A photographer sells large photos for $27 profit and small photos for an $11 profit.This past year,she sold 126 photos and made

(a) Predicate: 10d is an integer

Considering the domain is . Integers are closed under multiplication, and since 10 is an integer, if d is also an integer, then multiplying it by 10 results in an integer as well.

(c)

With both 1 and 4 being perfect squares, we find:

Thus, x needs to lie between 1 and 2. Additionally, since squaring negative numbers yields positive results, the range including numbers from -2 to -1 is acceptable as well. Hence, the domain is

Predicates (b) and (d) are equivalent to (a) and (c)

Answer:

The side length and the perimeter of one face.

The area of one face and the total surface area.

Step-by-step explanation:

I simply computed it.

For this scenario, we can define:

Where,
d represents distance
v signifies speed
t indicates time
Rearranging to find time gives us:

The total driving duration is half an hour:

Rearranging for d results in:

Conclusion:
she lives 18 miles from the store

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.

Answer:

24 minutes

Step-by-step explanation:

Let y represent the rate of 120 envelopes per minute.

40/8 = 120/y

40y = 8 * 120

40y = 960

y = 960/40

= 24 minutes