On a map, 3 inches corresponds to 100 miles. Find the actual distance between two cities that are 7 1/2 inches apart on the map.

Answers

Answer 1

Answer: Check by using law of ratios and proportions:
3 is to 100 = 7.5 is to x
Rule: The product of the means equals the product of the extremes.
3•x = 7.5•(100)
3x = 750
x= 750 : 3
x = 250

Related Questions

Solve for x: 4 − (x + 2) < −3(x + 4)
What doubles fact can help you solve 6+5=11?
What is the additive inverse of 4x
If 2x-3(x+4)=-5 then x=
These two functions represent the growth of two different bacterial cultures in terms of the number of bacteria after x days.f(x) = 2,000(2)^x (other one on the graph)Answer the following:A) Which function has the higher initial amount of bacteria? g(x) or f(x)B) Which function has the greater amount of bacteria after two days? g(x) or f(x)

The sum of the squares of two positive integers is 394. If one integer is 2 less than the other and the larger integer is x. Find the integers.

Answers

larger is x
the other is called y
sum of squares is 394
x^2+y^2=394
one is 2 less that other
x>y so
y+2=x
subsitute y+2 for x

(y+2)^2+y^2=394
expand
y^2+4y+4+y^2=394
add like terms
2y^2+4y+4=394
divideboth sides by 2
y^2+2y+2=197
subtract 197 from both sides
y^2+2y-195=0
factor
(y+15)(y-13)=0
set each to zero
y+15=0
y=-15
impossible since it is stated that they are positive so get rid of this solution
y-13=0
y=13

find other
y+2=x
13+2=x
15=x

numbers are 13 and 15

The sum of twice a number and 10 is 36

Answers

2x+10=36
X=13
Subtract 10 from both sides then divide x

Final answer:

To solve the equation, subtract 10 from both sides and divide by 2 to find the value of x.

Explanation:

To solve this problem, we need to set up an equation using the given information. Let's assume the number is x. We can translate the phrase 'twice a number' into the expression 2x. The equation becomes:

2x + 10 = 36

Next, we can solve for x by subtracting 10 from both sides:

2x = 26

Finally, we divide both sides by 2 to isolate x:

x = 13

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Solve the system of equations 3y+2z=12 and y-z=9

Answers

mulitply second equation by 2 and add to first

3y+2z=12
2y-2z=18 +
5y+0z=30

5y=30
divide 5
y=6

sub back
y-z=9
6-z=9
minus 6
-z=3
times -1
z=--3

x=-3
y=6

Wright a trinomial that has 9 x squared as the GCF of its terms

Answers

9x^4+9x^3+9x^2 is a possible wnswer

Answer:

36x^4 + 27x^3 + 18x^2

or 81x^4 + 63x^3 + 27x^2

Step-by-step explanation:

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Answers

Answer:

102

400/4= 100 and 8/4 is 2 sooo 102

When you divide 408 by 4 You will get 102

408/4 =102

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The perimeter(P 2l+2w)of a rectangle is 18 cm. If w is the width of the rectangle and L is the length, which graph below shows the relationship between the width and the length of the rectangle?

Answers

the question does not present the options, but thisdoes not interfere with the resolution

we know that

Perimeter of rectangle=2*[W+L]

where

L is the length of rectangle

W is the width of rectangle

Perimeter=18 cm

18=2*[W+L]-----> divide by 2------> 9=W+L

Let

x-------> L

y-------> W

then

x+y=9

using a graph tool

see the attached figure

the slope of the line is m=1

the x intercept is the point (9,0)

the y intercept is the point (0,9)

Final answer:

The relationship between the width and length of a rectangle given a constant perimeter is inverse; as the length increases, the width decreases proportionally. The graph representing this relationship would feature the length on the x-axis and width on the y-axis, and the line would represent all pairs of length and width that satisfy the equation

Explanation:

The problem in question asks to find the relationship between the width and length of a rectangle given its perimeter. In the given expression,

P = 2l + 2w

, where P is the perimeter, l is the length, and w is the width of the rectangle. Given that P = 18 cm, the relationship between the width and length can be represented by the equation

w = (P - 2l)/2

which implies that as the length increases the width decreases proportionally to maintain the constant perimeter. We must then create a graph where the x-axis represents the length and the y-axis represents the width, and a line representing possible solutions (l, w) that satisfy both the equation and the conditions given (length and width must be greater than 0).

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