Lilly starts hiking along a trail at 3 miles per hour. Dave starts hiking the same trail from the same starting point at 3.5 miles per hour. If lilly walked 2 miles before Dave started hiking , will he catch up to her ? write a equation
Answers
Given:
Lilly starts hiking along a trail at 3 miles per hour.
Dave starts hiking the same trail from the same starting point at 3.5 miles per hour.
lilly walked 2 miles before Dave started hiking.
To find:
Whether he will catch up to her and write an equation.
Step-by-step explanation:
Let the number of hours when both are hiking be h.
lilly walked 2 miles before Dave started hiking at 3 miles per hour.
Lilly hiking = 2+3h
Dave starts hiking the same trail from the same starting point at 3.5 miles per hour.
Dave hiking = 3.5 h
He will catch her if hiking distance of both are equal.
[tex]2+3h=3.5h[/tex]
Subtract 3h from both sides.
[tex]2=3.5h-3h[/tex]
[tex]2=0.5h[/tex]
Divide both sides by 0.5.
[tex]\dfrac{2}{0.5}=h[/tex]
[tex]4=h[/tex]
Therefore, Dave will catch her after 4 hours.
Dave will catch up Lilly after 4 hours.
Since Lilly starts hiking along a trail at 3 miles per hour, and Dave starts hiking the same trail from the same starting point at 3.5 miles per hour, if Lilly walked 2 miles before Dave started hiking, to determine when he will have catch up to her the following calculation must be performed:
The initial distance between the two must be divided by the difference between their speeds. 2 / (3.5 - 3) = X 2 / 0.5 = X 4 = X
Therefore, Dave will catch up Lilly after 4 hours.
Learn more in https://brainly.com/question/13590356
Related Questions
Points A, B, C, D, E, and F are located on the number line. A number line going from Negative 1 and StartFraction 3 Over 8 EndFraction to StartFraction 3 Over 8 EndFraction in increments of StartFraction 1 Over 8 EndFraction. Point E is at negative 1 and StartFraction 2 Over 8 EndFraction. Point B is at negative 1. Point D is at negative StartFraction 7 Over 8 EndFraction. Point C is at negative StartFraction 2 Over 8 EndFraction. Point A is at 0. Point F is at StartFraction 2 Over 8 EndFraction. Which statements are true about the numbers represented by the points? Check all that apply. The number represented by Point C is equal to the number represented by Point F. Point A is neither greater nor less than the numbers represented by the other points. Point D represents a number less than the number Point C represents. Point A represents a number greater than the number Point F represents. Point E represents the smallest number of all the numbers represented by points.
Answers
Answer:
The true statements are;
Point D represents a number less than the number Point C represents
Point E represents the smallest number of all the numbers represented by points
Step-by-step explanation:
The given information are;
The number line with points are
[tex]-1\frac{3}{8} , -1\frac{1}{4} , -1\frac{1}{8} , -1..., \frac{3}{8}[/tex]
In decimal format, with Microsoft Excel and Word, we have;
-1.375, -1.25, -1.125, -1, -0.875, -0.75, -0.625, -0.5, -0.375, -0.25, -0.125, 0, 0.125, 0.25, 0.375
We have, E = -1.25, B = -1, D = -0.875, C = -0.25, A = 0, F = 0.25
The correct options are;
Point D = -0.875 < Point C = -0.25
Point E = -1.25 which is the second number on the number line and the smallest number of the numbers represented by points
Answer:
d e
Step-by-step explanation:
A math classroom has 30 students. The teacher assigned the students a project and told them they could turn it in on Monday, Tuesday, or Wednesday. 12 of the students turned the project in on Monday. 13 of the students turned the project in on Tuesday. The rest of the students turned the project in on Wednesday. How many students turned their project in on Wednesday?
Answers
Answer:
5 students.
30 - 12 - 13 = 5.
Answer:
The answer is 5
Step-by-step explanation:
We need to find out how many students turned in the project on Wednesday. In order to do this, this is what we need to do.
1. First we need to subtract 12 from 30 since 12 is how many students turned in the project on Monday.
2. 30 - 12 = 18
So now we have 18.
3. Next we need to subtract 13 from 18 since we know that 13 is how many students turned in the project on Tuesday.
4. 18 - 13 = 5
At the end we end up with 5.
So 5 students turned in the project on Wednesday.
Find the sum of the first
20 odd numbers.
Answers
Answer:
Hi there.....
Step-by-step explanation:
This is ur answer......
1, 3, 5, 7, 9, 11, 13, 15.................39
Therefore the total sum = 400
hope it helps you,
mark me as the brainliest....
Follow me......
Answer:
400
Step-by-step explanation:
These are the first 20 odd numbers
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39
Put them in a calculator and you get: 400
what is the slope for the points (5,3) and (5,-9)?
Answers
m = (y2-y1)/(x1-x2)
m = (-9-3)/(5-5)
m = (-12)/0
Slope doesn't exist
Write equations for the horizontal and vertical lines passing through the point , −8−5.
Answers
Ryan deposits $775 in an account that pays 1.24% simple interest for 4 years.
Brian deposits $775 in an account that pays 1.24% simple interest for 1 year
How much interest did Ryan's account earn the first year?
Answers
Answer:
19.22 US$
and
38.44 US$
Step-by-step explanation:
The interest Ryan's account earned for the first year is $9.61.
What is Simple Interest?Simple interest is based on the principal amount of a loan or the first deposit in a savings account.
Mathematically,
SI = PRT/100
here, P is principle amount, R is the rate and T is the time.
Now it is given that,
Principle deposited by Ryan, P = $775
Interest, R = 1.24%
Time, T = 4 years
And for Brian,
Principle, P = $775
Interest, R = 1.24%
Time, T = 1 year
And Simple Interest for Ryan for 1st year,
SI = PRT/100
⇒ SI = (775*1.24*1)/100
⇒ SI = $9.61
Thus, The interest Ryan's account earned for the first year is $9.61.
Learn more about simple interest:
brainly.com/question/17960050
Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie’s cube has a side length of 5 centimeters, what is the volume of her cube (in cm cubed)?
Answers
Answer:
125 cm cubed
Step-by-step explanation:
To get the answer, you should muultiply length by width and then by height. Or 5 x 5 = 25, then 25 x 5 = 125 cm cubed
Answer:
124+1 cm cubed.
Step-by-step explanation:
Iliana and Rod were asked to find the difference of (5.1 times 10 Superscript negative 15 Baseline) minus (2.3 times 10 Superscript negative 14 Baseline). As a first step, Iliana rewrote the problem as (0.51 times 10 Superscript negative 14 Baseline) minus (2.3 times 10 Superscript negative 14), and Rod rewrote the problem as (5.1 times 10 Superscript negative 15 Baseline) minus (0.23 times 10 Superscript negative 15 Baseline). Which person wrote a correct possible first step? Why?
Answers
Given:
The expression is
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
First steps of Iliana and Rod are given.
To find:
Which person wrote a correct possible first step.
Solution:
We have,
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14-1+1})[/tex]
[tex](5.1\times 10^{-15})-(2.3\times 10^{-15}\times 10)[/tex]
[tex](5.1\times 10^{-15})-(23\times 10^{-15})[/tex]
Therefore, first step of Rod is incorrect.
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15+1-1})-(2.3\times 10^{-14})[/tex]
[tex](5.1\times 10^{-14}\times 10^{-1})-(2.3\times 10^{-14})[/tex]
[tex](\dfrac{5.1}{10}\times 10^{-14})-(2.3\times 10^{-14})[/tex]
[tex](0.51\times 10^{-14})-(2.3\times 10^{-14})[/tex]
Therefore, first step of Iliana is correct.
Answer:
B "Only Iliana is correct because Rod incorrectly equated 2.3 times 10 Superscript negative 14 and 0.23 times 10 Superscript negative 15."
explanation:
Merideth measured 3.25 cups of flour and 1.625 cups of brown sugar into
a bowl. How many cups of ingredients did she have altogether in the
bowl?
Answers
Answer:
Step-by-step explanation:
This is just an addition question. If you have a calculator just add the numbers.
3.25 + 1.625 = 4.875 cups in the bowl.
Sometimes you can use another method. Sometimes it is shorter.
3 1/4 + 1 5/8 = 3 2/8 + 1 5/8 = 4 7/8.
