If the 5 of them weigh 1/4 of a ton
then 1 of them weigh x
5/1 = 1/4//x Do you see what happens? Just by writing down the givens you get a proportion. It will work better for you if you change the 1/4 to 0.25
5/1 = 0.25/x Now it looks like an ordinary proportion. Cross multiply
5x = 0.25*1 divide by 5
x = 0.25/5
x = 0.05 tons. We better change this to pounds.
1 ton = 2000 pounds
0.05 ton = x
1/0.05 = 2000/x Cross multiply
x = 2000 * 0.05
x = 100 pounds.
Answer:
The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Let
x ------> the length of the remaining side
Applying the triangle inequality theorem
1) x+x > 30
2x > 30
x > 15 in
The perimeter is equal to
P=30+2x
<em>Verify each case</em>
1) For P=41.0 in
substitute in the formula of perimeter and solve for x
41.0=30+2x
2x=41.0-30
x=5.5 in
Is not a solution because the value of x must be greater than 15 inches
2) For P=51.2 in
substitute in the formula of perimeter and solve for x
51.2=30+2x
2x=51.2-30
x=10.6 in
Is not a solution because the value of x must be greater than 15 inches
3) For P=72.4 in
substitute in the formula of perimeter and solve for x
72.4=30+2x
2x=72.4-30
x=21.2 in
Could be a solution because the value of x is greater than 15 inches
4) For P=81.2 in
substitute in the formula of perimeter and solve for x
81.2=30+2x
2x=81.2-30
x=25.6 in
Could be a solution because the value of x is greater than 15 inches
therefore
The smallest possible perimeter of the triangle, rounded to the nearest tenth is 72.4 in
Answer:
35, 39, 44, 52, 55, 57, 60, 69
Step-by-step explanation:
Composite numbers have multiple factors other than 1 and itself.
