Which is the value of this expression when p = 3 and q = negative 9? ((p Superscript negative 5 Baseline) (p Superscript negativ
2 answers:
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21) Total number of cups: 26
6) Solution of the equation: x = -12
7) Father's age: 40
4) Distance driven: 400 miles
Step-by-step explanation:
21)
Let's call:
the height of each cup
the total height available in the dispenser
We are told that each cup added to the stack add a height of
We can therefore solve the problem by writing the following equation:
which means that the total height available (H) is filled by the height of one cup (h) + the number of additional cup multiplied by 0.8.
Solving for N:
And including the first cup, the total number of cups is
6)
The equation that we have to solve is
We proceed as follows:
First of all, we add +1 on both sides of the equation,
Now we multiply by 2 on both sides:
And now we divide both sides by 5:
7)
Let's call:
k = Karma's age
f = father's age
We are told that Karma is 13 years old, so
k = 13
Also, Karma's age is 2 years less than 3/8 of the father's age, so we can write
By combining the two equations,
And solving for f, we find:
So, the father's age is 40.
4)
Let's call:
T = 16 the total volume of the tank (16 gallons)
We also know that the car burns 0.03 gallons per mile, so the amount of fuel consumed after x miles is
This means that the amount of fuel left after x miles is
We also know that the amount of fuel left is 4 gallons, therefore:
So, 400 miles.
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The first one shows 1 cm and 7 mm, we need to convert 7 mm to cm
1 cm + 7 mm
= 1 cm +
cm
= 1 cm + 0.7 cm
= 1.7 cm
The first one is 1.7 cm
The second one shows 11 inches and 5/16 inches. Between number 11 and 12, there are 16 strips and the pointer lies on fifth strip, thus it show 5/16 inches. The second one is 11
inches.
The third one shows 13 cm and 8 mm. We need to convert mm into cm.
13 cm + 8 mm
= 13 cm + 0.8 cm
= 13.8 cm
The third one is 13.8 mm
1 cm + 7 mm
= 1 cm +
= 1 cm + 0.7 cm
= 1.7 cm
The first one is 1.7 cm
The second one shows 11 inches and 5/16 inches. Between number 11 and 12, there are 16 strips and the pointer lies on fifth strip, thus it show 5/16 inches. The second one is 11
The third one shows 13 cm and 8 mm. We need to convert mm into cm.
13 cm + 8 mm
= 13 cm + 0.8 cm
= 13.8 cm
The third one is 13.8 mm