Answer:
x = 1/4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
B. 
Sam must hit at least 24 runs in 6th season to qualify for the home run trophy.
Step-by-step explanation:
Let H be number of runs Sam hits in 6th season.
We have been given that Sam wants to be named the greatest home run hitter of his baseball league. In the past 5 seasons he has hit 24, 20, 23, 20, and 21 home runs, respectively.
Let us find the number of runs scored by Sam adding the number of hits in his past 5 seasons.
We are told that to qualify for the home run trophy he must average at least 22 home runs in 6 seasons. So to qualify this season Sam's average must be greater than or equal to 22.
We can represent this information in an inequality as:
Let us solve our inequality to find the least number of runs Sam must hit to qualify.
Multiplying both sides of our inequality by 6 we will get,
Therefore, Sam must hit at least 24 runs this 6th season to qualify for the home run trophy.
Answer:
Length of smaller side = 15 inches
Length of bigger side = 36 inches
Length of hypotenuse = 39 inches
Step-by-step explanation:
Given:
Length of smaller side = a
Length of bigger side = (a + 21) inches
Length of hypotenuse = (a + 24) inches
Find:
Length of all side
Computation:
Using Pythagorean theorem
Hypotenuse² = Base² + Perpendicular²
(a+24)² = a² + (a+21)²
a² + 576 + 48a = a² + a² + 441 + 42a
a² - 6a - 135 = 0
(a-15)(a+7)
So
a = 15 inches a = -7 inches
So,
Length of smaller side = a = 15 inches
Length of bigger side = (a + 21) inches = 15 + 21 = 36 inches
Length of hypotenuse = (a + 24) inches = 15 + 24 = 39 inches
To answer this question we need to use subtraction.
we need to make the denominators the same.
In order to make them the same we need to find the least common multiple, of 8 and 5.
The least common multiple(the smallest shared value of the two numbers) is 40.
Next we divide our old denominator 5 by 40, which gives us 8, we multiply 8 by the numerator 2, which gives us 16. So now we have 16/20. We have to do the same to the other side. 8÷40 = 5. 5 x 3 = 15. Now we have 15/20.
Now we have a brand new equation, 16/40 - 15/40. The answer is 1/40.
In a fraction the answer is 1/40, so Karen rides her bike further.
In decimal form the answer is 0.025.
I hope this helps!
Answer:
It is not a right triangle
This is a scalene triangle
Step-by-step explanation:
A right triangle is a triangle in which one of the angles is a 90∘ angle. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
This cannot be obtuse b/c it does not add up to 180.
A triangle is scalene if all of its three sides are different (in which case, the three angles are also different).
