Answer:
The trip normally takes 8 minutes
Step-by-step explanation:
The given information states that the away distance the boat traveled = 400 m
The time traveled at the same initial speed , v₁, by the boat on the way back = 2 minutes
The increase in speed of the boat by Pilar = 10 m/min
The new speed, v₂ = v₁ + 10
The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁
t₂ = t₁ - 1
Therefore we have;
v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400
v₁×2 + (v₁ + 10)×(t₂-2) = 400
(v₁ + 10)×t₂ - 20 = 400
But v₁ = 400/t₁ = 400/(t₂ + 1)
Which gives;
(400/(t₂ + 1) + 10)×t₂ - 20 = 400
10×(t₂²+ 36·t₂-2)/(t₂+1) = 400
10·t₂²+ 10·t₂-420 = 0
t₂²+ t₂-42 = 0
(t₂ - 7)(t₂ + 6) = 0
t₂ = 7 minutes or -6 minutes
Given that t₂ is a natural number, we have, t₂ = 7 minutes
Whereby, t₂ = t₁ - 1, we have;
7 = t₁ - 1
t₁ = 1 + 7 = 8 Minutes
The trip normally takes 8 minutes
Answer:
actually, it is 7
Step-by-step explanation:
the previous guy's explanation was all correct, but the question is asking for the return trip, which is one minute less, so the answer is 7. Hope this helped, also, i go to rsm as well and i got this one correct
Helppp!!!! please!!!
Answer:
F. cylinder
Step-by-step explanation:
A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.
(78) The flag of country Perralia has to contain three differently-colored stripes of the same width, all of which must be positioned either vertically or horizontally. If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue, how many different flags can be created
Answer:
120 flags
Step-by-step explanation:
Given that:
The flag of country Perralia has to contain three differently-colored stripes of the same width, r = 3 stripes
all of which must be positioned either vertically or horizontally = 2
If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue. So the number of color n = 5 colors
The objective is to determine how many different flags can be created.
Let us recall that;the arrangement of objects taking into account the different orders or arrangement is called permutation.
The same is applicable in this scenario as well.
The number of flags that can be created can be determined by considering the permutation of :
[tex]P_r = \dfrac{n!}{(n-r)!}[/tex]
[tex]P_r = \dfrac{5!}{(5-3)!}[/tex]
[tex]P_r = \dfrac{5!}{(2)!}[/tex]
[tex]P_r = \dfrac{5 \times 4 \times 3 \times 2!}{(2)!}[/tex]
[tex]P_r = {5 \times 4 \times 3[/tex]
[tex]P_r = 60[/tex]
However, Since all of the must be positioned either vertically or horizontally = 2
Then the total number pf flags that be created = 2 × 60 = 120 flags
PUZZLE: READ THE CLUE BELOW: CLUE 1-THE THOUSANDS DIGIT IS 8 ,WHICH IS TWO MORE THAN THE HUNDREDS DIGIT. CLUE 2- THE UNIT DIGIT IS ONE LESS THAN THE TENS DIGIT. CLUE 3-THE HUNDREDS DIGIT IS DOUBLE THE UNITS DIGIT. WHAT IS THE NUMBER?
Answer:
8,643
Step-by-step explanation:
The thousands digit is 8 so we know it is 8,000 The hundreds digit is 2 less than 8, so it's 6, giving us 8,600. The units digit is half the hundreds digit, so it is half of 6, or 3, now we have 8,603. Lastly, the tens digit is one greater than the units digit, so it is 4, leaving you with 8,643.
PLEASE HELP ASAP
Right triangle ABC is located at A (−1, −2), B (−1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius segment AC?
A (x + 1)2 + (y + 2)2 = 9
B (x + 1)2 + (y + 2)2 = 25
C (x − 3)2 + (y − 1)2 = 16
D (x − 3)2 + (y − 1)2 = 25
Answer:
b
Step-by-step explanation:
Answer:
B) (x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
BRAINLIEST PLS HELP ASAP LINEAR EQUATIONS
Answer:
first one
Step-by-step explanation:
Tracey bought 10 movies
some cost 13 and the others 16
Let x be the movies that cost 13 and y ones that cost 16
we can state that
x+y = 10since Tracey both ten
13x+ 16y = 139since the total price is 139
so the system is :
[tex]\left \{ {{13x+16y=139} \atop {x+y=10}} \right.[/tex]
Jude has a deck of playing cards. He is asked to remove one card at random, then a second card. What could Jude do between the events to ensure they are dependent?
Answer:
He could put the first card he removed into his pocket
Step-by-step explanation:
With regards to the above, he could put the first card he removed into his pocket so that the amount of card he has to draw the second time will be affected hence make it dependent.
Take for instance, there are 52 cards in total, if he picks the first card and did not replace it, then the probability of taking second card will be 50/51 since the total cards left in the deck is now 51.
Keeping the card out of the deck can be done to ensure that the events are dependent.
What is Probability ?Probability is a measure of the likeliness of an event to occur and it is measured between 0 to 1 , where 0 represents unlikeliness of the event and 1 represents certainty.
It is given in the question that he would have to keep the first card out of the deck before removing the second card.
Two events are dependent if the probability of one event changes based on the result of the other.
To be clear, an action on its own (like drawing a card) is not an event. An event is a possible outcome (or set of outcomes) we could observe.
Since we assume all 52 cards have an equal chance of being drawn on the first pick (that being 152), the only way to change this probability for the second pick is to keep the first card out of the deck.
This reduces the size of the deck to 51, meaning each remaining card has a 51 chance of being picked—except for the card he drew first, which now has a 0% chance of being drawn again.
Therefore keeping the card out of the deck can be done to ensure that the events are dependent.
To know more about Probability
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Line segment AB is drawn in the coordinate plane. Carlos graphed the set of points that are the same distance from both point A and point B. What did Carlos graph?
Answer:
Carlos graphed the perpendicular bisector of AB.
Step-by-step explanation:
Given a line segment AB drawn in a coordinate plane. The set of points that are the same distance from points A and B divides the line segment AB into two equal parts.
This line is referred to as the perpendicular bisector of AB.
Therefore, Carlos graphed the perpendicular bisector of AB.
Mrs. Blushing makes shirts at a tailor shop. She sews 5 buttons on each shirt. She uses 10 buttons on the first day, 30 buttons on the second day, and 15 buttons on the third day. Which statement is true about the buttons Mrs. Blushing uses?
Answer:
DAY 2
Step-by-step explanation:
1/4 of a pipe is white , 1/2part of the remaining is blue. If the remaining part is black and the length of this blackpart is 5 1/4cm, find the length of the pipe.
Answer: 14 cm
Step-by-step explanation:
let's total length = h
white = 1/4h
remain = h - 1/4h
=3/4h
blue = 1/2 of remaining
=1/2 of 3/4h
=3/8h
remain part black = 3/4h - 3/8h
=3/8h
according to the question
3/8h = 5 1/4 cm
h = 14 cm
length of the pipe is 14 cm
Answer:
14The length of the pipe is 14.
Solution,
Let the total length be X cm
[tex]x - \frac{x}{4} -{ (x - \frac{x}{4} ) \times \frac{1}{2}} = 5 \frac{1}{4} \\ x - \frac{x}{4} - \frac{x}{2} + \frac{x}{8} = \frac{21}{4} \\ \frac{8x - 2x - 4x + x}{8} = \frac{21}{4} \\ \frac{3x}{8} = \frac{21}{4} \\ 3x \times 4 = 21 \times 8 \\ 12x = 168 \\ x = \frac{168}{12} \\ x = 14[/tex]
Hope this helps..
Good luck on your assignment..
What is the y-intercept of the graph of the function f(x) = x^2 + 3x + 5?
Answer:
(0,5)
Step-by-step explanation:
To find the y-intercept, substitute in 0 for x and solve for y.
y=x^2 + 3x + 5
y=(0)^2 + 3(0) +5
y=0+0+5
y=5
Since there is no x coordinate for a y-intercept, the answer is (0,5)
Answer:
A. (0, -5) is the right answer on edge 2021
Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below.
In January, she used 3/5 of the amount of oil that she used in February.
Fill in the amount of oil that Jackie used in January in the table below.
Month Liters of oil used
january ?
February 2/3
March 1 1/2
Answer:
In January
she used 3/5 of what she used in February.
In February she used 2/3 litres of oil.
So it is 3/5 of 2/3 to find what amount she used in January.
3/5 × 2/3 = 6/15
If we simplify 6/15 we find 2/5 as our answer.
So our answer is 2/5 litres.
A quadrilateral is a parallelogram only if both pairs of opposite sides are equal.
O A. True
O B. False
Answer:
True
Step-by-step explanation:
A parallelogram is a quadrilateral with 4 sides and both pairs of opposite sides are equal.
Answer:
Hey there! The answer to your question will be below.
Step-by-step explanation:
The correct answer would be A. True
Both sides of the opposite sides are equal and has to have 4 sides so a quadrilateral is a parallogram.
A quadrilateral is a parallelogram only if both pairs of opposite sides are equal
= TRUE!
Hope this helps!
By: xBrainly
Helppp!!!! please!!!
============================================================
Explanation:
The trapezoid has base lengths of b1 = 29.2 and b2 = 19. These are the parallel sides. The height is perpendicular to both parallel sides. The height is h = 12.6
Plug these values into the formula below and simplify
A = h*(b1+b2)/2
A = 12.6*(29.2+19)/2
A = 303.66
The length 14.5 is never used to find the trapezoid's area.
how to do this question plz
question 2
Answer:
a) x+3=19
Step-by-step explanation:
a)
x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.
b)
x+3=19
x=19-3
x=16
thus , x is 16 , in other words , Ronald's age is 16.
In circle P, diameter QS measures 20 centimeters. Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees. What is the approximate length of arc QR? Round to the nearest tenth of a centim
Answer:
9.9 cm
Step-by-step explanation:
As we can see in the diagram that the total of straight line has 180 degrees
Therefore ∠RPQ is 180 degrees - 123 degrees = 57 degree
And, arc length is equivalent to the circumference of circle i.e
[tex]= 20\pi \times \frac{57}{360}[/tex]
where,
Pie = 22 by 7
Therefore the approximate length of QR is 9.9 cm
We simply applied the above calculation so that we get to know the length and the same is to be considered
Answer:
A. 9.9 centimeters
Step-by-step explanation:
Just took the Unit Test on Edg (2021)!!
The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 15 , P = 2100 . Work out the speed (to 1 DP) when the power is 2200 watts
Answer:
The speed of the car engine is 15.4m/s
Step-by-step explanation:
Given
Power = 2100; when Speed = 15
Required
Find Speed when Power = 2200
The question says power is proportional to square of speed;
Mathematically;
[tex]Power\ \alpha \ Speed^2[/tex]
Represent Power with P and Speed with S
[tex]P\ \alpha \ S^2[/tex]
Convert proportion to an equation
[tex]P\ = \ kS^2[/tex]
Where k is proportionality constant
Make k the subject of formula
[tex]\frac{P}{S^2} = k[/tex]
When P = 2100 and S = 15
[tex]\frac{2100}{15^2} = k[/tex]
When P = 2200 and S is unknown
[tex]\frac{2200}{S^2} = k[/tex]
Recall that [tex]\frac{2100}{15^2} = k[/tex]
So;
[tex]\frac{2200}{S^2} = k[/tex] becomes
[tex]\frac{2200}{S^2} = \frac{2100}{15^2}[/tex]
Cross Multiply
[tex]S^2 * 2100 = 2200 * 15^2[/tex]
[tex]S^2 * 2100 = 2200 * 225[/tex]
[tex]S^2 * 2100 = 495000[/tex]
Divide both sides by 2100
[tex]S^2 = \frac{495000}{2100}[/tex]
[tex]S^2 =235.714285714[/tex]
Take Square Roots of both sides
[tex]S = \sqrt{235.714285714}[/tex]
[tex]S =15.3529894716[/tex]
[tex]S = 15.4[/tex] (Approximated)
Solve by factorising x^2 + 8x + 15 = 0
Answer:
See below
Step-by-step explanation:
x² + 8x + 15 = 0
x² + 5x + 3x + 15 = 0
x x (x + 5) + 3x + 15 = 0
xx (x + 5) +3 (x + 5) = 0
(x + 5) × (x + 3) = 0 → x + 5 = 0 x + 3 = 0
x = -5
x + 3 = 0
x = -5
x = -3
x1 = -5
x2 = -3
Hope this helped ! :)
Find the perimeter for a square if one side measures: 4.5 cm
Answer:
18 cm.
Step-by-step explanation:
There are four sides on a square, and each side has the same measure as the other three. So, if one side measures 4.5 cm, four sides would be 4 * 4.5 = 4.5 + 4.5 + 4.5 + 4.5 = 9 + 9 = 18 cm
Hope this helps!
Tournament scores for 92 golfers are distributed normally. Two
statistics from this tournament are given below.
mean score 74
standard deviation 2.5
What is the approximate percentage of golfers that scored
between 69 and 79?
A. 27%
B. 68%
C. 74%
D. 95%
Answer: D. 95%
Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.
In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.
A line contains the points (6,8), (-2, k) and (-10, 4). What is the value of k?
Answer:
k = 6
Step-by-step explanation:
Step 1: Find slope m
m = (4 - 8)/(-10 - 6)
m = -4/-16
m = 1/4
y = 1/4x + b
Step 2: Find b
4 = 1/4(-10) + b
4 = -5/2 + b
b = 13/2
Step 3: Rewrite equation
y = 1/4x + 13/2
Step 4: Find k
y = 1/4(-2) + 13/2
y = -1/2 + 13/2
y = 12/2
y = 6
Answer: 6
Step-by-step explanation:
As you move left to right on the x-coordinate, your y value is increasing. If you notice, the x values are increasing by eight at a time. So, if you take the value in between 4 and 8, you get your answer, which is 6.
What is the value of the angle marked with 2?
Answer:
Step-by-step explanation:
Consecutive angles cut by a common transversal are supplementary. That means that
x + 87 =180 Subtract 87 from both sides.
x+87-87=180-87
x = 93
Dos hermanos , Juan de 12 años y Rafael de 15, reciben como herencia de su padre un terreno de cultivo de 36 hectáreas (ha).Si la repartición fue de forma proporcional a sus edades , ¿Cuantas hectáreas le tocará a cada uno?
Answer:
16 hectáreas y 20 hectáreas
Step-by-step explanation:
Aquí, debemos compartir las 36 hectáreas con respecto a la proporción de sus edades.
Lo primero que debe hacer aquí es colocar su edad de lado a lado y encontrar la relación con el término más bajo.
Por lo tanto; 12:15 al término más bajo es 4: 5 Entonces debemos compartir 36 hectáreas en la proporción 4: 5
Primero, sumamos ambos y tenemos 4 + 5 = 9
Entonces; 4/9 * 36 = 16 hectáreas
5/9 * 36 = 20 hectáreas
A group of students takes a test and the average score is 72. One more student takes the test and receives a score of 88 increasing the average score of the group to 76. How many students were in the initial group
Answer:
3 student.
Step-by-step explanation:
From the first statement:
Let the total score be T
Let the total number of student be x
The average of the score = 72
Average = Tota score / number of student
72 = T/x
Cross multiply
T = 72x ..... (1)
Second statement:
One more student took the test and the average becomes 76 with the student having a score of 88.
