Answer: 6.5 inches
Step-by-step explanation:
From the question, we are informed that Claire is building a dollhouse where 1 inch on the plans is equivalent to 5 inches on the actual dollhouse.
If the house is to be 32.5 inches tall, the height be on the plans will be one-fifth of the actual dollhouse. This will be:
= 1/5 × 32.5
= 6.5 inches
Answer:
how do you find the circumference of a circle??
C=2πr
C=2πr
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
Answer:
Option A. Divide 382 by 1027.
Step-by-step explanation:
A survey was done about the people who preferred running indoors and outdoors. Then a two way table was prepared.
Amir is making a relative frequency table.
As we know relative frequency table is prepared by the dividing number of frequency by the total number of students taken in the sample.
Now he will take the data from the given two way table.
People age 30 years and younger were 382 running outdoors and 105 running indoor.
So people having age 30 and below are 382 + 105 = 487
Similarly people Over 30 years old running outdoor and indoor = 299 + 241 = 541
Now Total number of people taken in the sample = 487 + 541 = 1027
So relative frequency for the people of age 30 and younger will be
382/1027 for outdoor and 105/1027 for indoor.
Therefore answer will be Option A. Divide by 382/1027.
