On a map, 1/4 inch represents 12 miles. If a road is 66 miles long, what is its length, in inches, on the map?

Answers

Answer 1

Answer: $(1)/(4)\ in\ on\ the\ map \ \rightarrow\ \ 12\ miles\n \nx\ \rightarrow\ 66\ miles\n \n12\cdot x= (1)/(4)\cdot 66\ /:12\n \n x= (33)/(2) \cdot (1)/(12) \n \nx= (3\cdot11)/(2\cdot3\cdot4) \n \nx= (11)/(8) \ [in]\n \nx=1.75\ [in]$

Answer 2

Answer: it'll be 1 $(5)/(6)$ inches on the map

since 12 miles is a quarter of an inch, we need to see how much it will be for 66 miles. we divide 66 by 12, which gives us 5 $(1)/(2)$

we multiply that by $(1)/(4)$ , which gives us thusly 1 $(5)/(6)$ of an inch = 66 miles.

Related Questions

Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents?
Which fraction is equivalent to 7/8 ?
CheckWhat is the slope of the line on the graph?X-22.4-2-4
Inequality word problem 7 less than -2 times a number X is greater than or equal to 41
A student bought a pair of sunglasses in the USA.He paid $35.50 In England, an identical pair of sunglasses costs £26.99 The exchange rate is £1 = $1.42 In which country were the sunglasses cheaper, and by how much?

using the 28/36 ratio, determine the maximum allowable recurring debt for someone with an annual income of $86,250.

Answers

Given:
28/36 ratio
annual income: 86,250

28+36 = 64

28/64 * 86,250 = 0.4375 * 86,250 = 37,734.375
36/64 * 86,250 = 0.5625 * 86,250 = 48,515.625

28/36 ⇒ 37,734.375/48,515.625

a. $575.00

good luck!

Which type of correlation would you expect to see between the temperature and the number of ice cream bars sold? A. positive correlation B. negative correlation C. no correlation

Answers

A positive correlation, because if it was warm or hot weather, the number of ice creams sold would go up.

A. positive correlation if it gets hotter B. negative correlation if it gets colder

Cómo se puede describir a la regla o patrón de una sucesión .? *a)Expresión de números cortos.
b)Expresión algebraica.
c)Expresión multiple.

Answers

¡Hola! Creo que tu respuesta es una expresión algebraica B, aunque no estoy 100% seguro. ¡Espero que esto te ayude! Buena suerte y que tengas un gran día. ❤️

Which choice is equivalent to the quotient shown here when x > 0?√50x^2 divide by √32x^2.

a.5√x/4
b.5x/4
c.√18x
d.√50x^3-32x^2

Answers

The quotient equivalent to the expression $√(50x^3) / √(32x^2)$ is (5√x)/4.

Hence option B is the right choice.

How to find the quotient of an expression?

To find the quotient of an expression, we simplify the numerators and the denominators and then cancel off the like terms.

How to solve the question?

In the question, we are asked to find the equivalent expression to the quotient given by $√(50x^3) / √(32x^2)$ .

To find the equivalentexpression, we need to simplify the given quotient as follows:

{√(50x³)}/{√(32x²)}

= {√(25.2.x².x)}/{√(16.2.x²)} [Since, 50x³ = 25.2.x².x, and 32x² = 16.2.x²]

= {√(5².2.x².x)}/{√(4².2.x²)} [Since, 25 = 5², and 16 = 4²]

= (5x.√2.√x)/(4x√2) [Since, √(ab) = √a√b, and √a² = a]

= (5√x)/4 [Cancelling the like terms √2 and x].

Thus, the equivalent expression is (5√x)/4.

Thus, the quotient equivalent to the expression $√(50x^3) / √(32x^2)$ is (5√x)/4. Hence option B is the right choice.

The question provided is incomplete. The complete question is provided in the attachment.

Learn more about finding quotients at

brainly.com/question/409874

#SPJ2

$√(50x^2):√(32x^2)=\sqrt(50x^2)/(32x^2)=\sqrt{(25)/(16)}=(5)/(4)$

A circle has a diameter of 25cm. How far from the centre of this circle is a chord 16cm long? Draw a picture before you start. Topic: Chords Property

Answers

Answer:

The cord is 9.6 cm away from the centre of the circle.

Step-by-step explanation:

See The Image First

The image below shows a picture of everything that’s given, labeled, and drawn in the circle.

Description of the Picture:

You can use the Pythagorean to find the what the distance (the length b) the cord is from the center. You can use the radius as the hypotenuse. The radius is half of the diameter, and the diameter is 25. So the radius is 12.5, which means that 12.5 is the hypotenuse of the triangle (also known as side c). The whole length of the cord is 16cm long, and we can use half of the cord, which is 8cm, for the triangle. So we know two sides already: the hypotenuse (the radius) and the length a of the triangle (half of the length of the cord).

To Solve (variables a, b, and c, are in italics so you don’t get confused):

⇒ Use the formula of the Pythagorean Theorem ( $a^(2)+b^(2)=c^(2)$ ), where b is the length of the distance from the cord to the centre of the circle (what we need to find out), a is the length of the side of the triangle (half of the cord size – 8cm), and c is the hypotenuse (the radius – 12.5cm). So plug the given values of b and c into the formula: