Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10
meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.
Here's a graph that shows a system of equations for this scenario where x is the number of seconds since
Chana and Josiah started skating and y is the distance in meters from the starting line.
Answers
Answer:
josiahs distance from the starting line at a time when shes behind josiah
Step-by-step explanation: got it right in khan
The correct statement according to scenario
Josiah's distance from the starting line at a time when he is behind Chana.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Josiah's head start = 10 meters from the start
Josiah's speed = 2 m/s
Chana's speed = 3 m/s
Now, the distance travelled as
D= d x s+ t
For Josiah, we have;
D = 10 + 2•t (line a)
For Chana, we have;
D = 0 + 3•t = 3•t (line b)
Thus, Josiah's distance from the starting line at a time when he is behind Chana.
Learn more about Equation here:
https://brainly.com/question/28033985
#SPJ3
Related Questions
If you deposit $3,000 in a savings account that earns simple interest at a rate of 2.5% a year, how much interest would you have after 4 years?
Answers
Work Shown:
i = P*r*t
i = 3000*0.025*4
i = 300
Write the percent as a decimal.
78% =
Answers
Answer:
0.78
Step-by-step explanation:
78 / 100
note that 100% = 1
An angle measure 29•, what is the measure of it compliments
Answers
Answer:
The complement of 29° is the angle that when added to 29° forms a right angle (90° ).
Step-by-step explanation:
Hope this helps you!
What is 2/5 divided by 5
Answers
Answer:
0.08 I hope this is right
Step-by-step explanation:
2/5 = 0.4÷5 = 0.08
Answer:
Step-by-step explanation:
Use KCF method
K - Keep the first fraction
C- change the operation ÷ to multiplication
F - Flip the second fraction
[tex]\textbf{$\dfrac{2}{5} \div 5$}=\dfrac{2}{5}*\dfrac{1}{5}\\\\\\=\dfrac{2}{25}[/tex]
At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?
Answers
1pizza serves 6/2 people
8pizza serves 6/2*8
=24people
8pizza serves 24 people
Which graph represents an exponential function?
Answers
Answer:
the linear graph man
please why ask ezzy questions
Test question, are you able to hold yourself from adding an answer?
Answers
Tuesday
Sharon gets paid every other week.
She worked 19.5 hours one week and
20 hours the other week. How much
did she get paid, if she makes $9.25
per hour?
Answers
Answer:
$365.37
Step-by-step explanation:
add the hours up which is 20+19.5=39.5
then multiply by the wage 9.25 which is 39.5*9.25 which equals 365.375 and you cant round a penny up because its not possible in real life so your answer is just 365.37
100 Points and Brainliest.
Write an equation that represents the line.
Use exact numbers.
Inserting gibberish or an absurd answer that isn't applicable will be reported and removed.
Answers
Answer:
See below ↓
Step-by-step explanation:
We have a graph given to us.
⇒ Take the points to form an equation!
The points
(4, 6)(-2, 1)Making an equation
Find the slopem = 1 - 6 / -2 - 4m = -5 / -6m = 5/6Take one of the two points and substitute in the equation :⇒ y - y₁ = m (x - x₁)⇒ y - 6 = 5/6 (x - 4)⇒ y - 6 = 5x/6 - 10/3⇒ y = 5x/6 + 8/3⇒ or 6y = 5x + 16Take two points
(-2,1)(4,6)Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}[/tex]
Equation in point slope form
[tex]\\ \rm\rightarrowtail y-1=5/6(x+2)[/tex]
[tex]\\ \rm\rightarrowtail 6y-6=5x+10[/tex]
[tex]\\ \rm\rightarrowtail 6y=5x+16[/tex]
[tex]\\ \rm\rightarrowtail y=5/6x+8/3[/tex]
what is the equation of the following graph?
Answers
Answer:
Step-by-step explanation:
When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:
F - function (sine or cosine)
P - period
A - amplitude
R - reflections
H - horizontal/phase shift
M - midline
Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.
Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]
Hope this helps :)
Find the range, mean, and standard deviation of the data set
{8, 9, 8, 4, 4, 7, 18, 14}
The range is
(Type a whole number.)
The mean is
(Type an integer or a decimal.)
The standard deviation is
(Round the final answer to two decimal places as needed Round all intermediate values to three decimal places as needed.)
Answers
Answer:
mean: 8
medium:7
min: 4
max: 18
hope that helps
Which number line shows the solution set for l s/2 +4 l <2
Answers
Step-by-step explanation:
Hopefully this was helpful!
Evaluate 3x2−9
when x=−2
Answers
Answer:
3
Step-by-step explanation:
substitute x = - 2 into the expression
3x² - 9
= 3(- 2)² - 9
= 3(4) - 9
= 12 - 9
= 3
Need help with his geometry question. Find the value of x
Answers
Hey there!
Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]
[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]
[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]
[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]
[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]
Hopes this helps
Simplify expression:
2(4x + 3) - 3(x + 1)
Answers
Answer:
5x+3
Step-by-step explanation:
[tex]\left[Thank\;you\;for\;Joining\;Brainly!][/tex]
Answer:
5x + 3
Step-by-step explanation:
[tex]2\left(4x+3\right)-3\left(x+1\right)[/tex]
[tex]\mathrm{Expand\;2(4x+3)}:8x+6[/tex]
[tex]=8x+6-3\left(x+1\right)[/tex]
[tex]\mathrm{Expand\;-3(x+1)}:-3x-3[/tex]
[tex]=8x+6-3x-3[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=8x-3x+6-3[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:6-3=3[/tex]
[tex]=8x-3x+3[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:8x-3x=5x[/tex]
[tex]=5x+3[/tex]
Hence, your answer is 5x + 3
[RevyBreeze]
-5x+y=-10 and -4x-y=-26
Answers
[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]
Step-by-step explanation:Solve the equation[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]
_____________________________________
Add the two equations[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]
____________________________
Remove parentheses[tex]-5x+y-4x-y=-10-26[/tex]
_________________________________________________
Cancel one variable[tex]-5x-4x=-10-26[/tex]
___________________________________________
Combine like terms[tex]-9x=-10-26[/tex]
______________________________________________
Calculate the sum or difference[tex]-9x=-36[/tex]
________________________________________________
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{-36}{-9}[/tex]
____________________________________________________
Determine the sign for multiplication or division
[tex]x=\frac{36}{9}[/tex]
_________________________________________
Cross out the common factor
[tex]x=4[/tex]
_____________________________________________Step-by-step explanation:Substitute into one of the equations[tex]-4\times4-y=-26[/tex]
____________________________________________________
Calculate the product or quotient
[tex]-16-y=-26[/tex]
______________________________________________________
Rearrange variables to the left side of the equation
[tex]-y=-26+16[/tex]
_____________________________________________
Calculate the sum or difference
[tex]-y=-10[/tex]
_________________________________________-
Divide both sides of the equation by the coefficient of variable
[tex]y=10[/tex]
I hope this helps you
:)
how many feet is the answer?
Answers
Answer:
1023 feet
Step-by-step explanation:
7 5/8 + 1 1/2 = ?
how do you do it?? need help!
Answers
A line with a slope of -10 passes through the
points (a, 6) and (-6, -4). What is the value
of a?
a =
Answers
f(1)=15
f(n)=f(n-1)·n
f(2)=?
Answers
Answer:
is f(2)=13 this is the answer because You have to división ir multiplicar ir
Answer:
f(2)=30
Step-by-step explanation:
Khan <3
The cheeseburger in Alan's kid's meal has 300 calories. His fries have 101 and his drink has 150. How many tota calories
are in his meal?
Answers
300+150 = 450
450 + 101 = 551
Answer:
551 calories
Step-by-step explanation:
Given the number of calories in each part of his food you can add:
300 + 101 +150
to equal the total amount of calories in his food, which would be:
551 calories
In conclusion, there would be a total of 551 calories if Alan's kid's meal.
Have a great rest of your day
#TheWizzer
Find all the factors of 18.
A) 2, 9
B) 1, 2, 3, 6, 9, 18
C) 1, 2, 3, 4, 6, 8, 9, 18
Answers
Answer:
B)1, 2, 3, 6, 9, 18
Step-by-step explanation:
1×18
2×9
3×6
HOPE IT HELPS YOU
I need to solve 5 :(
Answers
Answer:
the distance between df is just 2dj so i belive its 12.
Step-by-step explanation:
Please solve with explanation high points
Answers
Answer:
a. -2x^2 + 3x+5=y
b.-x^2 +5x-4=y
c.-x^2 +6x-12=y
Step-by-step explanation:
a.y=-2x^2 +bx+c
the points P and Q lie on curve
[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]
=> b=3, c=5
b. delta = b^2 +4c
x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4
=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8
x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1
=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]
suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a
=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]
=> a=-3
b=5
a=-3 => [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.
c.vertex (3;-3)
[tex]\frac{-b}{-2}[/tex]=3 => b =6
[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.
The radius of a circle is 14 centimeters. What is the circle's circumference?
Answers
Hello!
To solve this exercise, we must use the formula below:
[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]
C = ?π = 3.14r = 14cmKnowing these values, let's replace them in the formula to obtain r:
[tex]\mathrm{C=2\cdot 3.14 \cdot 14}\\\mathrm{C=6.28 \cdot 14}\\\\\boxed{\mathrm{C=87.92}}[/tex]
So, the circle's circumference is 87.92cm.
Hope this helps!
Answer:
[tex]\boxed{\sf{87.92cm}}[/tex]Step-by-step explanation:
To solve this problem, you need to multiply the radius of a circle by the circumference formula.
Circumference formula:
[tex]\sf{C=2\pi r}[/tex]
[tex]\sf{C=2*\pi r}[/tex]
C=?
π= 3.14
r= 14
[tex]\sf{2*3.14*14}[/tex]
Solve.
[tex]\sf{2*3.14=6.28}[/tex]
[tex]\sf{6.28*14=\boxed{\sf{87.92}}[/tex]
Therefore, the correct answer is 87.92cm.I hope this helps you! Let me know if my answer is wrong or not.
A missionary used his plane to take an injured girl 855 kilometers to the hospital. If he flew at an average speed of 171 kilometers per hour, how long did it take to reach the hospital?
Answers
Step-by-step explanation:
171 km/h
travel distance = 855 km
855 / 171 = 5 hours
it took him 5 hours to fly the 855 km (theoretically to the hospital).
normally, with a plane, you can't land on or at a hospital. you would need a helicopter to be able to do that.
so, he could only fly to a nearby airport, and then travel from there to the hospital. but we have no information about that.
Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts
Answers
[tex]s = 5000(1.07) {}^{t} [/tex]
[tex]s = 5000(1.07) {}^{10} [/tex]
[tex]s = 5000(1.96715)[/tex]
[tex]s = 9835.756 \: dollars[/tex]
What is the area of this figure?
Answers
Answer:
cover an area of 404 area
Step-by-step explanation:
23*8+11*20=404(area)
P: Using your prior knowledge how would you find the area of a rectangle ?
Answers
Answer: w * l
To find the area of a rectangle the formula used is width x length
Step-by-step explanation:
Given P(E or F) = 0.69, P(E) = 0.49, and P(E and F) = 0.06, what is P(F)?
Answers
Answer:
P(F) = 0.26
Step-by-step explanation:
Given:
P(E ∪ F) = 0.69P(E) = 0.49P(E ∩ F) = 0.06Using formula: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)
⇒ 0.69 = 0.49 + P(F) - 0.06
⇒ 0.69 = 0.43 + P(F)
⇒ P(F) = 0.69 - 0.43
⇒ P(F) = 0.26