Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A scale on a hiking map shows that 3 inches represents 1.25 miles. What number of inches on the map represent 10 actual miles? inches

A scale on a hiking map shows that 33 inches represents 11.2525 miles.\newlineWhat number of inches on the map represent 1010 actual miles?\newlineinches

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Add and subtract decimals: word problemsright chevron icon

Full solution

Q. A scale on a hiking map shows that 33 inches represents 11.2525 miles.\newlineWhat number of inches on the map represent 1010 actual miles?\newlineinches
  1. Identify Ratio on Map: Identify the ratio given by the scale on the map.\newlineThe scale is 33 inches for every 1.251.25 miles.
  2. Set Up Proportion: Set up a proportion to find out how many inches represent 1010 miles.\newlineIf 33 inches represent 1.251.25 miles, then xx inches represent 1010 miles.\newlineSo, the proportion is 3 inches1.25 miles=x inches10 miles\frac{3 \text{ inches}}{1.25 \text{ miles}} = \frac{x \text{ inches}}{10 \text{ miles}}.
  3. Solve for x: Solve for x by cross-multiplying the proportion.\newline33 inches ∗10* 10 miles = xx inches ∗1.25* 1.25 miles\newline30=1.25x30 = 1.25x
  4. Divide to Find x: Divide both sides of the equation by 1.251.25 to solve for xx. \newline301.25=x\frac{30}{1.25} = x\newlinex=24x = 24

More problems from Add and subtract decimals: word problems

Question
A piece of paper is to display 150150 square inches of text. If there are to be one-inch margins on the sides and the top and a two-inch margin at the bottom, what are the dimensions of the smallest piece of paper that can be used?\newlineChoose 11 answer:\newline(A) 6′′×25′′ 6 \prime \prime \times 25 \prime \prime \newline(B) 10′′×15′′ 10 \prime \prime \times 15 \prime \prime \newline(C) 12′′×18′′ 12 \prime \prime \times 18 \prime \prime \newline(D) 15′′×18′′ 15 \prime \prime \times 18 \prime \prime \newline(E) None of these
Get tutor helpright-arrow

Posted 7 months ago

Question
Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m 2.8 \mathrm{~m} , and the tire revolves 11.55 times per second.\newlineWhat is the distance Benjamin travels in 100100 seconds?\newline□\square m
Get tutor helpright-arrow

Posted 7 months ago

Question
Grandpa Ernie is shrinking! Over the past 44 years, his height decreased by a total of 2.4 cm 2.4 \mathrm{~cm} . It decreased by the same amount each year.\newlineWhat was the change in Grandpa Ernie's height each year?\newline______cm \mathrm{cm}
Get tutor helpright-arrow

Posted 7 months ago

Question
Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was 0.0050.005 in diameter, and Eduardo's strand was 0.0120.012 in diameter. How much greater was the diameter of Eduardo's hair?
Get tutor helpright-arrow

Posted 6 months ago

Question
Michael breeds chickens and ducks.Last month, he sold 5050 chickens and 3030 ducks for extextdollar550 ext{ extdollar}550. This month, he sold 3434 chickens and 3636 ducks for extextdollar532 ext{ extdollar}532. How much does a chicken cost, and how much does a duck cost?
Get tutor helpright-arrow

Posted 5 months ago

Question
Pamela drove her car 9999 kilometers and used 99 liters of fuel. She wants to know how many kilometers (k) (k) she can drive with 1212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.\newlineHow many kilometers can Pamela drive with 1212 liters of fuel?\newline□ \square km \mathrm{km}
Get tutor helpright-arrow

Posted 5 months ago

Question
Pamela drove her car 9999 kilometers and used 99 liters of fuel. She wants to know how many kilometers (k) (k) she can drive with 1212 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.\newlineHow many kilometers can Pamela drive with 1212 liters of fuel?\newline□ \square km \mathrm{km}
Get tutor helpright-arrow

Posted 5 months ago

Question
You pick a card at random, put it back, and then pick another card at random.\newline44\newline55\newline66\newline77\newlineWhat is the probability of picking a number greater than 55 and then picking a 44 ?\newlineWrite your answer as a percentage.
Get tutor helpright-arrow

Posted 1 month ago

Question
Jeanne's bank account earns interest annually. The equation shows her starting balance of $500\$500 and her balance at the end of three years, $546.36\$546.36. At what rate rr did Jeanne earn interest?\newline546.36=500(1+r)546.36 = 500(1 + r)
Get tutor helpright-arrow

Posted 1 month ago

Question
Jeanne's bank account earns interest annually. The equation shows her starting balance of $350 \$ 350 and her balance at the end of three years, $422.78 \$ 422.78 . At what rate r did Jeanne earn interest?\newline422.78=350(1+r)3422.78=350(1+r)^{3}
Get tutor helpright-arrow

Posted 1 month ago

View all (7)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant