Hello!
Say that n is the number. There are two parts to this statement. The first part is "four less than three times a number", and the second is "is three more than two times the number. An expression fitting the first part will go on the left side of the equation, and the second part will go on the right.
Look at the first part. "Four less than three times a number". The first thing being done here is the <u>three times a number.</u> This would be 3n, as it is 3 times n. Now, there is the <u>four less</u> part. You would therefore have to subtract 4 from 3n, to get 3n - 4.
Now the second part. "Is three more than two times the number". The first thing being done here is the <u>two times the number</u>. That would be 2n. The next is "is three more than". If the other side is three more than 2n, then you must add 3 to 2n to make them equivalent. Therefore, it would be 2n + 3.
Now, set them equal to each other, and solve.
3n - 4 = 2n + 3
3n - 2n = 3 + 4
n = 7
Therefore, your number is 7.
Hope this helps!
Answer:
10%
Step-by-step explanation:
The computation of the percentage of bulbs that switched on incandescent is as follows;
Let us assume the incandescent be I
And, the fluorescent be F
Now the equation is
0.4I + 0.9F = 0.8 (I+F)
0.41I + 0.9F = 0.8I + 0.8F
So here
0.4I = 0.1F
Now the percentage would be for incandescent in the case of switched on is
= 0.4I ÷ 0.8(I+F) × 100
= 0.1F ÷ 1F
= 10%
Answer:
Option C: 4
Step-by-step explanation:
<u>Use the Pythagorean Theorem:</u>





Therefore, the value of x is 4.
Answer:
42.9 x 3.45 = 148.005 exactly or 148 rounded
For this question, you need to find the price per unit. The unit in this case is a note, so we are looking for the price of each individual note in the package. The way we find this is by taking the price divided by the number of notes So package one would come out to be (9/18) or .50 dollars per note. Package two would come out to be (12/16) or .75 dollars per not. Package three would be (4/10) or .40 dollars per note. Your answer would simply the one with the lowest price per note, and in this case would be package three