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3 years ago

2 fields are 1,200 meters from each other. On a map the 2 fields are 8 centimeters apart. What scale is the map using.

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

5 0

Answer:

The scale 150 metres : 1 centimeters is the map using.

Step-by-step explanation:

Given:

2 fields are 1,200 meters from each other.

On a map the 2 fields are 8 centimeters apart.

Now, to find the scale map is using.

Actual distance between the 2 fields = 1200 meters.

Distance in the map between the 2 fields = 8 centimeters.

So, to get the scale map is using we find the ratio:

$Actual\ distance\ between\ the\ 2 fields/ Distance\ in\ the\ map\ between\ the\ 2 fields$ .

$=\frac{1200}{8}$

$=\frac{150}{1}$

$=150\ meters:1\ centimeters$

Therefore, the scale 150 metres : 1 centimeters is the map using.

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Bess [88]

The 5-pound bag is better value.

The easiest way to compare and find out which is a better buy is to find out how much is being charged for 1-pound of food in each bag.

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So the first bag charges $4 per pound of food.

Then use the same method for the 5-pound bag.

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3 years ago

The ratio of boys to girls at King Middle School is 3:2. What is the ratio of girls to all

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The answer is: " 2 :5 " ; or, write as: " 2/5 " .

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The ratio of 'girls' to 'all students' is: "2: 5 " ; or, write as: " 2/5 ".

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Explanation:

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Given: The ratio of boys to girls is: " 3:2 " .

Problem: Find the ratio of "girls" to "all students:

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Note: This ratio of "boys to girls", which is " 3 : 2 " ;

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→ can be expressed as " 3x: 2x" ;

in which the total number of students is: " 3x + 2x " = 5x " .

→ The total number of students is represented as: " 5x " .

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→ The ratio of "girls to boys" is: "2x : 3x" .

→ {that is; the "inverse" of the ratio of "boys to girls"} ;

→ {that is; the "inverse" of " 3x: 2x" } ; → which is: " 2x : 3x " .

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The ratio of "girls" to "all students" is: "2x : 5x " ; or " 2x/5x " ;

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3 years ago

2 friends share 6 waffles equally

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Step-by-step explanation:

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3 years ago

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Solve. 3 x+2y−z=8 2x+2z=−4 x+3y=4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. ( , , )

marshall27 [118]

Answer:

x = 1 , y = 1 , z = -3

Step-by-step explanation:

Solve the following system:

{3 x + 2 y - z = 8

2 x + 2 z = -4

x + 3 y = 4

Hint: | Choose an equation and a variable to solve for.

In the third equation, look to solve for x:

{3 x + 2 y - z = 8

2 x + 2 z = -4

x + 3 y = 4

Hint: | Solve for x.

Subtract 3 y from both sides:

{3 x + 2 y - z = 8

2 x + 2 z = -4

x = 4 - 3 y

Hint: | Perform a substitution.

Substitute x = 4 - 3 y into the first and second equations:

{3 (4 - 3 y) + 2 y - z = 8

2 (4 - 3 y) + 2 z = -4

x = 4 - 3 y

Hint: | Expand the left hand side of the equation 3 (4 - 3 y) + 2 y - z = 8.

3 (4 - 3 y) + 2 y - z = (12 - 9 y) + 2 y - z = 12 - 7 y - z:

{12 - 7 y - z = 8

2 (4 - 3 y) + 2 z = -4

x = 4 - 3 y

Hint: | Expand the left hand side of the equation 2 (4 - 3 y) + 2 z = -4.

2 (4 - 3 y) + 2 z = (8 - 6 y) + 2 z = 8 - 6 y + 2 z:

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8 - 6 y + 2 z = -4

x = 4 - 3 y

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{12 - 7 y - z = 8

8 - 6 y + 2 z = -4

x = 4 - 3 y

Hint: | Isolate terms with y to the left hand side.

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Hint: | Solve for y.

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{y = 4/7 - z/7

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x = 4 - 3 y

Hint: | Perform a substitution.

Substitute y = 4/7 - z/7 into the second equation:

{y = 4/7 - z/7

8 - 6 (4/7 - z/7) + 2 z = -4

x = 4 - 3 y

Hint: | Expand the left hand side of the equation 8 - 6 (4/7 - z/7) + 2 z = -4.

8 - 6 (4/7 - z/7) + 2 z = 2 z + ((6 z)/7 - 24/7) + 8 = (20 z)/7 + 32/7:

{y = 4/7 - z/7

(20 z)/7 + 32/7 = -4

x = 4 - 3 y

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for z:

{y = 4/7 - z/7

(20 z)/7 + 32/7 = -4

x = 4 - 3 y

Hint: | Isolate terms with z to the left hand side.

Subtract 32/7 from both sides:

{y = 4/7 - z/7

(20 z)/7 = -60/7

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Hint: | Solve for z.

Multiply both sides by 7/20:

{y = 4/7 - z/7

z = -3

x = 4 - 3 y

Hint: | Perform a back substitution.

Substitute z = -3 into the first equation:

{y = 1

z = -3

x = 4 - 3 y

Hint: | Perform a back substitution.

Substitute y = 1 into the third equation:

{y = 1

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Hint: | Sort results.

Collect results in alphabetical order:

Answer: {x = 1 , y = 1 , z = -3

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3 years ago

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Answer:

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