Kyla alternates between walking and jogging on an 11-mile trail. Her walking speed is 4 mi/h, and her jogging speed is 6 mi/h. Kyla takes 2 hours to go from the beginning to the end of the trail. Write and solve an equation to find the distance Kyla walked and the distance she jogged.

Answers

Answer 1

Answer:

Kyla walked 2 miles and jogged 9 miles

Step-by-step explanation:

Let the distance Kyla walked be x

and the distance Kyla jogged be y

Since the trail is 11-mile long, then

x + y = 11

Now, from the question,

Her walking speed is 4 mi/h and her jogging speed is 6 mi/h

Let the time spent to walk be t₁ and the time spent to jog be t₂

From

Distance = Speed × Time

Then, the distance walked x is

x = 4 mi/h × t₁

and the distance jogged y is

y = 6 mi/h × t₂

From the question, Kyla takes 2 hours to go from the beginning to the end of the trail, that is

t₁ + t₂ = 2 hours

∴t₁ = 2 - t₂

Since

x + y = 11, then we can write that

(4 mi/h × t₁) + (6 mi/h × t₂) = 11

But t₁ = 2 - t₂

Then,

(4 mi/h × t₁) + (6 mi/h × t₂) = 11; becomes

(4 mi/h × (2 - t₂)) + (6 mi/h × t₂) = 11

8 - 4t₂ + 6t₂ = 11

2t₂ = 11 - 8

2t₂ = 3

t₂ = 3/2

t₂ = 1.5 hours

This is the time spent to jog

Then, from t₁ = 2 - t₂

t₁ = 2 - 1.5

t₁ = 0.5 hour

This is the time spent to walk

Now, For the distance Kyla walked, x

x = 4 mi/h × t₁

x = 4 mi/h × 0.5

x = 2 miles

Hence, she walked 2 miles

and for the distance Kyla jogged, y

y = 6 mi/h × t₂

y = 6 mi/h × 1.5

y = 9 miles

Hence, she jogged 9 miles


Related Questions

helpp pleaseee <3 !​

Answers

Answer:

I belive the first one is 5:7 And the second one is 7:12

Step-by-step explanation:

-1/2 = m -7/4
solve for m

Answers

Answer:

[tex]\boxed {m = \frac{5}{4}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]m[/tex]:

[tex]-\frac{1}{2} = m - \frac{7}{4}[/tex]

-Switch sides:

[tex]m - \frac{7}{4} = -\frac{1}{2}[/tex]

-Add both sides by [tex]\frac{7}{4}[/tex] and the least common multiple of both [tex]2[/tex] and [tex]4[/tex] is [tex]4[/tex]. So, convert [tex]-\frac{1}{2}[/tex] to a fraction with denominator [tex]4[/tex]:

[tex]m - \frac{7}{4} + \frac{7}{4} = -\frac{1}{2} + \frac{7}{4}[/tex]

[tex]m = -\frac{2}{4} + \frac{7}{4}[/tex]

-Since both [tex]-\frac{2}{4}[/tex] and [tex]\frac{7}{4}[/tex] have the same denominator, then you would add the numerators:

[tex]m = \frac{-2 + 7}{4}[/tex]

[tex]\boxed {m = \frac{5}{4}}[/tex]

Therefore, the value of [tex]m[/tex] is [tex]\frac{5}{4}[/tex].

In a traffic jam, it once took me 2.5 hours to drive 30 miles across Atlanta. What was my speed in miles per hour on this trip?

Answers

speed = distance ÷ time = 30 ÷ 2.5 = 12 mph

help what is the solution for : 5 + |x| = 14

Answers

Answer:

9

step by step explanation

5+x=14

14-5=9

x=9

please someone help ... ( i’ll mark brainiest , hehe :) )

Answers

a. 25+90=115, 180-115=65 (III) b. 65+90=155, 180-155=25 (I) c. 180-25=155 (V)

How many solutions does the equation have? If there is only one, determine the value.

12
y

18
=
6
(
2
y

3
)

Answers

Answer:

0=0

Step-by-step explanation:

Infinite

The given equation can be rearranged to equate both side of the equation and thus we can get equivalent on both side as 6 (2y-3) = 6 (2y-3). Therefore, y can have any values from 0.

What are algebraic equations?

Algebraic equations are expression used to represent the relation between two values by some letters or alphabets whose values are not specified in the equation.

