Which problem solving strategy would be best to solve this problem?Austin, Texas is two hours ahead of San Diego, California. If the time in Austin is 1:00 P.M., what time is it in San Diego?A.guess, check and reviseB.use a formulaC.work backwardsD.write an equation

Answers

Answer 1

Answer:

D. Write an equation

Step-by-step explanation:

x = The time of Sand Diego

t = Current designated time

n = The difference in time

So the equation is x = t+/-n.

You can determine if it would be + or - based of the word problem.

For this word problem the equation is x = 1:00pm - 2hrs

Hope this helps.


Related Questions

Find the Equation of the Perpendicular Line
Instructions: Find the equation of the line through point (-1, 2) and perpendicular to x + 3y = 3.

y =

Answers

Answer:

  y = 3x +5

Step-by-step explanation:

The equation of a perpendicular line can be formed by swapping the x- and y-coefficients, and negating one of them. The constant in the equation will be chosen to make the equation true at the given point.

Coefficients swapped

The desired equation in the given standard form will be ...

  3x -y = c . . . . . . for some new constant c

Note that we have kept the x-coefficient positive, and have negated the y-coefficient.

Constant value

The new constant will make the equation true at the point (-1, 2):

  3(-1) -(2) = c = -5

So, the standard-form equation is ...

  3x -y = -5

Slope-intercept form

The answer form suggests you want to solve this for y. Adding y+5 to both sides will give the form you want:

  3x -y +(y+5) = -5 +(y+5)

  3x +5 = y

  y = 3x +5

Write the statement as an equation." Three is subtracted from the reciprocal of a number. Let x be equal to the number .

Answers

Answer:

1/x - 3

Step-by-step explanation:

The number is x.

The reciprocal of the number is 1/x.

3 is subtracted from the reciprocal of a number.

1/x - 3

What is the range of the function shown on the graph above HELP

Answers

Answer:

C. 0 ≤ y ≤ 7

Step-by-step explanation:

Range is the interval of the numbers on the y-axis. The numbers go from y-value 1 to y-value 7. Since the circles at the ends are closed, this means 0 and 7 are included in the range, so ≤ is included instead of <.

Solve the system using substitution.
y - 3x = 1
2y - X = 12
([?], [ ?])

Answers

Answer:

x = 2 , y = 7

Step-by-step explanation:

Since

y-3x = 1

y = 3x+1 - equation 1

2y-x = 12 - equation 2

Since we are using substitution method,

we will substitute equation 1 into equation 2.

[tex]2(3x + 1) - x = 12 \\ 6x + 2 - x = 12 \\ 5x + 2 = 12 \\ 5x = 12 - 2 \\ 5x = 10 \\ x = \frac{10}{5} \\ = 2[/tex]

Now we substitute x into equation 1 to find y.

[tex]y = 3(2) + 1 \\ = 6 + 1 \\ = 7[/tex]

Therefore x = 2, y = 7.

We have found that:
(X,₁)=(3,-1)
• m = 3

Substituting these values in (y - y₁) = m(x-x1), we'll get the equation of the line as:

Answers

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Find the equation of the line, with the info given.

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

The formula used in this problem is,

[tex]\bf{y-y_1=m(x-x_1)}[/tex]

□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□□

[tex]\bf{y-(-1)=3(x-3)[/tex] | simplify

[tex]\bf{y+1=3(x-3)}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{Result:}[/tex]

                         [tex]\bf{=y+1=3(x-3)}[/tex]

[tex]\boxed{\bf{aesthetic \not101}}[/tex]

4. The parents made pies for the school bake sale to pay for the next field trip.
They made 55 apple pies and 45 blueberry pies. How many pies did they make
altogether? Estimate first, then solve.

Answers

The total number of pies they made altogether is 100.

How many pies did they make altogether?

In order to determine this value, add the number of blueberry pies with the number of apple pies.  Addition is the mathematical operation that is used to determine the sum of two or more numbers.

The total number of pies = 55 + 45 = 100 pies

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CIRCLE question is in the picture

Answers

Answer:

27π cm² or 84.8 cm²

Explanation:

[tex]\sf Formula \ for \ area \ of \ sector = \dfrac{\theta}{360 } \ x \ \pi (radius)^2[/tex]

Shaded region angle: 360° - 90° = 270°

 Given radius: 6 cm

Applying formula:

[tex]\rightarrow \sf \dfrac{270}{360} \ x \ \pi (6)^2[/tex]

[tex]\rightarrow \sf 27\pi[/tex]

[tex]\rightarrow \sf 84.823 \ cm^2[/tex]

[tex]\rightarrow \sf 84.8 \ cm^2 \quad (rounded \ to \ nearest \ tenth)[/tex]

Solve the following equation for X, if Y = 3 and Z = -1. 3XY- 5XZ^2+Y=19

Answers

y=7-4*[4-3^3]-7888=421

For a certain company, the cost for producing x items is 60x+300 and the revenue for selling x items is 100x−0.5x2 .



The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!



Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)



Part b: Find two values of x that will create a profit of $50 .



The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1 ). The order of the list does not matter. To enter a−−√ , type sqrt(a).



x=
Preview



Part c: Is it possible for the company to make a profit of $2,500 ?

Answers

The answers are

A. The equation for the profit from selling the items is P =  40x-0.5x²-300. b. The values of x are 10 and 70.c. It is not possible to have the profit of 2500

How to solve for the expression

We have the cost function in this question to be

C(x) = 60x+300

We have the function of the revenue to be

Revenue = 100x−0.5x²

A. The formula for revenue function is given

revenue - cost

This is expressed as

= (100x−0.5x²)-60x+300

We have to collect like terms and open the equation above.

This given us:

40x-0.5x²-300

B. when profit = 50$

We have p = 40x-0.5x²-300

50 = 40x-0.5x²-300

Multiply the two sides by 10

This gives

500 = 400x - 5x² - 3000

This gives a quadratic equation

5x² - 400x - 3500 = 0

To solve the equation you have to make use of a quadratic calculator.

This gives us the values

x = 10x = 70

c. We have  P =  40x-0.5x²-300.

at P = 2500

2500  =  40x-0.5x²-300.

Multiply the equation by 10

25000 = 400x - 5x² - 3000

collect like terms

400x - 5x2 - 3000 +28000

400x -5x2 +28000

We have to take the discriminant

-400² - 4*5*28000

= -400000

The discriminant is negative hence it is not possible.

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14. If m is a positive integer, then which of the
following is equivalent to 4m + 4m + 4m + 4m?
(A) 4m+1
(B) 4^4m
(C) 4^4m + 1
(D) 4m +4

Answers

Hello!

Simplifying :

⇒ 4m + 4m + 4m + 4m

4(4m)

4m+4m+4m+4m4(m+m+m+m)4(4m)16m2⁴m

None of the above

Instructions: Solve the quadratic equation and simplify your answer(s).



7x2=−12−5x

x=
-5
+

,
-5


14
14

Answers

[tex]7x^2 = -12-5x\\\\7x^2 + 5x+12=0\\\\x=\frac{-5 \pm \sqrt{5^{2}-4(7)(12)}}{2(7)}\\\\\boxed{x=\frac{-5 \pm i \sqrt{311}}{14}}[/tex]

FOR 50 POINTS!

In great detail, describe how to solve the advanced function below.

4^(8 - 2x) = 256

I understand the solution to the problem is (2). I would like a detailed description of how exactly to solve this problem.

Answers

The value of x in the equation is 2.

What is indices?

Indices singular index is a branch of algebra that deals with the power or exponent of variables.

Laws of indices help us to evaluate indicial expressions and equations.

Analysis:

[tex]4^{8-2x}[/tex] = 256

Here 4 is the base number while 8-2x is the exponent or index.

So for us to evaluate this, we need to write 256 in its index form having its base as 4 also.

so 256 in base 4 index form is [tex]4^{4}[/tex]

[tex]4^{8-2x}[/tex] = [tex]4^{4}[/tex]

since both sides have the same base number, we equate only their exponent

8-2x = 4

-2x = 4 - 8

-2x = -4

x = -4/-2 = 2

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What method of matrixes would be used for this question? ( Inverse Matrices, Cramer's Rule, Gaussian Elimination, and Gauss-Jordan Elimination)

May’s restaurant ordered 200 flowers for Mother’s Day. They ordered carnations at $1.50/each, roses at $5.75 each, and daisies at $2.60 each. They ordered mostly carnations, and 20 less roses than daisies. The total order came to $589.50. How many of each type of flower was ordered?

Answers

Answer:

  (d) Gauss-Jordan Elimination

  80 carnations; 50 roses; 70 daisies

Step-by-step explanation:

The given relations can be written as equations, which can be expressed as one matrix equation. Any of the methods listed can be used to solve the matrix equation.

Equations

If we let c, r, d represent numbers of carnations, roses, and daisies ordered, respectively, then the given relations can be written as ...

  c + r + d = 200 . . . . . . 200 flowers were ordered

  0c -r +d = 20 . . . . . . . . . . . . . 20 more daisies than roses were ordered

  1.50c +5.75r +2.60d = 589.50 . . . . . the total value of the order

Matrix Equation

Written as a matrix equation, it will be of the form ...

  AX = B

where A is the square matrix of variable coefficients, X is the column vector of variables, and B is the column vector of equation right-side constants. This is the matrix equation:

  [tex]\left[\begin{array}{ccc}1&1&1\\0&-1&1\\1.50&5.75&2.60\end{array}\right] \left[\begin{array}{c}c\\r\\d\end{array}\right] =\left[\begin{array}{c}200\\20\\589.50\end{array}\right][/tex]

Solution Methods

The mathematical operations required to find the equation solution can be briefly described as ...

Inverse Matrices

The coefficient matrix is inverted and multiplied by the constant column vector:

  [tex]X=A^{-1}B[/tex]

The inversion operation requires computation of 10 determinants, of which 9 are of 2×2 matrices. That's a total of about 39 multiplications, 9 divisions, and 20 additions.

Cramer's Rule

Using Cramer's rule requires computation of 4 determinants of 3×3 matrices. The total number of operations comes to about 48 multiplications, 3 divisions, and 20 additions.

Gaussian Elimination

To obtain the upper triangular matrix that results from Gaussian Elimination requires about 11 multiplications, 11 additions, and 2 divisions. This finds the value of one variable, but the others must be found by substitution into the remaining two equations, requiring an additional 3 multiplications and 3 additions.

Gauss-Jordan Elimination

This method starts with an augmented matrix that appends column vector B to the square matrix A. The result of this is shown in the attachment. It is a diagonal matrix with the variable values a direct result of the matrix operations. The calculator's RREF( ) function performs matrix row operations to transform the augmented matrix to this Reduced Row-Echelon Form. About 6 multiplications, 6 additions, and 4 divisions are required.

Clearly, Gauss-Jordan Elimination is the method that requires the least computational work, so it would probably be used for this question.

Flowers

The attachment shows the order to be ...

80 carnations50 roses70 daisies

__

Additional comment

The estimates of computational load presented by each of the solution methods are not intended to be exact counts. For this specific problem, some of the operations can be avoided due to the fact that some coefficients are already 1. Also, some computations are not needed simply because they are intended to produce an outcome that is already known. The intention is to give an idea of the relative difficulty of using these different methods.

In some cases, computationally less-efficient methods may be preferred because they are simpler to describe.

You have $1,300 in savings for retirement. If your investments earn 12% annually, how much will you have in your retirement account in 11 years?

Answers

3016

1300x.12=156
156x11+1300=3016

Please mark brainliest

Step-by-step explanation:

Answer :- Amount (after 11 years) = $4522.11

Simplify (38)-2⁢(13⋅38)3⁢(13)4.

Answers

The value of (38)-2⁢(13⋅38)3⁢(13)4. is -154090

How to simplify the expression?

The expression is given as:

(38)-2⁢(13⋅38)3⁢(13)4.

Rewrite properly as:

(38) - 2 * ⁢(13 * 38) * 3 * ⁢(13) * 4.

Evaluate the products in the bracket

(38) - 2 * ⁢(494) * 3 * ⁢52

Further, expand

38 - 154128

Evaluate the difference

-154090

Hence, the value of (38)-2⁢(13⋅38)3⁢(13)4. is -154090

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What is the greatest common factor of 6, 42, and 18?

Answers

Answer:

Step-by-step explanation:

1) List the factors of each number.

Factors of 6 : 1, 2, 3, 6

Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

Factors of 18 : 1, 2, 3, 6, 9, 18

2) Find the largest number that is shared by all rows above. This is the GCF.

GCF = 6

Suppose a graphic designer earns $52,000 and is not self-employed. How much will the designer have to pay in FICA taxes?

Answers

The amount that the designer will have to pay in FICA taxes is:$3,978.

FICA taxes

FICA taxes comprises of:

Social Security tax= 6.2%

Medicare tax= 1.45%

Hence:

FICA taxes=($52,000×6.2%)+($52,000×1.45%)

FICA taxes=$3,224+$754

FICA Taxes=$3,978

Therefore the amount that the designer will have to pay in FICA taxes is:$3,978.

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If three times a number added to 2 is divided by the number plus 4 the result is eight thirds. Find the number

Answers

Answer:

26

Step-by-step explanation:

(3a+2)/(a+4) = 8/3

(3a+2) = (8/3)(a+4)

(3a+2) = a*8/3 + 4*8/3

(3a+2) = 8a/3 + 32/3

3a - 8a/3 = 32/3 - 2

9a/3 - 8a/3 = 32/3 - 6/3

9a - 8a = 32 - 6

a = 26

Check:

(3*26 + 2) / (26+4) = 8/3

(78+2) / 30 = 8/3

80 / 30 = 8/3

what to write it here

Answers

Answer:

84 degrees

Step-by-step explanation:

Angle A = 83 degrees

Angle B = x degrees

Angle C = 135 degrees

Angle CDE = 122 degrees

We know that the four inner corners of a quadrilateral should add up to 360 degrees. Two supplementary angles will add up to 180 degrees. Adjacent angles on a straight line will always be supplementary. Knowing this, just solve for <ADC and add that amount to <A and <C. Then, subtract that sum from 360 degrees.

<ADC = 180-122 = 58

58+83+135 = 276

360-276 = 84 degrees

On Friday, a local hamburger shop sold a combined total of 376 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?

Answers

Answer:

94 hamburgers

Step-by-step explanation:

Let's solve this question through the use of equations.

Start by defining the variables used.

Let the number of hamburgers and cheeseburgers sold on Friday be h and c respectively.

Form 2 equations using the given information.

Given that the total sold is 376,

h +c= 376 -----(1)

The number of cheeseburgers sold was thrice the number of hamburgers sold.

c= 3h -----(2)

Solving by substitution:

Substitute (2) into (1):

h +3h= 376

Now that we have an equation expressed only in terms of h, we can find the value of h.

4h= 376

Divide both sides by 4:

h= 376 ÷4

h= 94

Thus, 94 hamburgers were sold on Friday.

Help
Note that: The solution must be non zero
Spam/Irrelevant answers will
be reported

Answers

Answer:

Step-by-step explanation:

[tex]y'' + \omega^2 y = 0[/tex]

has characteristic equation

[tex]r^2 + \omega^2 = 0[/tex]

with roots at [tex]r = \pm\sqrt{-\omega^2} = \pm|\omega|i[/tex], hence the characteristic solution is

[tex]y = C_1 e^{i|\omega|x} + C_2 e^{-i|\omega|x}[/tex]

or equivalently,

[tex]y = C_1 \cos(|\omega|x) + C_2 \sin(|\omega|x)[/tex]

With the given boundary conditions, we require

[tex]y(0) = 0 \implies C_1 = 0[/tex]

and

[tex]y'(\pi) = 0 \implies -|\omega| C_1 \sin(|\omega|\pi) + |\omega| C_2 \cos(|\omega|\pi) = 0[/tex]

With [tex]C_1=0[/tex], the second condition reduces to

[tex]|\omega| C_2 \cos(|\omega|\pi) = 0[/tex]

Assuming [tex]C_2\neq0[/tex] (because we don't want the trivial solution [tex]y=0[/tex]), it follows that

[tex]\cos(|\omega|\pi) = 0 \implies |\omega|\pi = \pm\dfrac\pi2 + 2n\pi \implies |\omega| = 2n\pm\dfrac12[/tex]

where [tex]n[/tex] is an integer. In order to ensure [tex]|\omega|\ge0[/tex], we must have [tex]n\ge1[/tex] if [tex]|\omega|=2n-\frac12[/tex], or [tex]n\ge0[/tex] if [tex]|\omega|=2n+\frac12[/tex].

Miles is starting a tree farm. His plot of land is triangular with one side 36 feet and the other two sides 30 feet each. The height of this triangle-shaped plot is 24 feet. If each tree needs 8 square feet of space to grow, how many trees can Miles plant?
a. 35 b. 42 c. 54 d. 76

Answers

Answer:

54

Step-by-step explanation:

the plot of land is an isosceles triangle, meaning two sides and angles are the same in value.

height (h)= 24

base (b)= 36

length (l)= 30

solution

find the area of triangle using area=half the product of the base and height.

A=1/2(36×24)

A= 216 square feet.

each tree needs 8 square feet

therefore using ratio and proportion,

1 tree= 8 square feet

x trees= 216 square feet

cross multiply and it'll be

216/8=x

therefore x= 54 trees

The length of a rectangle is 27 meters and the width is 4 meters. Find the area. Give your answer without units.

Answers

27 times 4 =108
Answer = 108

Answer:

[tex]108 m^{2}[/tex]

Step-by-step explanation:

[tex]27\times4=108[/tex]

TIME REMAINING
59:23
Jessie graphed one of the lines in a system of equations: y = 3 x minus 2. If the system has an infinite number of solutions, which statements are true? Check all that apply.

On a coordinate plane, a line goes through (0, negative 2) and (1, 1).
Any point in the coordinate plane is a solution because it has an infinite number of solutions.
Point (1, 1) is a solution because it is one of the points on the line already graphed.
It is impossible to tell if (–1,–5) is a solution without seeing the other line graphed.
Point (20, 58) is a solution because it results in a true statement when the point values are substituted into the equation of the line.
When the other line in the system is graphed, it will share all points with the line already graphed.

Answers

Answer:

a & c

Step-by-step explanation:

Answer:

B) Point (1, 1) is a solution because it is one of the points on the line already graphed.

D) Point (20, 58) is a solution because it results in a true statement when the point values are substituted into the equation of the line.

E) When the other line in the system is graphed, it will share all points with the line already graphed.

Step-by-step explanation:

Someone please help!

Answers

Answer: horizontal

Step-by-step explanation: there going across sideways and not up and down

please find the inverse of this
y=log base 4 x^4

Answers

Step-by-step explanation:

[tex]y = log_{4}( {x}^{4} ) [/tex]

Swap x and y.

[tex]x = log_{4}( {y}^{4} ) [/tex]

Solve for y.

[tex]x= 4 log_{4}(y) [/tex]

[tex] \frac{1}{4} x = log_{4}(y) [/tex]

[tex]4 {}^{ \frac{1}{4}x } = y[/tex]

So the inverse is

[tex]4 {}^{ \frac{x}{4} } = f {}^{ - 1} (x)[/tex]

Pls Help! Geometry
Find the area of the shaded region.

Answers

Answer: 112.5 square cm

Step-by-step explanation:

The area of the rectangle is [tex](20)(9)=180[/tex] square cm.

The area of the white triangle is [tex]\frac{1}{2}(9)(20-3-2)=67.5[/tex] square cm.

So, the area of the shaded region is [tex]180-67.5=112.5[/tex] square cm.

what is the percentage of change from 12 to 19

Answers

Answer:

(19-12):12*100 =

(19:12-1)*100 =

158.33333333333-100 = 58.33

7/8 divided by 9/10[tex]7/8 divided by 9/10[/tex]

Answers

Step-by-step explanation:

a ) Solution,

[tex] = \frac{7}{8} \div \frac{9}{10} \\ [/tex]

[tex] = \frac{7}{8} \times \frac{10}{9} \\ [/tex]

[tex] = \frac{70}{72} \\ [/tex]

Change into lowest term....

[tex] = \frac{35}{36} \\ [/tex]

Choose the letter of the equation for
the graph.

Answers

Answer:

a

Step-by-step explanation:

The midline is at y=2.

Eliminate c, d, e

Also, since there is no horizontal shift amongst the remaining options, we know that since y=2 when x=0, this means it must be a sine curve.

This means the answer is a.

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