Answers
Answer:
how do I do another question
Answer:
6 seconds
Step-by-step explanation:
Start by assigning x to value you are trying to find - in this case, the number of seconds until Luigi catches up with Mario.
After x seconds, the distance Luigi has traveled will be the same as the distance Mario has traveled plus 90, since Mario is 90 meters ahead of Luigi.
So our equation is 50x = 35x + 90
Subtracting 35x from both sides: 15x = 90
Dividing both sides by 15: x = 6
So Luigi will catch up with Mario in 6 seconds.
Related Questions
A random experiment was conducted where a Person A tossed five coins and recorded the number of ""heads"". Person B rolled two dice and recorded the larger number out of the two dice. Simulate this scenario (use 10000 long columns) and answer questions 10 to 13.
Answers
Answer:
(10) Person B
(11) Person B
(12) [tex]P(5\ or\ 6) = 60\%[/tex]
(13) Person B
Step-by-step explanation:
Given
Person A [tex]\to[/tex] 5 coins (records the outcome of Heads)
Person [tex]\to[/tex] Rolls 2 dice (recorded the larger number)
Person A
First, we list out the sample space of roll of 5 coins (It is too long, so I added it as an attachment)
Next, we list out all number of heads in each roll (sorted)
[tex]Head = \{5,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,0\}[/tex]
[tex]n(Head) = 32[/tex]
Person B
First, we list out the sample space of toss of 2 coins (It is too long, so I added it as an attachment)
Next, we list out the highest in each toss (sorted)
[tex]Dice = \{2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6\}[/tex]
[tex]n(Dice) = 30[/tex]
Question 10: Who is likely to get number 5
From person A list of outcomes, the proportion of 5 is:
[tex]Pr(5) = \frac{n(5)}{n(Head)}[/tex]
[tex]Pr(5) = \frac{1}{32}[/tex]
[tex]Pr(5) = 0.03125[/tex]
From person B list of outcomes, the proportion of 5 is:
[tex]Pr(5) = \frac{n(5)}{n(Dice)}[/tex]
[tex]Pr(5) = \frac{8}{30}[/tex]
[tex]Pr(5) = 0.267[/tex]
From the above calculations: [tex]0.267 > 0.03125[/tex] Hence, person B is more likely to get 5
Question 11: Person with Higher median
For person A
[tex]Median = \frac{n(Head) + 1}{2}th[/tex]
[tex]Median = \frac{32 + 1}{2}th[/tex]
[tex]Median = \frac{33}{2}th[/tex]
[tex]Median = 16.5th[/tex]
This means that the median is the mean of the 16th and the 17th item
So,
[tex]Median = \frac{3+2}{2}[/tex]
[tex]Median = \frac{5}{2}[/tex]
[tex]Median = 2.5[/tex]
For person B
[tex]Median = \frac{n(Dice) + 1}{2}th[/tex]
[tex]Median = \frac{30 + 1}{2}th[/tex]
[tex]Median = \frac{31}{2}th[/tex]
[tex]Median = 15.5th[/tex]
This means that the median is the mean of the 15th and the 16th item. So,
[tex]Median = \frac{5+5}{2}[/tex]
[tex]Median = \frac{10}{2}[/tex]
[tex]Median = 5[/tex]
Person B has a greater median of 5
Question 12: Probability that B gets 5 or 6
This is calculated as:
[tex]P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}[/tex]
From the sample space of person B, we have:
[tex]n(5\ or\ 6) =n(5) + n(6)[/tex]
[tex]n(5\ or\ 6) =8+10[/tex]
[tex]n(5\ or\ 6) = 18[/tex]
So, we have:
[tex]P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}[/tex]
[tex]P(5\ or\ 6) = \frac{18}{30}[/tex]
[tex]P(5\ or\ 6) = 0.60[/tex]
[tex]P(5\ or\ 6) = 60\%[/tex]
Question 13: Person with higher probability of 3 or more
Person A
[tex]n(3\ or\ more) = 16[/tex]
So:
[tex]P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Head)}[/tex]
[tex]P(3\ or\ more) = \frac{16}{32}[/tex]
[tex]P(3\ or\ more) = 0.50[/tex]
[tex]P(3\ or\ more) = 50\%[/tex]
Person B
[tex]n(3\ or\ more) = 28[/tex]
So:
[tex]P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Dice)}[/tex]
[tex]P(3\ or\ more) = \frac{28}{30}[/tex]
[tex]P(3\ or\ more) = 0.933[/tex]
[tex]P(3\ or\ more) = 93.3\%[/tex]
By comparison:
[tex]93.3\% > 50\%[/tex]
Hence, person B has a higher probability of 3 or more
The tables represent the functions f(x) and g(x).
