3 Elena and Jada are 32 miles apart on a path when they start
moving toward each other, Elena runs at a constant speed of 6
miles per hour, and lada walks at a constant speed of 2 miles per
hour, How long does it take until Elena and Jada meet? Complete
the table to show your reasoning,
(table: 8 points total-
2 points
for each section)
Elapsed Time
Distance Apart
(hours)
(miles)
0
32
1
24
2
8 을
Hours it takes Elena and Jada to meet: (2 points)

Answers

Answer 1

Answer:

The hours it takes Elena to meet Jada = 4 hours

Step-by-step explanation:

The distance between Elena and Jada = 32 miles

The speed with which Elena runs = 6 miles per hour

The speed with which Jada walks = 2 miles per hour

Let t, represent the time it takes until Elena and Jada meets, we have;

Distance = Speed × Time

The total distance covered by both Elena and Jada before they meet = The distance between them = 32 miles

The distance covered by Elena before meeting Jada = Elena's speed × The time that elapsed for them to meet

∴ The distance covered by Elena before meeting Jada = 6 mph × t

The distance covered by Jada before meeting Elena = Jada's speed × The time that elapsed for them to meet

∴ The distance covered by Jada before meeting Elena = 2 mph × t

The total distance covered by both Elena and Jada before they meet = The distance covered by Elena before meeting Jada + The distance covered by Jada before meeting Elena = 32 miles

∴ The total distance covered by both Elena and Jada before they meet = 6 mph × t + 2 mph × t = 32 miles

t × (6 mph + 2 mph) = 32 miles

t × 8 mph = t × 8 miles/hour = 32 miles

t = 32 miles/(8 miles/hour) = 4 hours

The time it takes until Elena and Jada meets = t = 4 hours


Related Questions

Solve the equation
5(4+t) = 5t + 20

Answers

the answer is T=0 or 0
=
0

Answer:

it is infinite solutions

Step-by-step explanation:

because 20+5t=20+5t even if you put any number as the variable

solve the equation 4x²+4x+1=0​

Answers

Answer: x = -1/2

4x² + 4x + 1 = 0

⇔ (2x + 1)² = 0

⇒ 2x + 1 = 0

⇔ x = -1/2

Step-by-step explanation:

Please help! what does the quotient of x and three increased by thirty-four look like as a problem? and why?

will name the brainliest!!

Answers

Answer:

x/3 + 34

Step-by-step explanation:

The quotient of x and 3 would be written as x/3.

(I am guessing that increased means add, because multiplied would say times, by, or multiplied.)

4 cakes and 3 doughnuts cost £11, 4 cakes and 7 doughnuts cost £23.
Work out the cost of one cake and one doughnut separately

Answers

A doughnut costs £3
A cake costs 50p
This is because from the question you can see that buying 4 more doughnuts costed £12 more
So if 4 = £12, 1 = £3
Now you have the price of a single doughnut you can work out the price of a cake.
3 doughnuts would cost 3 x £3 so £9
Then subtract this from £11 to find the price of 4 cakes.
£11 - £9 = £2
So if 4 cakes = £2, 1 cake = 50p

Can someone help me on this? Will mark brainleist if they get it right!

Answers

Answer:

2.5

Step-by-step explanation:

2500 ÷ 1000

*Sorry if this is wrong*

The sum of 8 times a number and 3 is equal to 2.

Answers

Answer:

-1/8

Step-by-step explanation:

Let's assign this "number" the variable n:

8n + 3 = 2

8n = -1

n = -1/8

The Verrazano Narrows Bridge has a main span of 4,260 feet. The Akashi Kaikyo Bridge has a main span that is 53% longer. What is the length of the main span of the Akashi Kaikyo Bridge to the nearest foot?

a2,002 feet
b2,258 feet
c7,170 feet
d6,518 feet
explain

Answers

Answer:

i think it is 2,002

Step-by-step explanation:

When you answer on a lot of posts anf now your phone is having a notification rave- ​

Answers

Haha! I know how that feels

Complete the statement, then write the postulate you used.

Please help! I’ll give brainliest!

Answers

The answer is MN with a bar/line on top of it

The point (3, ) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph? Select all that apply. O A. (1,0.4) B. (1.5, 0) oc. (1, 3) OD. (4, 5) E. (15,6). PLEASE HELLPPPPP ​

Answers

Answer:

A)

Step-by-step explanation:

i got iititititiittiitiitititititititt

The
The table shows the average daily number of hours sleep of 10 children.
Age (years)
6 1 3 8 4 5 2 7 9 7
Number of hours sleep 12.5 15 13.2 11 14 12 14 11.69.8 11
The first eight results have been plotted.
a) Plot the next two points.
x
Number of hours sleep
b) What type of correlation is shown
by the graph? Negative
10
c) Draw a line of best fit.
2
4
6
8
10
Age (years)
Please help.

Answers

Answer:

C: about 10 Hours

Step-by-step explanation:

i was on the assignment and i got C correct  

The missing points are (7, 11), and (9, 9.8) and the type of correlation is negative.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

Let the line of best fit is:

y = mx + c

The missing points are:

(7, 11), and (9, 9.8)

The correlation will be negative.

The line of best fit is shown in the picture.

Thus, the missing points are (7, 11), and (9, 9.8) and the type of correlation is negative.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ5

The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?​

Answers

Answer:

It's simple. All you need to do is subtract 2 from 40.

Length: 40 ft

Width: 38 ft

Hopefully that helped! :)

Step-by-step explanation:

solve the equation:
6= k/9
k=
PLSSSSSSSSSSSSSSSSSS HELP MEEEE

Answers

So you want to isolate the variable first.
For this you would have to multiply 9 to both sides.
6*9 = k/9 * 9
That would give you...
54 = k
Hope I helped:)

Guys plz help me answer this!!!!!

Answers

Answer:

y= -2x+6

Step-by-step explanation:

If ur able to use a calculator there is a slope calculator online and it's easy to use

y=2x+6
it’s y2-y1/x2-x1

Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)

Answers

Answer:

[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]

Step-by-step explanation:

Which linear inequality is represented by the graph?
O y > 1/3x - 4

O y < 1/3x - 4

O y < 1/3x + 4

O y > 1/3 x + 4

Answers

Y&it;1/3x-4 I’m pretty sure it’s right

Kailey correctly graphed the opposite of –3.3 on the number line.

A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.

Which point could be the point Kailey graphed?

Answers

The opposite of -3.3 is 3.3, so she if she graphed correctly she graphed point C

The number line shows that Kailey could have graphed the point C (3.3).

Number Line

The number line is the graphic representation of real numbers whose center is represented by the number zero (0). The negative numbers are on the left side of the number line, on the other hand, the positive numbers are written on the right side. See the attached image.

Opposite Numbers

Opposite numbers are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).

STEP 1 -  Plot the number line

Plot the number line with the given limits: -5 to 5. See the attached image.

STEP 2 -  Plot the given points in the number line

Plot the points A, B,C an D in the number line drawn in step 1. See the attached image.

STEP 3 -  Analyse the plotted number line

Like the point graphed is the opposite of -3.3, Kailey could have plotted the point C which is at 3.3 since the sum between -3.3 and 3.3 is equal to zero (0).  

-3.3+3.3 =0

Read more about opposite numbers here:

https://brainly.com/question/13114728

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16. A negative number x a negative number is always positive. *
true
false
nositi

Answers

Answer:

True.

Step-by-step explanation:

I don't know the explanation behind any of it, but a negative number, when multiples by another negative number, is always positive.

The sum of two number is 18. 5 times the first number subtracted from 4/7bof the second number is 14. Find the number

Answers

Answer:

The numbers are [tex]-\frac{2}{3}[/tex] and [tex]18\frac{2}{3}[/tex]

Step-by-step explanation:

Let x and y be the numbers

According to the statement, "The sum of two number is 18.", first equation will be:

[tex]x+y = 18\ \ \ \ Eqn\ 1[/tex]

And according to "The sum of two number is 18. 5 times the first number subtracted from 4/7bof the second number is 14." Second equation will be:

[tex]\frac{4}{7}y-5x = 14[/tex]

Multiplying whole equation by 7

[tex]7*\frac{4}{7}y-7*5x = 7*14\\4y-35x=98\\-35x+4y = 98\ \ \ \ Eqn\ 2[/tex]

From equation 1

[tex]x+y = 18\\y = 18-x[/tex]

Putting this in second equation

[tex]-35x+4(18-x) = 98\\-35x+72-4x= 98\\-39x = 98-72\\-39x = 26\\\frac{-39x}{-39} = \frac{26}{-39}\\x = -\frac{2}{3}[/tex]

Putting x = -2/3 in equation 1

[tex]-\frac{2}{3}+y = 18\\y = 18+\frac{2}{3}\\y = 18\frac{2}{3}[/tex]

Hence, the numbers are [tex]-\frac{2}{3}[/tex] and [tex]18\frac{2}{3}[/tex]

PLEASE HELP ASAP IT IS VERRY IMPORTANT!!!
If the vertex of f(x) is (-9,-7), what is the vertex of f(x-5)+3?

Answers

Answer:The vertex is

(0,7)

Sometimes we have problems with the easier questions because it's not exactly in the form we're used to. Normally for a quadratic, you would complete the square to find the vertex. But this quadratic is already in vertex or standard form:

f(x)=−(x−0)2+7

Step-by-step explanation: Hope this helps

¿Cuál es el resultado? de la siguiente ecuacion 5x+2=12 *

Answers

Answer: X=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5x+2=12

5x= 12-2

5x= 10

x= 10/5

x=2

Please help with the attatched!

Answers

Answer: a + b = 40

[tex](3+\sqrt{5})(7-6\sqrt{5})=3.7+7\sqrt{5}-3.6\sqrt{5}-6\sqrt{5}.\sqrt{5}\\\\=21+6.5-11\sqrt{5}\\\\=51-11\sqrt{5}[/tex]

because [tex](3+\sqrt{5})(7-6\sqrt{5})=a+b\sqrt{5}[/tex]

=> a = 51

    b = -11

=> a + b = 51 -11 =40

Step-by-step explanation:

Answer:

[tex]a = -9 - 11\sqrt{5} - \sqrt{5}b[/tex]

a = 51

b= -11

The sum of 324 and 135 is 503. Which number base was used for this calculation.

Answers

Answer:

Base 6 was used

Step-by-step explanation:

Here, we want to find which number base was used for the addition calculation

We start by adding the two end numbers

4 + 5 = 9

But 3 was recorded;

That means we can have 6 as the number base( 9/6 = 1 r 3)

We still continue to verify this;

The next addition is 2+3 = 5, adding the 1 brought forward, we have 6, but 0 was recorded

6/6 is (1 r 0)

This still further corroborated the earlier assertion;

then lastly 3 + 1 + 1 (1 brought forward); 5

This was recorded directly to show that the base in question is not less than 5

Hence our base of addition is base 6

Help me I want good grades i

Answers

the second one the unit rate is 2.05 i think

13.El área de un terreno rectangular es de 24 m2. Si el largo mide 2 m más que el ancho. A=24 m2 a) ¿Qué ecuación cuadrática resuelve el problema? b) ¿Cuáles son sus dimensiones? Largo= Ancho=

Answers

Answer:

Area = L · A = 24 m²

L = A + 2

reemplazamos:

(A + 2) · A = 24

A² + 2A - 24 = 0   ⇒ esta es la ecuacion quadratica

la solucion es: (A + 6) · (A - 4)

largo = 6 metros

ancho = 4 metros

19 POINTS AND ILL GIVE BRAINLIEST!!


Which number is equivalent to this expression? 3+0.1+0.004
A. 314
B. 3.14
C. 3.104
D. 3.1004

Answers

Answer:

3.104 (option c)

Step-by-step explanation:

3 + 0.1 + 0.004 = 3.104

Answerrrrrrrrrrrrrrr: C

Solve 6(1 − 3d) < 2(7d + 6) for d.

Answers

Answer:

e

Step-by-step explanation:

a

PLEASE WILL GIVE BRAINLIEST!!

Answers

Step-by-step explanation:

Hey there!

According to the figure;

9v = 31° + 4v + 44° { The exterior angle is equal to the sum of opposite adjacent interior angles}

9v-4v = 44°+31°

5v = 75°

v = 75°/5

Therefore, v= 15°.

Hope it helps...

Which of the following cannot be simplified?

Answers

Answer:

C

Step-by-step explanation:

Answer:

c. 8x-1

Step-by-step explanation:

all of the other ones can be simplified in some way

Find the length of side x in simplest radical form with a rational denominator.
45
6
45
X

Answers

Answer:

x = 6

Step-by-step explain

[tex]\frac{x}{6} = \frac{1}{1} \\\\x=\frac{1 * 6}{1} \\\\x= 6 \\\\Answer: 6\sqrt{2}[/tex]

Answe

Step-by-step explanation:

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