The scale on a map is 1/4 in : 18 mi. The state capital is 252 miles from the border. How far is the state capital from the border on the map?

Answers

Answer 1
Answer: Hey there, x:252 miles, 1/4:18=x:52, from there we cross mutliply 18*x=1/4*252=18x=63, x=63/18=7/12=3.5. So, the anwer is 3.5 inches.
Answer 2
Answer:

Final answer:

Using the given scale ratio on the map and setting up a proportion with the real distance to the capital, then solving, we get that the state capital is represented as being 3.5 inches from the border on this map.

Explanation:

The subject of this question is applied mathematics, specifically ratios. The scale on the map is given as 1/4 in : 18 mi. This means that for every 1/4 inch on the map, it represents 18 miles in reality. To figure out how far the capital is from the border on the map, you'll implement this scale ratio.

First, you make a fraction with the scale, with the real distance (18 miles) on top and the map distance (1/4 inch) on the bottom. Then, you set up a proportion with this fraction equal to another fraction consisting of the real distance to the capital on top (252 miles) and an unknown distance on the map at the bottom, which we can represent as x.

The fraction then looks like this: 18/0.25 = 252/x. Solving for x gives you x = (0.25*252)/18 = 3.5. Therefore, the state capital is represented as being 3.5 inches from the border on this map.

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Question 3! How to do it?

Answers

Hello,

x/6=tan 60°==>x/6=√3==>x=6√3

Answer B

What does 5/6 equal as a decimal?

Answers

The decimal of 5/6 is 0.8333
Hi there! To turn a fraction into a decimal we divide the numerator by the denominator. So, we have the fraction 5/6 where 5 is the numerator and 6 is the denominator. 5÷6=0.8333 repeating. Therefore, 5/6 as a decimal is 0.8333

If 8 people share 44 balloons equally, how many balloons does each person get?

Answers

5.5 or either they would all get 4

Answer:

5.5 but to have half a balloon is impossible so we should say 4 just for the case of it

Step-by-step explanation:

We know that there are 8 people and 44 balloons, they want to be shared equally, "equally" is a term for division, so we divide.

44 / 8

==> 5.5

Of course there is no such thing as a half balloon, so if we were to ask how many everyone would get, it would be 4 at most.

M = 1, (- 4, -6) does anyone know the answer to this

Answers

Hello,
Very clear your question !!!
I suppose m is the slope of a line
and the line passe through (-4,-6)

and you ask the equation of the line!

y+6=1(x+4)==>y=x-2

Is 0.21 less or greater than half

Answers

0.21 is less than half because a half is 0.5.

So 0.21 is less than 0.5 because the tenths place is less than 5 which makes 0.21 smaller than a half


less than half because .5 is half of one

.5 = .50

compare the 2. that's what I do.

.50

.21

forget the decimal. and pretend that 100 = 1

Hope this helped

True or FalseIn order for a function to be one-to-one, no two independent variable values may yield the same value of the dependent variable

Answers

dependent variables are dependent on the independent variable ie
f(x)=8x
f(x)=demendent variable
x=independent
in order for the fn to be 1-to-1, no 2 independent variables may yeild the sam edepend variables
true
that is the same thing as
for every  input, you get exatly 1 output


answer is TRUE
Its true. no independent variable may yield the same thing as a dependent variable.