Meg and Kevin wanted to solve this problem: In 6 hours, Hank the Hiker hiked 24 miles. At that rate, how far can he hike in 9 hours? Meg claimed she could solve the problem by finding Hank’s unit rate of speed in miles per hour. She began by writing the equation: . Explain whether or not she can find the unit rate this way. Then find the unit rate and use it to solve the problem. Show all your work.

Answers

Answer 1

Answer: Hank hike 36 miles in 9 h.

6 hours for 24 miles

9 hours for x miles

[tex]Hank_{rate} =24/6=4\;mi/h[/tex]

[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]


Related Questions

Find the missing angles in the figure below.

Answers

Answer: The answer is A. Just check the only answer with y=z.

Answer:

First option is right.

Step-by-step explanation:

w=78 (vertically opposite angles)

l=82 (vertically opposite angles)

M= 180-64=116 (linear pair)

sorry im not sure how to find y and z

Which answer is correct ?

Answers

Answer:

C the table and the equation

Hope this helps :)

From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units. *
It’s not 17 or 1.8 I have tried and those are wrong

Answers

Answer: 122 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of depression, the opposite side is the height of the window above the ground, and the adjacent side (x) is the distance between the neighbor's fence and the house.

Replacing with the values given:  

Tan 7 = 15/x

x = 15/tan 7

x = 122 ft

Feel free to ask for more if needed or if you did not understand something.  

Please help me with 3 more questions ill give good ratings please!

Answers

Answer:

(- 5, - 25 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )

Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8?
A)y = (1/2)x - 4
B)y = (-1/2)x - 4
C)y = -x - 4
D)y = -2x - 8
E)y = 2x - 8

Answers

Answer:

ahhhh is it a

Step-by-step explanation:

Equation is equivalent to the standard form equation -x + 2y = -8 is option A.

What is a linear equation?

A linear equation has one or two variables.

No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.

explanation:

-x + 2y = -8

= 2y = -8 + x

y = -8/2 + 1/2x

y = -4 +1/2x

solving this we will get the valve of Y if x is given.

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Simplify the radical expression.
- V8n•2 12

Answers

The answer is in the photo below

The value of the radical expression is A = -3n√12

What is an 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.

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.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = -√8n² ( 12 )

On simplifying , we get

A = -√108n²

Taking the value of n outside , we get

A = -n√108

On further simplification , we get

A = -n3√12

A = -3n√12

Hence , the value of the expression after simplification is A = -3n√12

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Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4 (x minus 8) minus 2 x Which explains whether Trina is correct? A. Trina is correct because the two sides of the equation are equivalent. B. Trina is correct because the two sides of the equation are not equivalent. C. Trina is not correct because the two sides of the equation are equivalent. D. Trina is not correct because the two sides of the equation are not equivalent.

Answers

Answer

The answer is C. Trina is not correct because the two sides of the equation are equivalent.

Step-by-step explanation:

1.  solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

Hope This Helps :p

C. Trina is not correct because the two sides of the equation are equivalent

I just took the quiz on edge

HELP PLEASE!!! What is the best description of the transformation shown?

Answers

Answer:

reflection over the x-axis

Answer:

Reflection over the x axis

Step-by-step explanation:

The image is a mirror image across the x axis.  Think of it as folded across the x axis.  It looks identical

Evaluate 4 ÷ 5/6 Give your answer as a mixed number in its simplest form.

Answers

Answer:

4 ÷ 5/6

= 4 × 6/5

= 24/5

= 4 4/5

Hope this helps.

The radius of a circle is 7m. Find the circumference to the nearest tenth(urgent)

Answers

Answer:

The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.

Step-by-step explanation:

First, we must know the formula for finding the circumference of a circle.

[tex]Circumference = d\pi[/tex]

We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.

7 * 2 = 14

Now, let's plug in 14 into our formula. We will 3.14 for pi.

[tex]Circumference=(14)\pi[/tex]

[tex]Circumference=43.96[/tex]

This number rounded to the nearest tenth is 44.

Answer:

Answer is 44 m

Answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?​

Answers

Answer: 40

Align in this pattern:

Bigger box : 24 : 15 : 10

smaller box: 6 : 3 : 5

counts: 4: 5 : 2

( multiply 4*5*2 = 40)

simplify 2[3-5(2+1)2+5]
the last 2 is 2nd

Answers

Answer:

uydfg

Step-by-step explanation:

hkbchjsbchvuhc

Answer:

-44 im pretty sure

What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

Answers

Answer:

(x - 2)^2 + (y + 1)^2 =  26

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²

x + y = 2
y=-3x2 + 3

Answers

Answer:

x, y = -3/2, -3/2

Step-by-step explanation:

photo math will be your best friend

Answer: y = 2/3 x -2/3

Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? –5 –3 3 4

Answers

Answer:

-5

Step-by-step explanation:

For a quadratic equation to have two real number solutions, the discriminant must be positive. The discriminant of a quadratic equation is:

[tex]b^2-4ac[/tex]

This means that b^2 must be larger than 4ac. Since in this case 4ac is 4(1)(5)=20, b must be -5 out of the answer choices given. Hope this helps!

Answer:

A. -5

Step-by-step explanation:

whar does it mean that one object has more density than the other object.
pls i need this it is due in not long i put 31 pts for who answers pls.​

Answers

Density is determined by an object's mass and volume. If two objects take up the same volume, but have one has more mass, then it also has a higher density. ... It is about how heavy something is compared to the same amount (volume)

how many different measurements are found in this diagram ¿

Answers

There are 8 different measurements.
Just to make sure of things there are 8 labeled angles but there are different ones for example 7 and 3 are equal.

Which means that there are 2 different angle measurements 1,4,7 and 8 are equal then 2,3,5 and 6 are also equal


Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135

Answers

Answer:

Please mark be brainliest and I hoped this helped!

x = 45°

Step-by-step explanation:

Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.

Answer:

Step-by-step explanation:

j

Please answer need help

Answers

Answer:

-9,5 -> -9,1 -> -8,9 -> 8,7

Find the volume. :D (MARKING BRAINLIEST)

Answers

Answer:

720 cubic units

Step-by-step explanation:

Answer:

360 cubic units

Step-by-step explanation:

volume of prism = area of base * height of prism

The base is a triangle with base = 6 ad height = 8

area of triangle = bh/2

V = bh/2 * height of prism

V = 6 * 8/2 * 15

V = 360 cubic units

Raj paid $5.04 for 6 cookies. Heath paid $4.00 for 5 cookies. Which of the following statements is true?

Raj paid less per cookie.

Heath paid less per cookie.

Raj and Heath paid the same per cookie.

Answers

Answer: Raj paid less per cookie

Step-by-step explanation:                    

Answer:

Heath paid 4 cents less then raj did per cookie so it would be the second one.

Step-by-step explanation:

HELP EASY PHYSICS QUESTION URGENT :))
A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally. What is the horizontal distance the ball travels before returning to the ground?

a.15.5 m

b.17.5 m

c.19.5 m

d.21.5 m

Answers

Answer:

The horizontal distance the ball travels before returning to the ground is 19.5 m

Step-by-step explanation:

Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]

Where u is the initial velocity

g is gravity

We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.

So, u = 15 m/s

[tex]\theta = 30^{\circ}[/tex]

g = 10

So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]

Hence The horizontal distance the ball travels before returning to the ground is 19.5 m

Find the value of x in each case. Give reasons to justify your solutions!

Q ∈ PR

Answers

Answer:

x = 52 Degrees

Step-by-step explanation:

Welp, here I go again

According to the Exterior Angle theorem Angle R + Angle S = Angle PQS

So simplified that'd be (90 + 34) = x + 72

124 = x + 72

x = 124 - 72

x = 52 Degrees


AABC is translated 6 units up and 3 units left to create
AA'B'C'. If vertex A is located at (-1, 2), what are the
coordinates of A'?
(5-1)
(-4, 8)
(2, -4)
(-7, -1)

Answers

Answer:

-4,8

Step-by-step explanation:

If vertex A is located at (-1, 2) then the coordinates of A' is

What is Translation?

A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. One illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape. Every point in the shape is moved in the same direction and by the same amount.

We have,

The triangle is translated 6 units up and 3 units left.

If vertex A is located at (-1, 2).

To Translate 6 units up we have to add 6 to the y coordinate.

and, to translate 3 units left we have to subtract 3 from the x coordinates.

So, the coordinates after translation is

A (-1,2)  -->  A' (-4,8)

B (1,5)  -->  B' (-2,11)

Learn more about Translation here:

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Pls help me it’s emergency

Answers

2x + 2x +x = 5x
100% divided by 5x = 20%
x = 20%

A) 20%
B) blue

It’s blue because 2x is more than x giving it a higher probability

6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve
an equation to find the number of seats that need to be added to the theater to accommodate all the people.

Answers

Answer:

The number of seats needed is:

1889

Step-by-step explanation:

To identify the number of seats you need add in the theater to accommodate all the people, you can write a simple equation where you subtract from all people need to be seated (15,340), the seats already there are (13,451), how I show below:  

NS = x - y

Where:

NS = Number of seats that need to be added. x = People need to be seated in the theater. y = The seats there.

Replacing the equation with the values:

NS = 15,340 - 13,451 NS = 1,889

PLEASE HELP! ITS DUE TODAY! PLEASEEEE

Answers

Answer:

if i'm not mistaken its variation

pretty sure it's the variation

Is there a way to find figure out a function with just the X & Y intercepts. I know there are convertors to find the X & Y intercepts using a function that you'd already have, but I need to do the opposite.

Basically I need to find a function based off Inputs & Outputs. (If that makes sense).

Answers

Answer:

Step-by-step explanation:

yes, since that are 2 points:

y-int is (0, y)

x-int is (x, 0)

since you need only two points for a function with no restrictions, we can use y and x intercepts as points

Which equation represents the graphed function?
HELP ASAP

Answers

It is the first option

Answer:

The answer is A.

Step-by-step explanation:

Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.

using soh cah toa find length of WX and round to the nearest tenth of a foot?

Answers

Answer:

The length WX is about 14 feet.

Step-by-step explanation:

This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]

Therefore, the length WX is about 14 feet.

The answer is 14 feet listen to the guy above me
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Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandras money box and the number of months (x):Number of Months Amount Remaining (in $)(x) (y)1 502 453 404 35The equation (function 2) shows the relationship between the amount of money, y, remaining in Jennys money box and the number of months, x:Function 2y = 6x + 50Which statement explains which function shows a greater rate of change?Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends $6 each month. 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