Therefore,
Overall score = T + 88
Total student = x + 1
Average = 76
Average = overall score / total number of student
76 = (T + 88) /(x + 1)
Cross multiply
76(x + 1) = T + 88
Clear bracket
76x + 76 = T + 88
From equation 1
T = 72x
76x + 76 = 72x + 88
Collect like terms
76x – 72x = 88 – 76
4x = 12
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Therefore, the initial number of the student were 3.
a) digits and letters can be repeated b) digits and letters cannot be repeated Question: 2 letters followed by 6 digits a. a) 67,600.000 b) 78,936,000 b. a) 676,000,000 b) 98,280,000 c. a) 98,280,000 b) 676,000,000 d. a) 78,936,000 b) 67,600,000
Answer:
b.
(a) 676,000,000
(b) 98,280,000.
Step-by-step explanation:
If no repetition the number of possible outcomes is:
26P2 * 10P6
= 650 * 151200
= 98,280,000.
If repetitions are allowed it is:
(650 + 26) * 10^6
= 676 * 1,000,000
= 676,000,000.
Please help ASAP
Areas of Trapezoids, Rhombuses, and Kites
Acellus
Find the area of the rhombus.
5 m
10 m
5 m
10 m
[? ] m2
Enter
Answer:
100 m²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] product of the diagonals
Here the diagonals are 5 + 5 = 10 and 10 + 10 = 20, thus
A = [tex]\frac{1}{2}[/tex] × 10 × 20 = 100 m²
Answer:
10mm or 5
Step-by-step explanation:
because rohumbus has 4 side so u have to mulitpe it by 2 then u have
Which number is greater: 35% or 3.5?
Answer: 3.5
Step-by-step explanation:
On a coordinate plane, 2 polygons are shown. Polygon A B C D is larger than polygon A prime B prime C prime D prime and is reflected across the y-axis to form polygon A prime B prime C prime D prime. Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
I think answer is A.
Correct me if I'm wrong!Hope this helps!
Brainliest would be great!
The composition of similarity transformations that map polygon ABCD and A'B'C'D are
(b) multiply the vertices of polygon ABCD by 1/2(e) Reflect the intermediate imageSimilar triangles may or may not have congruent side lengths.
From the question, we understand that polygon ABCD is twice the size of polygon A'B'C'D.
This means that, the side lengths of polygon ABCD must be dilated by a scale factor of 1/2
Also, the intermediate image of polygon ABCD (after dilation) must be reflected to get polygon A'B'C'D.
Hence, the composition of similarity transformations are (b) and (e)
Read more about transformation at:
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PLEASE HELP ME I BEG
Answer:
12
25
Step-by-step explanation:
Select the correct answer. What is the simplified form of this expression? (9x2 + 10x + 4) − (9x2 + 5x − 1) A. x2 + 5x + 5 B. x2 + 15x + 3 C. 15x + 3 D. 5x + 5
Answer:
D. 5x + 5
Step-by-step explanation:
(9x2 + 10x + 4) − (9x2 + 5x − 1) =
Remove the first set of parentheses since they are unnecessary.
To remove the second set of parentheses, change every sign inside.
= 9x2 + 10x + 4 − 9x2 - 5x + 1
Combine like terms.
= 5x + 5
Answer: D. 5x + 5
The simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1) is 5x+5 option (D) is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2 +bx+c= 0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
[tex]=\rm (9x^2 + 10x + 4) - (9x^2 + 5x- 1)[/tex]
[tex]=\rm 9x^2 + 10x + 4 - 9x^2 - 5x+ 1)\\\\= 5x+5[/tex]
Thus, the simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1) is 5x+5 option (D) is correct.
Learn more about quadratic equations here:
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What is the solution ?
Answer:
C
Step-by-step explanation: