alice fox's step is 3/5 m and basil cat's step is 4/5m.
note: i will be using 1/5m instead of 20 cm to keep the units consistent
1. Set up table
| Step Length | # of steps | Distance
A | x | 240/x | 240
B | x+1/5 | 240/x+1/5 | 240
2. set up equation
240/x - 100 = 240/x+0.2
3. Multiply the bases to make it:
240x+48 - 100x^2 -20x = 240x
= 100x^2-20x+48=0
4. Use vieta's theorem or quadratic equation to solve for x
x= 3/5, -4/5 but -4/5 doesnt work bc distance can't be negative
5. plug back in
A | 3/5
B | 3/5+1/5
so: alice fox's step is 3/5 m and basil cat's step is 4/5m.
hope this was helpful!!
Answer:
Alice Fox’s step is 3/5, and Basil cat’s step is 4/5.
Step-by-step explanation:
Shane's soccer team played three games in a tournament. Identify the sample
space (the correct list of possible outcomes) for the team's results.
W = win, L = loss
The notation WLL means Shane's team won the first game, lost the second
game, and lost the third game.
A. {WW, WL, LW, LL}
O B. (WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL}
C. {WWWW, WLWL, LLLL}
O D. {WWW, WWL, LLL}
Answer:
B
Step-by-step explanation:
the all posible situations are listed in the sample space
www =won all 3 games
wwl= won first 2 games and lost the last and so on...
a student states that the exterior angle of a triangle can never be a right angle. find the mistake and correct it
Answer:
FALSE statement
Step-by-step explanation:
a right triangle’s exterior angle is 90 degree
Unitary method A car can cover a distance of 522km on 36litres of disesel. How far can it travel with 14litres,
Answer:
It can cover 203 km with 14 litres.
Step-by-step explanation:
Given that,
A car can cover a distance of 522km on 36litres of diesel.
522 km = 36 litres
1 l = (522/36) km
We need to find how far can it travel with 14 litres.
We can use the unitary method to solve it.
[tex]14\ L=\dfrac{522}{36}\times 14\\\\=203\ km[/tex]
So, it can cover 203 km with 14 litres.
Help me out:)i need an answer as soon as possible!!!
Three friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally, how much of the candy bar will each person get?
The candy bar will each person get will be 4 / 15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that three friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally.
The amount of candy shared by each person will be,
Amount = ( 4 / 5 ) ÷ 3
Amount = 4 / 15
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Seven television sets are chosen at random (i.e., without replacement) from a shipment of 240 television sets of which 15 are defective. Calculate the probability that at least 1 of the chosen televisions are defective.
Answer:
7/16
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Proportion of defective televisions in the shipment = 15/240 = 1/16
Probability that 1 of the 7 chosen is defective = 1/16 x 7 = 7/16
-our classmates were asked to decorate /5 or the bulletn boara In a classroom They divided the section to be decorated equally among the 4 classmates. Whe fraction of the entire bulletin board did each classmate decorate? (5.NF.7)
The fraction of the entire bulletin board decorated by each classmate is N/20.
Fraction of a number.Fraction is a mathematical expression which is made up of denominator and a numerator. So that fractions may generally be categorized into 3 types. These are: proper fraction, improper fraction, and mixed fraction.
Considering the given question, let the size of the bulletin board be represented by N.
The section of the bulletin board to be decorated = 1/5 * N
= N/ 5
There are 4 classmates that has been selected to divide the section to be decorated equally among themselves. So.
Fraction of the board to be decorated by each student = (N/ 5)/ 4
= 1/20 N
The fraction of the board to be decorated by each student is N/20.
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WILL GIVE BRAINLIEST
Q1) ABCD is a square. A is the point (-2,0) and C is the point (6,4). AC and BD are diagonals of the square, which intersect at M.
a) Find the coordinates of M,B and D.
b) Find the area of ABCD.
9514 1404 393
Answer:
a) M(2,2), B(4, -2), D(0, 6)
b) 40
Step-by-step explanation:
a) The midpoint of AC is the average of the endpoint coordinates.
M = (A +C)/2
M = ((-2, 0) +(6, 4))/2 = (4, 4)/2
M = (2, 2)
There are several ways to find points B and D. One of them is to rotate points A and C 90° about M. The 90° CCW rotation transformation about the origin is ...
(x, y) ⇒ (-y, x)
About the point (2, 2), the transformation would be ...
(x, y) ⇒ (-(y -2)+2, (x -2)+2) = (4 -y, x)
Rotating point A 90° to get point B, we have ...
B = (4 -0, -2)
B = (4, -2)
And rotating C to get point D, we have ...
