The jogging speed of the jogger is 6 miles/hour.
Given that:-
Distance from home to park = 12 miles
Distance from park tp home from a different route = 18 miles
It is also given that the time taken to reach home from park is 1 hour longer than the number of hours taken to reach park from home.
We have to find the speed of the jogger.
Let the time taken by jogger to reach park from home be t hours.
Hence, according to the data given in the question,
Time taken by jogger to reach home from park is (t+2) hours.
We know that,
Speed = distance/time
We know that the speed of jogger in each route is same.
Hence, we can write,
12/t = 18/(t+1)
2/t = 3/(t+1)
2(t+1) = 3t
2t+2 = 3t
t = 2 hours.
Hence, speed of the jogger = 12/2 = 6 = 18/(2+1) = 18/3.
To learn more about speed, here:-
https://brainly.com/question/28224010
#SPJ4
Problem Solving
Use the table for Exercises
13-16 that shows the average
weights of popular dog breeds.
13. Complete the table.
14. Which weight(s) have a prime
factorization of exactly three
factors?
Breed
Cocker Spaniel
German Shepherd
Labrador Retriever
Beagle
Golden Retriever
Siberian Husky
Weight (lb)
20
81
67
25
70
50
Prime Factorization
Prime numbers are those numbers that are divisible only by the number itself and by 1. Such numbers are 2, 3, 5, and 7 etc.
Factorization is when we write a given mathematical term in product of its various factors. Suppose we are provided with a mathematical expression of:
x^2 + 3x + 2
We will undergo its Factorization and write the expression in its possible factors:
( x + 1 ) ( x + 2)
By multiplying these factors, we will get the actual expression x^2 + 3x + 2.
Prime Factorization is a method of identifying which prime numbers multiply together to give the original value/expression.
Suppose we have a number 60, then the prime factors of it will be:
60
6 x 10
2 x 3 2 x 5
In the problem statement above, we are provided with some popular dog breeds, and we are expected to find the prime factors of each of the given weights of the breed.
The weights that have a prime factorization of exactly three number are as follows:
Prime factors of 20 (Cocker Spaniel)
= 2 x 2 x 5
Prime factors of 50 (Siberian Husky)
= 2 x 5 x 5
Prime factors of 70 (Golden Retriever)
= 2 x 5 x 7
Weights that have the same number in their prime factorization are:
Prime factors of 81 (German Shepherd)
= 3 x 3 x 3 x 3
Prime factors of 25 (Beagle)
= 5 x 5
So, the prime factorization of the weights of the dog breeds are being found. While Labrador Retriever 67 is a prime number itself.
More problems involving prime numbers are given in the link below.
https://brainly.com/question/9315685?referrer=searchResults
#SPJ4
I need help…………………..
Answer:
I believe its 3.5, 6
Step-by-step explanation:
the right arrow points to the last box and after 4 it goes to 5 then 6
the left arrow points at the 3 quarters between 4 and 2 so it's technically 3.5
hope it helps!
2+z×−1/3=3 please help
2 + z * −1/3 = 3
if that is how it is grouped, your answer is -3
Write each equation in logarithmic form.
1/10=10⁻¹
The logarithmic form of the equation is [tex]log_{10}\frac{1}{10}=-1[/tex] .
In mathematics, the logarithmic function is the inverse of power. Then the function is given as f(x) = log x The logarithm base is a. This can be read as the logarithmic base a of x. The two most common bases used in logarithmic functions are base 10 and base e. The logarithm function has several properties that allow the logarithm to be simplified when the input is in the form of products, quotients, or values raised to powers.We have given an equation [tex]\frac{1}{10} =10^{-1}}[/tex] .
Taking log on both sides , we get
[tex]log(\frac{1}{10}) =log(10^{-1})[/tex] ..(1)
Applying the property of logarithm which is given by [tex]loga^b=bloga[/tex] in equation (1) ,we get
[tex]log(\frac{1}{10}) =-log(10)[/tex]
On rearranging the above equation , we get
[tex]\frac{log(\frac{1}{10})}{log10} =-1[/tex] ..(2)
Applying the property of logarithm which is given by [tex]log_xy=\frac{log_ay}{log_ax}[/tex]\
[tex]\frac{log(\frac{1}{10})}{log10}[/tex] can be written as [tex]log_{10}\frac{1}{10}[/tex] using property
Putting in equation (2) , we get
[tex]log_{10}\frac{1}{10}=-1[/tex]
Learn more about logarithmic form here :
https://brainly.com/question/13845508
#SPJ4
A sack of bread flour weighs 50. lbs. and costs $9.75.
What is the cost per pound of flour?
What is the cost per ounce of flour?
The cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.
The cost per pound of flour and cost per ounce of flourWeight of a sack of bread flour = 50 lbsCost of a sack of bread flour = $9.75The cost per pound of flour = Cost of a sack of bread flour / Weight of a sack of bread flour
= $9.75 / 50 lbs
= $0.195 per pound
Convert pound(lbs) to ounce:1 pound = 16 ounces
50 pounds = 50 × 16
= 800 ounces
The cost per ounce of flour = Cost of a sack of bread flour / Weight of a sack of bread flour
= $9.75 / 800
= 0.0121875 per ounces
What is unit cost?This is the cost to acquire a unit of a good or service for a specific quantity that is purchased.
Therefore, the cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.
Learn more on unit price:
https://brainly.com/question/14286952
#SPJ1
A batting average is the ratio of hits to at bats batting averages are expressed as a decimal rounded to the nearest thousandth show two differnt ways if finding how much grater derek jeters batting average than jorge posadas batting average express as a percent
Derek Jeter average was 4.9%greater than Jorge Posada 4.9% expressed as a percent.
To express decimal as percent we need to multiply the decimal with 100 .
The average or mean is defined as the sum divided by the frequency.
Here we have four averages given in decimal
Derek Jeter average in percentage =0.334*100=33.4%
Alex Rodriguez average in percentage=0.286*100=28.6%
Jorge posada average in percentage =0.285*100=28.5%
Hideki Matsui average in percentage=0.274*100=27.4%
From the above percentages Derek Jeter average was 4.9%greater than Jorge Posada =33.4-28.5=4.9%
Or we can say it as Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage.
Hence Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage and Derek Jeter average was 4.9% greater than Jorge Posada 4.9%.
To learn more about percentage and average visit:
https://brainly.com/question/24159063
#SPJ9
The density of a certain material is such that it weighs 430 kilograms per cubic foot
of volume. Express this density in grams per cup. Round your answer to the nearest
whole number.
Density ( in grams per cup )= 3593
Density( in kilograms per cubic foot )=430
1 kilogram per cubic foot = 8.36 grams per cup
Density ( in grams per cup )= 3593
The density of a material indicates the density of that material in a specific area. The density of a material is defined as its mass per unit volume. Density is a measurement of how closely matter is packed together. It is a distinct physical property of a specific object. Archimedes, a Greek scientist, discovered the density principle. If you know the formula and understand the units, calculating density is simple. Density is represented by the symbol, which can also be represented by the letter D.
To know more about density from the given link:
brainly.com/question/952755
#SPJ9
Calculate.
5*10^9/2*10^4
(c) Using your knowledge and abilities show Andrew how to evaluate the expression correctly. State the
correct value.
The correct value of the expression is 9 and to evaluate correctly the multiplication of 2 and 0 that 2(0) must be written 0.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
The constraint of expression is represented as = or <, >.
Given the expression,
x² - 2(x - 3) when x = 3
⇒ x² - 2(x - 3)
⇒ 3² - 2(3 - 3)
⇒ 3² - 2(0)
⇒ 9 - 0
⇒ 9.
Hence "The correct value of the expression is 9".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ1
The given question is an incomplete complete question shown below in the image ;
The length of the rectangle is 4 more than the measurement of its width. The area of the rectangle is 12 m2. Find its dimensions.
(Hint: Area of a rectangle =length x width)
Pls help
The length of the rectangle is 6 meters and the width is 2 meters.
What is perimeter?Perimeter is the sum of the lengths of all the sides of a given 2D plane figure.
A rectangle area has a length that is 4 more than its width.
Assuming the width of the rectangle to be x meter,
∴ The length of the rectangle is (x+4) meters.
Also given that the rectangle area is 12 sq meters.
We know, that the area of a rectangle is a product of its length and width.
∴ [ x × (x+4) ] = 12.
x² + 4x = 12.
x² + 4x - 12 = 0.
x² + 6x - 2x - 12 = 0.
x(x+6) -2( x+6) = 0.
(x+6)(x-2) = 0.
x + 6 = 0 Or x - 2 = 0.
x = -6 or x = 2.
We know distance can not be negative so, x = -6 is inadmissible.
So, the width of the rectangle is 2 meters and length is (x+4) = (2+4) = 6 meters.
learn more about perimeter here :
https://brainly.com/question/6465134
#SPJ1
Find the highest common factor (HCF) of 90
The table shows the starting and ending elevations of a hiking trail.
Point on Trail
Starting Point
180 ft below sea level
Ending Point 260 ft above sea level
Elevation
How much greater is the elevation of the ending point than the starting point for the trail?
_ft
Answer:
160 people in total
Step-by-step explanation:
The table shows the starting and ending elevations of a hiking trail. Point on Trail Elevation Starting Point 180 ft below sea level Ending Point 260 ft above sea level How much greater is the elevation of the ending point than the starting point for the trail
WILL MARK BRAINLIEST!! NEED DONE NOW (will only be marked if it is correct)
From the graph of f(x) = 4|x + 1| - 3 given at the end of the answer, we have that:
The function is positive when x < -1.75 and x > -0.25, and negative for -1.75 < x < -0.25, increasing when x > -1 and decreasing when x < -1.For the end behavior, y -> + ∞ when x -> -∞ and y -> +∞ when x -> +∞.When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.When a function is increasing and when it is decreasing, looking at it's graph?Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y increases.Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down the graph, meaning that when x increases, y decreases.Hence, from the graph of the function, and the bullet points above, we have that:
The function is positive when x < -1.75 and x > -0.25, and negative for -1.75 < x < -0.25, increasing when x > -1 and decreasing when x < -1.
What is the end behavior of the function?It is given by the values of y when x -> ∞.
Hence:
For the end behavior, y -> + ∞ when x -> -∞ and y -> +∞ when x -> +∞.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Tyrone makes a scale drawing of his backyard. The scale from the backyard to the
drawing is 2 ft to 1 in. The width of the patio on the drawing is 8 in. What is the
width of Tyrone's actual patio? Show your work.
Answer:The width of the patio on the drawing is 8 in.
Step-by-step explanation:
Vani needs to order some new supplies for the restaurant where she works. The restaurant needs at least 795 forks. There are currently 315 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine xx, the number of sets of forks Vani could buy for the restaurant to have enough forks.
The number of sets of forks that Vani can buy for the restaurant is 48.
What is the minimum number of forks that Vani can buy?The first step is to determine the appropriate inequality sign to use:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is ≥.
(Number of forks per set x number of sets that would be bought) ≥ (number of forks needed - number of forks the restaurant has)
(10 × xx) ≥ (795 - 315)
10xx ≥ 480
xx ≥ 480 / 10
xx ≥48
To learn more about inequality, please check: https://brainly.com/question/5031619
#SPJ1
Describe in words where cube root of 63 would be plotted on a number line. between 3 and 4, but closer to 3 between 3 and 4, but closer to 4 between 2 and 3, but closer to 2 between 2 and 3, but closer to 3
In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4
How to find the cube rootThe cube root of 63 would be gotten from a calculator when we use this formula
[tex]^3\sqrt{63}[/tex]
The solution that we would have from the calculator would be 3.97. The value 3.97 is known to be greater than 3 by a lot but just a little less than 4 on the number line.
3.97 can be approximated to be 4. Hence we can say that In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4
Raed more on number lines here:
https://brainly.com/question/25230781
#SPJ1
three times the smaller of three consecutive even integers is four less than twice the larger
The required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.
What is integer?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
The statement is three times the smaller of three consecutive even integers is four less than twice the larger
According to given question we have
Let the even integers be x and x + 2 .
Here, x is the smaller integer
(x + 2) the bigger integer.
By the equation is
3x =2(x + 2)-4
compare the like terms we get
x=4-4
x=0
The smaller integer=0
The bigger integer= 0+2=2
Therefore, the required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.
Learn more details about integer here:
https://brainly.com/question/15276410
#SPJ1
Solve the equation using multiplication or division.
-7y=28
Oy=-4
Oy = 4
O y = 14
O y = 35
Answer:
y=-4
Step-by-step explanation:
-7y=28
DIVIDE BY -7
28/-7=-4
Answer=-4
Please help is this true or false
Answer:
True
Step-by-step explanation:
Wayne charges a flat photography fee of $100 to take pictures. He also charges $35 per hour. If Wayne made $240 to take pictures at an event, how many hours did he spend taking pictures at the event?
Answer:
100 + 35x = 240
240 - 100 = 140 = 35x
140/35 = 4
Step-by-step explanation:
4 hours, not a bad pay o.o
Answer:
4 Hours
Step-by-step explanation:
Let y=money
Let x= Hours
y=mx+b
240=35x+100
minus 100
140=35x
divide 35
4=x
x
10
8
What is the value of x?
X =
your ans
Step-by-step explanation:
the value of x is 6
The value of x will be 6 for the given triangle.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that in the right-angle triangle, the hypotenuse is 10, the base is 8 and the perpendicular is x.
The value of x will be calculated as:-
x² = 10² - 8²
x² = 100 - 64
x² = 64
x = √36
x = 6
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
#SPJ2
What is the image point of (-1,8)after a translation right 1 unit and up 2 units?
Answer:
so your first number in your plotted points is the x value and the next is the y value as shown here (x,y) so if it needs to go up 2 and right 1 what we do is increase the -1 to a 0 because you are moving right on the graph which makes it become a positive. now if you were to move up 2 that is your y coordinate because y controls up and down movement while x controls left and right movement so you would increase the 8 to 10 so you'll find no coordinates would end up being (0,10)
k/3 +16 as an expression in words
Sometimes in math we describe an expression with a phrase
"2 more than 5"
can be written as the expression
2 + 5.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)
There are two ways to write the given expression in words
1.The sum of the quotient of the number k by the number 3 and the number 16.
the sum (+)
quotient k/3 = k : 3
2.The sum of the third part of the number k and the number 16.
third part = k/3
To learn more about Expression
visit - https://brainly.com/question/1859113
#SPJ9
There are two teams of customer service representatives at a call center for a software company. The call center manager wants to give a prize to the team who most consistently has customer service calls with the least total call times. The two graphs show the distributions of the total call times of the two different teams. Team A 0 3 4 5 1 2 Total Call Times (minutes) Team B 0 I 2 3 4 5 Total Call Times (minutes) Which of the following provides a correct argument in support of the team that should be awarded the prize?
The correct argument in support of the team that should be awarded the prize is; Team A because their distribution of total call times is skewed to the right, which shows the majority of total call times are less than the mean.
How to interpret Skewed Graphs?
A skewed distribution is a distribution which is non-symmetric and also it has no mirror-imaging.
One common characteristic of skewed distributions, is that one tail of the distribution will be quite longer or drawn out relative to the other tail.
A distribution is said to be skewed right when one of the tail is on the right side.
A distribution is said to be skewed left when one of the tail is on the left side.
Now, we want to find the correct argument in support of the team that should be awarded the prize.
Looking at the two graphs of team A and B, we see that team A has a distribution that is skewed to the right which means majority of total call times are less than the mean.
Read more about Skewed Graphs at; https://brainly.com/question/24309209
#SPJ1
PLEASE AWNSER MY QUESTIONS!!!!!!!!!!!!
Answer:
OKKKKKKKKKKKK
Step-by-step explanation:
POST EM PLEASE
Answer:
screenshots
Step-by-step explanation:
press ctrl f5.
These two triangles are similar .Find side lengths a and b .Note The two figures are not drawn to scale
What is the difference between 5 and 19?
Answer:
14
Step-by-step explanation:
19 - 5 = 14
Answer:
the difference would be 14
3. An example of an irrational number is _____.
A. -17 square root
B. square root of 16
C, -9 square root
D. square root for 1
Simplify each expression. Use only positive exponents. (3 x⁻⁴ y³)²
The simplified value of the expression using only positive exponents is 9y⁶/x⁸
How to simplify the expression using only positive exponents?The expression is given as
(3 x⁻⁴ y³)²
Apply the law of indices to expand the bracket
So, we have
(3 x⁻⁴ y³)² = 3² * x⁻⁴*² y³*²
Evaluate the products of exponents
So, we have
(3 x⁻⁴ y³)² = 3² * x⁻⁸ y⁶
Evaluate the exponents
So, we have
(3 x⁻⁴ y³)² = 9 * x⁻⁸ y⁶
Apply the law of indices to rewrite negative exponent
So, we have
(3 x⁻⁴ y³)² = 9y⁶/x⁸
Hence, the simplified value of the expression using only positive exponents is 9y⁶/x⁸
Read more about expression at
https://brainly.com/question/723406
#SPJ1
Simplify the following.
a)
3x y x 2x®
Answer:
Hi i think your question implies that
Step-by-step explanation:
3xy × 2x
=6x²y
pls rate as brainliest