MATHEMATICS HIGH SCHOOL

1/6(6-15d)<2/3(12d+15)
Solve

Answers

Answer 1
Answer:       ¹/₆(-15d + 6) < ²/₃(12d + 15)
¹/₆(-15d) + ¹/₆(6) < ²/₃(12d) + ²/₃(15)
          -1¹/₂d + 1 < 8d + 10
        + 1¹/₂d    + 1¹/₂d
                       1 < 9¹/₂d + 10
                   - 10             - 10
                      -9 < 9¹/₂d
               ²/₁₉(-9) < ²/₁₉(9¹/₂d)
                   ⁻¹⁸/₁₉ < d
                       d > ⁻¹⁸/₁₉

Solution Set: {x ∈ x > ⁻¹⁸/₁₉}, (⁻¹⁸/₁₈, ∞)

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DEFG is a rectangle. DF = 5x - 3and EG = x + 5. Find the value of x and the length of each diagonal.a. x = 1, DF = 6, EG = 6 b. x = 2, DF = 7, EG = 12 c. x = 2, DF = 6, EG = 6 d. x = 2, DF = 7, EG = 7

What is the true number of pi

Answers

The true number of pi is 3.14159265359

Answer:the absalute number of pi is 3.14

you can get a number close to 3.14 ny

22 devide by 7

Step-by-step explanation:

2x - 4y = -2
2x + 3y = -16

What is the solution

Answers

Answer:

x=-5

y=-2

Step-by-step explanation:

equation 1 - equation 2

(2x-4y=-2) - (2x+3y=-16) = (-7y=14)

y=14/-7=-2

then substitute y=-2 into any equation

2x-4(-2)=-2

2x+8=-2

2x=-10

x=-10/2=-5

There are white, red and blue cars in a parking lot. The number of each colour car is a factor of 36. There are twice as many white cars as red cars. The number of blue cars is twice that of black cars. The number of black cars is the product of two different prime numbers. The number of red cars is a square number that is not a multiple of 2. If there are 45 cars in the parking lot, calculate how many cars of each colour there are.

Answers

Black = 2*3 = 6 cars;
Blue = 2*2*3 = 12 cars;
Red = 3^(2) cars;
White = 2*9 = 18 cars;
 The number of each colour car is a factor of 36( blue, red, white);
black + blue + red + white = 45 cars.

Answer:

45 cars.

Step-by-step explanation:

For black, 2*3=6 cars.

For blue, 2*2*3=12 cars.

For red 3 to the power of 2= 6 cars;

For white, 2*9=18 cars;

The number of each color would be a factor of 36. This means that all the cars being added equals 42.

Brian was tilting a patio and ran out of tiles. The width ofthe remaining area is 2/3 yard. The length of the remaining
area is 4 yards. What is the area Brian has left to tile?

Answers

(2)/(3)*4\n(8)/(3)

8/3 square yards

The Spartan Bike Shop has a credit card that they use for business transactions. Their starting amount is 4,500. Create a balance sheet similar to the one created in class which include: Date, Transaction, deposit withdraw and balance

Answers

Answer:

Step-by-step explanation:

Here is a sample balance sheet for the Spartan Bike Shop credit card transactions:

Date | Transaction | Deposit | Withdraw | Balance

--------------------------------------------------------------

01/01/2022 | Starting balance | - | - | $4,500

01/15/2022 | Purchase of supplies| - | $500 | $4,000

02/05/2022 | Payment received | $1,000 | - | $5,000

02/20/2022 | Equipment purchase | - | $2,500 | $2,500

03/10/2022 | Refund received | $300 | - | $2,800

In this example:

- The starting balance on 01/01/2022 is $4,500.

- On 01/15/2022, the shop made a purchase of supplies, resulting in a withdrawal of $500 from the credit card account, leaving a balance of $4,000.

- On 02/05/2022, the shop received a payment of $1,000, which was deposited into the credit card account, increasing the balance to $5,000.

- On 02/20/2022, the shop made an equipment purchase, resulting in a withdrawal of $2,500 from the credit card account, leaving a balance of $2,500.

- On 03/10/2022, the shop received a refund of $300, which was deposited into the credit card account, increasing the balance to $2,800.

This balance sheet provides a clear record of the credit card transactions for the Spartan Bike Shop, including the dates, transaction details, deposits, withdrawals, and the resulting balance after each transaction. It helps the shop keep track of their credit card activity and maintain an accurate record of their financial transactions.

A tub is shaped like a rectangular solid, with internal measurements of 2 feet x 2 feet x 5 feet. If two faucets, each with an output of 2 cubic feet of water per minute, pour water into the tub simultaneously, how many minutes does it take to fill the tub completely?

Answers

V=whl
V=2*2*5
V=20

Therefore, given the rate of 2 cubic feet per minute, it would only take 10 minutes to fill the rectangular prism with a volume of 20 cubic feet.
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