Mathematics College

Solve the system of equations using elimination. 2x + y = 9 8x – 2y = 6

Answers

Answer 1
(1) 2x + y = 9
(2) 8x – 2y = 6

You can eliminate the x or the y. I am going to eliminate the y

First multiply the first equation 2x + y = 9  by 2.
2x + y = 9
2(2x + y = 9)
4x +2y = 18
Now we have a new equation that we can use and we can eliminate the y from the other equation because +2y - 2y = 0. Lets do that now and solve for  x.

4x +2y = 18
8x – 2y = 6
12x = 24
12x / 12 = 24 / 12
x = 2
So we found the value of x, which is 2. To find y, insert 2 into one of the original equations. I am going to use 2x + y = 9
2x + y = 9
2(2) + y = 9
4 + y = 9
-4 + 4 + y = 9 - 4
y = 9 - 4
y = 5
y = 5.

Our point is at (x, y) = (2,5)
x = 2
y = 5

Related Questions

Since Jenna's heart rate is 60 beats per minute, if her heart has beat 604,800 times, how many days since she was born?

Answers

seven days since she was born
Final answer:

By calculating the number of heartbeats in a day (based on the heart rate of 60 bpm) and dividing the total number of heartbeats by that value, we can estimate that Jenna is 7 days old.

Explanation:

The subject of this question is Mathematics, and it's suitable for high school grade level. To find out the number of days Jenna has lived using her heartbeats, you first need to calculate how many beats her heart makes in one day. Knowing that her heart rate is 60 beats per minute, we can calculate the number of beats in one hour by multiplying by 60 (number of minutes in one hour). So in one hour, we get 60 * 60 = 3600 beats. In 24 hours (one day), the heart will beat 3600 * 24 = 86,400 times. So, if Jenna's heart has beat 604,800 times in her life, we divide that number by the number of beats in one day to find out the number of days: 604,800 / 86,400 = 7 days. Therefore, Jenna is 7 days old.

Learn more about Heartbeat time calculation here:

https://brainly.com/question/24149245

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What is the center of a circle whose equation is x^2+y^2-12x-2y+12=0

Answers

First things first! Put the equation into standard form for a circle: 
(x-H)² + (y-K)² = r² where (H, K) are the coordinates for the center of the circle and r is the radius. You can do this by completing the square for both x and y terms: 
x² + y² - 12x - 2y + 12 = 0
x² + y² - 12x - 2y = -12
x² - 12x + y² - 2y = -12 
To complete the square take half of the x-term and square it then add it to both sides of the equation. So take half of -12 which is -6, square it: -6² = 36 and add it to both sides. 
x² - 12x + 36 + y² - 2y = -12 + 36 
Do the same for y: 
x² - 12x + 36 + y² -2y + 1 = -12 + 36 + 1 
Now reduce each perfect square polynomial to squared form by remembering the FOIL rule for factoring:
(Ax + B)(Cx + D)
First + Outer + Inner + last
A²x² + ADx + BCx + D² 
Now just work backwards and figure out what terms multiply to give you the trinomial you have. Let's start with the x :
x² - 12x + 36
Looks like 36 is perfect square of 6 and the negative sign in the middle term indicates subtract 6, so x - 6. Check it! 
(x - 6)² = x² - 3x - 3x + 36 = x² - 6x + 36 
Yes, it works! Now the y : 
y² - 2y + 1 
This looks good too since 1 is a perfect square:
(y - 1)² = y² - 1y - 1y + 1 = y² - 2y + 1
Perfect! 
Now put it back into the equation:
x² - 12x + 36 + y² - 2y + 1 = -12 + 36 + 1
(x - 6)² + (y - 1)² = -12 + 36 + 1 
Simplify the right: 
(x - 6)² + (y - 1)² = 25 
Beautiful! The equation of the circle! The center is (6,1) with radius 5. Now we can attack the parts in the question. 
(a) First part asks us to find point B, knowing point A is (3,-3) and that AB is a diameter of the circle. Since we know the coordinates of the center and the fact that a diameter is just a line that goes through the center, we have 3 points on the line: A, B, and the center. We can just realize that the point B is equidistant and exactly opposite the point A with respect to the center. So let's find the difference between point A and the center, and move that distance to get to B: 
center - A = (1 - -3) / (6 - 3) = (1 + 3) / (6 - 3) = 4 / 3 

What is the missing number in this pattern? 1, 1, 2, 3, 5, 8, 13,

Answers

the next number would be 8+13 = 21

Jesse has a piece of wood that is 8 feet long. he needs to cut pieces that are 7/8 of a foot long. how many pieces will he be able to make

Answers

He will be able to make 9.

sum of the interior angle measures of the polygon with 9 sides

Answers

Hello There!

The sum of interior angles for any polygon is:
(n - 2) x 180
Where 'n' is the number of sides.
In this case, the polygon is a nonagon, which has 9 sides.
Substitute the value in:
(9 - 2) x 180 = ?
Solve:
Sum of interior angles = 1260°.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

Answer: 1260

Step-by-step explanation:

G evaluate lim h → 0 (1 + h)9 − 1 h . hint: this limit represents the derivative of a function f at a given point
a. find f and a, and then evaluate the derivative.

Answers

[tex]\displaystyle\lim_{h\to0}\frac{(1+h)^9-1}h[/tex]

Write [tex]1=1^9[/tex], and recall that for a differentiable function [tex]f(x)[/tex], the derivative at a point [tex]x=a[/tex] is given by

[tex]f'(a)=\displaystyle\lim_{h\to0}\frac{f(a+h)-f(a)}h[/tex]

which would suggest that for this limit, [tex]f(x)=x^9[/tex] and [tex]a=1[/tex]. We have [tex]f'(x)=9x^8[/tex], and so the value of the limit would be [tex]9(1)^8=9[/tex].

6-4. find p(x = 4) if x has a poisson distribution such that 3p(x = 1) = p(x = 2)

Answers

A random variable [tex]X[/tex] following a Poisson distribution with rate parameter [tex]\lambda[/tex] has PMF

[tex]f_X(x)=\dfrac{e^{-\lambda}\lambda^x}{x!}[/tex]

We're given that [tex]3\mathbb P(X=1)=\mathbb P(X=2)[/tex], so

[tex]\dfrac{3e^{-\lambda}\lambda^1}{1!}=\dfrac{e^{-\lambda}\lambda^2}{2!}[/tex]
[tex]\implies3\lambda=\dfrac{\lambda^2}2[/tex]
[tex]\implies\lambda^2-6\lambda=\lambda(\lambda-6)=0[/tex]

[tex]\lambda[/tex] must be positive, so we arrive at [tex]\lambda=6[/tex], which means

[tex]\mathbb P(X=4)=\dfrac{e^{-6}6^4}{4!}=\dfrac{54}{e^6}\approx0.1339[/tex]

How are the rules for division of signed numbers similar to the rules for multiplication of signed numbers?

Answers

Multiplication and Division of Integers. Multiply or divide, if the signs are same
like the sign of the product or quotient will be positive. Multiply or divide, if the signs aredifferent unlike the sign of the product or quotient will be negative

Final answer:

The division and multiplication of signed numbers follow the same sign rules: two positive numbers yield a positive result, two negatives give a positive, and a pair of numbers with different signs results in a negative outcome.

Explanation:

The rules for the division of signed numbers are similar to the rules for multiplication of signed numbers. Both operations follow the same pattern concerning the signs of the numbers involved:

When two positive numbers are involved, the result is positive (e.g., [tex]\frac{2}{1} = 2[/tex] or 2 x 1 = 2).

When two negative numbers are involved, the result is also positive (e.g., [tex]\frac{-2}{-1} = 2[/tex] or (-4) x (-3) = 12).

When one positive and one negative number are involved, irrespective of the operation, the result is negative (e.g., [tex]\frac{-3}{1} = -3[/tex] or (-3) x 2 = -6).

Therefore, both division and multiplication of signed numbers primarily depend on the signs of the numbers to determine the sign of the answer.

Tickets for rides at the fair cost $0.75 each you can also buy a roll of 25 tickets for $15 what is the cost of each ticket if you buy a roll of tickets

Answers

You get 25 tickets for $15

all you need to do is take the cost and divide it by the number of tickets.

$15 ÷ 25 tickets = $0.60 per ticket

Final answer:

The cost per ticket when buying a roll of 25 tickets for $15 at the fair is $0.60, which is less than the single ticket price of $0.75.

Explanation:

The student has asked about the cost of each ticket if bought in a roll at a fair. To find the cost per ticket when purchasing a roll of 25 tickets for $15, you simply divide the total cost of the roll by the number of tickets in the roll.

Cost per ticket = Total cost of the roll / Number of tickets in the roll

Cost per ticket = $15 / 25

Cost per ticket = $0.60

Therefore, when buying a roll of tickets, the cost of each ticket is $0.60, which offers a saving compared to the single ticket price of $0.75.

Please help me to Evaluate P(6,2)

Answers

The value of the permutation [tex]_6P_2[/tex] equals 30.

The notation P(n,r) represents the number of permutations of r elements taken from a set of n distinct elements.

The formula for permutations is expressed as:

[tex]P(n,r) = \frac{n!}{(n-r)!}[/tex]

Given the permutations:

[tex]_6P_2[/tex]

n = 6 and n = 2:

Plug these into the above formula:

[tex]P(n,r) = \frac{n!}{(n-r)!}\\\\P(n,r) = \frac{6!}{(6-2)!}\\\\P(n,r) = \frac{6!}{4!}\\\\P(n,r) = \frac{6*5*4*3*2*1}{4*3*2*1}\\\\P(n,r) = \frac{6*5}{1}\\\\P(n,r) = 30[/tex]

Therefore, the value of [tex]_6P_2[/tex] is 30.

suppose a compact car uses 1 gallon of fuel for every 27 miles traveled. How would the graph for the compact car compare to the graph for the car shown?

Answers

The answer to the question is it would add twenty seven every two times it goes up

Answer:

1. The meaning of (2, 40) is that - when 2 gallons of fuel is used, then the distance covered will be 40 miles.

2. Equation will be :

[tex]y=20x[/tex]

where y is the total distance in miles and x is the number of gallons used.

3. When we have to tell as per graph, that the car travels 27 miles in 1 gallon, the points will be : (1,27) , (2,54) , (3,81) and so on.

READ THE PICS AND JUST SAY ABCD THANKS

Answers

(2g⁵)³ / (4h²)³
Since power ³ is outside parenthesis, you should put the power to each expression inside parenthesis as below
2³(g⁵)³ / 4³(h²)³
in the multiplication of exponents, you add the indices
8(g⁵⁺³) / 64(h²⁺³)
8g⁸ / 64h⁵
it simplifies into 
1g⁸ / 8h⁵
Your answer is D) g⁸ / 8h⁵

An omelet station uses 3 eggs to make each omelet. What is the cost for the total number of eggs in a single omelet if a case of 30 dozen eggs has an as-purchase cost of 32.40?

Answers

I think it's 0.27 (3*32.40/360)

can someone please help with transformations of parent functions

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

that said, compressing vertical |x| by  a factor of 4, means A = 4, thus is 4|x|.

What is the unit rate of 1,700 in 40 minutes

Answers

the unit rate of 1700/40 would be 42.5 hope this helped:)

Evaluate the line integral c y3 ds,
c.x = t3, y = t, 0 ≤ t ≤ 3

Answers

[tex]\displaystyle\int_{\mathcal C}y^3\,\mathrm dS=\int_{t=0}^{t=3}t^3\sqrt{1^2+(3t^2)^2}\,\mathrm dt=\int_0^3t^3\sqrt{1+9t^4}\,\mathrm dt[/tex]

Take [tex]u=1+9t^4[/tex] so that [tex]\mathrm du=36t^3\,\mathrm dt[/tex]. Then

[tex]\displaystyle\int_{\mathcal C}y^3\,\mathrm dS=\frac1{36}\int_{u=1}^{u=730}\sqrt u\,\mathrm du=\frac{730^{3/2}-1}{54}[/tex]

Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no other deposits or withdrawals, how much money is in Javier’s account at the end of three months?

Answers

7.50*3 = 22.50
305 - 22.50 = 282.50

Answer: [tex]\$282.5[/tex]

Step-by-step explanation:

Given : Javier had $305 in his bank account.

His bank charges a fee of $7.50 each month that a balance is below $500.

If he makes no other deposits or withdrawals, then the amount of deductions  in Javier’s account at the end of three months will be :-

[tex]\$7.50\times3=\$22.5[/tex]

Now, the amount of money in Javier’s account at the end of three months :-

[tex]\$305-\$22.5=\$282.5[/tex]

Find a pair of 3 digit numbers that have an estimated difference of 520

Answers

The three digit number is such that it takes the general form of,
     100x + 10y + z
where x is the hundreds digit
           y is the tens digit, and 
           z is the ones digit

If we have one of the three digit numbers as 100 (being the smallest), we determine the second number by adding 520 to 100 which gives us an answer of,
       620

Therefore, one pair of these numbers is 620 and 100. 

To find a pair of 3 digit numbers with an estimated difference of 520, we can start with any 3 digit number and add or subtract 520. The pair 1000 and 480, or 950 and 430, for example, both have an estimated difference of 520.

To find a pair of 3 digit numbers that have an estimated difference of 520, you can choose any 3 digit number and then either add or subtract approximately 520 to find the second number. For instance, if you choose 1000 as a starting number, you could subtract 520 to get 480. Thus, the pair of numbers 1000 and 480 have an estimated difference of 520. It is important to choose numbers that when rounded to the nearest hundred, give an exact difference of 520. For example, 950 and 430 is another valid pair since 950-430=520. Remember that the difference is the result of subtracting the smaller number from the larger one.

Use a surface integral to find the general formula for the surface area of a cone with height latex: h and base radius latex: a(excluding the base).

Answers

We can parameterize this part of a cone by

[tex]\mathbf s(u,v)=\left\langle u\cos v,u\sin v,\dfrac hau\right\rangle[/tex]

with [tex]0\le u\le a[/tex] and [tex]0\le v\le2\pi[/tex]. Then

[tex]\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=\sqrt{1+\dfrac{h^2}{a^2}}u\,\mathrm du\,\mathrm dv[/tex]

The area of this surface (call it [tex]\mathcal S[/tex]) is then

[tex]\displaystyle\iint_{\mathcal S}\mathrm dS=\sqrt{1+\frac{h^2}{a^2}}\int_{v=0}^{v=2\pi}\int_{u=0}^{u=a}u\,\mathrm du\,\mathrm dv=a^2\sqrt{1+\frac{h^2}{a^2}}\pi=a\sqrt{a^2+h^2}\pi[/tex]

Final answer:

The surface area of a cone with height h and base radius a, excluding the base, is found using the lateral surface area formula A = π · a · l, where l is the slant height given by √(a² + h²).

Explanation:

To find the general formula for the surface area of a cone with height h and base radius a using a surface integral, excluding the base, we consider the lateral surface area of the cone. This is given by the integral along the slant height of the cone. To derive the formula, the slant height, l, can be found using the Pythagorean theorem, since the triangle formed by the slant height, radius of the base, and the height of the cone is a right triangle. The relationship is given by l = √(a² + h²).

The lateral surface area A can then be expressed as A = π · a · l. Substituting for the slant height, we get A = π · a · √(a² + h²), which is the desired formula.

This formula assumes that the cone is a right circular cone and the lateral surface is a smooth curve.

Complete this item.

For the following figure, can you conclude that l | | m? Select true or false.

Answers

False because that’s unlegibel

Answer: False. Both angles are not equal therefore the lines l and m are not parallel.

will mark brainliest!!
solve this system of linear equations. separate the x- and y- values with a coma. 9x=27-9y
20x=71-9y

Answers

Solve the system

9x = 27-9y
20x=71-9y

Let's use the "elimination through addition/subtraction method.
Multiply the first equation by -1 so as to obtain +9y:

-9x = -27 + 9y
20x=  71-   9y
--------------------

Add these 2 equations together:

-9x = -27 + 9y
20x=  71-   9y
--------------------
 11x = 44

Solve this for x:  x = 44/11 = 4.

Now find y by subst. 4 for x in either of the original equations.

Using the second equation:     

20x=71-9y
20(4) = 71 - 9y
80-71 = -9y
9 = -9y.  Then y = -1.

The solution set is (4,-1).

A full container of juice holds 64 fluid ounces.How many 7 fluid ounce servings of juice are in a full container?

Answers

there is 9 serving of 7 fluid ounces with a remainder of 1 fluid ounce 




if you meant 8 fluid ounce servings then it would be 8 servings with no remainder 

You need 1 1 4 114 cups of sugar to make 20 cookies. How many cups of sugar will you need to make 14 cookies?

Answers

[tex]\bf \begin{array}{ccll} \stackrel{cups}{sugar}&cookies\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 114&20\\ s&14 \end{array}\implies \cfrac{114}{s}=\cfrac{20}{14}\implies \cfrac{114\cdot 14}{20}=s[/tex]

Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t be time.) There are presently 450 cases of Bangkok flu, and the number is growing by 10 new cases every month.
dn/dt=

Answers

Final answer:

To represent the growth of Bangkok flu cases over time mathematically, the derivative dn/dt equals 10, indicating a constant increase of 10 cases per month.

Explanation:

To rewrite the statement in mathematical notation where n is the number of cases of Bangkok flu and t is time, we will express the changing number of cases as a function of time. Given that there are currently 450 cases and the number of cases is growing by 10 every month, we would write the instantaneous rate of change of the number of cases with respect to time as dn/dt = 10.

This is because the phrase 'growing by 10 new cases every month' implies a constant rate of growth over time, which is directly translated into a derivative in mathematical terms. In more complex scenarios, rates of growth could follow a pattern that might be represented by a function of t. However, in this case, the growth is linear and constant, which simplifies to the derivative being equal to the rate of growth: 10 cases per month.

Jimmys school is selling tickets to annual dance competition. On the first day of tickets sales the school sold 12 adult tickets and 5 child tickets for a total of $93. The school took in $106 on the second day by selling 4 adult tickets and 10 child tickets. Find the price of an adult ticket and the price of a child ticket.

Answers

adult - $4
child - $9 

Determine which of these relations are transitive. the variables x, y, x', y' represent integers.

Answers

Answer: A. xâĽy if and only if xy is positive. B. xâĽy if and only if x+y is even. C. xâĽy if and only if xâ’y is a multiple of 10. D. xâĽy if and only if xâ’y is positive. E. xâĽy if and only if x+y is odd. A. xy is positive, so xy>0. So if x >=1, then (x,x) is satisfied. True B. If x+y is even, then x and y are both even or both odd. So odd(1,1) is even and even(2,2) is even. Therefore true C. x-y is a multiple of 10, but x-x is always 0, so its false. D. x-y is positve, but if x(1) and y(0) then (x,x) is 0, not positive, therefore false. E. x+y is odd therefore x is odd and y is even, or x is even and y is odd. But even + even, and odd + odd is always even. Therefore false.

Present 5 mixed numbers that add up to the whole number 10.

Answers

5 1/3 + 4 2/3 = 10
4 1/3 + 5 2/3 = 10
6 1/4 + 3 3/4 = 10
9 3/5 + 2/5 = 10
2 8/10 + 7 1/5 = 10

hope this helps

a chicken salad recipe calls for 1/8 pound of chicken per serving. How many pounds of chicken are needed to make 8 1/2 servings?

Answers

(1/8)(8 1/2)=17/16. or 1 1/16 pounds

Answer:

[tex]\frac{17}{16} [/tex]pounds of chicken are needed to make[tex]8\frac{1}{2}[/tex] servings.

Step-by-step explanation:

Chicken required for 1 serving = [tex]\frac{1}{8}[/tex] pounds

Number of serving required for salad = [tex]8\frac{1}{2}=\frac{17}{2}[/tex]

Chicken required for [tex]8\frac{1}{2}[/tex] servings be x.

[tex]x=\frac{1}{8}\times \frac{17}{2} pounds[/tex]

[tex]=\frac{17}{16} pounds[/tex]

[tex]\frac{17}{16} [/tex]pounds of chicken are needed to make[tex]8\frac{1}{2}[/tex] servings.

Log_2(log_5 x) =3 show steps

Answers

Use the definition of a logarithm
If Log(x) = y ; then b^y = x

[tex]Log_{2} (Log_{5} (x)) = 3 \\ \\ 2^{3} = Log_{5} (x) \\ \\ 8 = Log_{5} (x) \\ \\ x = 5^{8} \\ \\ x = 390,625[/tex]

Answer:

[tex]\large \textsf{Read below}[/tex]

Step-by-step explanation:

[tex]\large \text{$ \sf log_2\:(log_5\:x) = 3$}[/tex]

[tex]\large \text{$ \sf log_2\:(log_5\:x) = log_2\:8$}[/tex]

[tex]\large \text{$ \sf log_5\:x = 8$}[/tex]

[tex]\large \text{$ \sf log_5\:x = log_5\:390,625$}[/tex]

[tex]\large \boxed{\boxed{\text{$ \sf x= 390,625$}}}[/tex]

John spent $24 of his savings on a watch and 1/5 of the remainder on a shirt. He still had 2/3 of his savings left. How much were his savings at first?

Answers

let's say he had "x" to start with.

how much is 1/5 of x?  well is just (1/5)x or just x/5.

how much is 2/3 of x? well, is just (2/3)x or 2x/3.

we know those sum will add up to "x", let's check then.

[tex]\bf \stackrel{shirt}{\cfrac{x}{5}}+\stackrel{watch}{24}+\stackrel{leftover}{\cfrac{2x}{3}}=x\impliedby \begin{array}{llll} \textit{multiplying all by the \underline{LCD of 15}}\\\\ \textit{to get rid of the denominators} \end{array} \\\\\\ \boxed{15}\cdot \cfrac{x}{5}+\boxed{15}\cdot 24+\boxed{15}\cdot \cfrac{2x}{3}=\boxed{15}\cdot x\implies 3x+360+10x=15x \\\\\\ 13x+360=15x\implies 360=15x-13x\implies 360=2x \\\\\\ \cfrac{360}{2}=x \implies 180=x[/tex]

Final answer:

To find John's original savings, we set up an equation based on the information given and solved for the total savings, which was found to be approximately $154.29.

Explanation:

John spent $24 on a watch and then 1/5 of the remainder of his savings on a shirt. After these purchases, he had 2/3 of his savings left. To determine John's original savings, let's represent his total savings as S. After purchasing the watch, John had S - $24 remaining. He then spent 1/5 of this remainder on a shirt. After buying the shirt, 2/3 of his savings was left, which can be represented by the equation:

2/3 * S = (S - $24) - 1/5 * (S - $24)

Now, we can solve for S, by first distributing the 1/5 on the right-hand side of the equation:

2/3 * S = (S - $24) - 1/5 * S + 24/5

Then, we combine like terms:

(2/3 - 1/5) * S = $24 - 24/5

To combine the fractions, find a common denominator, which in this case is 15:

(10/15 - 3/15) * S = 96/5 - 24/5

(7/15) * S = 72/5

Finally, we multiply both sides of the equation by the reciprocal of 7/15 to solve for S:

S = (72/5) * (15/7)

S = (72*15)/(5*7)

S = $154.29

Therefore, John's original savings was approximately $154.29.

Other Questions
Reuben bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 9.5% per year. The total finance charges for one year were $303 . How much did each computer cost before finance charges? Does a negative minus a negative equal positive Which best identifies the use of a participle A) we've KNOWN them for 10 years!B)Through the years, she's been known by many names.C)All of the childern have known him since chrismas.D)Harold,known to you as Dr.Mortimer, is coming to dinner on tuesday. What is the spoils system? Simplify 7t s 3rt.10rst10rst221rst2 What is quenching occurs in a chemiluminescence reaction? Which best describes the central conflict in "ambush"? Can somebody please approximate 237+2 to the nearest whole number? Thanks. :-) What supports Wegener's theory of the continental drift? A.Different continents had different rock typesB.The earths rotation could provide enough force to move continents apartC.Identical fossils were found on continents that were far apart D.Each continent had mountain ranges BIO HELP! 20PTS1. A plasma membrane and a cell wall:-are two names for the same thing-have the same structure and different functions-have different structures and the same function-have different structures and different functions2. Of the five transport mechanisms, which one will the cell utilize if the substance being transported is insoluble?-active transport-passive transport-pinocytosis-facilitated diffusion-phagocytosis3. The natural tendency of molecules to move from higher to lower concentrations is _____.- diffusion-solubility-transport-dissolution-fermentation4.Why do O2 and CO2 pass through the plasma membrane?they are nonpolar and solublethey are facilitated by proteinthey are "pumped" throughthey undergo pinocytosis5. Which statement(s) corresponds to cellular respiration? (can be multiple answers)-CO2 diffuses passively into the cell-CO2 diffuses passively out of the cell-CO2 must be pumped out of the cell-O2 diffuses passively when produced inside the cell-O2 diffuses passively and then is converted to CO2-O2 is pumped in and forces CO2 out6. The cell mechanism of "active transport" involves the transport of insoluble chemicals across the membrane with protein acting as the carrier.-True-False The _____ contains the pineal gland which secretes the hormone melatonin.thalamusepithalamushypothalamussubthalamus Which sentence is in passive voiceA. The sun beat down on the thirsty travelers.B. Carla went to the supermarket to get some supplies C. Jason baked a cake for his brother.D. These cookies will be eaten by my neighbors kid. If 3x+2y=11 and 2x+3y=17, what is the average of x and y?A- 2.5B- 2.8C- 5.6D- 5.8E- 14 carlos stands in front of his thursday night slam poetry group to recite his most recent work. he suddenly experiences temporary muscle paralysis but does not lose consciousness, a condition termed ____. The mother bought a pair of shoes. La madre compramos un par de zapatos.La madre compri un par de zapatos.La madre compr un par de zapatos.La madre compr un par de zapatos. What did president truman do in july 1948 to advance the cause of civil rights? Which detail from the story Hamadi by Naomi shahib Nye best supports the theme that humans carry on after encountering great difficulties? Specify the action of the deep muscle, which lies on the anterior surface of the humerus. which statements are true about the regular polygon? check all that apply. factor -1/3 out of 1/3y-3/2please help Steam Workshop Downloader