D = (4 -4, 6)
D = (0, 6)
__
b) The area of the square is half the square of the diagonal. The square of the diagonal can be found using the distance formula ...
d² = AC² = (6-(-2))² +(4 -0)² = 64 +16 = 80
Then the area is ...
area = AC²/2 = 80/2
area = 40 . . . . square units
In an all boys school, the heights of the student body are normally distributed with a mean of 69 inches and a standard deviation of 2.5 inches. Using the empirical rule, what percentage of the boys are between 61.5 and 76.5 inches tall?
Step-by-step explanation:
plus of yhis number and solve it oksy
PLEASE HELP!!
For the right triangles below, find the values of the side lengths c and b.
Round your answers to the nearest tenth.
Answer:
[tex]c = 3 \tan(60 \degree) \\ c = 5.2 \\ hypotenuse \: of \: first \: triangle : \\ = \frac{ 5.2 }{ \sin(60 \degree) } \\ = 6 \\ \\ \frac{6}{4} = \frac{c}{b} \\ \frac{6}{4} = \frac{5.2}{b} \\ b = \frac{5.2 \times 4}{6} \\ b = 3.5[/tex]
Helppppppppppppppp!!!!!
Hi there!
[tex]\large\boxed{\text{ UVY} = 65^o, \text{ VYZ }= 65^o}[/tex]
We can begin by finding ∠VUY so we can solve for ∠UVY.
∠VUY is supplementary to ∠TUY, so:
180 = 144 + ∠VUY
∠VUY = 36°
In a triangle, angles sum up to 180°, so:
180 = 36° + 79° + m∠UVY
m∠UVY = 65°
Solve for m∠VYZ by comparing the angle to m∠UVY because the angles are alternating interior angles. Thus:
m∠UVY = m∠VYZ = 65°.
Solve: 10y2+57y+35=0.
Answer: y = −0.7, -5
Step-by-step explanation:
Combine terms: 12a + 26b -4b – 16a.
Answer:
The answer is -4a + 22b
Step-by-step explanation:
12a + 26b -4b -16a
12a - 16a + 26b - 4b
-4a + 22b
Thus, The answer is -4a + 22b
-TheUnknownScientist
Step-by-step explanation:
[tex] \mathfrak{SOLUTION} _{(By\:Mister360)} \begin{cases} \\ \rm \mapsto \: 12a + 26b - 4b - 16a \\ \\ \rm \mapsto \: 12a - 16a + 26b - 4b \\ \\ \rm \mapsto \: (12 - 16)a + (26 - 4)b \\ \\ \rm \mapsto \: - 4a + 22b \\ \\ \rm \mapsto \: - (4a - 22b) \end{cases}[/tex]
irrational number formula
Answer:
hope it helps.
stay safe healthy and happy.
7. Sarah draws a card from a standard deck, throws the card away, and then draws another card.
Are these events independent or dependent?
Answer:
dependent
Step-by-step explanation:
2 7/8 + 2 7/8 Answer pls
Answer:
5 + 3/4
Step-by-step explanation:
Answer:
23/4
Decimal Form:
5.75
Mixed Number Form:
5 3/4
Step-by-step explanation:
there ya goo
Find the missing length indicated
Help plz:)))I’ll mark u Brainliest
Answer:
h = 9
Step-by-step explanation:
cylinder A = [tex]\pi[/tex][tex]3^{2}[/tex]*4 = 113.0973355 [tex]m^{3}[/tex]
Cylinder B = 113.0973355 [tex]m^{3}[/tex]
113.0973355 [tex]m^{3}[/tex] = [tex]\pi[/tex][tex]2^{2}[/tex]*h
113.0973355 [tex]m^{3}[/tex] / 4[tex]\pi[/tex] = h
8.999999999998 = h
I think b/c of the rounding error of rounding off pi, that h= 9
Pls help me out here
All of the equations that are true include the following:
B. 56 + 70 = 14(4 + 5).
C. 28 + 49 = 7(4 + 7).
What is the distributive property of multiplication?In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.
How to determine the true equation?In order to determine the true equation, we would apply the distributive property of multiplication and then check whether or not the right-hand side is equal to the left-hand side.
By applying the distributive property of multiplication to the given mathematical expression, we have the following:
32 + 96 = 8(4 + 14)
32 + 96 = 32 + 112 (False).
56 + 70 = 14(4 + 5).
56 + 70 = 56 + 70 (True).
28 + 49 = 7(4 + 7).
28 + 49 = 28 + 49 (True).
27 + 36 = 3(9 + 13)
27 + 36 = 27 + 39 (False).
25 + 35 = 5(5 + 6)
25 + 35 = 25 + 30 (False).
