MATHEMATICS HIGH SCHOOL

A map has a scale of 1 cm : 20 km. Two cities are 2.5 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?A. 70 km

B. 52.5 km

C. 50 km

D. 150 km

Answers

Answer 1
Answer:

Answer:

C. 50 km

Step-by-step explanation:

The scale on the map is,

1 cm : 20 km,

That is, the ratio of the scaled distance and actual distance = (1)/(20)

Let x be the actual distance between the two cities which are 2.5 cm apart on the map,

So, the ratio of scaled distance and actual distance = (2.5)/(x)

\implies (1)/(20)=(2.5)/(x)

x=20* 2.5

x=50

Hence, the actual distance between the cities is 50 km.

Option 'C' is correct.
Answer 2
Answer: so just use the rule of 3 simple 

1 cm -------- 20 km 
2,5 cm ----- x km 
----------------------------

 x = 2,5 *20/1 = 50 km

x = 50 km so choice C. is righ,correct sure 

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What is the ratio 1.12 turned in to a fraction in simplest form?

Answers

1.12=1 12/100=1 3/25 
         or 28/25

What is 2 3/5 minus 1 1/7

Answers

Exact form: 51/35


Mixed Number Form: 
1 16/35

H3Y was correct.
2 3/5-(1 1/7)= 51/35
= 1 16/35

A golf course in Phoenix, Arizona, uses an average of 80 million gallons of water daily for irrigation. An average family of four (also living in Phoenix, AZ) uses 325,851 gallons of water per year. Rounded to the nearest ten, how many families of four can one golf course provide water for?

Answers

Answer:

89610 family

Step-by-step explanation:

An average family of four (also living in Phoenix, AZ) uses 325,851÷365 gallons of water per day

then

An average family of four (also living in Phoenix, AZ) uses 892.74247 gallons of water per day

therefore

the number of families of four can one golf course provide water for :

80 000 000÷892.74247=89611.509

the number of families of four can one golf course provide water for :

[rounded to the nearest ten] 89610.

:)

Answer:

Around 250 families can be provided with one golf course.

Step-by-step explanation:

Givens

  • A golf course uses 80 million gallons of water daily.
  • A family of four uses 325,851 gallons of water per year.

This situation can be described by the following equation

325,851x=80,000,000

Where x indicates the number of families that could use the 80 million galons of water.

Let's solve for x

x=(80,000,000)/(325,851)\n x \approx 250

Therefore, around 250 families can be provided with one golf course.

Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side? less than 25 / less than or equal to 25 /equal to 25/ more than 25

Answers

The length of the third side of a triangle is always less than the sum of the other two legs. Therefore if we add the two legs we obtain,

leg 1 + leg 2

10 + 15 = 25

Since the sum of the legs is 25, thus, the third leg should be less than 25. 

Answer:

A. Less than 25.

Step-by-step explanation:

Let x represent 3rd side of triangle.

We have been given hat two sides of a triangle have lengths 10 and 15.

We will use triangle inequality theorem to find the 3rd side of the triangle. Triangle inequality theorem states that 3rd side of a triangle must be less than the sum of other two sides of triangle.

Using triangle inequality theorem, we can set following inequalities:

x+10>15

x+10-10>15-10

x>5

Therefore, the length of third side should be greater than 5.

10+15>x

25>x

x<25

Therefore, the length of third side should be less than 25 and option A is the correct choice.

Write the standard equation of the circle with the given center that passes through the given point. Center (-2,6); point (-2,10)

Answers

The general form of the equation of a circle is given by:
(x-a)²+(y-b)²=r²
where:
(a,b) is the center
r is the radius
Given that the circle with center (-2,6) and cuts point (-2,10), the equation of the circle will be found as follows:
the radius of the circle will be:
r=√[(x-a)²+(y-b)²]
r=√[(-2-(-2))²+(10-6)²]
r=√[(-2+2)²+4²]
r=√[0+4²]
r=4 units 
hence plugging the values to obtain the equation we get:
(x-(-2))²+(y-6)²=4²
simplifying we get:
(x+2)²+(y-6)²=4²

Aubrey prepared 15 kilograms of dough after working 5 hours. How many hours did Aubrey work if she prepared 18 kilograms of dough?

Answers

Answer:

6 hours

Step-by-step explanation:

Set up a proportion:

15kg/5 hrs = 18kg/x hrs

Cross multiply:

5(18)=15x

90 = 15x

Divide by 15:

90/15 = x

6 = x

Answer:

21

Step-by-step explanation:
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