In general, the letters x and y are used in the algebraic equations. They can linear or non-linear equation. By rearranging this equations we can determine the values of x and y.

Given the expression 12 y - 18 = 6 (2y - 3). From the left hand side, divide the part 12 y - 18 by 6. Thus we obtain the expression equivalent to the right hand side as 6 (2y - 3).

Therefore, 6 (2y - 3) = 6 (2y - 3). Which means both sides are equal and have equal value of y. means y can have any values from zero since all the terms including y is zero both side.

Thus, giving any value to y will always remains the same equation.

To find more about algebraic equations, refer the link below:

https://brainly.com/question/953809

#SPJ5

Custom steel products also makes staircase frames like those shown here. How would the pattern you described be shown in a table? Graph? Equation?

Answers

Answer:

Graph would be the most reasonable.

Step-by-step explanation:

Hope I helped, good luck!<3!!

Can you always draw a piecewise function without picking up your pencil.

Answers

Answer:

Yes

Step-by-step explanation:

A function is continuous on an interval if the graph has no breaks, jumps, or holes. You can draw it without picking up your pencil.

Estimate: 10 + 24.73 A 25 B 15 C 125 D 35 ​

Answers

Answer: 35

To estimate, we can remove the decimal points and numbers.

So, now we have 10 and 24. Count on by tens since we have one 10.

24, 34 (24 + 10 = 34)

34 is closest to the number 35, it is one away.

The answer is 35. Hope this helps you!

(2+7-1)divided by 2 over 2

Answers

8 I don’t know how to explain but the answer is
8

Answer:

The answer is 2

Step-by-step explanation:

[tex](2 + 6) \div 2 {}^{2} \\ \\8 \div 4 = 2[/tex]

help me pleaseeee.........​

Answers

9514 1404 393

Answer:

y = 204^8x = 0

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^0 = 1 . . . . for a ≠ 0

__

And, it is convenient to know the cubes of small integers:

  1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125

  6³ = 216; 7³ = 343; 8³ = 512; 9³ = 729; 10³ = 1000

__

1) p^3 × p^5 = p^-12 × p^y

Equating exponents:

  3 + 5 = -12 + y

  20 = y . . . . . . . . . . . add 12

__

2) 64 × 4^5 = 4^3 × 4^5 = 4^(3+5) = 4^8

__

3) 10^x = 1 = 10^0

  x = 0

answer:

okay so i did it and i got these answers

- y = 20

- 4^8

- x = 0

step-by-step explanation:

my work

- p^3 × p^5 = p^-12 × p^y then 3 + 5 = -12 + y so: 20 = y

64 × 4^5 = 4^3 × 4^5 = 4^(3+5) so: its 4 over 8

10^x = 1 = 10^0 so: its 0

hope this helped :) pls give me brainliest <3

Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. What is the total amount of money she spent, before tax?​

Answers

Answer: $62.75

Step-by-step explanation:

1.)$20.00 x2= $40.00

2.)$14.50 +$8.25= $22.75

3.)$40.00 +$22.75= $62.75

Hope this helps

will mark brainles if answered quickly

Answers

Answer:

A {-3, -2, -1, 0, 1, 2, 3}

Answer:

A

Step-by-step explanation:

Rational numbers are whole numbers

FRESHMEN MATH PLEASE HELP

Answers

Answer:

see below

Step-by-step explanation:

[tex]\sqrt{2}\approx 1.41\\\\\sqrt{3}\approx1.73\\\\\sqrt{4}=2\\\\\sqrt{5}\approx2.23\\\\\sqrt{6}\approx2.44\\\\[/tex]

so we can say

[tex]1.36<\sqrt{2}<2.45\\\\1.65<\sqrt{3}<2.34\\\\1.65<\sqrt{4}<2.34\\\\2.16<\sqrt{5}<3.45\\\\2.41<\sqrt{6}<3.56[/tex]

that's the smalles possible intervals I could find, i don't know if those are the smalles, but those are what I found

can you tell who is the fastest animal In the world

Answers

Answer:

Cheetah

Step-by-step explanation:

The √28 is between which two whole numbers?

