Answer:
3.75 hours
Step-by-step explanation:
Using the relation
Distance = speed × time
Change Jasmine's speed into an improper fraction
9 [tex]\frac{3}{10}[/tex] = [tex]\frac{93}{10}[/tex], then
distance = [tex]\frac{93}{10}[/tex] × [tex]\frac{5}{2}[/tex] = [tex]\frac{93}{4}[/tex] miles
To calculate Lucy's time over the same distance use
Time = [tex]\frac{distance}{speed}[/tex]
Change speed to an improper fraction
6 [tex]\frac{1}{5}[/tex] = [tex]\frac{31}{5}[/tex], hence
time = [tex]\frac{\frac{93}{4} }{\frac{31}{5} }[/tex]
= [tex]\frac{93}{4}[/tex] × [tex]\frac{5}{31}[/tex] ( cancel 93 and 31 )
= [tex]\frac{3(5)}{4}[/tex]
= [tex]\frac{15}{4}[/tex] = 3.75 hours
Final answer:
It took Lucy approximately 160.17 minutes to bike the trail.
Explanation:
Jasmine finished the bike trail in 2.5 hours at an average rate of 9 3/10 miles per hour. Lucy biked the same trail at a rate of 6 1/5 miles per hour. To find out how long it took Lucy to bike the trail, we can use the formula:
Time = Distance / Rate
Since the distance is the same for both Jasmine and Lucy, we can set up an equation:
2.5 = Distance / 6 1/5
To solve this equation, we first need to convert 2.5 into a fraction. 2.5 is the same as 2 1/2. So, the equation becomes:
2 1/2 = Distance / 6 1/5
To make the equation easier to work with, we can convert 2 1/2 into an improper fraction: 2 1/2 = 5/2. The equation now becomes:
5/2 = Distance / 6 1/5
To solve for Distance, we can use cross-multiplication:
(5/2)(6 1/5) = Distance
Simplifying the right side of the equation:
(5/2)(31/5) = Distance
(5/1)(31/5) = Distance
31 = Distance
So, the distance of the bike trail is 31 miles. Now, we can find out how long it took Lucy to bike the trail by using the formula Time = Distance / Rate:
Time = 31 / 6 1/5
Once again, let's convert 31 into a fraction: 31 = 31/1. The equation now becomes:
Time = 31/1 / 6 1/5
To divide fractions, we can multiply by the reciprocal of the second fraction. So, the equation becomes:
Time = 31/1 * 5 1/6
Now, we can convert 5 1/6 into an improper fraction: 5 1/6 = 31/6. The equation now becomes:
Time = 31/1 * 31/6
To multiply fractions, we can multiply the numerators together and the denominators together. So, the equation becomes:
Time = (31*31) / (1*6)
Calculating the numerator and denominator separately:
Time = 961 / 6
So, it took Lucy approximately 160.17 minutes to bike the trail.
URGENT EASY 59 POINTS What is the distance between the points (5, 14) and (18, 3)?
Answer:
[tex]\large\boxed{\sqrt{290}}[/tex]
Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points (5, 14) and (18, 3). Substitute:
[tex]d=\sqrt{(18-5)^2+(3-14)^2}=\sqrt{13^2+(-11)^2}=\sqrt{169+121}=\sqrt{290}[/tex]
Answer:
17.03
Step-by-step explanation:
Hope this helped!
PLEASE HELP ASAP
Evaluate the expression. 8(12 + 4)0 − 4(8 + 3)0
A) 0
B) 1
C) 2
D) 4
A I think cuz both are multiplied by 0
A quadrilateral has angle measures of 102°, 84°, and 77°. What is the measure of the fourth angle?
Answer:
Measure of the 4th angle = 360-(102+84+77)
= 360-263
= 97°
Hope this helps!
Determine whether the table could represent a function that is linear, exponential, or neither. If the function is exponential or linear, find a function that passes through the points. If the function is neither exponential nor linear, type NONE.
x 1 2 3 4
f(x)70 40 10 -20
f(x)=
Answer:
Linear
y = -30x + 100
Step-by-step explanation:
The table has a set of inputs with matching outputs. The behavior of the outputs will determine the type of function. The outputs appear to descend at a constant subtraction rate of -30 each time.
