = 13 + 13 = 26
∵ The greatest number is 26
∵ 26 = 26
∴ The sum of the two smallest number is equal to the third number
∴ The numbers could not be the length of the sides of a triangle
∴ 13, 13, 26 could not be the lengths of the sides of a triangle
PLEASE HELP ITS URGENT!
Answer:
which one 3 or 4. please tell me
how YOU LIKE ME NOW !
Answer:
im confusedddddddd.................
the blue segment below (7.4) is a diameter of O. what is the length of the radius of the circle. A. 3.7 B. 14.8 C. 11.1 D. 7.4
Answer:D
Step-by-step explanation:
Not 100%
The radius of the circle is 3.7 units , Option A is the correct answer.
What is a Circle ?A circle is a round shaped figure , all the points of a plane lie in same plane and the distance between the center of the circle and all the point s oin the circumference is equal.
It is given in the figure that the diameter of the circle is 7.4 units
Then Radius = ?
Radius = Diameter / 2
Radius = 7.4 /2 = 3.7 units
Therefore the radius of the circle is 3.7 units , Option A is the correct answer.
To know more about Circle
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hi anyone can help me ??
Answer:
Step-by-step explanation:
a) The name of the figure is a pentagon.
b) You need to find <HBA. Before you can do that, you need to get the interor angle of 43 and 104
EAF = 180 - 43
EAF = 137
HCD = 180 - 52 = 128
CDE = 180 - 104
CDE = 76
Now you can get <HBA = 540 - 76 - 137 - 90 - 128 = 540 - 431 = 109
x = 180 - 109 = 71
I put a picture hopefully you can see it
Answer:
i think it might be the first or third one
Step-by-step explanation:
A researcher believes that working out in colder temperatures will burn more calories because a person has to burn more calories to keep warm. The researcher decides to study various groups of people working out at different temperatures and measure their progress. How would you describe the temperature in the study?
A Observational
B Experimental
C Census
D Simulation
Answer:
B. Experimental
Step-by-step explanation:
The only way to properly study this would be by using an experimental study. The researcher would need to create different groups and place them in different temperature conditions but keeping all of the other variables in the study the same while they exercise. Then gather as much data as possible including weight, calorie consumption, body temperature, etc. Finally, analyze the data and come to a conclusion. The other types of studies will not allow the researcher to gather the necessary data to come to a proper conclusion.
Five boxs of crackers cost $9 st this rate how much do 20 boxes cost
$900
..why do I need 20 letters-
Answer:
20 boxes of crackers would cost 36 dollars
Step-by-step explanation:
Since 5 boxes is 9 dollars
And there are 20 boxes
You divide 20 boxes by 5 and you should get 4
Then with the 4 you multiply that with $9
36 dollars
Hope this helped you!
What is this math question? Yesterday Nathan rode his bike 39 kilometers in 3 hours. Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work.
Answer:
Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday
Step-by-step explanation:
Yesterday Nathan rode his bike 39 kilometers in 3 hours.
Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work.
Speed /rate =>Distance(km)/ Time(hr)
For yesterday
Speed = 39km/3 hour
Speed = 13 km/hr
For Today
Convert time in minutes to hour
60 minutes = 1 hour
30 minutes = x hour
= 30/60
= 0.5 hour
Speed=> 8km/ 0.5 hour
=16 km/hr
Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday
-----------> Comment your Epic Games Name or Nintendo Switch friend code here so I can add you on Rocket Leauge!(Answer if your plat 3 or above in doubles)<-------------------
Answer:
daddys_angel_yt
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ricardoconsort14 and RicardoOrtVill
all you need is in the photo
Answer:
One solution,0,-2
Step-by-step explanation:
The point where they intersect is 0,2. That is the answer.
Hope this helps plz mark brainliest if correct :D
Answer:
It's one solution, (0, -2)
Step-by-step explanation:
Look at where the lines intersect at the point. Its negative 2y or 0x. Hope this helps! have a great day
Say you have a triangular piece of paper. If you rip off the corners of this triangle and put them together, what shape does it make?
all you need is in the photo
Answer:
It is a one solution answer with the point of intersection being (1,0)
यूदि एक वृत्त का परिमाप और क्षेत्रफल बरावर हो
तो उसकी त्रिज्या क्या होगी?
Answer:
I Can't understand your language !!!!!
Step-by-step explanation:
Please ask it in English Lol !!!!
A submarine was at 30 feet below sea level. It sinks down 8 more feet. How many feet below sea level is the submarine?
Answer:
38 is the answer
I'm adding this extra part because I need it to be 20 letters long
Using addition, the submarine is 38 feet below sea level.
What is addition?The addition is "taking two or more numbers and adding them together, or it is the total sum of two or more numbers".
According to the question,
A submarine was at 30 feet below sea level. The submarine sinks 8 more feet. In order to find, number of feet below sea level the submarine only if we add 30 feet and 8 feet.
= 30 + 8 = 38 feet.
Hence, using addition the submarine is 38 feet below sea level.
Learn more about addition here
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Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector.
v = (21, 20)
Answer:
a. v.v' = v₁v₂ - v₁v₂ = 0 b. (20, -21)/29 and (-20,21)/29
Step-by-step explanation:
a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.
Given v = (v₁, v₂) = v₁i + v₂j and v' = (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0
So, v.v' = (v₁i + v₂j).(v₂i - v₁j)
= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)
= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j
i.i = 1, i.j = 0, j.i = 0 and j.j = 1
So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j
= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1
= v₁v₂ - v₂v₁
= v₁v₂ - v₁v₂ = 0
So, v.v' = 0
b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).
So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.
A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29
