The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km
How to form mathematical expressions from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.
How to find the speed of an object?
If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.
If the object travelled D distance in T units of time, then that object's speed is
[tex]Speed = \dfrac{D}{T}[/tex]
Given that:
Distance from school to home = 5 kmWalking speed = 4 km / hoursCycling speed = 5 times walking speed = 20 km / hourThey all go and come together to and from school/home.On Monday: Nikita and Peter are coming by cycle, and Reeta walks.Cycle punctures at four-fifth of the way home = [tex]\dfrac{4}{5}\times 5[/tex] from school (as they're coming towards home, so went from school)After a puncture, cyclists walk to homeTo find the Distance of Reeta from school when the cyclist reaches home.Suppose at time 0 hours, all three people departed from school (on that Monday).
After 't' hours, suppose the cycle gets punctured.
Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),
then we get:
[tex]S =\dfrac{D}{T}[/tex]
[tex]20=\dfrac{d}{t}[/tex]
d = 20t
This distance is measured from school. But we know that this distance is 4 km, so we get:
20t = 4
t = 1 / 4
The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:
5 = 1 / T
t = 0.2 hours
So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours
Reeta is walking that whole 5 km.
The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.
Thus, we have:
Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:
D = S x T
D = 5 x 0.4 = 2 km
So Reeta was 2 km away from school when cyclists reached home on that Monday.
Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km
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Polynomials & Factoring
(4m+n)(m-2n)
(2a-4b)(7a-2b)
Thank you!
Answer4
m
2
−
7
m
n
−
2
n
2
Step-by-step explanation:
Combine the like terms to create an equivalent expression.
2q+2+92
Answer:
2q + 94
Step-by-step explanation:
2q + 2 + 92 ← collect like terms
= 2q + (2 + 92)
= 2q + 94
Answer:
2q + 94Step-by-step explanation:
2q + 2 + 92
Reorder and group
2q + (2 + 92)
Caculate
2q + 94
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What is the value of s to the nearest whole number? 10 12 13 14
The value of s to the nearest whole number is 14. The correct option is the last option 14
TrigonometryFrom the question, we are to determine the value of s
Using the laws of cosines
a² = b² + c² -2bc Cos A
Then,
s² = 8² + 9² -2(8)(9) cos111°
s² = 64 + 81 - 144 cos111°
s² = 145 - (-51.605)
s² = 145 + 51.605
s² = √196.605
s = 14.0216
s ≅ 14
Hence, the value of s to the nearest whole number is 14. The correct option is the last option 14
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What is the scale factor of (-2,6) and (-10,30) After dilation
Answer: 5
Step-by-step explanation: -2 * 5 = -10 6 * 5 = 30
Answer: [tex]The ~scale~ factor~ is~ 5[/tex]
Step-by-step explanation:
[tex]-2*5 ~is~=-10[/tex]
[tex]6*5=30[/tex]
[tex]We~use~the~distance~formula~to ~determine~the~distance~between ~two ~points.[/tex]
[tex]8\sqrt{10}[/tex]
Alejandro was picked by this teacher to find the integer that has the square root closest to 7, without going over. he wrote 52 on the bored. was he correct? explain your reasoning.
Considering that the square root of 49 is 7, and 52 > 49, Alejandro was not correct, as the correct integer is of 48.
What is the integer that has the square root closest to n, without going over?The integer that has square root n is given by:
S(n) = n².
Hence the closest is given by:
C(n) = n² - 1.
In this problem, we have n = 7, hence:
C(7) = 7² - 1 = 48.
Which means that Alejandro was not correct.
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Ruben had a 18.4 m length of rope. He used 6.4 m of the rope
to make a rope ladder for a playground. He cut the remaining
rope into 2 equal pieces to make tire swings. How long is each
tire swing rope?
Answer:
3.2m
Step-by-step explanation:
First you do 18.4-6.4m, to get the amount of rope left after Ruben has used some to make that rope ladder. Then you get your answer, which in this case is 6.4, and divide it by 2. This way we get the length of one of the two equal lengths. After this we get 3.2m, which is the length of each tire swing rope!
Answer:
6 m.
Step-by-step explanation:
Remaining length = 18.4 - 6.4 = 12 m
So the length of each swing rope
= 12/2
= 6 m.
x⁴-12x²+8=0
(find value of x)
I need help on thiss
Label the X-axis and yaxis
Answer:
The y axis is the vertical line which goes up and down the x axis is the horizantal line which goes side to side or straight across
Step-by-step explanation:
A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi?
31 miles
21 miles
22 miles
32 miles
Answer:
Step-by-step explanation:
36-3=33
33 divided by 1.5 equals 22
answer is 22 miles
Answer:
Step-by-step explanation:
1.5x + 3 = 36
1.5x = 33
x = 22 miles
The coach has $400 to spend on the end of season party. She
purchases awards for $80 and decorations for $35. She will use the
remaining money to order pizza. If pizzas cost $12 each, what is the
most pizzas can she buy?
Um Help please
Long time of Due[31st June]
Answer:
12
Step-by-step explanation:
This a Venn Diagram.....the shaded overlapping area is common to both sets.... it must be a multiple of 3 AND a multiple of 4
12 would work....Right?
Answer:
B. 12.
Step-by-step explanation:
The numbers that will go into the shaded area are those who are divisible by 3 and 4.
12 = (3*4)is the only one in the list.
Hi I really need help with this one
Answer:
GCF: 3 , While answer to addition problem is 36.
Step-by-step explanation:
* Help me with mine please thanks*
find the area of the nearest hundredth use 3.14 for π
Answer:
254.34
Step-by-step explanation:
3.14 x 9^2
or
3.14(9 x 9)
hope this helps
have a good day
At the city museum, child admission is $5.20 and adult admission is $9.50. On Monday, 167 tickets were sold for a total sales of $1,255.40. How many child tickets were sold that day?
Answer: 77 children tickets were sold that day
Step-by-step explanation:
5.20x+9.50y=1255.40
x+y=167
5.20x+9.50(167-x)=1255.40
x+y=167 5.20x+1586.50-9.50x=1255.40
-x -x -4.30x+1586.50=1255.40
y=167-x -1586.50 -1586.50
-4.30x=-331.1
-4.30 -4.30
x=77
(06.01 MC)What is the value of the expression 2 + 32 ⋅ (3 − 1)?
20
22
23
32
Answer:
22
Step-by-step explanation:
3-1=2
2+3^2 x 2
3x3=9
2+9 x2
11x2=22
Jorge earns $12 an hour. deductions
for taxes and insurance take 25% of
his earnings. which equation could be
solved to find jorge's take-home pay, p,
after h hours of work?
Answer:
%25 of $12 an hour = 3
Help me solve this problem please
Answer :
C
Explanation :
The question given in C is statistical as compares the data in an item out of a set
What is the value of the expression 30-(-6)?
0 -180
O -5
O 5
O 24
Answer:
36? its not on there but that is it.
The ratio of the distance around a circle, the circumference, to the distance across a circle, the diameter, is represented by the Greek letter a. If the circumference of a circle is 6.28 inches and the diameter of the same circle is 2 inches, what is the approximate value of a to two decimal places?
Answer:
3.14 inches
Step-by-step explanation:
diameter=2inches radius =1
The formula for circumference of a circle with radius r is 2πr.
The formula for the area of a circle with radius r is πr²
π≈3.14
So the radius of our circle is
6.28/2π
≈6.28/2×3.14=1
its area is πr²
≈3.14×1²=3.14
will give brainliest!!! Help pls!
Answer:
I notice that square 3 plus square 2 equals square 1, the biggest square. That must mean that the third square, squared, plus the second square, squared, equals the biggest square, squared, which is square c.
If Sam can read 20 pages in 30 minutes, how many hours will it take Sam to read 200 pages?
For any positive numbers a,b, and d, with b=1, logb a+logb d=
Answer the right answer is a
PLEASE HELP WILL GIVE BRAINLEST!
Answer:
5[tex]\pi[/tex]/12 rad
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
75(π/180) = 5π/12 radians
arc length = central angle (2πr)
360
measure of the inscribed angle = 75º
measure of the central angle = 150º
arc length = 150 (2π1000)
360
arc length = (5/12)
Mr. Robinson sets 36 glasses on
a table. He puts the same number
of glasses in each of 9 rows. How
many glasses does he put in
each row?
Jocelyn decides to research the relationship between the length in inches and the weight of a certain species of catfish. She measures the length and weight of a number of specimens she catches, then throws back into the water. After plotting all her data, she draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 32 inches would weigh?
The amount I can predict a catfish with a length of 32 inches would weigh is 28in.
What is the catfish measurement about?Let say the fraction is = yx + b
m = [tex]\frac{20-4}{23-20}[/tex]
= 6/3
=2
Note also that 4= 2 x 20 x b
Make b the subject of the formula and it will be=
B= -36
Therefore, the function will be:
Y= 2x - 36
If x = 32
Then y = 2. 32 - 36
=28
Therefore, the amount I can predict a catfish with a length of 32 inches would weigh is 28in.
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find the unit vector in the direction of v= 2i+ j + k
Factor −4 out of −24a−44.
Answer:
6a+11
Step-by-step explanation:
-24a-44/-4
=
6a+11
have a wonderful day :))
Answer:
-4(6a + 11)
-Step-by-step explanation:
−24a − 44 if −4 is factored out than...
-4 times ____ = -24a
-4x = -24 → divided both sides by -4
-4x / -4 = -24 / -4 → x = 6
-4 times 6 = -24a
-4 times ____ = -44
-4x = -44 → divided both sides by -4
-4x / -4 = -44 / -4 → x = 11
-4 times 11 = -44
combine: -4 x 6a - 4 x 11
The radius of a circle is 1 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
The circumference is 6.3 in
The circumference of the circle is given by the equation C = 6.3 inches
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circumference of the circle be represented as C
Now , the equation will be
Let the radius of the circle be r = 1 inch
Now , circumference of circle = 2πr
Substituting the values in the equation , we get
The circumference of the circle C = 2 ( 3.14159 ) x 1
On simplifying the equation , we get
The circumference of the circle C = 6.3 inches
Hence , the circumference of the circle is 6.3 inches
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A teacher administers three different versions of a test to his students. The two-way table shows the results. Find each probability.
Part A. P(pass | Test A)
The probability is ___%
Part B. P(pass | Test A)
The probability is ___%
SHOW ALL WORK
The P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%, and P(pass | Test C) is 22.07%
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Part A:
Total number of students = 154
Total number of students passed the test = 49
The probability:
P(pass | Test A) = 49/154 = 31.81%
Part B:
Total number of students = 154
Total number of students passed the test = 46
The probability:
P(pass | Test B) = 46/154 = 29.87%
Similarly, for the probability:
P(pass | Test C) = 34/154 = 22.07%
Thus, the P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%, and P(pass | Test C) is 22.07%
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