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3 years ago

8. Solve.

Mathematics

1 answer:

trapecia [35]3 years ago

3 0

Answer:

48 assistants

Step-by-step explanation:

If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.

Thus:

1.5 assistants to 1 executive = x assistants to 32 executives

1.5 : 1 = x : 32

$\frac{1.5}{1} = \frac{x}{32}$

Cross multiply

$1.5*32 = x*1$

$48 = x$

Therefore, 48 assistants were employed in the office.

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Ruby signed up for a frequent-filer program. She receives 3400frequent-flier miles for the first round trip and 1200 miles for a

vovangra [49]

Answer: 8200 miles

Step-by-step explanation:

Based on the question, since she wants to go for five round trips, her first round trip is fixed at 3400 and she will have 4 more additional trips. This can them be calculated as:

= 3400 + 1200x

x = additional trips = 4

We then put the value of x into the equation

= 3400 + 1200x

= 3400 + 1200(4)

= 3400 + 4800

= 8200

She'll have 8200 mile after 5 round trips

3 0

2 years ago

Wade and Alexandra are 240 feet apart when they start walking toward one another. Alexandra walks twice as fast as Wade so whene

Cerrena [4.2K]

Answer:

The initial distance between Wade and Alexandra is 240ft.

They walk towards each other.

Alexandra walks twice as fast as Wade.

Now, because they are walking towards each other, when the distance walked by both of them equals 240 ft, they will meet.

Then:

if Wade walks z ft, Alexandra walks 2*z ft.

So we have the equation:

Distance that Wade walked + Distance that Alexandra walked = 240ft

z + 2*z = 240ft

3*z = 240ft

z = 240ft/3 = 80ft

They will meet when Wade walks 80ft.

4 0

3 years ago

Read 2 more answers

At an ocean depth of 8 meters, a buoy bobs up and then down 5 meters from the ocean's depth. Sixteen seconds pass from the time

lisov135 [29]

Answer:

See attached for a graph

Step-by-step explanation:

We're going to plot sea level as y=0 and a depth of 8 meters as y=-8.

The problem statement tells you the initial point (x=0) is at normal ocean depth (y=-8), so the first point you put into your sine tool is ...

(x, y) = (0, -8)

The buoy takes 16 seconds to go from a high point to a low point, so the time to the first high point is half that, or x=8 seconds. That high point is 5 meters above its average depth, so is at y=-3.

The second point you will put into your sine tool is ...

(x, y) = (8, -3)