Answer:
19, 58 and 103
Step-by-step explanation:
Okay. Here we need to convert whatever statements we have into a mathematical expression.
Firstly, let’s give the smallest angle a value of x. Where do we now go from here? The measure of one angle is 1 degree greater than 3 times the size of the smallest angle. This means the value of the second angle is 3x + 1
Now for the third angle, the question stated that the third angle is thirteen degrees less than twice the measure of the second angle. The value for this is: 2( 3x + 1) - 13
Now when we add all these angles, surely, we get a result equal to 180.
x + 3x + 1 + 2(3x + 1) - 13 = 180
4x + 1 + 6x + 2 - 13 = 180
10x - 10 = 180
10x = 190 and x = 19.
Now the measure of the other angles are as follows:
3x + 1 = 3(19) + 1 = 57 + 1 = 58
2(3x + 1) - 13 = 2(58) - 13 = 103
Basically you are finding the volume of a rectangular prism of 3 by 2 meters cross section and 30 meters length. Volume = (3 m)(2 m)(30 m) = 180 cubic meters.
If 60% of the water has evaporated, 40% is left. Find 40% of 180 cubic meters to answer the 2nd part of this question.
Answer:
2,500
Step-by-step explanation:
<h3><u>Place value , rounding </u></h3>
the place values of the number 2,472 is :
2 ---- thousands
4---- hundred
7--- tens
2--- units
when rounding off to the nearest hundreds we look at the 4 ( hundred ) and the value after it which is the 7 ( ten)
if the number in the (tens) position is greater than 5 , the number would be rounded up . else if it is lower than 5 it would be rounded down.
in this case the number in the tens position is 7 hence it is rounded up hence 2,472 becomes 2,500
<h3>hence the number 2,472 to the nearest hundred is: 2,500</h3>
Answer:
Around 115 apples
Step-by-step explanation:
Lets convert 6 lbs to ounces
1 pound is 16 ounces
6 lbs * 16 ounces/ 1 lbs = 96 ounces
We can use ratios to determine how many ounces we can get for 90 dollars
$15 $90
-------------- = ----------------
96 ounces x ounces
Using cross multiplication
15x = 90* 96
15x = 8640
Divide each side by 15
15x/15 = 8640/15
x =576 ounces
Now each apple is 5 ounces
576 ounces * 1 apples/5 ounces =576/5 = 115.2 apples
5/13 is the fraction of cousins that are male.