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HELPPPPP! Points scored in a basketball game vary directly with shots taken. If a player scores 50 points , and takes 40 shots , how many would she score if she takes 60 shots? Round your answer down to the nearest points scored
Answer:
Points scored in a basketball game vary directly with shots taken.
This means that this question can be solved
by proportions, using a rule of three.
How many would she have scored if she takes 60 shots?
Using a rule of three:
50 points - 40 shots
x points - 60 shots
Applying cross multiplication:
4x = 50 × 60
Divide from both sides
x = 50 × 1.25 = 75
Answer is 75
Step-by-step explanation:
Here is a easier explanation if you didn't understand clearly:
It asked for how many 60 shots would score.
You would look at the first time he scored which is 50 and took 40 shots. Divide them
50 ÷ 40 = 1.25 or 1.5
So now you know each point scores 1.25 or 1.5
Now you multiply 1.25 or 1.5 with how many shots to see how much was scored and in this case 60 shots.
60 × 1.25 or 60 × 1.5
& They both end up equaling just the same, 75.
Hope it made sense :)
PLSSSSSSSSSSS HELPPPPPPPPP
Answer:
B and D
Step-by-step explanation:
Can y’all help me?!
Answer:D
Step-by-step explanation:
3 is on the positive x side and 2 is on the negative y side so it will be (3,-2)
Solve on the interval [0, 2pi): 4csc x +6=-2
By solving the interval : [0,2pi] 4 csc x +6=-2 is 7pi/6 , 11pi/6
What are Trigonometric identities?Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These are identities that, geometrically speaking, involve certain functions of one or more angles. defining sine and cosine in terms of tangent, cotangent, secant, and cosecant interactions. The sine and cosine formula according to Pythagoras. This trig identity is arguably the most significant.[tex]& 4 \csc x+6=-2 \\[/tex]
[tex]& 4 \csc x=-8 \\[/tex]
Simplifying,
[tex]& \csc x=-2 \\[/tex]
[tex]& \frac{1}{\sin x}=-2 \\[/tex]
[tex]& \sin x=-\frac{1}{2} \\[/tex]
We get,
[tex]& x=\frac{7 \pi}{6}, \frac{11 \pi}{6}[/tex]
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you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
6a. 0.02623
b. 0.5692
Thank you :)
Pls help me ! I rlly need help on this have a great day or night
link below!!!!!!!!!!!
A family went out to dinner. The cost of their meal was $57.50, before sales tax and tip.
A sales tax of 8% was added.
The family then tipped 18% on the amount after the sales tax was added.
Part A:
What was the amount, rounded to the nearest cent, of just the sales tax?
Part B : What was the total amount the family paid , including tax and tip , rounded to the nearest cent ?
PLEASE HELP
Answer:
I hope I got this answer right
A is 4.60 and B is 8.30
Dan is trying to construct a bigger square by utilizing and putting together pieces of square-shaped pieces of paper with similar dimensions. Without tearing or cutting, what is the minimum number of pieces required to achieve his objective?
The minimum number of pieces dan requires to achieve his objective of constructing a bigger square is; 4 pieces
First of all we need to understand that the 4 sides of a square are equal.We are told that dan is trying to construct a bigger square with a smaller square. That all the smaller square-shaped pieces of paper have similar dimensions.
Now, if the length of a side of the small square shaped pieces is x, it means that if we join 2 of the smaller squares, we will have;Length = 2x
Width = x
Both sides above are not equal and as such we need to join 2 more squares the exact way the above was done. This means that if the 2 new squares are added adjacent to the incomplete side, we will now have;Length = 2x
Width = 2x
Thus, the minimum number of pieces dan will require to construct the bigger square is 4 squares.
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Can y’all help me?!
Answer:
4 is next in NUMBER OF DAYS
9 is the first in NUMBER OF TADPOLES
41 is the 2nd answer ON NUMBER OF TADPOLES
Step-by-step explanation:
hope this helps a lot!!
Compare numbers to their opposites based on their positions on a number line. Choose ALL true statements based on these comparisons.
A) −(−7) = 7
B) Zero is its own opposite.
C) −(−10) = −10
D) −14 and 4 are equally distant from 0.
E) −12 and 12 are equally distant from 0.
Answer:
A, B, E
Step-by-step explanation:
I'm not too sure about B, but A and E are definitely true
pls help djehhxhxhxhxhxjjdndnd
Area of both the triangles :
= ½ × base × prepenicular
= ½ × 3 × 4
= 3 × 2
= 6 × 2 = 12 ( We have two triangles)
Area of semicircle :
= πr²/2
= 3.14 × 3 × 3 /2
= 28.26/2
= 14.13
Total area = 12 + 14.13 = 26.13 = 26.130