Jim stands on a dock that is 3 3/4 feet above the lake. He dives down 12 1/2 feet below the dock. What is Jims vertical location relative to the lake surface?

Answers

Answer 1

Given:

Jim stands on a dock that is [tex]3\dfrac{3}{4}[/tex] feet above the lake. He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock.

To find:

The Jims vertical location relative to the lake surface.

Solution:

We have,

Vertical location of dock relative to the lake surface [tex]=3\dfrac{3}{4}[/tex] feet

He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock. So,

Vertical location relative to the lake surface [tex]=3\dfrac{3}{4}-12\dfrac{1}{2}[/tex]

[tex]=\dfrac{3\times 4+3}{4}-\dfrac{12\times 2+1}{2}[/tex]

[tex]=\dfrac{12+3}{4}-\dfrac{24+1}{2}[/tex]

[tex]=\dfrac{15}{4}-\dfrac{25}{2}[/tex]

Taking LCM, we get

[tex]=\dfrac{15-50}{4}[/tex]

[tex]=\dfrac{-35}{4}[/tex]

[tex]=-8\dfrac{3}{4}[/tex]

Here, negative sign means Jim location is below the lake surface.

Therefore, Jim is [tex]8\dfrac{3}{4}[/tex] feet below the lake surface.

Answer 2

Answer:-8 3/4

Step-by-step explanation:

I just took the cahoot


Related Questions

A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a
radioactive substance. After 40 hours, 75 mg of the substance remains. How many milligrams will
remain after 60 hours?

Answers

Answer:

We are given

Scientist begins with 150 milligrams of a radioactive substance

so,

we can use formula

we can plug Po=150

After 29 hours, 75 mg of the substance remains

so, at t=29 , P=75

we can plug it

now, we can solve for k

now, we can take ln on both sides

now, we can plug it back

and we get

we can plug t=33

we get

..............Answer

Step-by-step explanation:

can some one help me

Answers

Answer:

84 grams and 5 ounces

Step-by-step explanation:

because one ounce equals 28 grams, that means 3 ounces = 3 * 28 = 84

because 28 grams equals 1 ounce, 140 grams = 140 / 28 = 5 ounces

What is the answer???

Answers

Answer:

Step-by-step explanation:

An altitude is a line segment that meets the side opposite the vertex at right angles. The line also has to go through the vertex.

The only line that does both those things is DE.

Every Halloween, trick-or-treaters love going to Gabe's house to see his spooky decorations and get some of his delicious caramel chews. Gabe gives a group of 3 kids a total of 6 caramel chews. He gives a group of 5 kids 10 caramel chews. In this relationship, x represents the number of kids in a group, and y represents the total number of caramel chews Gabe gives to that group.

Answers

Answer:

y = 2x

Step-by-step explanation:

Since we are told what to find, we can find the equation of the line that models the statement.

Using the equation of a line

y = MX+c.

m is the slope

c is the intercept

x represents the number of kids in a group (slope)

y represents the total number of caramel chews Gabe gives to that group.

If Gabe gives a group of 3 kids a total of 6 caramel chews and he gives a group of 5 kids 10 caramel chews, we can represent this as coordinate points;

(3,6) and (5,10)

Get the slope

M = 10-6/5-3

M = 4/2

M = 2

Get the intercept by substituting m= 2 any of the points (let's use (3,6)) into the expression y = MX+c to get the value of c;

y = MX+c

6. = 2(3)+c

c = 6-6

c = 0

Substitute m = 2 and c = 0 to get the required equation

y = MX+c

y = 2x+0

Hence the equation that models the statement is y = 2x

What is the product of (7/8) (-16) (-7) (-1/14) ?

O A. -7
O B. -9/16
O C. -1/7
O D 23/12

Answers

Answer:

-7

Step-by-step explanation:

Answer:

hello guys ^_^ its -7 and if it is wrong don't be afraid to tell me

~your friendly austrailian~

Find the volume of the rectangular prism.
9 m
3
m
12
3 m
7 m

Answers

Answer:

[tex]189 {m}^{3} [/tex]

Step-by-step explanation:

[tex]9 \times 3 \times 7 \\ = 189 {m}^{3} [/tex]

[tex]3 \times 9 \times 7 \\ = 189 {m}^{3} [/tex]

f(x)=-3x • G(x) = x +7

Answers

Answer:

-3x^2 - 21x

Step-by-step explanation:

This question is representing multiplying two functions :

We are finding f(x) * g(x)

We know that f(x) is -3x and g(x) is x + 7, therefore :

(-3x)(x + 7)

Follow FOIL :

First :

(-3x)(x)

-3x^2

Outer :

(-3x)(7)

-21x

Therefore the answer is :

-3x^2 - 21x

please graph y = -2x - 2

Answers

Answer:

(0,-2)

Step-by-step explanation:

The function p(x) = −2000x2 + 18000x − 15000 models the monthly profit P of a smoothie company, where x represents the price per smoothie. Identify the price range that will generate a monthly profit of at least $25,000.

Answers

Answer: between $4 and $5; inclusive

Which of the following statements is not supported by the Venn diagram below?

A.) 13 Students know how to play the violin.
B.) More students know how to play the piano than the violin.
C.) 18 students know how to play the piano.
D.) One person knows how to play both the piano and the violin.

Answers

Answer:

A

Step-by-step explanation:

its supposed to be 14 know how to play the violin.  Your answer is A

Answer:

C would be the answer

Step-by-step explanation:

Calculate the rate of change for each table and determine if the table is proportional

Answers

9514 1404 393

Answer:

  tables A, B, E are proportional relationships

Step-by-step explanation:

Finding the rate of change involves finding the ratio of the difference of adjacent y-values to the difference of adjacent x-values. For this many tables and points, I find that to be exceptionally tedious, so I let a spreadsheet do the work.

For the four points, there are three ratios. In the attachment, each ratio is between the point on the same line and the point on the next line. Two conditions are required for the table to be proportional:

the rates of change must all be the samethe rate of change must be equal to the ratio of y to x

The green color identifies tables that are proportional.

Write an equation in slope-intercept form of the line that passes through the points.

Answers

Answer:

y = 1/4x + 1

Step-by-step explanation:

y=1/4+1 THATS THE ANSWERRRRR RIGHT THERE

Using the feasible region below, determine which x and y values will maximize the profit, P, in the equation P = 40x + 55y * 1 point

A(0, 500)
B(300, 400)
C(380, 200)
D(400, 0)
E None of the Above

Answers

Answer:

B (300, 400)

Step-by-step explanation:

The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :

P = 40x + 55 y

A - When x =  0 , y = 500

P = [40 * 0] + [55 * 500]

P = 27500

B -

When x =  300 , y = 400

P = [40 * 300] + [55 * 400]

P = 34000

C -

When x =  380 , y = 200

P = [40 * 380] + [55 * 200]

P = 26200

D -

When x =  400 , y = 0

P = [40 * 400] + [55 * 400]

P = 16000

explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?

Answers

Answer:

Summary:

Standard form allow us to quickly find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Step-by-step explanation:

The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.

Standard Form:

The standard form of a quadratic is:

[tex]ax^2+bx+c[/tex]

There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.

The leading coefficient a will tell us if the parabola curves upwards or downwards.

And the constant c will give us the y-intercept.

Vertex Form:

The vertex form of a quadratic is:

[tex]a(x-h)^2+k[/tex]

There are also two details that can be conveyed by a quadratic in vertex form:  (1) the vertex, and (2) the leading coefficient.

The leading coefficient is given by a. Again, this tells us the orientation of the parabola.

And the vertex is given by (h, k).

Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.

Factored Form:

The factored form of a quadratic is:

[tex]a(x-p)(x-q)[/tex]

Where p and q are the zeros/roots/solutions of the quadratic.

Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.

The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.

Summary:

Therefore, each form of a quadratic equation has its own benefits.

Standard form allow us to find the y-intercept.

Vertex form allow us to quickly locate the vertex.

And factored form allows us to quickly determine the roots/zeros.

Hence, depending on the question, each form can be useful in its own way.

Nathan is a cat enthusiast! He currently cares for 4 different cats. He adopts 2
new cats every year. Write and graph an equation to represent how many
cats he will have after x amount of years.

Answers

Answer:
y=4+2x

Explanation:
He starts with four. Every year he will gajn 2 cats. Multiply 2 by the number of years (x).

A camera has a listed price $627.98 before tax. If the sales tax rate is 7.25%, find the total cost of the camera and it's sales tax included. Round your answer in the nearest cent, as necessary.

Answers

$627.98 + 7.25% = $637.50

9 x 7 = ( x 7) – (1 x 7)
= 70-
=

Answers

Answer:

63

Step-by-step explanation:

9x7=(10x7)-1x(7)

=70-7

=63

A taxi service charges a flat rate for the first
3
miles of service. For any additional mileage, the taxi service charges an additional rate per mile,
x
. The expression
10
+
2.50
(
x

3
)
represents the scenario.

Which statement is true?

Answers

Answer:

The taxi charges $10 as the flat rate for the first 3 miles and $2.50 for each additional mile.

Step-by-step explanation:

The number or expression inside a radical symbol

Answers

Answer:

radicand

Step-by-step explanation:

The answer well be radicand :)

Can someone please explain ASA triangle congruence? I will give brainliest.

Answers

Answer:

This is easier to explain with pictures, but I'll try here. The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

HELP ASAP I NEED HELP AND I'M DESPERATE.

Answers

Answer:

Blank 1. -2x+4

Blank 2. x+2

Step-by-step explanation:

I GIVE BRAINIEST “What is the solution of a system of equations if the sum of the
equations is 0 = 2?”

Answers

Answer:

At the bottom!!

Step-by-step explanation:

y=2

2=0+x

x=2

Solution of a system of equations:A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. ... The solution to the system will be in the point where the two lines intersect.

Hope this helps!!

(For #8 -9) Choose ONE of the application problems below and solve it using a system of 2 equations.
Remember - word problem, word answer.
8. The high school FFA is selling fruit. Together, Kay and Ayan sell a total of 25 boxes. Kay sells 13 less than Ayan.
How many boxes does each girl sell?
Define your variables:
X =
Y =
boxes.
boxes, and Ayan sold
Kay sold

Answers

Answer:

Kay sold 6 boxes and Ayan sold 19 boxes

Step-by-step explanation:

Let x be the number of boxes sold by Kay and

Let y be the number of boxes sold by Ayan

Then according to given statements, the equations will be:

[tex]x+y = 25\ \ \ Eqn\ 1\\x = y-13\ \ \ Eqn\ 2[/tex]

Putting x = y-13 in equation 1

[tex]y-13+y = 25\\2y-13=25\\2y=25+13\\2y = 38\\\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]

Putting y = 19 in equation 2

[tex]x = 19-13 = 6[/tex]

So we get x=6 and y=19

Hence,

Kay sold 6 boxes and Ayan sold 19 boxes

AYUDA PLIS 1) Pablo compro un sobre de jugo que les costo $28,85, un alfajor por $85,50 y un helado. Si pago con $250 ¿Cuánto costo el helado? 2) Santiago compro una bolsa de alimentos para perros a $349,50, otra para gatos a $108,25 y pieritas sanitarias a $ 29,75. a- ¿Cuánto dinero gasto? b- Si pago con $600 ¿Cuánto le dieron de vuelto?

Answers

Answer:

1) El helado costó $135,65.

2) a) Gastó en total $487,5. b) Le dieron $112,5 de vuleto.

Step-by-step explanation:

1) Podemos encontrar el costo del helado como sigue:

[tex] T = J + A + H [/tex]

[tex] H = T - J - A = 250 - 28,85 - 85,50 = 135,65 [/tex]

Por lo tanto, el helado costó $135,65.

2) a) Para saber cuanto dinero gastó debemos sumar todos los precios:

[tex] T = B_{p} + B_{g} + P = 349,50 + 108,25 + 29,75 = 487,5 [/tex]

Entonces, gastó en total $487,5.

b) Si pagó con $600, su vuelto fue:

[tex] V = 600 - T = 600 - 487,5 = 112,5 [/tex]

Le dieron $112,5 de vuleto.

Espero que te sea de utilidad!

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The 2nd one or either the last one, I suggest the last one hope this helps!!

List three different examples of rational numbers

Answers

Answer:

5, 1.75, .001, and -0.1

Step-by-step explanation:

Number As a Fraction Rational?

5                  5/1             Yes

1.75                  7/4              Yes

.001               1/1000      Yes

−0.1               −1/10              Yes

Hope this Helps (✿◡‿◡)

P.S I got this off the internet.

The length of the base of an isosceles triangle is x. The length of a leg is 4x -3. The perimeter of the triangle is 66. Find x

Answers

Answer:

x = 8

Step-by-step explanation:

Since the triangle is isosceles then the 2 legs are congruent.

Given the perimeter is 66, then sum the 3 sides and equate to 66, that is

x + 4x - 3 + 4x - 3 = 66 , that is

9x - 6 = 66 ( add 6 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

Help ASAP PLEASEE ( FREE BRAINLIST:)...) ​

Answers

Answer:

10

Step-by-step explanation:

place when expense and income intersect

Answer:10

Step-by-step explanation:

The corporate team-building event will cost $8 if it has 4 attendees. If there are 9 attendees, how much will the corporate team-building event cost? Solve using unit rates.

Answers

Answer:

18$ for 9 attendees

Step-by-step explanation:

Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system? (2 points)

Answers

Answer: 2x+y=-6

Step-by-step explanation:

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