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.

Chana And Josiah Started Skating At The Same Time In The Same Direction, But Josiah Had A Head Start

Answers

Answer 1

Answer:

josiahs distance from the starting line at a time when shes behind josiah

Step-by-step explanation: got it right in khan

Answer 2

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

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

7 5/8 + 1 1/2 = ?


how do you do it?? need help!

Answers

9 1/8 you need common denominators for the fractions so multiply 1/2 by 4

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.

Write the percent as a decimal.

78% =

Answers

Answer:

0.78

Step-by-step explanation:

78 / 100

note that 100% = 1

how many feet is the answer?

Answers

Answer:

1023 feet

Step-by-step explanation:

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)

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]

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

Answer:  300 dollars

Work Shown:

i = P*r*t

i = 3000*0.025*4

i = 300

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 :)

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 = 5/6

Take 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 + 16

Take 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]

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


At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?

Answers

2pizza serves 6 people
1pizza serves 6/2 people
8pizza serves 6/2*8
=24people
8pizza serves 24 people

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]

I need to solve 5 :(

Answers

Answer:

the distance between df is just 2dj so i belive its 12.

Step-by-step explanation:

P: Using your prior knowledge how would you find the area of a rectangle ? ​

Answers

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Answer: w * l

To find the area of a rectangle the formula used is width x length

Step-by-step explanation:

Test question, are you able to hold yourself from adding an answer?

Answers

yes you are able to hold yourself from adding an answer

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.

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]

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!

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 = 14cm

Knowing 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.

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) = 0.06

Using 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


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

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

his meal has a total of 551 calories.

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

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

A line with a slope of -10 passes through the
points (a, 6) and (-6, -4). What is the value
of a?
a =

Answers

i think the answer would be -8,6

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

Which graph represents an exponential function?

Answers

Answer:

the linear graph man

please why ask ezzy questions

Which number line shows the solution set for l s/2 +4 l <2

Answers

Step-by-step explanation:

Hopefully this was helpful!

-5x+y=-10 and -4x-y=-26

Answers

Answer:

[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

:)

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

Other Questions
what does Y=what does x= Which famous researcher developed the ""hierarchy of needs"" used in the study of motivation?. Who appoints the secretary of each of the cabinet departments in Louisianas executive branch? the outgoing secretary the legislature the lieutenant governor the governor The polygon given below is a regular pentagon. A. 54 B. 108 C. 135 D. 540 Which red line shows the same action spectrum corrected for the unequal number of photons emitted across the visible spectrum?. Are my answers correct? If the force generated by the car to push it forward is 8,000 N, what can be said about the force opposing the cars motion? Hello people ~Sugarcane is propagated by(a) stem cutting(b) leaf buds(c) root cutting(d) seeds Need help on this question ASAP please please !! When two protein chains combine to form an active protein, the structural level is ________ find the highest common factor (HCF) of 30 and 45 What is the first thing that can cause a change in allele frequency?1. Large sample size2. Extremely large sample size3. Small sample size What is the "stuff that Dickie is given to drink before the exam? Why is he given it? Use the bond energy to calculate an approximate value of h for the following reaction. Which is the more stable form of fno2? a right angled triangle has 5cm opposite side, 9cm adjacent side. find length of hypotunise Find the exact value of sin(255) Choose the set of words that all have thelong "a" sound.aA. passes, caused, swarm, fastestB. after, appear, contact, aroundC. hazy, behave, traced, formationD. scan, solar, farther, astronomer In what ways have e-books reimagined what a book can be? General solution of: (1-xy)^-2 dx + [y^2 + x^2 (1-xy)^-2]dy = 0show two solution on your answernonsense answer deleted You are living in India during the rule of Ashoka. Write a letter to a friend describing the things Ashoka is doing as a leader. In your letter, explain whether you think Ashoka is a great ruler.