Answer: y-100= 0.25(x-160)
Step-by-step explanation:
Given: Charge per mile = $0.25
Total amount driver pays = $100
Number of miles he drove = 160 miles
Total cost = Flat fee + ( Number of miles he drove) (Charge per mile) ...(i)
i.e. 100= Flat fee + (160)(0.25)
⇒ Flat fee = 100 - (160)(0.25)
If y= total cost , x= number of miles, then
y= ( 100 - (160)(0.25))+ (x)(0.25) [Substitute value of flat fee in (i)]
⇒ y= 100 - (160)(0.25)+ (x)(0.25)
⇒ y-100= (x)(0.25)- (160)(0.25)
⇒ y-100= 0.25(x-160)
Hence, the required equation: y-100= 0.25(x-160)
Which statement is a valid claim that could be made using the data in the graph?
Directional selection is occurring because the graph favors an extreme.
Stabilizing selection is occurring because the average is favored.
Disruptive selection is occurring because the two extremes are favored.
Biodiversity variation is occurring because there is an increase in trait variation.
Stabilizing selection is occurring because the average is favored.
If its the same graph im thinking of.
The correct statement is a valid claim that could be made using the data in the graph is,
B) Stabilizing selection is occurring because the average is favored.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, On this graph we can observe the workings of the stabilizing selection.
Since, Stabilizing selection tends to favor the average phenotype and eliminate the extremes.
Essentially, this means that the natural selection is selecting the mean value of a trait as optimal.
Hence, In our case, the mean weight of newborns is selected as optimal, because newborns born with less weight can be too weak to survive and the ones that have too much weight (are too big) can hurt the mother during birth.
Thus, The correct statement is a valid claim that could be made using the data in the graph is,
B) Stabilizing selection is occurring because the average is favored.
Learn more about the mathematical expression visit:
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the graph shows the solution to which inequality
y>2/3x+1
Answer:
The graph shows the solution to which inequality y>2/3x+1.
Step-by-step explanation:
hope that helps
Acme is selling a 6 pound turkey for $25.50.
Write the rate
What is the unit rate
Answer:
$4.25 each pound
Step-by-step explanation:
To find the unit rate you want to divide the price by the pound
25.50 / 6 = 4.25
Therefore it's $4.25 each pound which is the unit rate
Which ratio is not equivalent to 5 : 8?
Answer:
10 / 28
Step-by-step explanation:
The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of the rectangle? please hurry
Answer:
The answer is 48 divided by 2= 24.
Hope I helped.
Can someone help I will brainlest
Helppp! (m−3+4n)⋅(−8)
Answer:
-8m + 3 - 32n
Step-by-step explanation:
Distributive Property
-8m + 3 - 32n
I NEED HELP ASAP, WILL MARK BRAINLIEST Find the value of y. Round to the nearest tenths place.
Answer:
Side a = 1
Side b = 0.5
Side c = 0.86603 = √3/2
Nearest tenths is 0.9
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates 2 sides based on 3 given angles and 1 side.
b = a·sin(B)/sin(A) = 0.5
c = a·sin(C)/sin(A) = 0.86603 = √3/2
Area =
ab·sin(C)
2
= 0.21651
Perimeter p = a + b + c = 2.36603
Semiperimeter s =
a + b +c
2
= 1.18301
Height ha =
2×Area
a
= 0.43301
Height hb =
2×Area
b
= 0.86603
Height hc =
2×Area
c
= 0.5
Median ma = √(a/2)2 + c2 - ac·cos(B) = 0.5
Median mb = √(b/2)2 + a2 - ab·cos(C) = 0.90139
Median mc = √(c/2)2 + b2 - bc·cos(A) = 0.66144
Inradius r =
Area
s
= 0.18301
Circumradius R =
a
2sin(A)
= 0.5
0.86 is more than 0.85 so the nearest tenths place has to be 0.9
I will also post questions and you please answer them
Please help!!!!!!!!!
Answer:
ascending order:
angle KLM
angle KML
angle LKM
Step-by-step explanation:
angle opposite to the largest side is the largest angle:
largest angle = angle LKM
angle opposite to the smallestest side is the smallest angle:
smallest angle = angle KLM
PLZ HELP I SUCK AT MATH :( JUST LIKE MY USERNAME SAYS :(
Which of the following equations have exactly one solution?
Choose all answers that apply:
(Choice A)
-19x + 18 = -19x + 18
(Choice B)
-19x -18 = -19x + 18
(Choice C)
19x + 18 = -19x + 18
(Choice D)
19x - 18 = -19x + 18
Answer:
Option C and Option D have exactly one solution.
Step-by-step explanation:
The equation will have exactly one solution when it completely solves and we get value of x.
Checking all choices
(Choice A)
-19x + 18 = -19x + 18
-19x+19x=18-18
0=0
(infinite solutions)
(Choice B)
-19x -18 = -19x + 18
-19x+19x=18+18
0≠36
(no solution)
(Choice C)
19x + 18 = -19x + 18
19x+19x=18-18
38x=0
x=0
(One solution)
(Choice D)
19x - 18 = -19x + 18
19x+19x=18+18
38x=36
x=36/38
x=18/19
(One solution)
So, Option C and Option D have exactly one solution.
Tell whether the rates form a proportion
28 points in 3 games; 112 points in 12 games
Yes
No
Answer: yes
Step-by-step explanation: the answer is yes
I need help with this
Answer:
y=-1/3x+2
Step-by-step explanation:
hellllpppppp meeeeeee please
Answer:
#3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
[tex]\frac{7x}{2} <5\\7x<10\\x<\frac{10}{7}[/tex]
What is the answer to 15x+9 when x=−1.
Answer:
The answer is -6.
Step-by-step explanation:
A store donated 2 1/4 cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?
Answer:
432 crayons
Step-by-step explanation:
convert 2 1/4 to 9/4
1 case=24 boxes=8 crayon in each box
24*8=192 for 1 case
9/4*192=432
The center received 432 crayons
i rlly need help; finding angles
Answer:
1=35 find angle 2 80+65-180=35
2= 65 vertical angles are congruent ex 115-180
3=29 ex. 90+65-180=29
4= 115 vertical angle congruent
5=65 vertical angles are congruent ex 115-180
6=65 35+80-180=65
7=144
Answer:
∠1 = 35 ; ∠2 = 65 ; ∠3 = 29 ; ∠4 = 115
∠5 = 65 ; ∠6 = 36 ; ∠7 = 144
Step-by-step explanation:
∠4 = 115 {Vertically opposite angles}
∠5 + 115 = 180 {linear pair}
∠5 = 180 - 115
∠5 = 65
∠2 = ∠5 {Vertically opposite angles}
∠2 = 65
∠1 + 80 +∠2 = 180 {Angle sum property of triangle}
∠1 + 80 + 65=180
∠1 + 145 = 180
∠1 = 180 - 145
∠1 = 35
∠5 + ∠7 + 90 + 61 = 360 {angle sum property of quadrilateral}
65 + ∠ 7 + 90 + 61 = 360
∠7 + 216 = 360
∠7 = 360 - 216
∠7 = 144
∠6 + ∠ 7 = 180 {linear pair}
∠6 + 144 = 180
∠6 = 180 - 144
∠6 = 36
∠3 + ∠4 +∠ 6 = 180 {angle sum property of triangle}
∠3 + 115 + 36 = 180
∠3 + 151 = 180
∠3 = 180 - 151
∠3 = 29
Question 3
~ True or false?
Answer:
It is true
Step-by-step explanation:
20/-7 is ~2.56
-2.8 (8 repeating) is -2.8......
So it is true
Hope this helps!
Answer:
True
Step-by-step explanation:
Find the slope of the line y = –5x − 1
Answer:
-5
Step-by-step explanation:
The function follows y = mx + b form where m is the slope.
m = -5
The slope is -5
Answer:
-5
Step-by-step explanation:
the equation is written in form y = mx + b
The m is the slope and the b is the y intercept.
So the m in the equation is -5.
how to write this numbers in word 30.659
Answer:
thirty and six hundred fifty-nine thousandths
Step-by-step explanation:
It S.P. =Rs810, loss percent=10% find C.p
Answer:
x=900
Step-by-step explanation:
100-10=90
90/100=0.9
x*0.9=810
x=810/0.9
x=900:)
hope it helps!!
Have a great day
Nel salone di un rivenditore di automobili, il 20% delle macchine sono SUV, il 35% sono monovolume e 27 sono berline. Calcola il numero di SUV.
Answer: 12
Step-by-step explanation: 27 sedanes son 45% (de 100 - (35 + 25)) es necesario hacer 27/45 para averiguar la tasa unitaria, multiplicar la tasa unitaria por porcentaje para averiguar la respuesta
Help me on this please
Answer:
answer d
Step-by-step explanation:
negative exponents need to be put into the denom
???????????????????????
Answer:
I can't see the yellow..... but it should be subtract 10 from both sides!
So the answer is cyan or light blue (2nd one)
Step-by-step explanation:
Hope this helps! Mark as Brainliest!
The number 0 is a solution to which of the following inequalities? Select all that apply. x – 5 ≤ -3
Answer:
The number 0 is a solution to that specific inequality
Step-by-step explanation:
0-5 <- -3
-5 <- -3
-3 is greater than -5
Classify this polynomial.
2n
A:Liner
B:quadratic
C:cubic
D:none of these
Answer:
Step-by-step explanation:
this polynomial is to thhe first degree 2[tex]n^{1}[/tex] so is a linear one
What is 0.5 x 10^5 in standard form.
+
Answer:
Step-by-step explanation:
0.5 ×10^5=5/10×10^5=5×10^4=50,000
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the other corner across the middle of the field.
Answer:
And the question is???
Answer:
Step-by-step explanation:
use the pythagorean therom:
a^2 + b^2 = c^2
substitute in your values
90^2 +120^2=c^2
multiply
8100+14400=c^2
add
22500=c^2
take the square root of both sides
c= 150 meters :)
You are at a parade looking up at a large balloon floating directly above the street. You are 60 feet from a point on the street directly beneath the baloon. To see the top of the baloon, you look up at an angle of 53°. To see the bottom of the ballon you look up at an an angle of 29°. Estiamte the height, h, of the balloon to the nearest foot. Answer with only the numeric value
Answer:
The height of the balloon is 46 feet.
Step-by-step explanation:
Let the height from the ground to the top of the balloon be represented by x. Applying the appropriate trigonometric function, we have;
Looking at the top of the balloon,
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 53° = [tex]\frac{x}{60}[/tex]
x = 60 x Tan 53°
= 79.6227
x = 79.62 feet
Looking at the bottom of the balloon, let the height from the ground to the bottom of the balloon be represented by y.
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 29° = [tex]\frac{y}{60}[/tex]
y = 60 x Tan 29°
= 33.2585
y = 33.26 feet
The height of the balloon = x - y
= 79.6227 - 33.2585
= 46.3642
The height of the balloon is 46 feet.
what is the answer for 7(x+2) = 6(x+1)
Answer:
x= -8
Step-by-step explanation:
Simple math
Answer: x = -8
7(x + 2) = 6(x + 1)
⇔ 7x + 14 = 6x + 6
⇔ 7x - 6x = 6 - 14
⇔ x = -8
Step-by-step explanation:
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4
Answer: I would have to go with e because it is the closest because it is -2 and if it were to get to zero it wouldn't take that long.
Step-by-step explanation: