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3 years ago

75 pts if you can awnser this

Mathematics

2 answers:

stellarik [79]3 years ago

7 0

Answer:

x = 4

Step-by-step explanation:

2.5x +6 = 3.25x +3

-2.5x -2.5x

6 = 0.75x +3

-3 -3

3 = 0.75x

divide by 0.75 both sides

4 = x

x = 4

kobusy [5.1K]3 years ago

5 0

Step-by-step explanation:

Madison gets an allowance of $6 every week. For every chore she does, her parents give her an extra $2.50 for that week. Daniel receives an allowance of $3 a week and gains $3.25 for every chore he does the same week. How many chores would have to be done by both of the children to earn the same amount of money?

2.5x + 6 = 3.25x + 3

Isolate the variable by:

subtracting 3 from both sides

2.5x + 3 = 3.25x

subtracting 2.5x from both sides

3 = 0.75x

divide 0.75 from both sides

4 = x

In terms of my example problem, the answer would be 4 chores

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The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \

Agata [3.3K]

Answer:

Maximum = 756

Minimum = 600

Step-by-step explanation:

A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.

And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:

(1 + 3 + 5 + 8 + 10) × (2 + 4 + 6 + 7 + 9) = 756

At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:

(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600

8 0

3 years ago

How do I prove that 2 cot 2x = cot x-tan x?

BlackZzzverrR [31]

We will start off working on the right hand side.
cot x - tan x 
= [cos x / sin x] - [sin x / cos x] 
= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] 

This is where it gets a bit tougher if you do not have your formula list with you. 
(cos x)^ 2 - (sin x)^2 = cos(2x) 
sin 2x = 2 sin x cos x 

Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x 

Hence, we will get: 
[(cos x)^ 2 - (sin x)^2] / [sin x cos x] 
= [cos 2x] / (1/2)[sin 2x] 
= 2[cos 2x] / [sin 2x] 
= 2cot 2x

7 0

3 years ago

an art dealer makes a 17.5% commission on every painting sold. If a painting sold for $1500, what was the commission

Aleksandr [31]

A percentage is a number out of 100. So, 17.5% is really 17.5/100, or 0.175.

To find 17.5% of 1500, you multiply 1500 by 0.175

1500 x 0.175 = 262.5.

The commission is $262.50.

4 0

3 years ago

The adjusted trial balance of Smith Sign Company follows:

Oksana_A [137]

Following are the general entry to the given question:

For Question 1:

Date Account Titles and Explanation Dr Cr

31-Jan-2024 Revenue Service $17,500

Summary of Income $17,500

(Finishing the revenue account)

31-Jan-2024 Summary of Income $7,100

Expense of Salary $3,600

Expense on rent $1,800

Expense of Depreciation - equipment $300

Expense on Supplies $400

Expense on Utilities $1,000

(To close the expenditure account)

31-Jan-2024 Summary of Income $10,400

Retained Earnings $10,400

(To bring net income into line with retained profits)

31-Jan-2024 Retained Earnings $1,000

Dividend $1,000

(To close net dividend to retained earnings)

For Question 2:

A net income of $10,400 is generated. They may compute it by subtracting total expenses from the entire revenue.

Total Revenue= $17,500

Total Expenses=$7,100

$\text{Net Income= Total Revenue-Total Expenses}$

$\bold{= \$17,500 - \$7,100} \\\\ \bold{=\$10,400}$

Please find the complete question in the attachment file.

Learn more:

brainly.com/question/14695332

4 0

1 year ago

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Papessa [141]

5/11 = 18/y
5 y = 18 · 11
5 y = 198
y = 198 : 5
y = 39.6

3 0

3 years ago