70 - 30 = 40
40 - 30 = 10
10 - 30 = -20
etc.
A constant addition or subtraction rate is a slope. Since the function has a slope, this is a linear function.
To write the function you'll need a slope and a y-intercept. Recall, the y-intercept is where x = 0. This is not in the table but can be found by reversing the process by adding 30 + 70 = 100.
Substitute m = -30 and b = 100 into y = mx+b for the equation.
y = -30x + 100
Answer:
Step-by-step explanation:
the answer is f(x)= 100-30x
Find the surface area of a cylinder
Answer:
Surface area = 207.24 in²
Step-by-step explanation:
Remember to always convert the diameter into a radius.
D = 6 in (divide it by two to get the radius) R = 3 in
Radius = 3 in
Formula:
SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²
Solution:
SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²
SA = 2(3.14)(3)(8) + 2(3.14)(3)
SA = 2(3.14)(3)(8) + 2(3.14)(9)
SA = 150.72 + 56.52
SA = 207.24 in²
Brainliest! To best answer! Better answer fast or no brainliest!
Which of the following is a statistical question?
A.
How many questions are there on Ben's math test?
B.
What are the shoe sizes of players on the soccer team?
C.
How many chocolates did Bertha sell today?
D.
How many students are there in Kathy's class?
Answer:
B
Step-by-step explanation:
A statistical question has to be a question that can be answered by collecting data that varies.
Answer:
B. What are the shoe sizes of players on the soccer team?
Step-by-step explanation:
A statistical question is one that can be answered by collecting data and where that data will vary.
We do not need to collect data to determine the number of questions on Ben's math test.
There is no variability in the number of chocolates Bertha sells in one day, nor in the number of students in Kathy's class.
To determine the shoe sizes of players on the soccer team, we must collect the data and the data will vary from player to player. This is the statistical question.
What is the solution to the proportion 8/x = 4/5
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ Since 8/x is two times the size of 4/5, you multiply by 2
4/5=8/10
X=10
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
The perimeter of a square is 76.4m calculate the length of its diagonal
Answer: About 27.01
Step-by-step explanation: The way to find the diagonal is to multiply one side of the square by the sq. rt. of 2. First, we had to find one side of the square, which would be 76.4 divided by 4, then multiply that by the square root of 2.
76.4 / 4 = 19.1
19.1 x sq. rt. of 2 = 27.0114790413, or about 27.01
A circus had 40 lions. If the ratio of lions to monkeys was 4:9, how many lions and monkeys are there?
Answer:
90 monkeys
Step-by-step explanation:
If the circus has 40 lions (4*10) = 40
Lions would also multiply by 10 (9*10) = 90
Both sides must be multiplied by the same number to be consistent.
Between what two consecutive integers does .... lies?
Answer: third option
Step-by-step explanation:
To solve the exercise you must apply the proccedure shown below:
- Find the value of irrational number given in the problem (By definition, an irrational number cannot be written as a simple fraction, where the numerator and the denominators are integer.
- Then the value in decimal number is the following:
[tex]\sqrt{115}=10.72[/tex]
- The number 10.72 is located between the integer 10 and the integer 11.
he product of ten and a number is greater than the difference of four times the number and two.
Answer:
You can use 1 as a solution.
Step-by-step explanation:
10 + 1 = 11
1 * 4 = 4
4 - 2 = 2
11 > 2
Add. Write your answer as a fraction in simplest form. 9/10 +(− 4/5 )
Step-by-step explanation:
9/10 + (-4/5)
1. Use the least common denominator (LCD): 10
9/10 + (-8/10)
2. Remove the parentheses:
9/10 - 8/10
3. Simplify:
= 1/10
Hope this Helped!!
~Shane
need help with number 29
Answer:
9c
Step-by-step explanation:
Collecting like terms
We can do 8-6 which is 2
and then 2 add 7 which is 9
Add c
A. What is the name of the 3D shape?
b. What is the formula for total surface area for this shape?
c. What is the surface area of the figure?
Check the picture below.
so then, let's notice, this triangular prism is really just 2 triangles and 3 rectangles stacked up to each other at the edges.
so if we simply get the area of each of those figures, and sum them up, that'd be the area of the prism.
notice, the triangles have a base of 4 and a height/altitude of 3.
[tex]\bf \stackrel{\textit{2 triangles}}{2\left[ \cfrac{1}{2}(4)(3) \right]}~~+~~\stackrel{\textit{inclined rectangle}}{(5\cdot 11)}~~+~~\stackrel{\textit{ground rectangle}}{(4\cdot 11)}~~+~~\stackrel{\textit{standing rectangle}}{(3\cdot 11)} \\\\\\ 12+55+44+33\implies 67+77\implies 144[/tex]
HELP PLEASE 3 QUESTIONS (30 POINTS)
Answer:
1.) A
2.) B I Think
3.) B
Answer:
1. a / 2. c / 3. b
Step-by-step explanation:
Please help me with this math homework
Basically you have to find the graph that goes through the middle of the line or points to it.
I know you can do it! If you have any questions just reply.
Please help?? Thank you very much in advance
all i can say is the square root of 17 is 4.1 thats all i know
Answer:
C
Step-by-step explanation:
Use the distance formula.
We have the points (0,0) and (8,sqrt17)
This basically means sqrt(8^2+sqrt(17)^2)
Which amounts to
sqrt(64+17)
Which is
sqrt(81)
Which is 9.
the inequality 6-2/3
16 over 3 is the answer u write the numerator above the denominator 6 over 1 minus 2 over 3 6 times 3 over 1 x3 minus 2 over 3 u get 18 minus 2 over 3 and subtract 18 and 2 u get 16 over 3
Answer:
x>9
Step-by-step explanation:
Simplify 2/3
(6 - (— • x)) - (x - 9) < 0
3
Type in all the digits of Pi
I have a picture. Type in all of them. Get 30 points.
Answer:
PI= 3.1415926535897932384624338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058
Pi is a Mathematics constant that represents the ratio of a circle's circumference to its diameter. Its decimal representation is approximately 3.14.
The value of Pi is a mathematical constant that represents the ratio of a circle's circumference to its diameter.
The decimal representation of Pi is approximately 3.14159265358979323846264338327.
However, it is important to note that Pi is an irrational number, which means its decimal representation goes on infinitely without repeating.
Learn more about Mathematics here:
https://brainly.com/question/27235369
#SPJ12
The probable question may be:
Type in all the digits of Pi
I have a picture. Type in all of them. Get 30 points.
A slice of PI
******************
****************
3.14159265358979
323846264338327
95028841971693
9937510582097
494459230781
64062862089
9862803482
534211706
79821480
8651328
230664
70938
4460
955
05
8
How many oatmeal cookies are @ the party?
Answer:
15 oatmeal
Step-by-step explanation:
Add by 5 for each one
Answer: 15 Oatmeal Cookies
Step-by-step explanation: 8 Boxes 3 Boxes For Oatmeal Rasian 3x5 = 15
Plz help me with it
Answer: [tex]\bold{2\sqrt[3]{15} }[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{10} \cdot \sqrt[3]{12} =\sqrt[3]{2\cdot 5\cdot 2\cdot 2\cdot 3} =2\sqrt[3]{3\cdot 5} =\boxed{2\sqrt[3]{15}}[/tex]
given 8y — 6x =8 :
A) transform the equation into slope-intercept form.
b) find the slope and y-intercept of the line.
c) what is the slope of a line parallel to this line?
d) what is the slope of a line perpendicular to this line ?
e) find the equation, in point-slope form, of the line that is perpendicular to this line and passes through the point (0,2).
Answer:
Step-by-step explanation:
A: slope-intercept form: Solve 8y — 6x =8 for y, as follows: 8y = 6x + 8, so that y = (3/4)x + 1.
B: Slope: 3/4; y-intercept: (0, 1)
C: Any line parallel to this line has the same slope, namely, 3/4.
D: Any line perpendicular to this line has a slope that is the negative reciprocal of 3/4; that is, the slope of the perp. line is -4/3.
Part A: Explain how to determine the value of the vertical translation, d, for the graph of g(x). (2 points)
Part B: Explain how to determine the value of the vertical translation, d, for the graph of f(x) = 2sin(θ + 120°) + 6. (3 points)
Answer:
Part A: Up 9
Part B: Up 6
Step-by-step explanation:
Part A: The graph appears to be a cosine graph since it starts at a peak on the y-axis. Normally a cosine graph starts at (0,1). This graph begins at (0,10). It has been shifted up y a translation by 9.
Part B: Each trig equation has a basic structure f(x) = a sin (x+b) + k where:
a is the vertical stretchb is the horizontal shiftk is the vertical shiftA vertical translation is a vertical shift and is represented by the value in k added outside of the function. In the equation f(x) = 2sin(θ + 120°) + 6, k = 6. The vertical translation is 6.
Need so much help with number 3
Answer:
Judy is 12 Years old.
Step-by-step explanation:
Add up all the ages and you get 43 years old. Subtract 55 by the 43 to get 12 meaning Judy is 12. Please mark brainliest.
Answer:
Judy's age is 12 years old
Step-by-step explanation:
to find the average you need to add all numbers up ans then divide by how many there are.
10 + 10 + 11 + 12 + 12 = 55/5 = 11
hope this helps
Factor. 49x16−16y64
Answer:
(7x8 + 4y32) • (7x8 - 4y32)
Step-by-step explanation:
P.1 (49 • (x16)) - 24y64
P.2 72x16 - 24y64
P.3 (7x8 +4y32) • (7x8 - 4y32)
Janet is 6 years younger than Safiya.How old is each girl if the suk of their ages is 26
Answer:
20. 26-6=20
Step-by-step explanation:
Please help find missing angle
Answer:
[tex]\frac{24}{7}=b[/tex]
Step-by-step explanation:
We are given a right angled triangle.
Hypotenuse = c = [tex]\frac{25}{7}[/tex]
Base = a = 1
Now we are supposed to find the perpendicular i.e. b
So, we will use Pythagoras Theorem :
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]c^2=b^2+a^2[/tex]
[tex](\frac{25}{7})^2=b^2+1^2[/tex]
[tex]\frac{625}{49}=b^2+1[/tex]
[tex]\sqrt{\frac{625}{49}-1}=b[/tex]
[tex]\frac{24}{7}=b[/tex]
Hence the missing length is [tex]\frac{24}{7}[/tex].
what is w + 5? I need help!
The volume of a cube can be found using the equation V=S3, where V is the volume and Sis the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description.
Answer:
s = ∛729 in³
Step-by-step explanation:
Since the volume is 729 in³, our equation can be plugged into:
729 = s³.
Isolate s by cube rooting each side: ∛729 = s.
can someone find the volume of this pyramid?
Check the picture below.
now, let's notice the triangle on the base.... is an isosceles, two sides are twins, and therefore, the two angles they make out are also twins, so, if the central angle is 100°, the other angles are each 80°/2, namely 40°, therefore, using the law of sines,
[tex]\bf \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{sin(100^o)}{2.5}=\cfrac{sin(40^o)}{r}\implies r\cdot sin(100^o)=2.5\cdot sin(40^o) \\\\\\ r=\cfrac{2.5\cdot sin(40^o)}{sin(100^o)}\implies \boxed{r\approx 1.63}[/tex]
now, let's notice the shaded triangle, namely the one with 35°, is a right-triangle, namely one angle is 35°, another 90°, so the last one must be 55°.
the opposite side to the 35° is "r", which we know is about 1.63, so again, let's use the law of sines to find the side "h",
[tex]\bf \cfrac{r}{sin(35^o)}=\cfrac{h}{sin(55^o)}\implies r\cdot sin(55^o)=h\cdot sin(35^o) \\\\\\ \cfrac{r\cdot sin(55^o)}{sin(35^o)}=h\implies \cfrac{1.63\cdot sin(55^o)}{sin(35^o)}\approx h\implies \boxed{2.33\approx h} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a circular cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r\approx 1.63\\ h\approx 2.33 \end{cases}\implies V\approx \cfrac{\pi (1.63)^2(2.33)}{3}\implies \blacktriangleright V\approx 6.48 \blacktriangleleft[/tex]
make sure your calculator is in Degree mode.