Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale

Starting with the equation Y - 4x = 7, we can express y as y = 4x + 7. Now, substitute this expression into the second equation 2y + 4x = 2: 2(4x + 7) + 4x = 2, which simplifies to 8x + 14 + 4x = 2. After that, we gather like terms: 12x = 2 - 14, yielding 12x = -12, hence x = -1. Plugging x into the equation y - 4(-1) = 7 also reveals: y + 4 = 7, which gives y = 3. Thus, the solution arrives at (-1, 3).

The dimensions of the book cover are 28.3 centimeters in length and 21 centimeters in width. Calculate the range of values for both the actual length and width of the book cover. Minimum length = (28.3 - 0.05) cm and maximum length = (28.3 + 0.05) cm, thus 28.25 cm ≤ length < 28.35 cm.

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Answer:

7 years

Step-by-step explanation:

Since a graph isn’t provided, I will indicate how many years are involved, and you should be able to deduce it from this. First, let’s [use a calculator] to find 2% of 250, which equals 5. Adding 5 to the total only slightly impacts 2% of the original amount, changing it by 0.1 or 5/50. We can continue adding 5 until we exceed 282, which occurs after 7 increments, calculated as (285 minus 250) divided by 5. Thus, the answer is indeed 7 years. A quick calculation will confirm this.

Answer:

The amount of ovens that must be produced in a week to earn a $1610 profit is 70.

Step-by-step explanation:

Given:

A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:

with 0 ≤ x ≤ 200.

The target profit is $1610

So, set P = 1610, then solve for x:

Multiply both sides by 10:

Next, factor the quadratic:

Solving for x gives:

Since x=230 is outside the domain 0 ≤ x ≤ 200, we discard it.

Hence, the valid solution is x=70.

Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.

Each of the six payments amounts to $41.50

Step-by-step breakdown:

Given,

Total cost of the bike including taxes = $349

Initial payment = $100

Remaining balance = Total cost of bike - Initial payment

Remaining balance = 349 - 100

Remaining balance = $249

She opts to pay in six equal installments, so we divide the total remaining by 6.

Monthly payment =

Monthly payment =

Each of the six payments amounts to $41.50

Keywords: division, subtraction

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