Alan hikes 4.5 miles in 3 hours. Determine whether quantities (distance and time) vary directly or inversely and find the constant of variation.

Answers

Answer 1
v = x/t = 4.5 mil / 3 h = 1.5 mph
Since, v = 1.5 mph (or we can say that v is constant), distance and time vary directly and the constant of variation is 1.5 mph.

Related Questions

If there’s a negative before brackets you do the opposite terms right?

Answers

Answer:Yes


Step-by-step explanation:

When the negative is on the outside of the bracket you distribute the negative to each term inside the parentheses.

Answer:

yes you would change the signs that are inside the parenthesis

Step-by-step explanation:

you do so because the negative outside the parenthesis mean you are distributing the negative to the terms.

Consider the steps to simplify the expression. Which property is used to reach Step 3?



Expression: -4

3

7

+ 7 + (-3

4

7

)


Step 1: = -4

3

7

+ (-3

4

7

) + 7

Step 2: = -4 + (-

3

7

) + (-3) + (-

4

7

) + 7

Step 3: = -4 + (-

3

7

) + (-

4

7

) + (-3) + 7

Step 4: = -4 + (-1) + (-3) + 7

Step 5: = -8 + 7

Step 6: = -1

A) The associate property of addition.

B) The commutative property of addition.

C) The opposite of a sum is the sum of its opposites.

D) Subtracting a number is the same as adding its inverse.

Answers

NOTE: I ACCIDENTALLY clicked one star. That DOES NOT count as a real rating, and this DOES NOT mean my answer is bad!

Answer:

Commutative Property of Addition

Step-by-step explanation:

Step 2: -4 + (-37) + (-3) + (-47) + 7

Step 3: -4 + (-37) + (-47) + (-3) + 7

Because the order was changed, it is the Commutative Property.

The perimeter of a rectangle is 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle.

Answers

Answer:

The length for a rectangle with a perimeter of 34 units and a width of 6.5 units would be 10.5 units.

Step-by-step explanation:

To find the length, you can use the equation [34 - (6.5 x 2) ÷ 2 = the length]. So, 6.5 x 2 = 13, then 34 - 13 = 21, finally, 21 ÷ 2 = 10.5 . So the length of the rectangle is 10.5 . To double check, (6.5 x 2) + (10.5 x 2) (=) 34. So this answer is correct.

If you roll 2 dice, what is the probability that the sum is 9?

thanks :) will give brainliest!

Answers

Answer:

0.1111%

Step-by-step explanation:

2 dice, each with 6 sides. 36 possible outcomes.

Possible sums for 9 are 1,8 2,7 3,6 4,5

That means there is only 4 possible ways to get 9 out of 36 possible outcomes. 4/36 is your probability

which property is used to simplify the expression 5+(6+-6)=5+0

additive inverse property

additive identity property

associative property of addition

commutative property of addition

Answers

Answer:

additive inverse property

Step-by-step explanation:

which property is used to simplify the expression 5+(6+-6)=5+0

additive inverse property

x+-x = 0

additive identity property

0+8=8

associative property of addition  

a+(b+c) = (a+b)+c

commutative property of addition

a+b=b+a

Answer: additive inverse property

Step-by-step explanation: i looked it up lol

Jack's pancakes recipe calls for 2 teaspoons baking powder and 3 cups of flour. How how much baking powder is needed if Jack uses 9 cups of flour

Answers

Answer:

6

Step-by-step explanation:

Jack would need 6 teaspoons of baking powder for 9 cups of flour to maintain the ratio given in the original recipe.

To determine how much baking powder is needed if Jack uses 9 cups of flour instead of 3, you can set up a proportional relationship because the quantity of baking powder required is directly proportional to the amount of flour used.

If the original recipe calls for 2 teaspoons of baking powder for every 3 cups of flour, for 9 cups of flour (which is 3 times as much), you would need 3 times as much baking powder. Hence, the calculation would be as follows:

2 teaspoons baking powder / 3 cups flour = x teaspoons baking powder / 9 cups flour

By cross-multiplication, we can find the value of x:

2/3 * 9 = x

x = 2 * 3 = 6 teaspoons of baking powder

Therefore, Jack would need 6 teaspoons of baking powder for 9 cups of flour to maintain the ratio given in the original recipe.

I do not get this. Evaluate.
Simplify your answer as much as possible.
3!6!/5!2!

Answers

Answer:

18

Step-by-step explanation:

[tex]\frac{3!6!}{5!2!}[/tex]

n! = n * (n-1)!

For example 7!  can be written as 7 * 6!

3! is 3* 2!

6! is 6 * 5!

[tex]\frac{3!6!}{5!2!}[/tex]

[tex]\frac{3*2!6*5!}{5!2!}[/tex]

Cancel out 5!  from the top and bottom . Also cancel out 2! from top and bottom.

[tex]\frac{3*2!6*5!}{5!2!}[/tex]

3*6= 18



6a. Suppose you need to find a box that you can fit your cube-shaped gift into. You know that you will need to find a box that is 4 inches longer than the cube’s length, 3 inches wider than the cube’s width, and 7 inches taller than the cube’s height. Create a polynomial that represents the gift box’s volume in terms of the cube’s length/width/height, in factored and standard form

Answers

Answer:

( l + 4) * ( w + 3 ) * ( h + 7)

let l represent the length, w represent the width, and h represent the height of your cub-shaped gift.

Though, if your gift is in the shape of a cube, that would mean all the sides are the same length.

( 2 + 4 ) * ( 2 + 3 ) * ( 2 + 7 )

6 * 5 * 9 = 270

(I haven't done geometry in awhile though, so this may be incorrect unless it actually makes sense.)

Answer:

V = (x+ 4)(x + 3)(x + 7); V = x³ + 14x² + 61x + 84

Step-by-step explanation:

Let x = the side of the cube

Then the dimensions of the gift box are

l   = x + 4

w = x + 3

h = x+ 7

V = lwh

V = (x+ 4)(x + 3)(x + 7)     Multiply the first two terms

V = (x² + 7x + 12)(x+ 7)     Remove parentheses

V = x³ + 14x² + 61x + 84

what is the midpoint between -9 and 15 on the number line? A. 3
B. 12
C. 6
D. 2

Answers

Answer:

A. 3

Step-by-step explanation:

To find the midpoint  between two numbers, we add the two numbers and divide by 2

midpoint = (x1+x2)/2

midpoint = (-9+15)/2

midpoint = (6)/2

midpoint =3

The length of a rectangular garden is represented by 3x-4 and the width is represented by 2x-5. Which of the following represents the total area of the garden

Answers


Both of them.

(3x-4) × (2x-5)
6x^2-15x-8x-20
6x^2 - 23x - 20 = area

The options are

a.) 5x - 9

b.) 6x + 20

c.) 6x²- 23x + 20

d.) 6x²-14x - 9

Answer:

c.) 6x²- 23x + 20

Step-by-step explanation:

Rectangle area can be computed as length × width . The garden is a rectangle so the area can be computed by multiplying the length and the width.

Area= L × W

Length = 3x - 4

width = 2x - 5

Area = (3x - 4)(2x - 5)

Area = 3x(2x) + 3x(-5) -4(2x) -4(-5)

Note : - × - = +

Area = 6x² -15x - 8x + 20

Area = 6x² - 23x + 20

Can I please get someone who is good at Geometry to help me? PLEASE AND THANK YOU!!!! (You just have to do problem A. Thanks again)

Answers

Answer:

x=6

Step-by-step explanation:

We can find < PMN by using the law of triangles.

The sum of the angles of a triangle adds to 180

<M + <N + < PMN = 180

32 + 64+ < PMN = 180

96 + < PMN = 180

Subtract 96 from each side

96 -96 < PMN = 180-96

< PMN =84


<PMN + <NPQ forms a straight line so it equals 180

<PMN + <NPQ=180

84 + <NPQ=180

Subtract 84 from each side

84-84 + <NPQ=180-84

<NPQ=96

<NPQ = 6x

96 = 6x

Divide each side by 6

96/6 = 6x/6

16 =x

Wells college Aurora New York Was previously an all girls college.In 2005 the college began to allow boys to enroll.By 2012 The ratio of boys to girls was 3 to 7. If there were 200 more girls than boys in 2012 how many boys in enrolled that year

Answers

Answer:

150

Step-by-step explanation:

The ratio of boys to girls is 3 to 7.

We don't know the number of boys or girls. The number of boys and the number of girls are multiples of 3 and 7, respectively. Since they are in the ratio of 3 to 7, then by multiplying both 3 and 7 by the same number, you will get the number of boys and the number of girls. We need to find that number. Call that number x.

The ratio of boys to girls is:

3x to 7x

There are 3x boys and 7x girls.

The number of girls is 200 more than the number of boys.

7x = 3x + 200

Subtract 3x from both sides.

4x = 200

Divide both sides by 4.

x = 50

The number of boys is 3x, so

3x = 3(50) = 150

150 boys and 350 girls were enrolled that year.

Since a college was previously an all girls college, and then it began to allow boys to enroll, and by 2012 the ratio of boys to girls was 3 to 7, to determine, if there were 200 more girls than boys in 2012, how many boys were enrolled that year, the following cross multiplication calculation must be performed:

7 - 3 = 200 3 = X 4 = 200 3 = X 3 x 200/4 = X 600/4 = X 150 = X 150/3 = 50 (150 + 200) / 3 = 50

Therefore, 150 boys and 350 girls were enrolled that year.

Learn more in https://brainly.com/question/13904768

Find the slip of the line that passes through each pair of point (-6,1), (4,8).

Answers

X1 = -6

Y1= 1


X2= 4

Y2 = 8



8 - 1

____

4 + 6


7

_ is your answer

10



Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply. (x + 1) (2x + 1) (x + 2) (5x + 1) (5x – 2) Mark this and return Save and Exit

Answers

Answer:

(5x-2) and (x+2)

Step-by-step explanation:


Answer:

the factors are (5x-2)  and (x+2)

Step-by-step explanation:

5x^2 + 8x – 4

first we multiply 5  and -4= -20

product is -20  and sum is +8

find out two factors whose product is -20 and add upto +8

10 * (-2) = 20

10 +(-2)= 8

5x^2 +10x-2x – 4

group the terms and factor out GCF

(5x^2 +10x)+(-2x – 4)

5(x+2) -2(x+2)

(5x-2)(x+2)

the factors are (5x-2)  and (x+2)

Marshall Earns a salary of 36,000, and each year he receives a $4,000 raise. Jim earns a salary of $51,000, and each year he receives a $1,500 raise. How many years will it take before Marshall and Jim earn the same salary

Answers

Answer:

It will take 6 years

Step-by-step explanation:

Marshall starts at 36,000 dollars and Jim starts at 51,000, multiply the pay raises by 6 and for Jim you get $9,000 and Marshall gets $24,000 pay raise in 6 years.



Sorry If It Is a bit confusing, I'm not really good with words. :/

Both of them will get the same salary after 6 year.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Marshall Earns a salary of $36,000, and each year he receives a $4,000 raise. Jim earns a salary of $51,000, and each year he receives a $1,500 raise.

Let x be the year in which they will get the same salary

Establishing the equation, we get

36000+4000x = 51000+1500x

Simplifying the equation,

36+4x = 51+1.5x

2.5x = 15

x = 6

Hence, Both of them will get the same salary after 6 year.

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2

Question 3(Multiple Choice Worth 5 points) (06.08A) Simplify negative 15.5 divided by 5 .. −3.1 3.1 −3.3 3.3

Answers

A negative divided by a positive gives a negative result

So the answer is -3.1

Hope this helps!

Answer: -3.1

this was correct on my test, hope it helps! ;)

(Brainliest would help a lot btw)

Dai has 3 meters of fabric that he wants to cut into 5 equal sized pieces. what is true about the length of each piece of fabric. I need the answer as a fraction.

Answers

3/5=.6
.6=6/10
6/10=3/5

Answer:

The length of each piece of fabric is [tex]L=\frac{3}{5}[/tex]

Step-by-step explanation:

Given : Dai has 3 meters of fabric that he wants to cut into 5 equal sized pieces.

To find : What is true about the length of each piece of fabric ?

Solution :

Dai has 3 meters of fabric.

He cuts the fabric into 5 equal sized pieces.

So, The length of each piece is defined as

[tex]L=\frac{3}{5}[/tex]

Therefore, The length of each piece of fabric is [tex]L=\frac{3}{5}[/tex]

In a triangle the sides has 82 degrees ,2x+10 degrees and x degrees what is x

Answers

Answer:

x = 29 1/3 degrees

Step-by-step explanation:

A triangle has 3 angle that total 180 degrees.

The three angles given are 82 degrees ,2x+10 degrees and x degrees.

So,  

82+ (2x+10) + x = 180

Combine like terms.

92 + 3x = 180

Subtract 92 from each side

3x = 180 -92

3x = 88

divide each side by 3

3x/3 = 88/3

Change 88/ 3 to a mixed number

3 goes in to 88 29 times  with 1 left over.

x = 29 1/3 degrees


In trapezoid ABCD AC is a diagonal and ∠ABC ≅ ∠ACD. Find AC if the lengths of the bases BC and AD are 14m and 28m respectively.

Answers

Answer:

[tex]AC=14\sqrt{2}m[/tex]

Step-by-step explanation:

we are given trapezoid ABCD

AC is a diagonal

∠ABC ≅ ∠ACD

we know that

BC and AD are parallel

so, <DAC = <ACB

so, ΔABC ≅ΔACD

Since, both triangles are similar

so, their ratios must be equal

we get

[tex]\frac{BC}{AC} =\frac{AC}{AD}[/tex]

now, we can plug values

[tex]\frac{14}{AC} =\frac{AC}{28}[/tex]

[tex]AC^2=14\times 28[/tex]

[tex]AC^2=14^2\times 2[/tex]

[tex]AC=14\sqrt{2}m[/tex]


Final answer:

To find the length of AC, the diagonal in trapezoid ABCD, we can use the fact that ∠ABC ≅ ∠ACD and the lengths of the bases BC and AD. By setting up a proportion using the corresponding sides of the similar triangles ABC and ACD, we can find that AB/AC = 1/2. Multiplying the length of AB by 2 gives us AC = 28m.

Explanation:

Given that ∠ABC ≅ ∠ACD and the lengths of the bases BC and AD are 14m and 28m respectively, we can find the length of AC, which is a diagonal in trapezoid ABCD.

Because the two angles are congruent, triangle ABC is similar to triangle ACD. This means their corresponding sides are proportional.We can set up a proportion using the corresponding sides of the triangles:

BC/AD = AB/ACSubstituting the values, we get 14/28 = AB/AC. Simplifying this equation gives us AB/AC = 1/2.Since the lengths of AB and AC have a ratio of 1/2, we can determine AC by multiplying the length of AB by 2.Therefore, AC = 2 * AB = 2 * 14 = 28m.

What Is the Slope And Y Intercept Of This Line?

Y = X -5

Answers

Answer:

slope = 1 , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = x - 5 is in this form

with slope m = 1 and y- intercept c = - 5


Use the diagram to answer the question

Line m is parallel to line p. M angle HEF IS 39 degrees. And m IGF is 13 degrees. Find the m EFG. Explain in detail how you know you are correct. I WILL MARK THE BRAINLIEST

Answers

Answer:

[tex]m\angle EFG=52^{o}[/tex]

Step-by-step explanation:

We have been given that line m is parallel to line p, [tex]m\angle HEF=39^{o}[/tex] and [tex]m\angle IGF=13^{o}[/tex].

Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.

We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.

We can see that angle IGF and angle EJG are opposite interior angles of angle EFG.

[tex]m\angle EFG=m\angle IGF+m\angle EJG[/tex]

Upon substituting our given values we will get,

[tex]m\angle EFG=13^{o}+39^{o}[/tex]

[tex]m\angle EFG=52^{o}[/tex]

Therefore, measure of angle EFG is 52 degrees.

Aria walked down a trail into a valley. V(d) models Aria's vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail. What does the statement V(3)<3 mean?

Answers

Answer:

When Aria had walked 3km along the trail, her vertical distance from the top of the valley was less than 3 km

Step-by-step explanation:

Remember that V(d) denotes Aria's vertical distance from the top of the valley V after she has walked d kilometers along the trail.

This means that V(3) is Aria's vertical distance from the top of the valley after she has walked 3km.

Therefore, V(3)<3 means that Aria's vertical distance from the top of the valley after she has walked 3km, is less than 3km

In other words, the statement means that when Aria had walked 3km along the trail, her vertical distance from the top of the valley was less than 3km

V(3) < 3 means Aria's vertical distance from the top of the valley is less than 3 kilometers after walking 3 kilometers along the trail. It shows her descent into the valley is not more than 3 kilometers vertically at that point.

The inequality V(3) < 3 means that after Aria has walked 3 kilometers along the trail, her vertical distance from the top of the valley is less than 3 kilometers. In other words, Aria has descended into the valley, but her descent after 3 kilometers along the trail is not greater than 3 kilometers vertically. This provides a way to understand her position relative to the top of the valley based on the distance she has walked.

the ratio of 6th graders to 7th graders at a basketball game is 4:1. if there are eight 6th 7th graders how many 6th graders are there

Answers

if there are 8 7th graders there are 32 6th graders. 4*8=32

Answer:

if there are 8 7th graders there are 32 6th graders. 4*8=32

Step-by-step explanation:

Ashley is the utilities manager at a paper mill. She's watching over one of her holding tanks. It takes of an hour to fill the tank. At this rate, how many holding tanks will she fill in 1 hour?

Answers

if it takes an hour to fill 1 tank in 1 hour 1 tank will be full

Answer: 5/8

Step-by-step explanation:

which is greater .513 or .5129

Answers

Answer:

.513 is larger

Step-by-step explanation:

1st method is the thousandths place larger or smaller

.1 tenths

.01 hundredths

.001 thousandths

In this case the thousandths is larger for .513

2nd method

subtract the two number

.513 - .5129 = .0001

Since the number recieved is positive this means .513 is larger

solve this please PLZ PLZ PLZ ITS REALLY EASY!!!

Answers

Answer: 169.56

Step-by-step explanation:

A = r²θ

r = 6θ = 270° = [tex]\frac{3\pi}{2}[/tex]

A = (6)²[tex](\frac{3\pi}{2})[/tex]

   = 36[tex](\frac{3\pi}{2})[/tex]

   = 18(3π)

   = 54π

   ≈ 169.56

A kite, flying 50 feet high in the air is attached by a string to a stake in the sand. How long is the string to the nearest tenth of a foot? A) 50.0 feet B) 70.7 feet C) 77.9 feet D) 88.6 feet

Answers

we need more information...

we need at least 2 values to find the length. (3 if it's not a right triangle)

do we know the angle? the horizontal distance? what other information is given?

Answer:

Hello, the answer tho this question is C.) 70.7 feet.

Answers for m1 m2 m3

Answers

Answer:

<1 = 30

<2= 41

<3 = 96

Step-by-step explanation:

 Angle 1  ,66 and 84 form a triangle and triangles add to 180 degrees

<1 + 66 + 84 = 180

Combine like terms

<1 +150 = 180

Subtract 150 from each side

<1 + 150 -150 = 180-150

<1 = 30


Angle 3 and 84 form a straight line.  A straight line is 180 degrees.

<3 + 84  =180

Subtract 84 from each side

<3 +84-84 = 180 - 84

<3 = 96



<2 , <3 and 43 form a triangle which adds to 180 degrees,

<2 + <3 + 43 = 180

We have already found <3 to equal 96 degrees

<2 + 96+43 = 180

Combine like terms

<2 +139=180

Subtract 139 from each side.

<2 +130-139 = 180-139

<2 = 41

Plz I need by tonight

Answers

Answer: Yes


Step-by-step explanation: 4x5 is 20 + 2 is 22 then when you multiply that by 9 you get 198

36x5 is 180 + 18 is 198

Both answers equal each other


20 Points!! Will give Brainliest!!! Need Help ASAP!!! PLzz!!

Ray knows that the m<3 = m<6.

Which of the following conclusions can Ray make based on the given information?
A. Lines l and m are parallel because alternate interior angles are equal.
B. Lines l and m are parallel because alternate exterior angles are equal.
C. Lines l and m are parallel because corresponding angles are equal.
D. No conclusion can be made about the lines.

Answers

Answer:

The answer is B

Step-by-step explanation:

3 and 6 are alternate exterior angles which make lines l and m parallel.

Answer: c

Step-by-step explanation:

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