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1 year ago

For every $10 Glen earns, his parents

Mathematics

2 answers:

irga5000 [103]1 year ago

8 0

10-2 = 8

He can spend $8

$8/$10 = 0.80

0.80 x 100 = 80 %

He can spend 80%

inessss [21]1 year ago

7 0

Answer:

80%

Step-by-step explanation:

Glen gets to spend 80%. $2 is only 20% of his money.

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Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes

Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2 $\times$ 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 $\times$ 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled $\triangle AOB$ .

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units$

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = $\dfrac{Total\ distance}{Total\ time}$

$\Rightarrow \dfrac{74.28}{5} = 14.86\ knots$

6 0

2 years ago

a scientist wants to study 24 stars he studies 1/3 of them one week and 1/4 of them next week how many of them are left to study

zvonat [6]

6 because 1/3 of 24 is 8 and 1/4 of 8 is 6

4 0

2 years ago

Dominic earns $285 per week plus an 8% commission rate on all his sales. If Dominic sells $4,213 worth of merchandise in one wee

nexus9112 [7]

(4213*.08)+285=
337.04+285=
622.04

3 0

1 year ago

Jose wants to start a restaurant and is writing a business proposal. His rent is $1,000 per month. The monthly operating costs a

Harman [31]

Answer:

Revenue = 5( 1000 + w+ k)

Step-by-step explanation:

Lets calculate expenses first

rent = $1000

wages = w

overhead cost = k

Total cost = rent + wage+ overhead

Total cost = 1000 + w+ k

Given Jose wants his monthly sales revenue, x, to be 4 times greater than the operating costs

Let revenue be R

Thus, putting the statement mathematically

revenue - total cost = 4 * operating cost

R - ( 1000 + w+ k) = 4( 1000 + w+ k)

R = 4( 1000 + w+ k) + ( 1000 + w+ k)

R = 5( 1000 + w+ k)

Thus, revenue should be 5( 1000 + w+ k).

4 0

2 years ago

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the sta

NemiM [27]

Answer:

The height of the statue is 21.4 feet

Step-by-step explanation:

We are given

A person is standing 50 ft from a statue

The person looks up at an angle of elevation of 16 degree when staring at the top of the statue

hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue

Firstly, we will draw diagram

In triangle ABF:

FC=50

we can use trig formula

$tan(16)=\frac{y}{50}$

$y=50tan(16)$

$y=14.33727ft$

now, we can find x

In triangle DEF:

we can use trig formula

$tan(8)=\frac{x}{50}$

$x=50tan(8)$

$x=7.0270ft$

we can see that

height of statue =x+y

so, the height of statue is

$=14.33727+7.0270$

$=21.4ft$

6 0

2 years ago