A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, f(x), has the entries, negative 5, negative 3, negative 1, 1, 3, 5. A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, g(x), has the entries, negative 13, negative 9, negative 5, negative 1, 3, 7.
Which input value produces the same output value for the two functions?
Answers
Answer:
rtyujn
Step-by-step explanation:
er456y7ujm
Mr. Baker is driving 100 miles. His average speed, to the nearest 2 miles per hour, is 56 miles per hour. What is the range of possible values
for t, the total time of the drive in hours?
A
1.79
B
1.72 < t < 1.85
с
1.72
1.75 < t < 1.82
Answers
Answer:
1.72 ≤ t ≤ 1.85
Step-by-step explanation:
Given :
Distance = 100 miles ;
Speed = 56 miles per hour, to the nearest 2 miles per hour
Hence, the speed range is :
(56 - 2) mph ; (56 + 2) mph
Range of possible Time taken, t :
Distance / speed ;
100 / 58 ≤ t ≤ 100 / 54
1.72 ≤ t ≤ 1.85
Sushil was thinking of a number. Sushil divides by 7 then adds 7 to get an answer of 12. Form an equation
Answers
Answer:
The number is 35.
35 divided by 7 is 5, and 5 plus 7 is 12.
:)
Let's assume the number Sushil was thinking was 'x'
Now lets understand each part,
First, Sushil divides the number by 7, writing this in numbers will give,
[tex]\frac{x}{7}[/tex]
Sushil then adds 7 to digit, this will give
[tex]\frac{x}{7}+7[/tex]
Sushil tells that the answer for the following equation is 12, so
[tex]\frac{x}{7} + 7 = 12[/tex]
Therefore the equation Sushil made is [tex]\frac{x}{7} + 7 = 12[/tex]
Happy to help :)
If you need any help, feel free to ask
Second Number Cube
1
2.
3
4
5
6
First Number Cube
locN-
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
How many possible outcomes are there?
O 6
12
Answers
Answer:
36
Step-by-step explanation:
summation of all the outcome
There are 36 possible outcomes is shows in table for rolling two six - sided number cubes.
What is mean by Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The table shows all the possible outcomes for rolling two six - sided number cubes.
Now, We know that;
For rolling one six - sided number cubes,
There is 6 possible outcomes.
Hence, For two six - sided number cubes.
Number of possible outcomes = 6 × 6
= 36
Thus, There are 36 possible outcomes is shows in table for rolling two six - sided number cubes.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ7
Pls pls pls answer this question!!
Answers
Answer:
11
Step-by-step explanation:
3 + [tex]\sqrt{16}[/tex] ÷ 2 * 4
work for the root first
3 + [tex]\sqrt{4*4}[/tex] ÷ 2 * 4
3 + 4 ÷ 2 * 4
now divide 4 by 2
3 + 2 * 4
then do multiplication
3 + 8
11
Answer:
11
Step-by-step explanation:
Following the order of operations in PEMDAS
Given
3 + [tex]\sqrt{16}[/tex] ÷ 2 × 4 ← evaluate the square root
= 3 + 4 ÷ 2 × 4
When multiplication appear on the same line evaluate from left to right
= 3 + 2 × 4
= 3 + 8
= 11
There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?
Answers
Answer:
Step-by-step explanation:
28 kg + 750 g = 28*1000 + 750
28000 + 750
= 28750 g
Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack
= 28750 ÷ 500
= 57 sacks
Answer:
57 sacks
Step-by-step explanation:
28750 ÷ 500 =
57 sacks
Glad to help! :)
Which best describes the product of these two radicals?
√2-√7
The product is rational because both V2 and V7 are rational numbers,
The product is irrational because both 2 and 7 are irrational numbers.
The product is rational because at least one factor is rational,
The product is irrational because one of the factors is an odd number.
Answers
Answer:
second option: product is irrational because both are irrational
Step-by-step explanation:
The second option which is the product is irrational because both are irrational numbers.
What is irrational number?
These are those numbers which are impossible to be written in the form of p/q.
How to determine the product?
We have been the given the following numbers.
[tex]\sqrt{2 } and \sqrt{7}[/tex] and we have been asked to find the description of the product of both. We know that these are irrational numbers because it cannot be written in the form of p/q. When we multiply this we can get root 14 which is also a irrational number.
Learn more about irrational numbers at https://brainly.com/question/124495
#SPJ2
HELP pls help me with this problem.
Answers
Answer:
8units
Step-by-step explanation:
area of a triangle=1/2base x height
1/2×4×4
2×4
8units
Using the quotient rule, what is the derivative of the function f(x)=(3x-5)/(5x+2)?
Answers
Answer:
[tex]\frac{31}{(5x+2)^2}[/tex]
Step-by-step explanation:
See image for quotient rule
f(x)= numerator = 3x-5
g(x)= denominator = 5x+2
so we have
[tex]\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}[/tex]
PLEASE HELP IF YOU KNOW GEOMETRY THIS SHOULD BE EASY
Answers
Answer:
Growth
Step-by-step explanation:
When x value increase, y value also increase, So growth.
When x = 1 ;f(1) = 2
When x = 2 ; f(2) = 2² = 4
When x = 3 ; f(3) = 2³ = 8
Answer:
Exponential Growth
Step-by-step explanation:
I found this photo that helps differentiate both growth and decay :)
I hope this helps! :)
find the area of the polygon.
( help please )
Answers
Answer:
The area of the polygon will be 8 unit square.
If you draw lines from each point you will find 6 squares and 4 triangles. Since area of triangle is half than that of square, you can count two traingles to be equal of a square.
Two sides of an isosceles triangle are unknown. We can say both are X ft
long each. The third side is 9 ft long. Perimeter of the triangle is 33ft. What
is the length of each missing side?
A. 10
B. 11
C. 12
D. 9
Answers
Answer:
c.12
Step-by-step explanation:
you do 33-9 which gets you 24. You then divide that by 2 so you get 12.
Please help me I really need help
Answers
Answer:
-2 + 6i
Parallelogram
Step-by-step explanation:
( 5 - 2i ) + ( - 7 + 8i )
remove parenthesis
5 - 2i + ( -7 ) + 8i
combine like terms
5 + (-7) = -2
-2i + 8i = 6i
-2 + 6i
The arrows on the opposite sides indicate that the sides are parallel
A shape with two sets of parallel sides is known as a parallelogram
For EASY BRAINLIEST!!!
Answer as many as you can !!
Answers
please help giving brainly and points :)
Answers
Answer:
A)-4,-5
B)4,5
Step-by-step explanation:
Name the marked angle in 2 different ways.
Answers
Answer:
angle GIH
angle HIG
this is the answer
PLEASE PLEASE HELP ME WITH THIS GEOMETRY QUESTION!!!
Answers
Step-by-step explanation:
Objective: Circle Theorems
The arcs add up to 360 and they are in proportion so
[tex]3x + 3x + 4x + 5x = 360[/tex]
[tex]15x = 360[/tex]
[tex]x = 24[/tex]
So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.
Angle 1 measure is a inscribed angle of Arc CD.
So it measures
[tex] \frac{96}{2} = 48[/tex]
Angle 2 is a inscribed angle of Arc AB so it measures
[tex] \frac{72}{2} = 36[/tex]
Angle 3 is a inscribed angle of Arc DA.
[tex] \frac{120}{2} = 60[/tex]
Angle 4 is a inscribed angle of Arc BC so it measures
[tex] \frac{72}{2} = 36[/tex]
Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.
Angle 4 measures 32 so Angle 5 is it complement to Angle 4.
[tex]32 + x = 90[/tex]
[tex]x = 58[/tex]
Angle 6 is formed by two intersecting chrods
so it measures
[tex] \frac{1}{2} (120+ 72) = 96[/tex]
How much shredded newspaper did each person at the table receive?
Answers
Answer:
Hsbsbbsysbwisuqiqiqjqjqjqjqjjqjqjqj1 1b1bh2jo
Solve for x.
6(x - 2) = 4
a) x = 2 1/3
b) x = 1 1/3
c) x = 1
Answers
Answer:
x = 2 2/3
Step-by-step explanation:
6(x - 2) = 4
Distribute
6x - 12 = 4
Add 12 to each side
6x-12+12 = 4+12
6x = 16
Divide by 6
6x/6 = 16/6
x = 8/3
x = 2 2/3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x = 2 \frac{2}{3}}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]6 \: ( \: x - 2 \: ) = 4[/tex]
➼[tex] \: 6x - 12 = 4[/tex]
➼[tex] \: 6x = 4 + 12[/tex]
➼[tex] \: 6x = 16[/tex]
➼[tex] \: x = \frac{16}{6} [/tex]
➼[tex] \: x = \frac{8}{3} [/tex]
➼[tex]\:x = 2 \frac{2}{3} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]6 \: ( \: x - 2 \: ) = 4[/tex]
➺[tex]\:6 \: ( \: 2 \frac{2}{3} - 2 \: ) = 4[/tex]
➺[tex] \: 6( \: \frac{8}{3} - 2 \: ) = 4[/tex]
➺[tex] \: 6 \: ( \: \frac{8 - 6}{3} \: ) = 4[/tex]
➺[tex] \: 6 \: ( \: \frac{2}{3} \: ) = 4[/tex]
➺[tex] \: 6 \times 0.667 = 4[/tex]
➺[tex] \: 4.002 = 4[/tex]
➺[tex] \: 4 = 4[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
2 more than the sum of y and x as an algebraic expression
Answers
Answer:
(x+y)+2
hope this helps
i need help with this
Answers
Answer:
[tex]y = - \frac{1}{2} x + 4[/tex]
Step-by-step explanation:
Let us consider two points through which the line passes through
[tex](x_1 , y _ 1 ) = ( 0 , 4 ) \ and \ (x_ 2 , y _ 2 ) = ( 4, 2 )[/tex]
Step 1 : Find slope of the line
[tex]Slope, m_1 = \frac{rise}{run} \\\\That \ is \ m_1 \ = \frac{y_2 - y _ 1}{x_2 - x_1}[/tex]
[tex]= \frac{2 - 4}{4-0} \\\\=-\frac{2}{4}\\\\= - \frac{1}{2}[/tex]
Step 2 : Find equation of the line.
[tex](y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - \frac{1}{2}(x - 0)\\\\y = -\frac{1}{2}x + 4[/tex]
A building casts a 21 foot shadow along the ground. A person 5 feet 3 inches casts a shadow 7 feet long.
How tall is the building?
Answers
Answer:
~28
Step-by-step explanation:
5 feet 3 inches is 5.25 feet.
We divide 7/5.25 which equals 1.3333333333333 (repeating)
That means we multiply 21 by 1.333333333333 which would round up to 28 feet. (the exact answer is 27.99999999999999999)
Proportions in similar triangles
Answers
Answer:
x = 4
Step-by-step explanation:
Given that DE is parallel to AC then DE divides the sides proportionally, so
[tex]\frac{BD}{DA}[/tex] = [tex]\frac{BE}{EC}[/tex] , substitute values
[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(x + 2) ← distribute
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
Help me please.
No links i will report anything not related to the question
Answers
Answer:
6/9 and 4/6
Step-by-step explanation:
Double and Triple the number
no links please, i cant find the answer for q b) ii)
Answers
Answer:
-k
Step-by-step explanation:
Cos(140)=cos(180-40)=-cos(40)=-k
Answer:
Step-by-step explanation:
Sin (90 - A) = Cos A
Cos (90 + A) = -Sin A
Sin 50 = Sin (90 - 40)
= Cos 40
= k
Cos 140 = Cos (90 + 50)
= - Sin 50
= (- k)
lol help pleas jdcbfjvbcjvdj
Answers
Answer:
C is your correct answer
Step-by-step explanation:
just multiply it together then you get 70.51
How many sides do 2 hexagons and 2 pentagons have in all?
Answers
Answer:
22 sides total
Step-by-step explanation:
a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.
[tex]2(6)+2(5)=\\12+10=22[/tex]
118°
D
B
angle C= ?
can anybody help pls?
Answers
Answer:
∡ c = 118°
Step-by-step explanation:
angle c is 118 degree (being vertically opposite angle)
∡ c = 118°
Answer:
118
Step-by-step explanation:
there is a property that i can't remember the name of that is dealing with angles across a flat line.
another way, is that 118+D=180, so D is 62
so that means D + C = 180, where D is 62 so C must be 118
What is the first term of the series?
a1 =
✓
Answer each question about the following
geometric series
10
k-1
S10 = 32
k-1
How many terms are in the series?
COMPLETE
Σ3(2): -
What is the last term of the series?
a1 =
1
DONE
2
9
10
COMPLETE
Answers
Answer:
Below.
Step-by-step explanation:
The first term (where k = 1)
= 3(2)^1-1
= 3*1
= 3,
The last term ( k = 10)
= 3(2)^(10-1)
= 3(2)^9
= 3* 512
= 1536.
Answer:
3
1536
A
Step-by-step explanation:
