Answer:
P in terms of V is:
P = 432/V
Step-by-step explanation:
We know that y varies inversely as x, we get the equation
y ∝ 1/x
y = k/x
k = yx
where k is called the constant of proportionality.
In our case,
P is inversely proportional to V
Given
P = 18
V = 24
so
P = k/V
k = PV
substituting P = 18 and V = 24 to determine k
k = 18 × 24
k = 432
now substituting k = 432 in P = k/V
P = 432/V
Therefore, P in terms of V is:
P = 432/V
Answer:
9. Triangle ABQ is congruent to Triangle BAP because of SAS congruency
10. x=5, y isn't shown anywhere
Step-by-step explanation:
9. The side AB is shared between the two triangles.
It is given that angle A and angle B are congruent.
It is given that AQ is congruent with BP.
Using these three, you can say that Triangle ABQ is congruent to Triangle BAP because of SAS congruency.
10. 7x-4=31 (given)
x=5
Do the same thing with y.
3) Answer: 8:9 (Defense:Offense)
16 and 18 need to be simplified. They're both divisible by 2, getting 8:9, and can't be simplified any more or they won't be whole numbers.
4) Answer: 1:3 (Hit:Bat times)
5 and 15 are divisible by 3, making 1 and 3.
5) Answer: 1:65 (Hours:Miles)
3 and 195 is divisible by 3. (195 is divisible by 3 because 1+9+5=15, getting the sum of numbers will get a smaller number, and if that number, 15 in this case, is divisible by 3, then the larger number is divisible by 3. 195/3=65, so 1:65
6) Answer: 1:3 (Potatoes:Servings)
8 and 24 is divisible by 8, getting 1 and 3.
Answer:
The first piece is 15 in and the second piece is 21 in
Step-by-step explanation:
5 + 7 = 12
3 ft = 3 x 12 in = 36 in
36 ÷ 12 = 3
5 x 3 = 15 7 x 3 = 21
The first piece is 15 in and the second piece is 21 in
Answer:
$5,376
$47,376
Step-by-step explanation:
Given :
Price of current model = $42,000
Percentage increase in price = 12.8%
Price increase in dollars :
12.8% of $42000
0.128 * $42000
= $5,376
Price of the next model :
Price of current model + increase in price
$42000 + $5376
= $47,376