Answers

Answer:

between 5 and 6

Step-by-step explanation:

Choose 2 perfect squares either side of 28, that is

25 < 28 < 36, then

[tex]\sqrt{25}[/tex] < [tex]\sqrt{28}[/tex] < [tex]\sqrt{36}[/tex] , thus

5 < [tex]\sqrt{28}[/tex] < 6

the cost for a pack of 15 pens is $3.15. find the unit price in dollars per pen. if necessary, round to the nearest cent

Answers

each pen is $0.21, you solve by dividing 3.15 by 15 (3.15/15)

Right answer is correct

Step-by-step explanation:

3x=6

X=6

_

3

X=2..

3Y=3

Y=3/3

Y= 1

Convert 3x - 5y = 30 into Slope-Intercept Form

1) y = -3x - 6

2) y = -3x + 5y + 30

3) y = 3/5x - 6

4) y = 5/3x - 6

Answers

3x - 5y = 30
-3x on both sides
-5y = 30 - 3x
/-5 on both sides
y = -6 + 3/5x
y = 3/5x - 6

Answer:
#3 : y = 3/5x - 6

What congruency theorem would this be : SSS, SAS or ASA ???

Answers

It is probably sss but I’m not good at these but I see no angles so yeahhh

A contractor bought 12.6 ft2 of sheet metal. He has used 3.7 ft2 so far and has ​$160.20 worth of sheet metal remaining. The equation 12.6x−3.7x=160.2 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square​ foot?

Answers

Answer:$18 per square foot

Step-by-step explanation:

12.6x-3.7x=160.2

8.9x=160.2

x=18

$18 per square foot

TEEHEE HELPP ME PLS PLS PLS PLS???

Answers

Answer:

That is true not false dont get confused

Giovanni went to the Lowe’s looking for supplies. He bought three pounds of cement for $27.75 per pound. A plant for $12.58. He paid $8.99 is sales taxes. How much did he pay in total at Lowe’s?

Answers

Step-by-step explanation:

Hey there! Let's break this answer down.

1. If he bough 3 pounds of cement for $27.75 each, that 3x27.75, which is $83.25. So he spent $83.25 on cement.

2. Next, add $12.58 for the cost of the plant to $83.25, which $95.83.

3. Finally, he paid $8.99 for the sales tax. When adding that to $95.83, we get $104.82.

So, his total was $104.82.

Have a great day!

Answer:

104.82

1Step-by-step explanation:

27.75 times 3 equals 83.25 plus 12.58 equals 95.83 then add 8.99 which is $104.92

f(x)=2x+1,g(x)=X2-2x-4

Answers

(x)=2x+1,g(x)=X2-2x-4

(x)=2•x+1
(x)=X•2-2•x-4

x = -1
2X-3x = 4

X = 1
2
= 0.5
x = -1

Write 2^3×2^6 as a single power of 2.​

Answers

2^9, as when multiplying two numbers with the same base “2” the exponents are added.

Answer:

The answer is 2^9

Step-by-step explanation:

You add the exponents.

Thats it.

is 55 810 a multiple of 10

Answers

Answer:

Yes

Step-by-step explanation:

Any number that ends with a zero is a multiple of 10

Yes 10 *5581 = 55810

Solve for y; 1/y = a/w + w/a ​

Answers

Do it yourself GET OFF THIS APPPPP just kidding idk the answer

Answer:

y = aw/(a^2 + w^2)

Step-by-step explanation:

Given

1/y = a/w + w/a

Solving for y

1/y = a/w + w/a1/y = (a^2 + w^2)/awy = aw/(a^2 + w^2)

(b^2+5) (-b^2+7) I need help asap pleas and thank you if you do

Answers

Answer:

42

Step-by-step explanation:

b to the second power thats 1 plus 1 plus 5 times -1to the second power plus seven times 7 and 6 get you the answee 42

please please help me!!​

Answers

Answer:

k=1

Step-by-step explanation:

because the intercept form, y=mx plus b the y intercept changes where the graph is positioned. the line has been translated down to the y intercept 1, therefore that is what k equals

\Mrs. Sing invests $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will Mrs. Sing substitute for r in the simple interest formula?

I = p r t
0.007
0.07
0.7
7

Answers

Answer:

0.07

Step-by-step explanation:its becuase 7% outta 100% =0.07. so  I=Prt

We have to solve for r

r=r/100

7%/100

0.07 per year

Hope this helps mark as brainliest plz

Answer:

0.07

Step-by-step explanation:

give brainlest pls

I need help to solve it

Answers

Answer:

to solve what

Step-by-step explanation:

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