Answer:
7/15 km
Step-by-step explanation:
Find the least common denominator between the two fractions. The least common denominator in this case would be 15, so you have to multiply 1/3 by 5 to have a denominator of 15. Then you multiply 1/5 by 3 to have a denominator of 15. You will find that Mark ran a distance of 2 5/15 km and Shaun ran 3 3/15 km. To make it even easier, you can add the whole number back into the fraction so Mark will have ran 35/15 km and Shaun will have ran 48/15 km meaning that Shaun will have ran more. Then you set you fractions up and subtract them.
Answer:
<h2>length = 159 yards</h2><h2>width = 42 yards</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 402 yards
The statement
the length of the field is 9 yards less than quadruple the width is written as
l = 4w - 9
Substitute this is expression into the above formula and solve for the width
That's
402 = 2( 4w - 9) + 2w
402 = 8w - 18 + 2w
10w = 402 + 18
10w = 420
Divide both sides by 10
<h3>w = 42</h3>
Substitute this value into l = 4w - 9
That's
l = 4(42) - 9
l = 168 - 9
<h3>l = 159</h3>
Therefore
length = 159 yards
width = 42 yards
Hope this helps you
Answer:
X would be x < 9
Step-by-step explanation:
You would do this equation like any other equation, but with the equal sign being greater or less than. So you would add 4 on both sides to get x < 9
Answer: x is 45, y is 80
Step-by-step explanation:
subtract the angles surrounding x (70 - 25 = 45)
add 45 + 55 to get 100
the entire triangle has to equal 180 degrees, so subtract 100 from 180 to get the value of y
Answer:
Step-by-step explanation:
sum of interior angles in a triangle is 180 degree
interior angles are (5x+3y)∘,(3x+20)∘, and (10y+30)
add all the angles and make it equal to 180
combine like terms
subtract 50 from both sides