7/8 = 0.875
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in ½ hour.
Answers
Answer:
6.75
Step-by-step explanation:
27/4=6.75
Answer:
6.75 miles in 1/2 hour
Step-by-step explanation:
2 Hours = 4 x 1/2
27 : 4 = 6.75 miles per 1/2 hours
Given the triangle below:
4
20
Which is the length of the missing side?
A.24
B. square root 384
C. square root 416
D. 416
Answers
For this question we can use the pythagorean theorem: 20^2 + 4^2 = c^2
c^2 = 416
c = [tex]\sqrt{416}[/tex]
Given the points: J(-10, -7), K(-4,1), L(-3, 2), M(-6, -2), what is the relationship between
JK and LM?
Perpendicular
Neither
No answer text provided.
Parallel
Answers
Answer:
Parallel
Step-by-step explanation:
once graphed the lines never meet
Brainly for correct answer!!
The diagram shows two parallel lines cut by a transversal. One angle measure is shown.
Find the values of A B C D E F and G
Answers
Answer:
a= 126
b= 54
c= 126
d= 54
e= 126
f= 54
g= 126
Step-by-step explanation:
To find a you would subtract 54 from 180 which would give you 126
Since a and b are another linear pair they would also add up to 180.
Then you move to c which is a linear pair with 54 so it is 126.
Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.
The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The diagram shows two parallel lines cut by a transversal.
As we know from the definition of the vertically opposite angles:
b = 54 degrees
a + c = 54 + b (a = c)
2a = 54x2
a = 54 degrees
Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.
Similarly:
b = 54
c = 126
d = 54
e = 126
f = 54
g = 126
Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
Learn more about the vertically opposite angles here:
brainly.com/question/24287162
#SPJ2
right answer only please
Answers
Answer:
y3+2y2+49y+98
Step-by-step explanation:
Answer:
Your correct answer is = (y + 2)(y^2 + 49)
Step-by-step explanation:
y3 + 2y^2 + 49y + 98
= (y + 2)(y^2 + 49)
7) Solve for the given variable: 3r + 6 = 2r + 9
Answers
-6 on both sides
3r = 2r + 3
-2r on both sides
r = 3
Answer:
r = 3
Answer:
r = 3
Step-by-step explanation:
subtract six from both sides
3r = 2r + 3
subtract 2r from both sides
r=3
The midpoint of AB is M(-2,5). If the coordinates of A are (1,7), what are the
coordinates of B?
Answers
Answer:
(-5, 3)
Step-by-step explanation:
B = 2M - A
B = 2(-2, 5) -(1, 7) = (-4-1, 10-7) = (-5, 3)
the constant of proportionality from the equation y equals 1/2x____
fill in the blank please
Answers
The constant of proportionality is the number with the letter x.
The number with chicken in the above problem is 1/2
The answer is 1/2
what is the inequality ?
Answers
Answer:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b. (those two are known as strict inequality)
Step-by-step explanation:
PLS ANSWER!
ASAP!
LOOK AT PIC!
Answers
Answer:
First one
Step-by-step explanation:
Which variable is represented by range in a linear function?
A. x-variable
B. y-variable
C. None of the above
D. All of the above
Answers
Which variable is represented by range in a linear function?
A. x-variable
Look at the image to solve this problem.
Answers
Answer:
∠K RQ = 115Step-by-step explanation:
1st step is to get the internal ∠R
R + P + Q = 180R + 50 + 30 = 180R = 180 - 50 - 30R = 100to get the angle ∠K RQ (same as step 1)
K + R + Q = 180K + (100/2) + 15 = 180K = 180 - 50 - 15K = 115therefore, the angle ∠K RQ = 115
8y = 4x - 1
Find the x and y intercepts of the line
Answers
Answer:
x-intercept=1/4 y-intercept= -1/8
Step-by-step explanation:
First, simplify the equation, y= 1/2x-1/8
Then you want to graph the equation with a slope of positive 1/2 starting at -1/8 that'll intercept across the x-axis at 1/4.
To find the y-intercept, you simply have to keep in mind that y=mx+b
b=y-intercept
So our y-intercept is stated in the equation after we simplified it
-3 1/4 - 3/4
Please help thanks
Answers
Answer: -4
Step-by-step explanation:
Answer:
the answer is -4. Hope this helped,have a great day!
Step-by-step explanation:
You plan to take a 7-day trip to California. You estimate that it will cost $275 per day to visit Los Angeles, and $400 per day to visit San Francisco. Your total budget for the 7 days is $2,300. How many days could you spend in each location, so that you spend your entire budget?
Answers
Answer:
You can spend 4 days in Los Angeles and 3 days in San Francisco.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=7 (1)
275x+400y=2,300 (2), where:
x is the number of days to visit Los Angeles
y is the number of days to visit San Francisco
First, you can solve for x in (1):
x=7-y (3)
Now, you can replace (3) in (2):
275(7-y)+400y=2,300
1,925-275y+400y=2,300
125y=2,300-1,925
125y=375
y=375/125
y=3
Finally, you can replace the value of y in (3) to find x:
x=7-3
y=4
According to this, the answer is that you can spend 4 days in Los Angeles and 3 days in San Francisco.
Expand and simplify
1) 3 ( 2x + 1 ) + 5x
2) ( x + 3 ) ( x + 4 )
3) ( x + y ) ^2
4) ( 2x + 1 ) ( x - 3 )
Answers
→To simple the given equations
( 2x + 1 ) + 5x( x + 3 ) ( x + 4 )( x + y ) ²( 2x + 1 ) ( x - 3 )Answer:Part 1:[tex]\green{step \: 1}[/tex]
→[tex] 3 ( 2x + 1 ) + 5x[/tex]
[tex]\green{step \: 2}[/tex]
→[tex]6x + 3 + 5x[/tex]
[tex]\green{step \: 3}[/tex]
→[tex]\blue{11x + 3✓}[/tex]
part 2:[tex]\green{step \: 1}[/tex]
→[tex]( x + 3 ) ( x + 4 )[/tex]
[tex]\green{step \: 2}[/tex]
→[tex] {x}^{2} + 4x + 3x + 12[/tex]
[tex]\green{step \: 3}[/tex]
→[tex]\blue{ {x}^{2} + 7x + 12✓}[/tex]
part 3:[tex]\green{step \: 1}[/tex]
→[tex]( x + y ) ^2[/tex]
[tex]\green{step \: 2}[/tex]
→[tex] \blue{{x}^{2} + {y}^{2} + 2xy✓}[/tex]
part 4:[tex]\green{step \: 1}[/tex]
→[tex] ( 2x + 1 ) ( x - 3 )[/tex]
[tex]\green{step \: 2}[/tex]
→[tex]2 {x}^{2} - 6x + x - 3[/tex]
[tex]\green{step \: 3}[/tex]
→[tex]\blue{2 {x}^{2} - 5x - 3✓}[/tex]
★What do you mean by simplifying an equation:
Simplifying an evaluation means to solve any difficult or easy equation in as simple form as possible .★Steps we can do to simplify the equation:
Open brackets/parentheses to make the equation more simplified.Add /subtract numbers or numbers with same variable/constant.thankyou ❤️
The equation below has one solution.
9x-10-3x+2
What is the solution to the equation?
o 2
0 1
0 1
02
Answers
help how do i answer this plezz help
Answers
Answer:
2(6÷d)
Step-by-step explanation:
hope this helps :)
marvin the math magician has a problem for you. he wants to buy some magic wands and some magic hats. the wands cost $8 each and $5 for each hat. how much will marvin haft to pay for 12 wands and 7 hats?
Answers
Answer:
8x + 5y
12(8) + 7(5) =
96 + 35 =
131
$131
Please Solve x2 = 121
Answers
Answer:
x = 60.5
Step-by-step explanation:
ok this simple you already have the variable and the number on different sides
x2 = 121
divide each side by 2
x2 / 2 = x
121 / 2 = 60.5
x = 60.5
Answer:
60.5
Step-by-step explanation:
Divide 121 by 2, or just add 600.5 or multiply it by 2 and you get 121
what is the x intercept x- 9y = -45
Answers
Answer:
(-45,0)
Step-by-step explanation:
Answer:
(-45, 0)
Step-by-step explanation: