Finn is riding his bike at 8.5 miles per hour. How far can he go in 3 hours?
Frank and Jasmine use the same trail for their Saturday walk. Frank walks at an average pace of 2 miles per hour. Jasmine starts when Frank is at the 3 mile marker and walks at an average pace of 4 miles per hour. Write an algebraic equation that could be used to determine how many hours Jasmine will walk before she catches up to Frank.
Answer:
Jasmine will walk 1hr:30min before she catches up to FrankStep-by-step explanation:
let the distance of the trail be x
and let the time be t
given that franks average speed is 2 miles per hour
the distance covered by Frank is x-3
the time taken by Frank to cover the distance is
we know that speed=distance/time
2=x-3/t
2t=x-3
x=2t+3---------1
Jasmine speed= 4 miles per hour
speed=distance/time
4=x/t
x=4t--------2
equating 1 and 2 above we have
2t+3=4t
solving for t we have
4t-2t=3
2t=3
t=3/2
t=1.5
That is 1hr 30 min
The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part A: What is the constant of proportionality shown in the graph?
Answer:
The constant of proportionality is 3/4
Step-by-step explanation:
Here, we want to write the constant of proportionality in the given graph .
To find the constant of proportionality, we need to find the slope of the line.
We can get the slope by using two of the points on the line.
Mathematically, slope of a line m is;
m = (y2-y1)/(x2-x1)
Let (x1,y1) = (120,90) and (x2,y2) = (400,300)
slope will be ( 300-90)/(400-120) = 210/280 = 3/4
please help me im stuck .................
Answer: Choice A) Empty set
This is another way of saying "no solutions"
============================================
Explanation:
Your teacher made a typo. The given inequalities will have boundary lines that both have positive slopes, not negative slopes. So the boundary lines should go uphill as you move from left to right.
See the diagram below to see what the graph should look like.
The upper dashed line is y = (1/2)x+3. The lower dashed line is y = (1/2)x-2
The upper dashed line represents the boundary for y > (1/2)x+3. Region 1 is the set of solution points for y > (1/2)x+3
While the solution set for y < (1/2)x-2 is represented with region 3
There is no overlap between regions 1 and 3 due to the parallel boundary lines.
Put another way: there are no (x,y) points that are in both region 1 and region 3 at the same time.
So that's why there are no solutions to this system of inequalities.
---------------------
Alternative method:
Convert the first inequality into Ax+By > C form
y > (1/2)x+3
2y > x + 6 .... multiply both sides by 2
-x+2y > 6 ... subtract x from both sides
z > 6 .... let z = -x+2y
Convert the second inequality into Ax+By < C form
y < (1/2)x-2
2y < x - 4
-x+2y < -4
z < -4 .... let z = -x+2y
We have some number z that is both z > 6 and z < -4 at the same time, but no such number exists. So this is another way to see we have an inconsistent system with no solutions.
Ten times a number, x, is one-half the sum of the number and three.
Which answer represents this situation?
10x=12(x+3)
10x+12x+3
10x=12x+3
10x+12(x+3)
Answer:
10x=1/2(x+3)
If you substitute numbers and characters in for words you would get this equation.
plss i need help for this question real fast ?(10-(-9)*-1) plss real quick!!!!
Answer:
1
Step-by-step explanation:
(10-(-9)*-1)
Remember that 2 negative equal a positive. So -(-9) is positive.
(10+9*-1)
Then, PEMDAS is how you should finish this.
So, 9*-1 is -9
Then, 10-9 is 1
2(t-3)² - 72 = 0. extracting square roots. with solution please
Answer:
t = 9
Step-by-step explanation:
Here, we want to find the value of t
2(t-3)^2 -72 = 0
2(t-3)^2 = 72
divide both sides by 2
(t-3)^2 = 72/2
(t-3)^2 = 36
(t-3)^2 = 6^2
Since powers are equal, we equate base
t-3 = 6
t = 6 + 3
t = 9
round to the tenth. i need the answer plss
Answer: D
Step-by-step explanation:
Answer:
C=6.4ft
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 5^2 = c^2
4 + 4 = 16
5 + 5 = 25
16 + 25 = c^2
41 = c^2
Now you will need to find the square root of 41 which gives you 6.40 and you just round to nearest tenth..
HOPE THIS HELPS!!
I NEED HELP ASAP PLZZZZZZ ANYONE!!!!!!!!
Carlos harvests cassavas at a constant rate. He needs 35 minutes to harvest a total of 15 cassavas.
Write an equation to describe the relationship between ttt, the time, and ccc, the total number of cassavas.
Answer:
c=3/7t
Step-by-step explanation:
?=c/t
15/35 (reduce) 3/7
c=3/7t
If Jan jogged 8x−21 miles and Julie jogged 24x−63 miles, how many times longer was Julie's travel distance than Jan's? A.3 B.16 C.24 D.63
Answer:
A.3
Step-by-step explanation:
I can buy 3 cans of soda for $1.05. How many cans can buy at the same rate for $21?
Answer:
20 cans
Step-by-step explanation:
Divide $21 by $1.05 and you get 20.
Answer:
60 cans of soda
Step-by-step explanation:
3 cans of soda for $1.05
$21 = ? cans of soda
21 / 1.05 = 20
so if 20 $1.05's fit in $21 then how many cans fit in $21
20 x 3 = 60
you can buy 60 cans of soda with $21
Find the value of x plzzz
Answer:
x=5 gg ez
Step-by-step explanation:
Answer:
x =12
Step-by-step explanation:
angle 5 = 65
65 + (11x - 17) = 180 (supplementary angles)
11x + 48 = 180
11x = 132
x = 12
Solve for [tex]$\abs{5p+2}\ \textless \ -4$ .[/tex]
Hint: There should be two answers, please list both of them.
please help i really need this ill give brainliest if you answer it correctly
Answer:
what is the question ??
Answer:
Whats the question?
hey can anybody help me with these? thank you!
find the line of the equation that passes through (3, -4) and is parallel to 3x + y + 2 = 0
leave your answer in the form of y = mx + c
hi
3x+y +2 = 0 so y = -3x-2
parrallel line has the same slope , so is -3x
then : -3 (3) +c = -4
-9 +c = -4
c = -4 +9
c = 5
so parallel is : y= -3x +5
12x + k = c solve for x Explain how to do it please
Answer: x=(c-k)/12
Step-by-step explanation:
So you're trying to find x, and in order to do that, you need x by itself. First, move k to the right side by subtracting k from both sides to get 12x=c-k. After that, you divide 12 for both sides to get x=(c-k)/12. It looks like this: [tex]\frac{c-k}{12}[/tex]
Find the equation of the line from the following graph in slope-intercept form:
A) y = 3/2x + 2
B) y = -3/2x + 2
C) y = -2/3x + 2
D) y = 2/3x + 2
Answer: the slope is -3/2x and B is the only one that SLOPE
Step-by-step explanation:
RISE/RUN
IT WENT UP 3 AND WENT 2 TO THE LEFT
BTW: TO THE LEFT IS NEG AND POS IT TO THE RIGHT
so the slope is a neg be it is going toe the up towards left
I need help asap I'm giving the rest of my points
Answer:
a. 32. 3
Step-by-step explanation:
4x3=12
1×3=3 (3 min missing from table)
32×3=96 (32 songs miss)
E pls and ty help :)
3900 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?
Answer:
975 teenagers attended the football game
Step-by-step explanation:
25 x 3900 = 975
100
975/3,900 = 25/100 = 25%
simplify for this. 22 + (3x3 - 4x4)
Answer:15
Step-by-step explanation: 1st multiple what’s in the parenthesis (3*3= 9 & 4*4= 16
Next write it out 22+(9-16)
Then you subtract 9 from 16 since it’s in parenthesis So it’s 22+(-7) and since you are adding a negative and a positive together you will have to subtract and keep the sign of the larger number so the answer is 15 since u needed to subtract but 22 is the larger number making it positive answer
An advertisement reads “All Toys 35% Off.” How much money will you save if you buy a remote-control helicopter originally priced at $49?
$14.00
$17.15
$20.00
$31.85
Answer:
$17.15
Step-by-step explanation:
Answer:
17.15
Step-by-step explanation:
will give brainliest!
Answer: I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.
Step-by-step explanation:
The percentage of the body affected by the disease is a function of the number of days:
P(d) = 6d + 5This percentage is a dependent variable and the number of days is the independent variable.
If we give values to d, we can calculate the percentage of the body affected by the disease.
P(1)= 6·1 + 5 = 11%
P(2)= 6·2 + 5 = 17%
P(3)= 6·3 + 5 = 23%
P(4)= 6·4 + 5 = 29%
P(5)= 6·5 + 5 = 35%
P(6)= 6·6 + 5 = 41%
P(7)= 6·7 + 5 = 47%
P(8)= 6·8 + 5 = 53%
Depending on the days since the beginning of the disease, the doctors have a treatment for a different stage.
Starting immediately, the treatment will be stage 1: less than 15%
Starting on day 2 or 3, the treatment will be stage 2: 15-25%
After day 3, the treatment will be stage 3: 25-50%
After day 8, there is no cure: more than 50% of the body is affected by the disease.
I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.
Spymoreplease answer asap !!
What is the zero of f?
(15 points!)
Solve v +8 < 3 or -80 <-40.
Raina corre 7 millas en 50 minutos. A esta misma tasa, ¿qué distancia en millas correría en 75 minutos?
Responder:
10.5 millas
Explicación paso a paso:
50 / 7 = 0.14
0.14 * 75 = 10.5
Espero que esto ayude :)
Given parameters:
Distance covered by Raina = 7 miles
Time taken = 50 minutes
Unknown:
Distance covered in 75 minutes = ?
To solve this problem, we have to find the speed of Raina during the first 50 minutes.
Speed is the distance covered with time.
Speed = [tex]\frac{distance}{time taken}[/tex]
Input the parameters and solve;
Speed = [tex]\frac{7 miles }{50 minutes}[/tex] = 0.14miles/min
Now, to find the distance covered in the second run;
Distance = speed x time taken
= 0.14miles/min x 75min
= 10.5miles
The distance covered in miles is 10.5miles
What’s is the answer for 9-(-3)
Answer:
negative times A negative is a positive so your answer is 27
Step-by-step explanation:
Find the greatest common factor (GCF) for 18, 27 and 54.
Answer:
9
Step-by-step explanation:
PLEASE!!!
3. Determine whether the following table of values represents a linear, quadratic, or neither function. Show your calculations.
b) Explain how you know whether it is a linear, quadratic, or neither function.
Answer:
Quadratic function
Explanation:
It is not linear because the difference between y values is not constant.
([tex]10-5\neq 5-2[/tex] for example) In a linear function, the difference between y values would be constant.