Answer:
The proportion <u>1 L : 0.26 gal = x L : 12500 gal</u>.
Step-by-step explanation:
Given:
A fountain holds 12,500 gallons of water.
1 L = 0.26 gal
Now, to get the proportion to solve for the number of litres.
<em>On solving :</em>
Therefore, the proportion <u>1 L : 0.26 gal = x L : 12500 gal</u>.
Answer:
step 1. b = 102° (vertical angles)
step 2. one complete revolution equals 360°
step 3. a + b + c + 102 = 360
step 4. a + 102 + c + 102 = 360
step 5. a + c = 156°
step 6. 2a = 156 (vertical angles are equal)
step 7. a = 78°, c = 78°.
The exponents distribute over factors:
so, you have
Let's focus on each factor: applying the definition of negative exponents, you have
While for the power of 10, you can use the following rule
to write
So, the expression evaluates to
Answer:
y = x / 7
Step-by-step explanation:
For us to get direct variation equation, we must introduce a constant term.
If y varies directly as x:
y ~ x
y = Kx
Where K, is the introduced constant.
Now let's solve to get a direct variation equation.
When y=3 , x=21
We substitute, y=3 and x=21 in the
y = Kx
3 = K 21
Divide both sides by 21
3 / 21 = K 21/ 21
K = 3/21
K = 1 / 7
Therefore, we introduce K = 1 / 7 into the mother equation.
y = 1/7 * x
y = x / 7
The direct variation equation for the situation:
y = x / 7
The total cost is $41.85
Amount Saved = 45 x 7 / 100
Amount Saved = 315 / 100
Amount Saved = $3.15 (answer).
In other words, a 7% discount for a item with original price of $45 is equal to $3.15 (Amount Saved).
Note that to find the amount saved, just multiply it by the percentage and divide by 100.
