Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm. (THIS QUESTION HAS 3 PARTS)

Part A.) Choose a length between 5cm and 15cm for the walking trail on the second map: ________cm.

Part B.) Determine the scale factor from the first map to the second map. Show your work. It may help you to “draw” out the two maps and label the trails and their corresponding lengths. (2 points)

Scale factor =

Part C.) A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm. What are the side lengths of the triangle landmark on the second map? Show your work. It may help you to “draw” out the two maps and label the trails. (3 points)

Answer:

Scales are used on maps in the same way that they are used in plans.

A scale of 1 : 50 000 is used on many Ordnance Survey maps.

This means that 1 cm on the map represents an actual distance of 50 000 cm (or 500 m or 0.5 km).

Converting measurements on a map

We saw above that if a map has a scale of 1 : 50000, then 1 cm on the map is 50000 cm in real life.

(a) Imagine we have measured a distance as 3 cm on this map, and we want to find out how far this is in real life.

To work out the distance in real life, we need to multiply this length by 50000.

This gives 3 cm × 50000 = 150000 cm which is 1500 m or 1.5 km.

Alternatively, we could have just remembered that each 1 cm on the map is 0.5 km in real life.

Hence, 3 cm on the map must be 3 × 0.5 km = 1.5 km in real life.

(b) Now imagine we want to walk 4.5 km in real life, and we need to find out how far this is on the map.

To work out the distance on the map, we need to divide this length by 50000.

4.5 km = 4500 m = 450000 cm. Dividing 450000 cm by 50000 gives a distance on the map of 9 cm.

Alternatively, we could have just remembered that each 0.5 km in real life is 1 cm on the map.

If we divide 4.5 km by 0.5 km we get 9, so the distance on the map must be 9 cm.

I hope this helped, and Brainlyest plz

Pls help explain this question to me for math

Picture 1. Q4
Picture 2. Q5
Picture 3. Q6
Picture 4. Q7

At 10:00 a.m. the temperature is –3.4°F. The temperature increases 0.5°F each hour for the next 6 hours. If the temperature drops a total of 5.3°F over the following 3 hours, what is the temperature at 7:00 p.m.?

please give an explanation too!

ASAP . . . . . will give brainliest

After eating dinner at a restaurant, Brent's bill before tax is $24.00. The sales tax rate is 8%. Brent decides to leave a 30% tip for the waiter based on the pre-tax amount. How much money will Brent pay total, including tax and the tip?

HEEELPPPPP
Plz don't answer if you don't know the answer, just answer what is the area.

Please help me!!!
I need this by 10pm!!

The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000 automobile. What is the value of the car at the end of the second year?
A$14,080
B$17,600
C$19,800
D$26,400

three questions about areas of triangles

The results of the primary election are shown.
Smith is 15% Fishman is 40% Goron is 35% "Other"% is 10%
It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work.
40 people voted for "Other." Was the estimate of total voters from question 1 accurate? Explain.

Find the volume of a hemisphere with a radius of 11 inches. Round to the nearest tenth

HELP ME PLLLLZ dis is PEMDAS

Mike has 40 baseball cards. Tim has 5 less than half of what Mike has. How many baseball cards does Time have?

Lisa drinks 20 fl oz of water after she runs 1 mile. She wants to make a table to see how much water she will need to drink as she increases the number of miles she runs. What will the row look like for 5 miles?

What are the dimensions of the new room, in inches, on the blueprint? What will the dimensions of the new room be, in feet, in the new house?
in the attachment, the answers on the bottom are incorrect. please help me I do not understand what I am doing wrong.
info needed: q'(3.75,1.25) r'(8.75,1.25) s'(8.75,7.5) t'(3.75,7.5)
(48x,48y)

Write the expression with fewer terms.



10x − 2x

Carla is thinking of an integer greater than -5 but less than 0. What is one integer she could be thinking of?

(IF SOMEONE ANSWERS CORRECTLY ILL MAKE A FREE 50 POINT POST AND GIE FIRST OUT OF 2 ANSWER BRAINLIEST!!!)
Order −3
4
, 3
8
, −11
8
, −1
2
from least to greatest. Which is correct?

A number line going from negative 1 and StartFraction 3 Over 8 EndFraction to StartFraction 3 Over 8 EndFraction in increments of StartFraction 1 Over 8 EndFraction.
Negative 1 and StartFraction 1 Over 8 EndFraction, negative three-fourths, negative one-half, StartFraction 3 Over 8 EndFraction
Negative one-half, negative three-fourths, negative 1 and one-eighth, StartFraction 3 Over 8 EndFraction
StartFraction 3 Over 8 EndFraction, negative 1 and StartFraction 1 Over 8 EndFraction, Negative three-fourths, Negative one-half

Apply the distributive property to the expression to write an equivalent expression. Complete the statements.

4x + 16

Find the GCF of
✔ 4x and 16
.
Now factor out the GCF by dividing each term in the expression by
✔ 4
.
4x divided by the GCF is
✔ x
, and 16 divided by the GCF is
✔ 4
.

The equivalent expression is
✔ 4(x + 4)
.
this answer for the people that dont know it

Write the word sentence as an equation. Then solve.
14 more than a number c is 2.
A) C-14 = 2; c = 16
C) 14+c=2; c = 16
B) C-14 = 2; c = 12
D) 14+ c = 2; c= -12

Under his cell phone plan, Cameron pays a flat cost of $41 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Cameron can use while staying within his budget.

How does graphing relationships help you determine whether the relationship is proportional or not?

Please help me it needs to be correct

WILL GIVE BRAINLY

Can someone tell me which property each belongs to?

What are the solution and the answer?

Lorenzo had 5 7/8 ft of lumber. He used 3 5/12 ft to make some shelves. About how much lumber does he have left?

Find the volume of the composite figure pictured below. Who gets it first gets brainlest!

ya'll I need help quick

i need help asap pleaseee

can someone help i will give brainliest

Complete the following statement.

In a circle, 22/7 is the ratio of the
Choose...
to the
Choose...
.

Find sin(b)

Choose 1 answer:
a. 8/17
b. 8/15
c. 15/17
d. 15/8