Find the height of the tree if the tree's shadow is 13 feet and the stick person's height is 5.2 feet, and the stick person's shadow is 4 feet.?

Answers

Answer 1

Answer: 16.9 feet.

Step-by-step explanation:

The person's shadow is 1.3 times its shadow, which was found by dividing 5.2 by 4. Once we have the proportion, we can multiply the tree's shadow by 1.3 and get 16.9 feet.


Related Questions

is n divided by -1 always equal to -1

Answers

Answer is NO false statement

if n = a negative number is divided by a negative number the answer is positive.

So if (n) is -4 / -1 = 4

Two negatives = positive for multiplication and division

Answer:

Yes

Step-by-step explanation:

Any number divided by 1 equals itself. This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is.

Hope this helps you

Tell me if I'm wrong

The population of bobcats in northern Arizona since 2008 can be modeled using the function b(t) = –0.32t2 + 2.7t + 253
What does t represent?: the number of years since 2008
What is the domain for this function?:t values greater than or equal to 0
Which range values would not make sense for this function?:negative values
Would the graph be continuous or discrete, and why?:discrete, because number of bobcats cannot be broken into fractional parts (these are the answers to function notation EDGE 2022 algebra1)

Answers

A polynomial function is a function that only employs non-negative integer powers or only positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, etc. For instance, the exponent of the polynomial 2x+5 is 1.

Explain about the polynomial function?

 A polynomial equation in standard form before attempting to solve it. Factor it, then set each variable factor to zero after it has reached zero. The original equations' answers are the solutions to the derived equations. Factoring cannot always be used to solve polynomial equations.

The variable t in the formula b(t) stands for the number of years following 2008. This function's range of application is. More over 258.7 wouldn't make sense as a range. The function's graph is continuously drawn at all times.

Explanation:

Since 2008, the provided function b(t) displays the bobcat population in Northern Arizona. The number of years following 2008 is therefore represented by the variable t.

The domain of this function is because t stands for the number of years after 2008, which can be either positive or zero.(0,∞)

Provided that the given function is a quadratic function with a negative coefficient, it is a descending parabola. There is no meaning in the range above the vertex's y-coordinate.

Vertex function is (4.2,258.7)

This is polynomial function so the graph of the function always continuous

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how do i find the markup price and retail price

Answers

Price = 72.87

The markup is 30% or 30/100 = 0.3

Let's find the markup of the price:

[tex]72.87\cdot0.3=21.861[/tex]

The retail price, or selling price, is the price + markup.

Thus, retail price is:

[tex]72.87+21.861=94.731[/tex]

Answers:

Markup = $21.86Retail Price = $94.73

The lines given by the equations y= 2x and y=-3x areA. neither perpendicularnorparallelB. parallelC. perpendicular

Answers

Consider that the general form of a line can be written as follow:

y = mx + b

where m is the slope and b the y-intercept.

Take into account that if two lines are parallel, then, the slopes of the line are equal. Based on the given equations, you can notice that the slopes are different, m1 = 2 and m2= -3.

Two lines are perpendicular if:

m1 = -1/m2

you can notice, based on the given equations that m1 is not equal to -1/m2, that is, 2 ≠ -1/(-3).

Hence, the lines are neither perpendicular nor parallel

6. Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y = 2.Ok = 1, y = 1xk = 4, y = 4x4= 4, y = 2 / 24= 1, y = 1/2

Answers

ANSWER:

k = 4, y = 4/x

STEP-BY-STEP EXPLANATION:

Since they are inverses they have the following form the equation

[tex]y=k\cdot\frac{1}{x}[/tex]

now, x = 2 and y = 2, therefore, replacing and solving for k:

[tex]\begin{gathered} 2=k\cdot\frac{1}{2} \\ k=2\cdot2 \\ k=4 \end{gathered}[/tex]

We replace and we would have the equation

[tex]\begin{gathered} y=4\cdot\frac{1}{x} \\ y=\frac{4}{x} \end{gathered}[/tex]

Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2 square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

Answers

Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2 square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?

Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

we have that

total area=76 1/2 m2

Convert to an improper fraction

76 1/2=76+1/2=153/2 m2

1-(2/3)=1/3

Multiply the total area by 1/3

(153/2)*(1/3)=51/2=25.5 m2 ------> 25 1/2 m2

the answer is 25 1/2 m2

8) y= V1-5 A) Domain: x 20 Range: y 2-5 B) Domain: x > 0 Range: y'z 5 C) Domain: {All real numbers. } Range: {All real numbers. } D) Domain: x 25 Range: y 20

Answers

[tex]y=\sqrt[]{x}-5[/tex]

Domain:

we know that a root cannot have negative values ​​inside so

[tex]\begin{gathered} \sqrt[]{x}\ge0 \\ x\ge0^2^{} \\ x\ge0 \end{gathered}[/tex]

the domain is X >= 0

Range:

we solve the equation for y

[tex]\begin{gathered} y=\sqrt[]{x}-5 \\ y+5=\sqrt[]{x} \\ (y+5)^2=x \end{gathered}[/tex]

and we replace the condition that x must be greater than or equal to 0

so

[tex](y+5)^2\ge0[/tex]

now solve y

[tex]\begin{gathered} y+5\ge0^2 \\ y+5\ge0 \\ y\ge-5 \end{gathered}[/tex]

so the range is Y >= -5

then the right option is A

Need help asap extra points

Answers

The equation of line is y = 8/5x-26/5.

What is a line equation?

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

Equation 8x-5y=4 is given.

-5y = 4-8x

y = 8/5x-4/5 and we are aware that the line's equation is y = mx+b

m = 8/5

Nowadays, coordinates are (2,-2)

Y=-2, X=2, and m=8/5

y = mx+c

-2 = 8/5(2)+c

c = -26/5

Consequently, the line's equation is

y = 8/5x-26/5

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Find the expected value of the winningsfrom a game that has the followingpayout probability distribution:Payout ($) 246810Probability 0.35 0.2 0.1 0.2 0.15Expected Value = [?]

Answers

The formula for the expected value from an event is given as;

[tex]\text{Expected value=}\sum ^{}_{}xPr(x)[/tex]

From the table given, we can obtain the expected value of winning as;

[tex]\text{Expected value=}2(0.35)+4(0.2)+6(0.1)+8(0.2)+10(0.15)=5.2[/tex]

Therefore, the expected value of winning is $5.2

MATH PROBLEM HELP please make sure it correct

Answers

For the value of c = 0,c=1 then A is not invertible

For given matrix  A is invertible if  c≠ 0 and c≠ 1

[tex]Given \ $A=\left[\begin{array}{ll}1 & 1 \\ c & c^2\end{array}\right]$ \\A matrix $A$ is invertible if $|A|={det}(A) \neq 0$.\\Now consider $|A|={det}(A)=0$.[/tex]

[tex]$$\begin{aligned}&\Rightarrow\left|\begin{array}{ll}1 & 1 \\c & c^2\end{array}\right|=0 \\&\qquad \quad \text { If } A=\left[\begin{array}{ll}a & b \\c & d\end{array}\right] \text { then }|A|={det}(A)=a d-b c\end{aligned}$$[/tex][tex]$$\begin{aligned}&\Rightarrow c^2-c=0 \\&\Rightarrow c(c-1)=0 \\&\Rightarrow c=0, c=1\end{aligned}$If $c=0$ or $c=1$ then \A \is \\not \ invertible. \\$\therefore$ Given matrix $A$ is invertible iff $c \neq 0$ and $c \neq 1$. \\ie Given marix $A$ is invertible for $c \in \mathbb{R}-\{0,1\}$.[/tex]

What are matrix?

Matrix, a collection of numbers arranged in rows and columns forming a rectangular array. The number is called the elements or entries of the matrix. Matrices have wide applications in engineering, physics, economics and statistics, as well as in various areas of mathematics. Matrices also have important applications in computer graphics, where they have been used to represent image rotations and other transformations.

Different types of matrices are

row matrixcolumn matrixzero matrixsquare matrixdiagonal matrix upper triple matrixlower triple matrixsymmetric matrix asymmetric matrix.

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What is the volume, to the nearest tenth of a cubic inch, ofthe plastic object?

Answers

In order to calculate the volume of a cylinder, we can use the formula below:

[tex]V=\frac{\pi d^2h}{4}[/tex]

If the base diameter is 6 in and the height is 8 in, we have:

[tex]\begin{gathered} V=\frac{3.14\cdot6^2\cdot8}{4}\\ \\ V=226.2\text{ in^^b3} \end{gathered}[/tex]

Therefore the volume is 226.2 in³.

A cat with 850 J of energy is stuck in a tree that is 15 meters off the ground. What is the mass of th. cat?
O 56.7 kg
O 12,750 kg
O 5.78 kg
O 147 kg

Answers

147 kg ssjhdhdhdhdndhhd

The polynomial function f(x) is graphed below. Fill in the form below regarding the features of this graph.

Answers

Answer:

Step-by-step explanation:

degree 6 -- triple root, double root, single root

leading coefficient is negative -- it opens downward

3 distinct roots

3 relative extrema

The rate of growth dPdt of a population of bacteria is proportional to the square root of t with a constant coefficient of 9, where P is the population size and t is the time in days (0≤t≤10). The initial size of the population is 600. Approximate the population after 7 days. Round the answer to the nearest integer.

Answers

To solve this question we are going to need to define an equation with the data that the problem gives us

The first part (rate of growth) shows us a derivate, this is equal to 9 square root of t or:

[tex]\frac{dP(t)}{dt}=9\sqrt{t}[/tex]

where P is the population size and t is the time in days

Now we need the population after 7 days, so we need the P(t) formula, which means that we need the integration

First, we send the dt to the other side to have something to integrate

[tex]\int dP(t)=\int9\sqrt{t}dt[/tex]

Solving

[tex]\begin{gathered} P(t)=9(\frac{2}{3}t^{\frac{3}{2}})+C \\ \\ P(t)=6t^{\frac{3}{2}}+C \end{gathered}[/tex]

We know that P(0)=600 so

[tex]P(0)=600=C[/tex][tex]P(t)=6t^{\frac{3}{2}}+600[/tex]

Now we replace the t by 7

[tex]\begin{gathered} P(7)=6(7^{\frac{3}{2})}+600 \\ P(7)=711.121 \end{gathered}[/tex]

Answer: 711

suppose 84% of students chose to study spanish their junior year,. and that meant that there were 378 such students. How many students chose not to take spanish their junior year?

Answers

Let x be the total of students in their Junior Year.

So, 84% of x =378

84% = 0.84

0.84x=378 (divided by 0.84)

x= 450 students.

The ones that chose not to take spanish will be:

450-378=72

72 students chose not to take spanish in their junior year.

PLEASE HELP!!!
Solve the following word problem. The air temperature at 9 a.m. is −5.8 degrees Celsius. The air temperature at noon is −1.6 degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means

Answers

The equation to show the change in temperature between 9 a.m. and noon is given as d = x - y.

What is an equation?

An equation contains two mathematical expressions that state that they are equal or equivalent.

We use the equation mark (=) to show that two expressions possess equality.

Air temperature at 9 a.m., y  -5.8 degrees Celsius

Air temperature at noon, x = -1.6 degrees Celsius

Change in temperature, d = 4.2 degrees Celsius (-1.6 - -5.8)

The equation to show the change is d = x - y, where d is the change in temperature, x is the final temperature, and y is the initial temperature.

Thus, based on the equation, the temperature increased by 4.2 degrees Celsium from the earlier -5.8 degrees Celsius to result in a final temperature of -1.6 degrees Celsius at noon.

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Melinda ate 3/5 of the cookies and left the rest for Suzanne. What fraction of the cookies are left for Suzanne?​

Answers

The fraction of cookies left for Suzanne will be equal to 2/5 of the total number of cookies.

What is fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. Example -  5/9. Here, (5) is called numerator and (9) is called denominator.

Given is Melinda who ate 3/5 of the cookies and left the rest for Suzanne.

Assume that the fraction of cookies left for Suzanne is represented by [x].

Fraction of cookies ate by Melinda = [y] = 3/5

The sum of the fractions representing the cookies eaten by both Suzanne and Melinda will be equal to 1. Mathematically -

x + y = 1

x + 3/5 = 1

x = 1 - 3/5

x = (5 - 3)/5

x = 2/5

Therefore, the fraction of cookies left for Suzanne will be equal to 2/5 of the total number of cookies.

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While on vacation in Washington DC the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A. Write an equation to that can be used to determine B. What is the flat rate of the cab ride? C. How much does it cost to travel 7 miles in a cab?

Answers

The total distance from Washington DC to Dulles airport is 15 miles

The total cost of the cab ride is $25. 50

The cabbie charges $1.50 per mile for the entire trip

Let T be the total cost of the entire trip

Let x represents the number of miles traveled

Let y be the flat rate of the cab ride

Total cost = flat rate + charge per trip x number of miles covered

Mathematically,

T = y + 1.5 * x

T = y + 1.5x

Where, 1.5 is the charge per trip.

The equation becomes

T = y + 1.5x

B

To calculate the flat rate of the cab ride?

The total cost = $25.50

Charges per mile = $1.5

Total number of miles = 15

Substitute the above values into the equation

25.50 = y + 1.5 x 15

25.50 = y + 22.5

Make y the subject of the formula

y = 25.50 - 22.5

Y = $3

The flat rate of the cab ride is $3

C

How much does it cos

Compute the average rate of change of the function. Exercise A:

Answers

ANSWER

(a). Average Rate of Change = - 4

(b). Average Rate of Change =

[tex]12+6h+h^2^{}[/tex]

EXPLANATION

(a).

Step 1: Given

[tex]h(x)=5-2x^2\text{ at interval \lbrack-2, 4\rbrack}[/tex]

Step 2: Determine the Average Rate of Change

[tex]\text{Average rate of change = }\frac{h(b)\text{ - h(a)}}{b-a}[/tex]

1. It costs $5820 to get new windows for a certain house. Each of the 28 windows costs the same amount.
(a) Determine an estimate for the cost of each window. Justify your reasoning.
(b) What is the cost of each window, rounded to the nearest dollar? Show your work. Leave the remainder undivided.

Answers

Answer:

1) 6000/30=200

2)5820/28=207.9 (1dp)

Step-by-step explanation:

1/2 ▾
8-10. Answer each multiple choice question to indicate which reason
corresponds to each missing statement in the 2 column proof (3
points).
Proof Diagram
A
Statements
1.2125 Given
Reasons
2.24 21 a
3.24 25 b.
4.pr
8. Choose the correct reason:
a. Linear Pair Postulate
C
b. Angle Addition Postulate
c. Vertical Angles Postulate
1 Pt
B
O Search the web
Given: 21 25
Prove: pr
*
9. Choose the correct reason:
a. Symmetric Property
b. Reflexive Property
c. Transitive property
1 Pt
hn
A
B
r
E

Answers

1) ∠4 ≅∠1

Vertically opposite angle

2) ∠4 ≅∠5

Alternate angle

Define angles.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

An acute angle is one that is smaller than 90 degrees. Right Angle: An angle with a 90 degree exactness. More than 90 degrees but less than 180 degrees is referred to as an obtuse angle. A straight angle is one that has a 180 degree angle. An angle that is more than 180 degrees but less than 360 degrees is called a reflex angle.

Given Data

∠1 ≅∠5

1) ∠4 ≅∠1

Vertically opposite angle

2) ∠4 ≅∠5

Alternate angle

3) p ║r

When a transversal cuts two lines so that the accompanying angles are congruent, the lines are said to be parallel. When a transversal cuts two lines so that their opposing interior angles coincide, the lines are said to be parallel.

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Arrange the numbers 5^3, 6^2, and 2^7 in order from least to greatest.

Answers

5^3 = 5x5x5 = 125

6^2 = 6x6 = 36

2^7 = 2x2x2x2x2x2x2 = 128

From least to greatest

36 - 125- 128

6^2- 5^3 - 2^7

Kayla notices that she can buy snacksandcandy in bulk at the grocery store.Write a formula that helps Kayla determinehow much she'll have to pay if she buys thefood in bulk.Let's lett = total pricep = price per kilogramk = number of kilograms of foodEnter the correct answer.

Answers

In this problem the total price (p) will be equal to the price per kilogram (p) times the number of kilograms of food (k) so the equation will be:

[tex]t=p\cdot k[/tex]

selected the ordered pair that represent solutions to the system of inequalities. A) (-6,3)B) (-3,3)C) (-5,0)D) (-4,2)E) (0,0)F) (-6,6)G) (-3,-6)H) (-4,0)PLEASE ANSWER FAST

Answers

To detremine the ordered pairs that represent the system of inequalities given, from the choices given, the corredct ordered pairs are:

(x, y) ==> (-6, 3), (-4, 2), (-6, 6), (-4, 0)

factor x2 − 2xy − 10y2

Answers

factor x2 − 2xy − 10y2 is (x+2y)(x−5y) .

What is meant by polynomial's ?

A polynomial is an expression made up of indeterminates and coefficients that only uses addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x.

Therefore,

phrase reordering

x2−10y2−2xy

Rearrange 10y2 and 2xY.

x2−2xy−10y2

Subtract 3 from 3xy.

x2−2(xy)−10y2

Write 2as 2 plus 5 x2+(25)(xy)10y2 instead.

The distributive property should be used.

x2+2(xy)−5(xy)−10y2

Delete any extra parentheses.

x2+2xy−5(xy)−10y2

Delete any extra parentheses.

x2+2xy−5xy−10y2

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅ c=1⋅−10=−10 and whose sum is b=−2

Put the first and last two terms together.

(x2+2xy)

−5xy−10y2

Subtract each group's GCF, or greatest common factor.

x(x+2y)−5y(x+2y)

Remove the polynomial's x+2y largest common factor to factor it.

(x+2y)(x−5y)

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Prorate the following expenses and find the corresponding monthly expense.Lan pays a semiannual premium of $650 for automobile insurance, a monthly premium of $150 for health insurance, and an annual premium of $350 for life insurance.Question content area bottomThe monthly expense is $ (Round to the nearest cent as needed.)

Answers

Given:

Lan pays,

A semiannual premium of ​$650 for automobile​ insurance.

A monthly premium of ​$150 for health​ insurance.

An annual premium of ​$350 for life insurance.

To find:

The monthly expense.

Explanation:

According to the problem,

The amount paid for automobile​ insurance per year will be,

[tex]650\times2=1300[/tex]

The amount paid for health​ insurance per year will be,

[tex]150\times12=1800[/tex]

The amount paid for life insurance per year will be,

[tex]350\times1=350[/tex]

The total expenses in a year are,

[tex]1300+1800+350=3450[/tex]

So, the monthly expense is,

[tex]\frac{3450}{12}=\text{ \$}287.50[/tex]

Therefore, the monthly expense is $287.50.

Final answer:

The monthly expense is $287.50.

2) Suve the following quadratic equations la, quadratic for naudas i) 2x²+7+3=0 ii) 6x²-5x=8

Answers

Answer: x = -1/2 and x = -3

Given the following quadratic function

[tex]2x^2\text{ + 7x + 3 = 0}[/tex][tex]\begin{gathered} \text{The standard form of a quadratic function is given as} \\ ax^2\text{ + bx + c = 0} \\ \text{a = 2 , b = 7 and c = 3} \\ \text{ find ac} \\ ac\text{ = 2 x 3} \\ ac\text{ = 6} \\ \text{ Find the factors of ac (6) when add that will give us 7x} \\ \text{The factor is 6 and 1} \\ 2x^2\text{ + 6x + x + 3 = 0} \\ 2x(\text{x + 3) + 1 (x + 3)} \\ (2x\text{ + 1) = 0 or (x + 3) = 0} \\ 2x\text{ + 1 = 0 or x+ 3 = 0} \\ \text{x = -1/2 or x = -3} \end{gathered}[/tex]

The solution of the above quadratic function is x = -1/2 and x = -3

photo question graphing linear equations

Answers

We want to select the graph that represents the equation;

[tex]2x-5y=-10[/tex]

Let's rewrite this equation as;

[tex]\begin{gathered} -5y=-2x-10 \\ divide\text{ both sides by -5, we obtain;} \\ y=\frac{2}{5}x+2 \end{gathered}[/tex]

This equation has a slope of 2/5, an x-intercept of -5. and a y-intercept of 2, lets inspect the graphs to see which one matches it.

Going through the options, we see that the matching graph-the correct graph is Option A.

Select the y-intercept and another point that lies on the graph of the equation y = 3x − 2.

Answers

The y-intercept of the equation y = 3x − 2 is (0, -2).

y-intercept

In Mathematics, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx + c, where m is slope and c is the y-intercept.

Equation of a line

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.

Given that lies on the graph of the equation y = 3x − 2.

We know that

In an equation of line

y = mx + c

m = slope of a line

c = y intercept

So therefore in given equation of line the y intercept is (0, -2).

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The entire graph of the function h is shown in the figure below.
Write the domain and range of h as intervals or unions of intervals.

Answers

The domain of the function f is [-5. -2] U [ 1, 2].

The range of the function f is [-4, 3].

What is a function?

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain of the function.

The outputs are called the range of the function.

We have,

A graph of the function f.

We can see two curves on the graph.

One curve:

Domain = [1, 2]

Range = [-4, 0]

Another curve:

Domain = [-5, -2]

Range = [-3, 3]

We can combine both the curves domain and the range.

Domain = [-5. -2] U [ 1, 2 ]

Range = [-4, 3]

Thus,

The domain of the function f is [-5. -2] U [ 1, 2].

The range of the function f is [-4, 3].

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activity slack (also known as float) can be calculated through which of the following means? a. early finish (ef) - late finish (lf) b. early finish (ef) - early start (es) c. late finish (lf) - late start (ls) d. late start (ls) - early start (es) What does 2/4 + 3/6= a hydraulic jack has an input piston of area 0.0580 m2 and an output piston of area 0.680 m2. how much force (in n) on the input piston is required to lift a car weighing 1.45 104 n? For her school Science Fair, Alyssa designs an experiment to learn more about erosion. Her experimental set up is shown below. A solid cube is submerged in a container of water of density p,. The cube has mass M, volume Vc, and density pw. The water exerts an upward buoyant force on the cube of magnitude PwVcg. Which of the diagrams is the best representation of the forces exerted by the water on the cube? The force exerted by gravity on a whole brick is greater than the force exerted bygravity on half a brick. Why, then, doesn't a whole brick fall faster than half a brick? Which technology has been commonly utilized by scientists to manipulate heritable information by creating DNA fragments with ends that can join with other DNA fragments? Gel electrophoresis Genetic cloning Plasmid transformation Restrictive enzyme analysis Ash practiced her free throw 900 times. She made 30% of her shots. How many did she make? Select the statement that correctly describes the solution to the system of equations. GDP per capita is the most important factor that determines if a country is classified as developed, developing, or least-developed. [true or false] Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.m/1 = (5x +15), m/4= (30x - 60) A shopper walks eastward 5.4 meters and then westward8.9 meters.what is the magnitude and direction of the displacement? Using the definition of congruent triangles, do you have enough information to show two triangles are congruent? common demomenator for 1/6 a municipal bond has a ytm of 4.35 percent while the ytm of a comparable taxable bond is 7.00 percent. what is the tax rate that will make an investor indifferent between the municipal bond and the taxable bond? log_3 (3) + log_3(x)=log_3(36) what exercise technique consists of a series of very brief, high-intensity exercises sessions interspersed with short rest periods? A parent cell from a human starts with 23 pairs of chromosomes; how many pairs of chromosomes will be in each new cell following cytokinesis? CAN SOMEONE PLEASE HELP MEso i need to write a scenario for a bill of rights and answer it if it was constitutional or not and what amendment is the scenario Please work it out !!! Express each ratio as a fraction in the simplest form. 1) 9 beetles out of 15 insects _____ 2) 4 dimes to 28 dimes _____ 3) 12 pennies to 72 pennies _____ 4) 28 cups to 63 cups _____ 5) 15 quarts to 21 quarts _____ 6) 12 blue cars out of 18 cars _____ 7) 25 miles out of 50 miles _____ 8) 12 gallons to 16 gallons _____ Express each phrase as a rate and unit rate. (Round your answer to the nearest hundredth.) Rate Unit Rate 9) 7 pencils for 10 dollars _______ _ _______________ 10) 21 dollars for 8 books _______ ________________ 11) 14 inches of snow in 4 hours _______ ________________ 12) 5 calculators cost $200.00 _______ ________________ 13) 7 chocolate bars cost 20 dollars _______ ________________ 14) 135 miles on 8 gallons of gas _______ ________________ 15) 7 dollars for 2 cans of tuna _______ ________________ 16) 6 batteries cost 30 dollars _______ _