Step-by-step explanation:
I don't know if this is the right way to so it, but I would do it like this
since a triangle has 180 degrees, the angles all have to add up to 180
So 180 = a + b + c
we already know a, its 95
So 180 = 95 + b + c
now we know the equation for b, so we'll just put it there instead of the b, and since the angles are the same, we should put it instead of c too
180 = 95 + (4x-15) + (4x-15)
now subtract 95 from both sides
85 = (4x-15) + (4x-15)
add the xs and numbers together
85 = 8x - 30
now add the 30 to both sides
115 = 8x
divide by 8
your x is 14 3/8 or 14.375 or 115/8
that's not your angle, that's your x
Answer:A positive correlation is a relationship between two variables such that their values increase or decrease together.
Step-by-step explanation:
Answer:
n = 34.4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Set Up</u>
Let's let our number be set by variable <em>n</em>.
We add 7 to it: n + 7
We then double that entire expression: 2(n + 7)
That expression is equal to 82.8: 2(n + 7) = 82.8
<u>Step 2: Solve for </u><em><u>n</u></em>
- [Division Property of Equality] Divide 2 on both sides: n + 7 = 41.4
- [Subtraction Property of Equality] Subtract 7 on both sides: n = 34.4
∴ Caroline's original number is 34.4.
Answer:
Bus speed: 22 mph; Trolley speed: 14 mph
Step-by-step explanation:
Let rb represent the speed of the bus and rt the speed of the trolley. Then rb = rt + 8 (mph).
Recall that distance = rate times time. Two different distances and two different speeds are involved here, but only one time.
Thus,
60 mi 44 mi
--------------------- = time (same in both cases) = -------------
rt + 8 mi/hr rt
Cross-multiplying, we get 44rt + 8(44) = 60 rt, or
352 = 16rt.
Solving this for rt, we get rt = speed of bus = 352/16 = 22 mph
The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph
So to get the answer, we just add the number of bones in your hands and bones in your skull
1/4 (bones in hands) + 1/10 (bones in skull)
we can only add fractions that have the same denominator (bottom number in a fraction) so we change the numbers to have a common denominator:
5/20 + 2/20 = 7/20
so 7/20 of your bones are in your hands or skull