MATHEMATICS HIGH SCHOOL

Alex and Jackson are brothers who are selling mums for a football fundraiser. Together they have sold 37 mums. If Alex has sold 19 more mums than Jackson, how many mums has Jackson sold? Use X to represent the number of mums alex sold and y to represent the number of mums Jackson sold.
Alex and Jackson are brothers who are selling mums for - 1

Answers

Answer 1
Answer: Jackson has sold 18, that’s the only possibility.
Answer 2
Answer:

x = mums sold by Alex

y = mums sold by Jackson

\boxed{\begin{array}{llll} \stackrel{ \textit{together they've sold 37} }{x + y = 37} \n\n\n \stackrel{ \textit{Alex has sold}}{x} = \stackrel{ Jackson }{y} + 19 \end{array}}\hspace{5em} \begin{array}{llll} \stackrel{\textit{substituting on the 1st equation}}{(y+19)~~ + ~~y~~ = ~~37}\n\n 2y+19=37\n\n 2y=18\n\n y=\cfrac{18}{2}\n\n y=9 \end{array}

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Simplify each sum or difference. State any restrictions on the variables.19) (-3x)/(x^2 - 9) + 4/(2x-6)

Variable y varies directly with variable x, and y = 6 when x = 20.What is the constant of variation in decimal form?

Answers

In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3

Rose’s checking account has a balance of -$54. She makes no more withdrawals but deposits $15 per day in her account over the next 5 days. On the sixth day, she makes no deposits, but the bank charges a maintenance fee of $5. What is the balance in her account on the sixth day?

Answers

The amount in her bank account on the sixth day is $16 if Rose’s checking account has a balance of -$54. She makes no more withdrawals but deposits $15 per day in her account over the next 5 days.

What is the deposit?

A deposit by a payer into a payee's bank account is referred to as a direct deposit. Businesses most usually use direct deposits to pay salaries and wages, and they are typically made through electronic funds transfers or physical deposits into a payee's bank account.

We have:

Rose’s checking account has a balance of -$54. She makes no more withdrawals but deposits $15 per day in her account over the next 5 days.

Let x be the total amount in her bank account on the sixth day.

x = -54 + 5×15 - 5

x = -54 + 75 - 5

x = $16

Thus, the amount in her bank account on the sixth day is $16 if Rose’s checking account has a balance of -$54. She makes no more withdrawals but deposits $15 per day in her account over the next 5 days.

Learn more about the deposit here:

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#SPJ2
Her account balance on the sixth day is sixteen. This is because -54 +75 is 21 then you subtract 5 and get 16. (15 times 5 is 75) 

Which identifies all the integer solutions of |x| = 17?a. –17 and 17
b. 0 only
c. 17 only
d. –17 only

Answers

C because those are called absolute value bars. That means that 17 and -17 both have an absolute value (away from zero) of 17

Can you please help me I am struggling so much. what does n equal in this equation?-6 > n/15

Answers

Answer:

n  <  −90

Step-by-step explanation:

hope this helps and have a great day!

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=−5x^2+263x−1844

Answers

Answer: The maximum amount of profit the company can make is $1604.

Step-by-step explanation:

To find the maximum amount of profit the company can make, we need to determine the vertex of the quadratic equation y = -5x^2 + 263x - 1844. The x-coordinate of the vertex represents the selling price that will yield the maximum profit, and the y-coordinate represents the maximum profit itself.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a), where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c.

In this case, a = -5 and b = 263. Let's substitute these values into the formula:

x = -263 / (2 * -5)

Now, let's simplify the expression:

x = -263 / -10

x = 26.3

To find the maximum profit, we substitute the x-coordinate of the vertex into the equation:

y = -5(26.3)^2 + 263(26.3) - 1844

Now, perform the calculations:

y = -5(691.69) + 6906.9 - 1844

y = -3458.45 + 6906.9 - 1844

y = 1604.45

Therefore, to the nearest dollar, the maximum amount of profit the company can make is $1604.

Final answer:

Profit is a financial gain that occurs when the revenue from a company activity is more than the costs, costs, and taxes required to support the activity. To put it another way, profit is what is left over after all costs have been subtracted from revenue

Explanation:

The corporation can earn a maximum profitof $1,292 to the nearest dollar.

Using the given equation y = -5x² + 263x - 1844 we can utilise the procedures below to get the greatest profit the corporation may make:

1. Using the equation x = -b/2a, where a = -5 and b = 263, determine the x-coordinate of the parabola's vertex.

2. To determine the highest possible value of y, substitute this x value into the equation.

These actions result in:

\text{x} = (-b)/(2a) = (-263)/((2\cdot(-5))) = 26.3

When we enter this x value into the equation, we obtain:

\text{y} = -5(26.3)^2 + 263(26.3) - 1844\thickapprox \$3440

As a result, the corporation can earn a maximum profit of $3,440 to the nearest dollar.

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A driveway is 162 feet long,6 feet wide,and 4 inches deep.How many cubic feet of concrete will be required for the driveway

Answers

It's length times width times height.

162x4x6

The answer is 3888 cubic feet of concrete.
3888 if you are asking for the volume.
(One thing I'm not sure is 162 is the length, correct?)
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