Torrie has $430 and Sonia has $760. John has the same number of dollars more than Torrie as he has less than Sonia.How much money does John have?

Answers

Answer 1

John has $595 in his possession.

An algebraic expression is what?

An expression that has been created utilizing integers, constants, variables, and algebraic operations is known as an algebraic expression.

For instance, [tex]x^{2} + 2x + 2[/tex]

2x + 3

etc

The answer to the query is

John has the same amount of more money over Torrie as he has under Sonia.

Let's suppose it is $x since John has the same amount of money more than Torrie as he has less than Sonia.

Case 1

Actual amount that John has is $430 plus $x.

Case 2

Actual amount that John has is $760 less $x.

⇒ $430 + $x = $760 - $x

⇒ $2x = $330

⇒ $x = $165

John currently possesses $595 ($760 - $x) or ($430 + $x) in his possession.

John therefore has $595 in his bank account.

The amount of money that john has is $595

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Related Questions

ANSWER QUICK I WILL GIVE BRAINLIEST
Determine which expression is equivalent to the expression 2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12. 4 over 15 times g plus negative 17 negative 4 over 15 times g plus negative 17 2 over 15 times g plus negative 7 negative 4 over 15 times g plus negative 7

Answers

Answer:

-4/15 - 17

negative 4 over 15 plus negative 17

Step-by-step explanation:

2/3g - 5 - 11/15g - (1/5g +12)

Your wording is extremely confusing but I tried :]

-4/15 - 17

is the correct answer (I think)

The required simplified value of the given expression is -4/15 - 17.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12 is given as

= 2/3g - 5 - 11/15g - (1/5g +12)

Adding the alike terms,
= 2/3g -11/15g -1/5g -5 -12
= [10 - 11 -3] /15 g - 17
= -4g/15 -17

Thus, the required simplified value of the given expression is -4/15 - 17.

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A restaurant customer left $1.05 as a tip. The tax was 8% and the tip was 15% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?

Answers

well, the bill was actually "x", which oddly enough is the 100%, but we also know that the tip was $1.05 and that's 15% of the whole bill plus tax.

so if we know that 1.05 is 15% of "x", what the dickens is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 1.05 & 15\\ x& 100 \end{array} \implies \cfrac{1.05}{x}~~=~~\cfrac{15}{100} \\\\\\ 105=15x\implies \cfrac{105}{15}=x\implies 7=x[/tex]

well, as you can see, we know the tax was 8%, but, it doesn't really matter if it had been 25% or who knows, so long we know that 1.05 is 15% of the whole smack.

Plot the intercepts to graph the equation.
2x-3y=6

Answers

Answer:

y - intercept is (0,2)

x - intercept is (3,0)

Step-by-step explanation:

This is standard form.

Let x = 0

2x + 3y = 6

2(0) + 3y = 6

3y = 6 Divide both sides of the equation by 3

y = 2

The y intercepts is (0,2)

Let y = 0

2x + 3(0) = 6

2x = 6 Divide both sides of the equation by 2

x = 3

The x intercept is (3,0)

Answer:

x-intercept (3, 0)

y-intercept (0, -2)

Step-by-step explanation:

Finding the intercepts:

At x-intercept the y = 0. The line passes the x-axis.

2x -0 = 6

2x = 6

x = 6 ÷ 2

x = 3

x-intercept (3, 0)

At y-intercept, x = 0 . The line passes y-axis.

0 - 3y = 6

-3y = 6

y = 6 ÷ (-3)

y = (-2)

y-intercept (0 , -2)

Plot these two points in the graph and join the points.

Which equation has the solution x= 9? Select each correct answer. 4 + 5x = 18 0 24 - 2x – 13 DE O +7=8 – 0 3x + 2 = 25 81 si - 3 = 6 3 = V 2x - 3= 15

Answers

Equations with solution x = 9 are:

81/x - 3 = 6

2x - 3 = 15

Explanation:

To determine the equation whose result ives x = 9, we need to solve each of the equation in the question

a) 4 + 5x = 18

5x = 18 - 4

5x = 14

x = 14/5

This is not x = 9 (option is wrong)

b) 24 - 2x = 13

24 - 2x + 2x = 13 + 2x

24 = 13 + 2x

24 - 13 = 2x

11 = 2x

x = 11/2

This is not x = 9 (option is wrong)

c) x/3 + 7 = 8

x/3 = 8 - 7

x/3 = 1

x = 3(1) = 3

This is not x = 9 (option is wrong)

d) 3x + 2 = 25

3x = 25 - 2

3x = 23

x = 23/3

This is not x = 9 (option is wrong)

e) 81/x - 3 = 6

81/x = 6 + 3

81/x = 9

81 = 9x

x = 81/9

x = 9

This equation has the sloution x = 9

f) 2x - 3 = 15

2x = 15 + 3

2x = 18

x = 18/2

x = 9

This equation has the sloution x = 9

Alvin's
age Is three times Elga's age. The sum of their ages Is 96. What Is Elga's age?
years old

Answers

Answer: Elga is 16 years old

Step-by-step explanation: so first you divide 96 by 2 and get 48, 48 divided by 3=16,

please mark brainliest if this helps :)

Answer: 24 years old

Work Shown:

x = Elga's age

3x = Alvin's age since he is 3 times older

x+3x = 4x = sum of their ages

4x = 96

x = 96/4

x = 24 is Elga's age

3x = 3*24 = 72 is Alvin's age

Check: 24+72 = 96 which confirms the answer.

In a survey of 1,900 people who owned a certain type of car, 855 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?

Answers

Answer: 45%

Step-by-step explanation: 45% of 1,900 is 855

A store owner mixes 2 lbs of candy that cost x dollars pound with 3 lb of candy that costs $1.50 per pound. she sells the mix for $2.50 per pound. how much did the 3lb of the second type cost the owner?

Answers

Algebraic equations are mathematical equations that consist of unknown variables. These unknown variables can be represented with any letter of the alphabet.

The cost of 2 pounds(lb) of the first type of candy is $8

Note that: x represents the cost per pound (lb) of the first type of candy

The Algebraic equation for the above statement is given as:

2lb × $x + 3 Ib × $1.50 = $2.50(2lb + 3lb)

2x + 4.5 = 12.5

Collect like terms

2x = 12.5 - 4.5

2x = 8

Divide both sides by 2

2x/2 = 8/2

x = 4

The cost of the 1 pound of first type of candy is $4

The cost of 2 pounds(lb) of the first type of candy is calculated as:

2 x $4

= $8

hope it will be helpful

In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by quantity y plus 16 end quantity squared over 400 plus x squared over 144 equals 1 and Comet H is modeled by quantity y plus 13 end quantity squared over 144 minus x squared over 25 equals 1 comma where all measurements are in astronomical units.

Part A: What are the vertices for the path of Comet E? Show your work. (4 points)

Part B: Which comet travels closer to the sun? Give evidence to support your answer. (5 points)

Part C: What key feature does the sun represent for both comets? Give evidence to support your answer. (6 points)

Answers

The vertices of the path of the comet E are; (-12,0) and (+12,0) as it is moving an elliptical path.

What are the vertices of the path of the comet E?

Comet 'E' is modeled by

((y + 16)²)/400 + (x²)/144 = 1

This is an equation of an ellipse. So, the path traveled by Comet E will be an elliptic path.

Comparing with the equation of ellipse;

((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1

whose; Centre is (h,k) and Vertex is (h±a, 0)

On Comparing Centre (h, k), h= 0 and k = -16,

a²=144

a = 12

b²=400

b=20

So, Centre (0, -16),

The Vertex (-12,0) and (+12,0)

So, the vertices of the path of the comet E are; (-12,0) and (+12,0).

Part B: The path of Comet H has been modeled as; a horizontal hyperbola.

Thus, The Comet H travels closer to the sun.

Part C: The sun represents the one of the foci of both the Comet E and Comet H.

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Congruent triangles
Please answer this question

Answers

A.Congruent triangles)

Given f(x) = -x - 1, find ƒ (1).

Answers

Answer:

You've gotta be kidding me...It's easy come on

-2 is the answer

Step-by-step explanation:

f(x)= -x-1 JUST SUBSTITUTE 1 FOR X

f(1)= -(1)-1

f(1)= -2

write the polynomial in standard given the following zeros: x=0,i\sqrt(2),-i\sqrt(2)

Answers

The polynomial is x³ + 2x

If the zeros or roots of the polynomial are given, then the standard form of the polynomial can be found.

That is, a, b and c are roots of the polynomial, then the polynomial will be of degree 3 since 3 zeros are there and the factors of the polynomial will be , x-a, x-b and x- c.

Then the polynomial is, (x-a)(x-b)(x- c) = x³-(a+b+c)x-abc

Here the zeros of the polynomial are x = 0, x = i√2 and x = -i√2.

So the factors of the polynomial are (x-0), (x - i√2) and (x +i√2).

Hence the polynomial is , (x-0) (x - i√2)(x +i√2) = x(x²+2) = x³ + 2x

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Draw the graph of each circle given its equation below.

Answers

Step 1:

First, write the general equation of a circle

[tex]\begin{gathered} (x-a)^a+(y-b)^2=r^2 \\ r\text{ is the radius} \\ (a,\text{ b) is the center} \end{gathered}[/tex]

Step 2:

Question 1

[tex]\begin{gathered} x^2+y^2\text{ = 121} \\ x^2+y^2=11^2 \\ \text{radius r = 11} \\ \text{center = (0 , 0)} \end{gathered}[/tex]

Question 2

[tex]\begin{gathered} (x-2)^2+y^2\text{ = 64} \\ (x-2)^2+y^2=8^2 \\ \text{Center = (2, 0)} \\ r\text{ = 8} \end{gathered}[/tex]

Question 3

[tex]\begin{gathered} (x\text{ + }\frac{3}{2})^2\text{ + (y + }\frac{5}{8})^2\text{ = 36} \\ (x\text{ + }\frac{3}{2})^2\text{ + (y + }\frac{5}{8})^2\text{ = }6^2 \\ \text{Center = (-}\frac{3}{2}\text{ , -}\frac{5}{8}) \\ r\text{ = 6} \end{gathered}[/tex]

Question 4

[tex]\begin{gathered} (x-1)^2+(y+7)^2\text{ = 9} \\ (x-1)^2+(y+7)^2\text{ = }3^2 \\ \text{Center = (1, -7)} \\ r\text{ = 3} \end{gathered}[/tex]

Question 5

[tex]\begin{gathered} (x+8)^2+(y-3)^2\text{ = 7} \\ (x+8)^2+(y-3)^2\text{ = (}\sqrt[]{7})^2 \\ \text{Center = (-8, 3)} \\ \text{radius r = }\sqrt[]{7} \end{gathered}[/tex]

ABC is rotated 90° counterclockwise around the origin to form A'B'C'. Then
AA'B'C' is dilated using a scale factor of with a center of dilation at vertex A'
to form A"B"C". What are the coordinates of A"B"C"? Show your work.

Answers

The coordinates of A"B"C" are as follows :

A = 1 1/2,3

B = 1 1/2,0

C = -4 1/2, 3.

What are coordinates?

Using one or more numbers, or coordinates, a coordinate system in geometry establishes a unique way to locate points or other geometrical objects on a manifold, such Euclidean space. a group of numbers representing a precise place. On graphs, there are typically two numbers: the first one indicates the length along, and the second one indicates the length up or down. For instance, the value of the point (12,5) is 12 units. In general, alphanumeric characters are used to express GPS coordinates, which are a distinctive identifier of a certain geographic location on the globe. Points of intersection in a grid system are referred to as coordinates in this context. Typically, the latitude and longitude coordinates are used to represent GPS coordinates.

Five units up and along.

90degrees clockwise is x, y, y, -x.

A = 1,2

B = 1,0

C = -3, 2.

Times everything by 3/2 now.

A = 1 1/2,3

B = 1 1/2,0

C = -4 1/2, 3.

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At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.

F represents the fee (in dollars) for climbing d meters.

F=110+0.12d
What is the increase in price for every 100 meters climbed?

Answers

Answer:

$12

Step-by-step explanation:

You want to know the price increase per 100 meters if the fee for climbing d meters is ...

f = 110 + 0.12d

Rate of change

The rate of change indicated by the coefficient of d in the equation is 0.12 for each unit of d. Then the amount of change for 100 units of d is ...

0.12(100) = 12

The price increases by $12 for every 100 meters climbed.

<95141404393>

3=british paintings
t=painting from 2th century
b=british paintings
a painting is chosen at random
work out the probability that it is british

Answers

The probability of choosing a painting random and it is British is 0.50.

Given,

The total number of paintings = 30

Then,

x (x - 2) + x + (2x - 8) + 10 = 30x = 3

T = Painting from 20th century

B = British paintings

We have to find the probability of choosing a painting random and it is British.

Here,

Probability = British/ Its from 20th century

Probability = n (B and T) / n(T)

= x / (x + x(x-2))

= 3 / (3 + 3(3 - 2))

= 3 / (3 + 9 - 6)

= 3 / 6 = 1/2 = 0.5

Here, the probability of choosing a painting random and it is British is 0.50.

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Dracula needs to mix 4 quarts of liquid iced tea concentrate with 5.5
quarts of water to make iced tea. He wants to make 66.5 quarts of
iced tea. How much iced tea concentrate will he need?

Answers

28 quarts.

First find out how many quarts of iced tea are made from 4 quarts of concentrate and 5.5 quarts of water. Then set up a proportion to solve for the amount of concentrate required for 66.5 quarts of iced tea.

See details:

Solve for X.
Help please!!!

Answers

Answer:

x=17

Step-by-step explanation:

2x-3+3x+8=90

5x=85

x=17

C is the center of the circle with a diameter whose endpoints are the points A(-2, 1) and B(6, 9).
What is the equation of circle C?

Answers

well, the midpoint of segment AB is the center of the circle, so

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{6}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 6 -2}{2}~~~ ,~~~ \cfrac{ 9 +1}{2} \right) \implies \left(\cfrac{ 4 }{2}~~~ ,~~~ \cfrac{ 10 }{2} \right)\implies \stackrel{center}{(2~~,~~5)}[/tex]

now since we know AB is the diameter, so half that distance AB is its radius, so

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{6}~,~\stackrel{y_2}{9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}[/tex]

[tex]AB=\sqrt{(~~6 - (-2)~~)^2 + (~~9 - 1~~)^2} \implies AB=\sqrt{(6 +2)^2 + (9 -1)^2} \\\\\\ AB=\sqrt{( 8 )^2 + ( 8 )^2} \implies AB=\sqrt{ 64 + 64 } \implies AB=\sqrt{ 128 } \\\\\\ AB=8\sqrt{2}\hspace{5em}\stackrel{\textit{half that is the radius}}{\cfrac{8\sqrt{2}}{2}\implies 4\sqrt{2}\implies \sqrt{32}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{2}{h}~~,~~\underset{5}{k})}\qquad \stackrel{radius}{\underset{\sqrt{32}}{r}} \\\\\\ (x-2)^2~~ + ~~(y-5)^2~~ = ~~(\sqrt{32})^2\implies {\large \begin{array}{llll} (x-2)^2~ + ~(y-5)^2~ = ~32 \end{array}}[/tex]

(3,-8) with a slope of -1

Answers

Answer:

See below

Step-by-step explanation:

Point slope form

y - - 8 = (-1)(x -3) re-arrange

y + 8 = -x+3

y = -x - 5

Use the table to answer the question. HELP PLS

Number of cases ordered

1

3

5

10

Number of rolls of paper towels

12

36

60

120.

A restaurant is placing an order for paper towels. The data table shows the amount of paper towel rolls compared to the number of cases. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair.

Answers

The constant of proportionality when the restaurant is placing an order for paper towels is 12.

How to calculate the value?

It should be noted that the constant of proportionality simply means the ratio that is important to show the proportional relationship between the two given values.

This will be illustrated as:

y = kx

y = Number of paper roll

x = Number of cases ordered

From the table, this will be:

y = kx

12 = k × 1

k = 12

Therefore, the constant of proportionality is 12.

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The cost of Sara’s Cell Phone is $200 plus $45 per month.

How much will she spend on the cell phone in 3 years?

…. If Sara spent $1500, how long would she have had the phone?

(Use Cost ((y=mx+b))

Answers

1. 1,820
2. Around 29 months

Answer: The cost of her phone is $1,820.

45*12=540 per year

540*3=1,820 every 3 years.

She would have had the phone between 2 and 3 years if she had spent 1,500.

Find the distance between each pair of points.
M(-4,9) N(-5,3)

Answers

Distance formula: root of (y2-y1)^2 + (x2-x1)^2

Root of (3-9)^2 + (-5-(-4))^2

Root of (-6)^2 + (-1)^2

Root 36+1

Distance= root of 37

please help asap
during a snow storm the temperature drops from 0 degress f to - 12 degress f in 3 hour. on averge by how many degress is the temperature changing per hour?

A, -4f

B. 12f

C. 15f

D. -9f

Answers

The average change per hour is: -4 F/h

So the temperature decreases by 4 degrees Fahrenheit each hour.

How to get the average change in temperature?

To get the average change in degrees per hour, we need to take the quotient between the change in temperature and the number of hours in which this happens.

We know that initially the temperature is 0F

The final temperature is -12F

and this happens on an interval of 3 hours, then the average change per hour is:

(-12F - 0F)/3h = -12F/3h = -4 F/h

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Write $5 and $8 in algebra expression

Answers

Answer:

5+8=x

step by step explanation

Allison's math teacher asked her to write an irrational and rational number. She wrote the following numbers √46 Rational and 5.25 Irrational. Explain if you agree with Allison's identification of rational and irrational numbers.
If you disagree, provide an example of an irrational and rational number.

Answers

I disagree with Allison. The reason for this is because the square root of 46 is not a perfect square, making the equation irrational. 5.25 is rational because it terminates.

An example of a rational number would be √81. This would be rational because this is a perfect square; 81 / 9 = 9, so √81 = 9.

An example of an irrational number would be “7.2534910552…”. This number would be irrational because there’s no repeating pattern within the decimal and it doesn’t terminate.

x = -4z - 19
y= 5x + z - 4
-5y - z = 25

Answers

Answer:

x = 1, y = -4, z = -5

Step-by-step explanation:

Solve the following system:

{x = -4 z - 19 | (equation 1)

{y = z + 5 x - 4 | (equation 2)

{-z - 5 y = 25 | (equation 3)

Express the system in standard form:

{x + 0 y + 4 z = -19 | (equation 1)

{-(5 x) + y - z = -4 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 1 with equation 2: