Answer:
Swimming speed, S = 1.50 km/hr
Step-by-step explanation:
Let Kailee's running speed be R
Let Kailee's biking speed be B
Let Kailee's swimming speed be S
Given the following data;
Time for swimming = 1 hour.
Time for biking = 1.75 hour.
Time for running = 1 hour.
Total distance = 55.5km
Translating the word problem into an algebraic equation, we have;
Biking speed = 2*8S = 16S
Running speed = 8S
We know that the distance covered by an object or body is given by the formula;
[tex] Distance = speed * time[/tex]
Now we would find the distance covered in each activity (biking, running and swimming).
For biking;
[tex] Distance, D_{1} = 1.75*16S [/tex]
Distance, [tex] D_{1} [/tex] = 28S
For running;
[tex] Distance, D_{2} = 1*8S[/tex]
Distance, [tex] D_{2} [/tex] = 8S
For swimming;
[tex] Distance, D_{3} = 1*S[/tex]
Distance, [tex] D_{3} [/tex] = S
The equation for the total distance covered in the triathlon is given by;
Total distance = sum of all distances covered
[tex] Total distance = D_{1} + D_{2} + D_{3} [/tex]
Substituting into the equation, we have;
[tex] 55.5 = 28S + 8S + S[/tex]
[tex] 55.5 = 37S[/tex]
[tex] S = \frac {55.5}{37} [/tex]
S = 1.50 km/hr
Therefore, Kailee’s average swimming speed is 1.50 kilometers per hour.
' the length of one side of an equilateral is 3x+2. its perimeter is 60 centimeters. write an equation that could be used to find the value of x. solve for x and then find the length of the side. ''
I need to find the equation and the side length :')
also please answer this quickly hhhhhhhhhhhhh
Answer:
Step-by-step explanation:
Triangle equilateral has 3 sides
3(3x+2) = 60
9x+6 =60
9x= 54
x=9
3x9 +2 = 20 One side = 20
20x3=60 3 sides = 60
Answer:
60
Step-by-step explanation: this is simple because it is lou
A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation p(t)=20,000(2)^t/10, where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is p(t)=20,000(2)^t-7/10. Which of the following is an equivalent form of the equation for the population of sample 2?
Answer
p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think
Step-by-step explanation:
find the solutions of the quadratic equation 3x^2-4x+4=0
Answer:
2.3
Step-by-step explanation: if your finding the decimal 2.3 will be your answer if not then sorry
can someone help me answer question 7 and 8. ill give a braniest to whoever can get them both correct. tysm if you help me :)
Step-by-step explanation:
7question.
it's the first answer y=x-10/3
8th question
it's also first answer y=x-9/2
35x-12= -34x+710 answer fast too
Answer:
x=722/69
Step-by-step explanation:
simplify!!
6x - 2+7x
Answer:
13x-2
Step-by-step explanation:
Answer:
13x - 2
Step-by-step explanation:
6x - 2 + 7x
13x - 2
The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B
Answer:
[tex]\overline{GB}[/tex] = 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;
[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property
∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency
∴ [tex]\overline{GB}[/tex] = 9.
Explain answer
GIVING BRAINIEST
Answer:
The slope of the line is 2. To find the slope I marked two points on the line, which were (-3, 0) and (-2, 2). Then I used the [tex]\frac{Rise}{Run}[/tex] technique. Moving up 2 units and to the right 1 unit, which would be represented by [tex]\frac{2}{1}[/tex].
The slope of the line graphed below would be 2.
Using the formula Rise/Run, you can solve the slope using the graph. The Rise would be equal to 2 units, with the Run being one. This means that for every 1 unit on the x-axis, there are 2 units displaced on the y-axis. Therefore, the slope would be 2/1.
3 +5.2.c = 1 - 2.87
Answer:
-0.0936538462
Step-by-step explanation:
Start by solving the right side of the equation
1 - 2.87 = -1.87
now we have:
3 + 5.2c = -1.87
subtract 3 from both sides to get:
5.2c = -4.87
divide both sides by 5.2 to get:
-0.0936538462
hope that's what you're looking for! :)
What is the answer to this I need help ASAP lol thanks :)
Answer:
you can count by groups of 9 and there would be 4 groups
9 + 9 + 9 +9 = 36 and 36/9 = 4
WHO LIKES LARRAY
Cause I do
I WILL GIVE BARINLEST WHO HELP ME OK
Answer:
100
Step-by-step explanation:
multiplication, 20*5.
Answer:
i would go with 100
Step-by-step explanation:
20 times 5
ASAP When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?
A) -0.8x+4.8y+16
B) 0.8x-4.8y+16
C) -0.8x-4.8y+4
D) 0.8x+4.8y+4
Answer:
The answer is A.
Step-by-step explanation:
4(0.5x+2.5y-0.7x-1.3y+4)
2x+10y+-2.8x+-5.2y+16
2x-2.8x+10y-5.2y+16
= -0.8x+4.8y+16
Please answer!!! Will mark brainiest!!
Answer:
I think it is D. 9/15 * 14/20
9514 1404 393
Answer:
C. 3/10 * 2/5
Step-by-step explanation:
3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.
2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.
The area of overlap is 6 of the 50 small boxes, so represents the product ...
3/10 * 2/5 = 6/50
solve the inequality for 1x + 2 > 10
Answer:
x>8
Step-by-step explanation:
Hope that helps you!!
A shark was swimming 33ft below the surface of the water. It swam up 18ft to feed
on some fish, then dove down 5ft. Where is the shark now?
Need explanation for how to find "E"(in the picture attached), and how to calculate "sin".
Answer:
Step-by-step explanation:
E is just that Vertex/Angle.
[tex]sin[/tex] is a measure of an angle.
You should learn SOHCAHTOA
[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]
The opposite side is relative to the angle.
In this case, the opposite of E is 20
The hypotenuse is 29
so,
[tex]sin(E)= \frac{20}{29}[/tex]
In which figure is point G a centroid?
a
b
c
d
Answer:
Step-by-step explanation:
You didn't provide us with correct choice
The centroid of a triangle is the point of intersection of its medians.
The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.
The figure whose centroid is point G is triangle LMN.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, From the attached image, we have the following highlights
There is no evidence that the lines that pass through point G divides the three sides of triangle ABC into equal halves
The lines that pass through point G divides the three sides of triangle LMN into equal halves
The above highlights mean that:
Point G is the centroid of triangle LMN.
Hence, the figure whose centroid is point G is triangle LMN.
Read more about centroids at:
brainly.com/question/1189196
#SPJ5
kate ran 4 miles how far did she run in kilometers
Answer:
6.4
Step-by-step explanation:
Answer:
6.5 kilometers
Step-by-step explanation:
Thomas has a bag with 6 purple and 5 blue marbles. If his friend Nick pulls 2 marbles from the bag, what is the probability of him getting 2 purple marbles. 30/121 30/121 21/22 21/22 3/11 3/11 11/21
Answer: 3/11
Step-by-step explanation:
Number of purple marbles = 6
Number of blue marbles = 5
Total number of marbles = 6 + 5 = 11
The probability of picking the dust purple marble will be 6/11. After a purple marvel has been picked, there'll be 5 purple marbles left and the total number of marbles will be 10, therefore the probability of picking the second purple marble will be 5/10.
Therefore we then multiply the probability of picking the first purple marble by the probability of picking the second purple marble. This will be:
= 6/11 × 5/10
= 6/11 × 1/2
= 3/11
2 1/3 ×4 1/5
WHO EVER IS CORRECT I WILL GIVE BRAINIEST
Answer:
So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]
Step-by-step explanation:
We need to solve the given equation: [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex]
First converting mixed fractions into improper fractions
[tex]\frac{7}{3} \times \frac{21}{5}[/tex]
Since 21 is divisible by 3 so, simplifying and multiplying
[tex]=7 \times \frac{7}{5} \\=\frac{49}{5} \\=9\frac{4}{5}[/tex]
So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]
Find the value of X
7/x-10 = 3/6
Answer:
2/3
Step-by-step explanation:
7/x -10 = 3/6
7/x =3/6 +10
7/x = 63/6
42 = 63x
x = 42/63 or 2/3
Answer:
2/3
Step-by-step explanation:
17,18,19,20,21,22,23,24. 1.From the list of numbers write down a number that is a factor of 20. 2. From the list of numbers in the list, which is a multiple of both 3 and 7
Problem 1
Answer: 20--------------------------
Explanation:
The factors of 20 are 1,2,4,5,10,20
They are numbers that pair up to multiply to 20. For instance, 5*4 = 20. We only focus on whole numbers.
In the list given to us, we see that only 20 is a factor of 20. Something like 17 is not a factor of 20, and so on for the other values.
==========================================
Problem 2
Answer: 21--------------------------
Explanation:
List out the multiples of 3 to get {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...}
The stuff in bold are values found in the original list.
Now list out the multiples of 7 to get {7, 14, 21, 28, 35, 42, ...}
We can see that only 21 is found in both lists of multiples we wrote out.
Note how 3*7 = 21, which is not a coincidence.
Write the definition of "Absolute Value” in your own words.
A number's absolute value means the distance from 0. -6 is 6 units away from 0 units. The absolute value of -6, then, is 6. There's no negative distance you can have, so it has to be positive.
Answer:
a real number without regard to its sign.
which of the following is the value of the expression 2x exponent2+1,when x =2
Answer:
9
Step-by-step explanation:
use pemdas to evaluate..
2x^2 + 1
2(2)^2 + 1
2(4) + 1
8 + 1 = 9
factor 36a^2x - b^2
Answer:
36a2 - b2
Step-by-step explanation:
( 6a + b)( 6a - b)
36a2 - b2
6^2 a2 - b^2
x2 y2 = (xy)2
(6a)2 - b^2
(6a + b)(6a - b)
Hope that helps :)
why is math so hard these days?
Answer:
It's because someone added LETTERS to math.
Step-by-step explanation:
I know this because I'm suffering from this.
A brainliest for this doggo is a bone! This doggo would appreciate a bone!
M: Mental
A: Abuse
T: To
H: Humans
Answer:
Advancement in human mathematics
Step-by-step explanation:
Sergio works at an ice cream shop and is paid by the hour. m = 11h, where h represents the number of hours worked, and m represents the amount of money Sergio was paid. How much did Sergio make in one hour?
Answer:
he made 11 dollars
Step-by-step explanation:
the number that is touching the h is how much he is making in a hour.
HELP ASAP PLS AMD THANK YOU
3,4,4,6,8,9 work out the median
Answer: suckkkkkkkdbejehejjssjsj
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
just trust me