Two girls scout troops are completing a wilderness campout. Use the information to answer the questions. The Blue Tripp hikes 2/3 mile every 1/2 hour. The Yellow Troop hikes 3/4 mile every 1/3 hour. How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Blue tripp:

Hikes 2/3 miles every 1/2 hour

Yellow troop:

Hikes 3/4 miles every 1/3 hour

How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?

To hike 1 1/2 miles

Blue troop:

2/3 miles = 1/2 hours

3/2 miles = x

2/3x = 3/4

x = 3/4 * 3/2

x = 9/8 = 1 1/8 hours

Yellow troop:

3/4 = 1/3 hours

3/2 = x

3/4x = 3/6

x = 3/6 * 4/3

x = 12/18 = 2/3 hours

To hike 1/2 mile :

Blue troop:

2/3 miles = 1/2 hours

1/2 miles = x

2/3x = 1/4

x = 1/4 * 3/2

x = 3/8 hours

Yellow troop:

3/4 = 1/3 hours

1/2 = x

3/4x = 1/6

x = 1/6 * 4/3

x = 4/18 = 2/9 hours

To hike 3/4 miles :

Blue troop:

2/3 miles = 1/2 hours

3/4 miles = x

2/3x = 3/8

x = 3/8 * 3/2

x = 9/16 hours

Yellow troop:

3/4 = 1/3 hours

3/4 = x

3/4x = 3/12

x = 1/4 * 4/3

x = 4/12

x = 1/3 hours


Related Questions

Need help ASAP
A book has 13 chapters. The mean length of the chapters is 42 pages. How many total pages are there in the 13 chapters?

Answers

Answer:

546 pages

Step-by-step explanation:

the mean is the average .So just multiply the number of pages by chapters.

1×42 for 1 chapter = 42 pages a chapter

thterefore 13×42 for 13 chapters = 546 pages

what is the answer to x2-49=0 (must show work)

Answers

2x-49=0

—> 2x=49

—> 2x 49
— = —
2 2

—> x=24.5

Answer:

x = 7, x = -7

Step-by-step explanation:

Hi there!

We are given the following equation:

x²-49=0

And we want to solve it for x

x²-49 is actually written in the difference of squares formula, which is a²-b²=(a+b)(a-b)

In this case, x² and 49 represent a² and b², so we'll need to find a and b

For x², we need to find which number or variable multiplies itself to equal x²; in this case, it will be x (x*x=x²)

For 49, we need to find which number multiplies itself to equal 49; in this case, it will be 7 (7 * 7 = 49)

Thus, a in this case is x, and b is 7

Now substitute these values into the formula.

(a+b)(a-b)= (x+7)(x-7)

Now set (x+7)(x-7) (which is x²-49, just expanded out) equal to 0

(x+7)(x-7)=0

Now using zero product property, split and solve:

x+7=0

subtract 7 from both sides

x=-7

x-7=0

Add 7 to both sides

x=7

Therefore, the answer is x = 7, x = -7 (there are 2 answers here that work!)

Hope this helps!

See more on the difference of squares here: https://brainly.com/question/1414397

Challenge An arts academy requires there to be 5 teachers for every 95 students and 6 tutors for every 48 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 80 students? ​

Answers

Step-by-step explanation:

T : S

5 : 95

1 : 19

Tu : S

6. : 48

1. : 8

10 : 80

There are 19 students per teacher.

There are 8 students per teacher.

The school will need 10 tutors if there is 80 students.

Please help me on this question

Answers

Answer:

Step-by-step explanation:

The sample space is just A, B, C, D, E, F.

The probability of choosing B, C, E can be found as follows:

There are 3 desired possibilities: picking B, picking C, or picking E.

There are 6 total possibilities (from the sample space)

So the probability is 3/6 = 1/2.

Use the algebra tiles to model x – 2. Then choose the answer that describes the correct tiles. One blue x tile and two orange tiles one orange x tile and two blue – tiles one blue x tile and two blue – tiles one orange x tile and two orange tiles.

Answers

The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles

What are algerbra tiles?

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x -2.

Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.

Using algebra tiles provides a more visual way for us to solve our problems.

The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles

Hence, the correct statement which describe about the algerbric tile one orange x tile and two blue – tiles

To know more about algerbra tiles click the link given below.

brainly.com/question/81876

Answer:

its B

Step-by-step explanation:

Please help me out And show work

Answers

Answer:

D

Step-by-step explanation:

because 4 quarters is 100 and 3 quarters is 75 so 4 and 3 quarters is 7 quarters and that would give you 175 so if you add both 200 and 175 that gives you 375

Can the sides of a triangle have lengths 7.6, 2.5, and 2.2?

Answers

Answer:

No.

Step-by-step explanation:

Given the following question:

[tex]7.6, 2.5, 2.2[/tex]

In order for any given sides to form a triangle it has to pass the triangle inequality theorem, which is the sum of any two given sides of the triangle has to be greater than the third side in order for it to be a triangle.

In this case...
[tex]7.6, 2.5, 2.2[/tex]
[tex]7.6 + 2.5 = 10.1[/tex]
[tex]10.1 > 2.2[/tex]

[tex]2.5+2.2=4.7[/tex]
[tex]4.7 < 7.6[/tex]

[tex]7.6 +2.2=9.8[/tex]
[tex]9.8 > 7.8[/tex]

Therefore, your answer is "no" the following sides do not form a triangle.

Hope this helps.

3(2x+1)+7=6x-3-2(2-4x)
What is x?
Give as an improper fraction in its simplest form

Answers

Answer:

Step-by-step explanation:

Use distributive property:a*(b +c) = (a*b) + (a*c)

3(2x + 1) + 7 = 6x - 3 - 2(2-4x)

3*2x + 3*1 +7 = 6x - 3x -2*2 + (-2)*(-4x)

6x + 3 + 7     = 6x - 3 - 4 + 8x

6x + 10          = 14x - 7

6x - 14x         = - 7 - 10

           -8x    = -17

              x    = -17/-8

x = 17/8

Jane's company makes solid metal balls for various industrial uses. A customer wants lead balls that have a diameter of 6 in. If Jane must make 80 of these balls, how much lead will she need? Use 3.14 for , and do not round your answer.​

Answers

Answer:

9043.2 inches³

Step-by-step explanation:

the volume of a sphere is (4÷3)πr³

the radius is 6÷2=3

so each ball needs (4÷3)(3.14)(3)³=113.04 inches³ of lead

113.04×80=9043.2

Final Question: What is the measure of x?
Angles are not necessarily drawn to scale.

Answers

Answer:

[tex]x=114[/tex]

Step-by-step explanation:

Since we know that a straight line is 180°, and we know that one of the angles is 66°, we can write a simple equation to figure this out: [tex]x+66=180[/tex] Then, to solve the equation all you would need to do is subtract [tex]66[/tex] from both sides to get [tex]x=114[/tex].

Can someone help me please?

Answers

Answer:

√28

Step-by-step explanation:

The diagonal of a square is √2 times the side length.

1.

For BD = 4, AD = 4/√2 and AE is half that, or 2/√2 = √2.

  The length of AE is √2.

__

2.

The area of the square is the square of the side length:

  Area = AE² = (2√2)² = 8

_____

Additional comment

The area of a quadrilateral in which the diagonals are perpendicular is found to be half the product of the diagonal lengths. Here, that would be ...

  1/2(4)(4) = 8 . . . square units

EXTRA POINTS! You scored 74, 88 and 82 on three tests. Write and solve an inequality to find the minimum score you need
to earn on the fourth test so that your mean test score is at least an 84. Please show process!

Answers

Answer:

You would at least a 90 to average out your score to an 84

but I dont know how to get the inequality sorry

I hoped this helped a little

Step-by-step explanation:

Fisrt you will need to find the average of the numbers by adding them up and dividing by 3 ( because there are 3 numbers )

which would give you 81

then you have to get at least above an 81 to make it go higher but you may have to do a little more than that there for 90 is what you need

2 1/3 - 1/3

Easy question

Answers

Answer:

the answer is 2

Step-by-step explanation:

just subtract 2 -

MARKING BRAINLIEST!
Two numerical patterns are shown below:

Pattern A: 6, 12, 18, 24, 30
Pattern B: 12, 24, 36, 48, 60

Select the statement that describes the numerical patterns.

A. The rule for Pattern B is "multiply by 2."
B. The rule for Pattern A is "multiply by 2."
C. Each term in Pattern B is one half the corresponding term in Pattern A.
D. Each term in Pattern A is one half the corresponding term in Pattern B.

Answers

Answer:

D

Step-by-step explanation:

D if you just multiple each by two for a you will get b

starting at (0,0 0 if you were to go 10 units left and 6 units up what coordination would you end up a

Answers

Answer:

(-10, 6)

Hope this helps! Please mark Brainliest!

help please i am struggling

Answers

Answer:

your x point is 2

Then, to help you for y=2x just make a table of values

So for y=2(1) y=2, y=2(2) y=4, y= 2(3) y=6

So theres 3 points to start which gives you a hint that each point goes up two times. (0,0) (1,2) (2,4) (3,6)

From the picture attached you can the y intercept is (2,4)

Select the choice that follows the correct sequence of steps in solving this inequality. 6x + 23 > -2x + 7

Answers

Answer:

x>2

Step-by-step explanation:

6x+23>-2x+76x+2x>7-238x>16 divide 8 both sidex>2aswer.

What is the relationship between the lines with the following equations?
2x+6y=12
y=3x−8
A) The lines are neither parallel nor perpendicular.
B) The lines are the same.
C) The lines are parallel.
D) The lines are perpendicular.

Answers

Answer:

D

Step-by-step explanation:

The answer is D because if you work the equations out the one m= - 1/3 and the other m=3

Determine whether the lines are parallel, intersect, or coincide.

Answers

Answer:

They intersect :)

Step-by-step explanation:

Hope this helps!

Answer plsssssssssssssss

Answers

Answer:

the answer is 3

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

What is the math answer 1/8 x 1/3?

Answers

Answer:

1/8 x 1/3 = 1/24  :)

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

take

1/8 x 1/3

so 1x1 = 1

1/

then 8x3=24

1/24

Four numbers are written in a row. the average of the first two is 21, the average of the middle two is 26, and the average of the last two is 30. what is the average of the first and last of the numbers?
will give brainliest

(a) 24. (b) 25. (c) 26. (d) 27. (e) 28.

Answers

Using the 3 given means, we can see that the mean of the first and last digits is 25, so the correct option is b.

What is the average of the last two numbers?

We have 4 numbers:

a, b, c, d.

We know that:

(a + b)/2 = 21(b + c)/2 = 26(c + d)/2 = 30

And we want to get

(a + d)/2

We can write this as:

(a + b)/2 - (b + c)/2 + (c + d)/2 = 21 - 26 + 30 = 25

The correct option is b.

If you want to learn more about means you can read:

https://brainly.com/question/14532771

Answer the question below!!! For brainliest!!

Answers

Answer:

4 students

Step-by-step explanation:

4 students are in the middle of the diagram, which means that they like all three colors evenly

posting one last time, please help

Answers

Answer:

[tex]f^{-1}(x)=\sqrt{x+1}-3[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=y=x^2+6x+8[/tex] with the domain restriction [tex]\{x\geq -3\}[/tex].

And we want to find the inverse of our function.

To find the inverse of our function, we take the following steps:

1) Swap x and y. 2) Solve for y.

Therefore, our inverse will be:

[tex]x=y^2+6y+8[/tex]

First, let's subtract 8 from both sides. So:

[tex]x-8=y^2+6y[/tex]

To solve for y, we can complete the square. To complete the square, we:

1) Divide the coefficient of the b term by 2. 2) Square that. 3) Add that number to both sides.

Our b term is 6. [tex]6/2=3[/tex], and [tex]3^2=9[/tex]. So, we will add 9 to both sides. This yields:

[tex](x-8)+9=(y^2+6y+9)[/tex]

Simplify the left. Complete the square on the right. So:

[tex]x+1=(y+3)^2[/tex]

Take the square root of both sides and solve for y:

[tex]y+3=\sqrt{x+1}\Rightarrow y=\sqrt{x+1}-3[/tex]

Subtract 3 from both sides. So, our inverse is:

[tex]f^{-1}(x)=\sqrt{x+1}-3[/tex]

Part 2)

See below for graph.

Here is also a good time to reinforce the idea of inverses. Notice that the domain of our original function f(x) is [tex]x\geq-3[/tex]. So, this means that the range of f(x) is (looking at the graph) is [tex]y\geq-1[/tex].

When we find the inverse, we will flip the domain and range. Therefore, the domain of our inverse function will be the range of our original function, and the range of our inverse function will be the domain of our original function.

From the graph, we can see that f⁻¹(x) has a domain of [tex]x\geq-1[/tex] and a range of [tex]y\geq -3[/tex]. Therefore, their domain and range are indeed opposites.

And we're done!

3/4 cup juice per 2/3 cup sugar, find cups juice per cup sugar

Answers

Answer:

9/8

Step-by-step explanation:

divide 3/4 by 2/3

use the KCF method

so your gonna get 3/4 divided 2/3 then change the division to multiplcation and then flip the 2/3 to 3/2

now multiply across: 3/4 × 3/2=9/8

A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material. Isosceles triangles K I T and K E T are connected at side K T. The length of K T is 10 inches. The length of sides K E and E T are 8 inches. The lengths of sides K I and I T are 6 inches. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch. 31 square inches 34 square inches 48 square inches 62 square inches.

Answers

The material needed for the kite is the area of the kite

The amount of material needed for the entire kite is 48 square inches

How to determine the amount of material

The given parameters:

KI =6 inches

ET = 8 inches

KT=10 inches

Area of ΔKIT = 17 square inches

Start by calculating the area of the bottom triangle using:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * KI * KT

This gives

Area = 0.5 * 6 * 10

Area = 30

The amount of material used is then calculated as:

Material = Area of the bottom triangle + Area of ΔKIT

This gives

Material = 30 + 17

Material = 47

This is approximately 48

Hence, 48 square inches of material is used for the entire kite

Read more about quadrilaterals at:

https://brainly.com/question/3183791

Answer:

The answer is 48 square inches or option C on EDG

Step-by-step explanation:

:)

Brainliest will be named if answer is correct

Answers

Answer: Choice D)

6 unit cubes and 18 smaller cubes of volume 1/27 cubic inches

=========================================================

Explanation:

Block A = unit cube that has side length of 1 inch

Block B = cube that has side length 1/3 inch

Block B has a volume of (1/3)*(1/3)*(1/3) = 1/27 cubic inches

If we have 180 of block B, then

180*(1/27) = 180/27 = 6.6667 approximately

The first 6 before the decimal point tells us we have 6 block A's. This is the same as saying that we have 6 cubic inches so far.

The 0.6667 at the end means we have 0.6667*27 = 18.0009 = 18 block B's

So we have 6 unit cubes (block A) and 18 smaller cubes (block B) that have a volume of 1/27 cubic inches

--------------

Another way to look at it

180/27 = (162+18)/27

180/27 = 162/27+18/27

180/27 = 6+18/27

180/27 = 6 remainder 18

The last line can also be found through using long division.

The 6 refers to 6 unit cubes and the remainder 18 is the left over 18 smaller blocks.

Please help me ASAP ...

Answers

Answer:

statements is 1,3,7,8 and reasons are 2, 4, 5, 6

Step-by-step explanation:

Answer:

<4 ~= <8 - Corresponding Angles Theorem

<2 ~= <8 - Alternate Exterior Angles Theorem

<2 ~= <4 - Vertical Angles Theorem

line I || line m - Transitive Property

Equivalent systems of two linear equations______
have the same solutions
A. always
B. sometimes
C. never

Answers

Answer:

B

Step-by-step explanation:

Its B i took the quiz and got it right so hope this helps u

Answer: A

I hope this helps you!

Isabella has found that she stays the fittest by running various distances and terrains throughout the week. On Mondays she runs 2.5 miles, on Tuesdays 4.6 miles, on Thursdays 6.75 miles, and on Saturdays 4.8 miles. What is the average distance Isabella runs on each of the days that she runs? Round to the nearest hundredth of a mile

Answers

Answer:

4.59miles

Step-by-step explanation:

Given that the total number of days she run is

monday, tuesday, thursday, saturday= 4

and the number of miles is

2.5,4.6,6.75,4.8

the total number of miles is

2.5+4.6+6.75+4.8=18.35 miles

the average is given as = total miles/number of days

average= 18.35/4

average= 4.587

to the nearesth hundreth

average= 4.59miles

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