Answer:
x = 13 1/2 days
Step-by-step explanation:
1/2 acre 2 1/4 acre
------------ = -------------------------
3 days x days
using cross products
1/2 * x = 2 1/4 * 3
change 2 1/4 to an improper fraction (4*2+1)/4 =9/4
1/2 x = 9/4*3
1/2x = 27/4
multiply each side by 2
2 * 1/2 x = 27/4 * 2
x = 27/2
change back to a mixed number
x = 13 1/2
Answer:
The numbers are 20 and 140
Step-by-step explanation:
<u><em>The question in English is</em></u>
Find 2 numbers knowing that the second number is 7 times greater than the first, and the sum between the double of the first number and the triple of the second is 460
Define the variables
Let
x ----> the first number
y ----> the second number
we know that
-----> equation A
----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B

solve for x



<em>Find the value of y</em>
---->
The numbers are 20 and 140
Answer: A) 1260
Step-by-step explanation:
We know that the number of combinations of n things taking r at a time is given by :-

Given : Total multiple-choice questions = 9
Total open-ended problems=6
If an examine must answer 6 of the multiple-choice questions and 4 of the open-ended problems ,
No. of ways to answer 6 multiple-choice questions
= 
No. of ways to answer 4 open-ended problems
= 
Then by using the Fundamental principal of counting the number of ways can the questions and problems be chosen = No. of ways to answer 6 multiple-choice questions x No. of ways to answer 4 open-ended problems
= 
Hence, the correct answer is option A) 1260