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Given:

The scale on a map is 1:25000.

To find:

How many km on the ground is represented by 6cm on the map?

Solution:

Let x be the km on the ground.

We know that,

1 km = 1000 m

1 m = 100 cm

So,

1 km = 100,000 cm

x km = 100,000x cm

The scale on a map is 1:25000. It means the ratio of map and ground is equal to 1:25000.

[tex]\dfrac{1}{25000}=\dfrac{6}{100,000x}[/tex]

[tex]\dfrac{100,000x}{25000}=6[/tex]

[tex]4x=6[/tex]

[tex]x=\dfrac{6}{4}[/tex]

[tex]x=1.5[/tex]

Therefore, 1.5 km on the ground is represented by 6cm on the map.

Answer:

18, 9, 27

Step-by-step explanation:

36 ÷ 2 = 18. Dividing by 2 is the same as multiplying by 50%.

36 ÷ 4 = 9. Dividing by 4 is the same as multiplying by 25%.

Since 25% • 3 = 75%, you can do 9 (from previous) • 3 to get 27.

Answer:

Roughly 9.85 Exact: 9.848857081796105

Step-by-step explanation:

4^2 = 16

9^2 = 81

81 + 16 = 97

√97=9.848857081796105

Answer:

11

Step-by-step explanation:

i don't know

Answer:

22.8

Step-by-step explanation:

5.7 multiplied by 4 is 22.8 as 5.7 is 1/4 or 22.8

Answer:

Removing pennies and dimes from the bag

Step-by-step explanation:

From the beginning, we have a 1 in 3 chance of drawing a quarter. If we were to add dimes and/or pennies to the bag, this would make us more likely to draw a dime or a penny, and less likely to draw a quarter. Proportionally, we want the most quarters in the bag to get the highest probability of drawing a quarter from the bag.

Answer:

Step-by-step explanation:

Since you are reflecting about the x axis you keep the x coordinate the same and multiply the y coordinate by -1 so you have point (8,-4)

Answer:

First square 1 out of 3 are colored. Second square 1 out of 6 are colored in.

Step-by-step explanation:

Choose the model that matches the situation.

A fraction is a way to describe a part of a whole. The fraction of an hour for which Ruby studied is (1/2).

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that Jamal spent 1 1/2 hours studying for his science test, while Ruby studied for 1/3 the amount of time that Jamal studied. Therefore, we can write,

[tex]\rm \text{Time for which Ruby studied} = 1\dfrac12 \times \dfrac13\\\\\text{Time for which Ruby studied} = \dfrac32 \times \dfrac13 = \dfrac12\ hours[/tex]

Hence, the fraction of an hour for which Ruby studied is (1/2).

Learn more about Fraction:

https://brainly.com/question/1301963

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Answer:

3200

Step-by-step explanation:

take 6000 and divide it by 3 then add 1200 to that!

Answer:

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Step-by-step explanation:

Mai biked 5 1/4 miles today

So he biked, in miles:

[tex]5 + \frac{1}{4} = \frac{5*4 + 1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]

Noah biked 2 1/2 miles.

So, in miles, he biked:

[tex]2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}[/tex]

How many times the length of Noah’s bike ride was Mai’s bike ride?

We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So

[tex]\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1[/tex]

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Answer:

500

Step-by-step explanation:

well uh, 5 x 100 is 500 and it’s out of 100%.

Answer:

500

Step-by-step explanation:

9514 1404 393

Answer:

  28 feet

Step-by-step explanation:

Let r represent the radius of the pond. Then the Pythagorean theorem gives us the relation ...

  (25+r)² = r² + 45²

  625 +50r +r² = r² +2025

  50r = 1400 . . . . . . . . . . . . . subtract r²+625 from both sides

  r = 28 . . . . . . . . . . . divide by 50

The radius of the pond is 28 feet.

Answer:

$ 129.34 will be the total payment made after two months if she made no initial payment

Step-by-step explanation:

annual interest rate = 15.9 %

initial charge = $126

to get the annual interest paid = 15.9% of $126

                                                  = 0.159 * $126 = $20.03

monthly interest paid would be = annual interest  / 12 months

                                                    = 20.03 / 12 = $1.67

hence in 2 months Rita will pay = initial charge + monthly interest * 2

                                                    = $126 + $ 1.67 *2 = $ 126 + $3.34

                                                    = $ 129 .34

Interest rates are always given an annual interest rate.

Your Welcome :D

(P.S Brainliest Would Be Appreciated)

Answer:

There are 36 boys

Step-by-step explanation:

Answer:

x-2y= -8

Step-by-step explanation:

Answer:

Step-by-step explanation: Part A:

3x−6y=−12;x−2y=−8

Rewrite equations:

x−2y=−8;3x−6y=−12

Step: Solvex−2y=−8for x:

x−2y=−8

x−2y+2y=−8+2y(Add 2y to both sides)

x=2y−8

Step: Substitute2y−8forxin3x−6y=−12:

3x−6y=−12

3(2y−8)−6y=−12

−24=−12(Simplify both sides of the equation)

−24+24=−12+24(Add 24 to both sides)

0=12

Answer:

No solutions.

Part B: the lines are parallel

Answer:

120x138 in or 11.5x10 feet

Step-by-step explanation:

Step 1:

convert the feet to inches

10(feet)*12(inches)=120 inches

Step 2:

120(width)+18(length)=138 inches

Step 3:

width: 120 in OR 10 feet

length: 138 inches OR 11.5 feet (when divided by 12)

Hope this helps!

Answer:

10 in. x 22.5 in.

Step-by-step explanation:

10+11.5=22.5

10 x 22.5

Answer:

3 1/2

Step-by-step explanation:

Answer:

he would need 2 and 2/3 pounds of potatoes

Step-by-step explanation:

you would add 2/3 together 4 times.

2/3 + 2/3 + 2/3 + 2/3 = 2 and 2/3

so oscar would need 2 and 2/3 pounds of potatoes.

hope I could be of great assistance to you.

Answer:

0.089

Step-by-step explanation:

Answer:

239.4

Step-by-step explanation:

8 x 2992.50/100 = 239.4

Answer:

where?

Step-by-step explanation:

the pic

Answer:

Hope this helps! :')

Step-by-step explanation:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply

Answer:

Nothing.

Step-by-step explanation:

I believe you needed a picture.

Answer:

PEMDAS

parenthesis

exponents

multiplication

division

addition

subtractions

(please excuse my dear aunt sally)

Step-by-step explanation:

hope this helps:) please mark brainliest.

Answer:

Belinda threw the ball 2.31 meters farther than Lorraine.

Step-by-step explanation:

To find how many meters farther Belinda threw the ball, we subtract Belinda's distance from Lorraine's distance.

We have that:

Lorraine threw a football 9.89 meters.

Belinda threw the football 12.20 meters.

12.20 - 9.89 = 2.31

Belinda threw the ball 2.31 meters farther than Lorraine.

Answer: 990

Step-by-step explanation:

(18 x 21) + (3 x 18) + (21 x 18) + (2)(21x3) + (3 x 18) = 990

Answer:

A. 990

Step-by-step explanation:

The percentage of regular grade gasoline sells for between $3.35 and $3.55 per gallon is 64%

The percentage of regular grade gasoline sells for between $3.35 and $3.65 per gallon is 81.5%

The percentage of regular grade gasoline sells for less than $3.55 per gallon is 84%

Given :

Mean retail price is $3.45

Standard deviation is 0.10

Empirical rule states that 99.7% of data is observed in normal distribution that lies within 3 standard deviations.

68% of data lies under 1 standard deviation

95% lies under 2 standard deviations

99.7% lies under 3 standard deviations

there are 3 standard deviations on the left and right of mean . The graph is attached below

Mean is 3.45. standard deviation is 0.1

3.45+0.1=3.55

3.45-0.1=3.35

So 3.35  and 3.55 lies under first standard deviation

The percentage between $3.35 and $3.55 is 68%

3.45 +0.1+0.1=3.65

3.35 lies on 1 standard deviation on left and 2 deviations on the right of mean

So , 34+34+13.5=81.5%

The percentage between $3.35 and $3.65 is 81.5%

For gasoline sells for less than 3.55 , there are 3 standard deviation on the left of mean and 1 standard deviation on the right

0.15+2.35+13.5+34+34=84%

Learn more :  brainly.com/question/14433254