The manager of a grocery store estimates that 74% of customers will make a purchase.

Answer: £164.50

Reducing 175 by 6% results in 164.5.

The absolute change is:

164.5 - 175 = -10.5

Step-by-step explanation:

The calculation is as follows:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% of 175 =

(1 - 0.06) × 175 =

0.94 × 175 =

94 ÷ 100 × 175 =

94 × 175 divided by 100 =

16,450 ÷ 100 =

164.5

So, the final amount is £164.50

Answer:

50 Educators

Step-by-step explanation:

To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

The storage pod features a rectangular base measuring 19 feet by 13 feet, with a flat ceiling height of 5 feet above.

Calculating the area of the floor yields: length multiplied by width

Length = 19 feet

Width = 13 feet

Area = 19*13

Area = 247 feet²

The volume of the pod can be found by multiplying the area by the height

Height of the pod = 5 feet

Area = 247 feet²

Volume = 247*5

Volume = 1235 feet³

Answer:

m∠ABE = 27°

Step-by-step explanation:

* To analyze the figure to address the query

- AC represents a line

- Ray BF crosses line AC at point B

- Ray BF is perpendicular to line AC

Thus, both ∠ABF and ∠CBF are classified as right angles

Which gives us ∠ABF = ∠CBF = 90°

- Rays BE and BD meet line AC at point B

Since m∠ABE is equal to m∠DBE, as indicated by the same symbol in the figure

It implies that BE acts as the angle bisector of angle ABD

Given that m∠EBF = 117°

Then m∠EBF = m∠ABE + m∠ABF

Where m∠ABF = 90°

So, 117° = m∠ABE + 90°

- By subtracting 90 from both sides

It follows that m∠ABE = 27°

The answer is 120 days. Canteen A serves every 12 days, canteen B every 8 days, and canteen C every 10 days. To determine when they will all serve food simultaneously again, we need to find the least common multiple of these intervals. The least common multiple of 12, 8, and 10 is 120 days. Therefore, all three canteens will serve soup together again in 120 days.