A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8). y -(-8) = -6(x - 2) y -(-8

Zoe incurred $18.60 in tips and sales tax for her meal. The rate of sales tax stands at 11% while her tip amounted to 20%. (The tip does not include sales tax, and it is calculated on the dinner's price before tax.)

From the information provided, it's evident that both the tip and sales tax apply solely on the dinner cost. Thus, we have:-

Sales Tax = 11% of dinner cost

Tip = 20% of dinner cost

And Sales Tax + Tip = $18.60

Therefore, (20+11)% of dinner cost = 18.60

31% of dinner cost = 18.60

0.31 * dinner cost = 18.60

dinner cost = 18.60/0.31 = 60

Thus, Zoe's dinner cost was $60.

Miguel's batting average is roughly 0.330

Explanation

Miguel Cabrera achieved 205 hits in 622 at-bats.

To calculate batting average, we need to divide the hits by the total at-bats and round the result to three decimal places since batting average is conventionally rounded in this manner.

Hence, Miguel's batting average ≈ 0.330 (Rounded to three decimal points)

Answer:

The first equation is y = 1.5x - 6

The second equation is y = -4x + 6.1

The solution is (2.2, -2.7)

Step-by-step explanation:

Answer: The hourly charge for the rototiller is $3.

Step-by-step explanation:

Let h denote the hourly rate for the rototiller rental.

The rental provider imposed a base fee of $43 in addition to a charge per hour. Assuming the rototiller was rented for x hours, the cost incurred would total

43 + hx.

If they paid $64 for 7 hours of rental, the equation representing this situation would be

43 + 7h = 64.

Resolving gives us 7h = 64 - 43 = 21.

Therefore, h = 21/7 = $3.

Bart needs to;

Calculate 6(400), 6(10), and 6(2) ⇒ 2nd

Calculate each addend multiplied by 6 ⇒ 4th

Determine the total of (2400 + 60 + 12) ⇒ 5th

Step-by-step breakdown:

We'll review the distributive property

• a(b + c) = ab + ac
• a(b + c + d) = ab + ac + ad

Bart applied place value along with the distributive property to express the

calculation 6(412)

His calculation can be represented as 6(412) = 6(400 + 10 + 2)

We must find out what Bart needs to do to compute the product

∵ 6(412) = 6(400 + 10 + 2)

- Multiply every component inside the brackets by 6 on the right side

∴ 6(400 + 10 + 2) = (6)(400) + (6)(10) + 6(2)

∴ 6(400 + 10 + 2) = 2400 + 60 + 12

∴ He should multiply each addend by 6, then calculate the total of

  (2400 + 60 + 12)

Bart needs to;

Calculate 6(400), 6(10), and 6(2)

Multiply each addend by 6

Compute the total of (2400 + 60 + 12)

Learn more:

You can find additional information regarding place value at