The ratio of cattle to horses on the ranch was 12 to 3. The combined number of cattle and horses was 960. How many horses are on
1 answer:
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The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs:
The hypotenuse is the side with the greatest length.
Check all options:
1. c=5, a=3, b=4:
true.
2. c=14, a=4, b=11:
false.
3. c=17, a=9, b=14:
false.
4. c=16, a=8, b=14:
false.
5. c=17, a=8, b=15:
true.
Answer: correct options are A and E.
Answer:
A ≈ 2 ft²
Step-by-step explanation:
The area (A) of a triangle using Heron's formula is
A =
where s is the semiperimeter and a, b , c the sides of the triangle.
s = =
=
= 4.5
Then
A =
=
=
≈ 1.9843...
= 2 ft² ( to the nearest square foot )
Answer:
11 miles.
Step-by-step explanation:
To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b
$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.
$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.
We know Brandon spent $6.80 on the cab ride. So, this is our y.
We get the equation: 6.80 = 0.40x + 2.25.
To solve, first subtract 2.25 from both sides of the equation:
6.80 - 2.25 = 0.40x + 2.25 - 2.25
We get: 4.55 = 0.40x
Now, just divide by 0.40 on both sides:
4.55 ÷ 0.40 = 0.40x ÷ 0.40
We get: 11.375 = x
So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 .
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