Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What is the volume of a cord of wood in cubic feet? A. 3,456 cu. ft. B. 4.74 cu. ft. C. 128 cu. ft. D. 64 cu. ft
Answers
Answer: C. 128 cu. ft.
Step-by-step explanation:
We know that the volume of a rectangular prism is given by :-
Given : The dimensions of the cord of wood is a bundle : 4 feet by 4 feet by 8 feet.
Then , the volume of a cord of wood will be :-
Hence, the volume of a cord of wood = 128 cu. ft.
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Answers
The price of the fries would be $2.50, the price of the drink would be $2.50, and the price of the cheeseburger wold be $7.50.
We can write a set of equations to represent the prices, if 'f' is fries, 'd' is drink, and 'c' is cheeseburger:
c = 3f
f = d
Using these equations, we can then write out the sum of the items also, as it would be c + f + d = 12.50, but as we know that c = 3f and d = f, we can write it as 3f + f + f = 12.50, and then solve:
3f + f + f = 12.50
5f = 12.50
÷ 5
f = $2.50
Now that we know the price of the fries, we know that the price of the drink is the same, so the drink is also $2.50. Then, we can multiply 2.50 by 3 as we know that the cheeseburger is 3 times the cost of the fries, and 2.50 × 3 = 7.50.
I hope this helps!
The price of the cheeseburger was given in terms of the price of the fries, so let's start by choosing a variable to represent the price of the fries.
Let x = price of fries
Then price of cheeseburger = 3x
Price of drink = x
The cost of the three items is the sum of their prices: x + 3x + x = 5x
The cost is $12.50, so 5x must equal $12.50. That gives us our equation.
5x = 12.5
x = 2.5
The fries and the drink cost $2.50 each.
3x = 3(2.5) = 7.50
The cheeseburger cost $12.50.
Answer: Cheeseburger: $7.50 Fries: $2.50 Drink: $2.50
Answers
-- calculate the volume of the bowl
-- calculate the volume of the ladle
-- divide the volume of the bowl by the volume of the ladle
and we may even start down that path. But we soon realize that
it's going to be painful and take a lot of time. So we stop right
where we are, and consider our options.
We have two options:
#1). Give up, quit, and walk away.
#2). Find a smarter way to do it.
Look at the formula for the volume of a sphere:
Volume = (4/3 π) (radius³) .
Do you see that ? The radius³ is a factor in the volume of
everysphere. That means that if you multiplythe radius
of a sphere by (a number),the volume of the sphere gets
multiplied by (the same number)³ !
How does that help us with this problem ? Well, it alsomeans
that the ratio of the volumes of two spheres is
(the ratio of their radii)³.
Radius of the bowl = 15 inches
Radius of the ladle = 4 inches
Ratio of their radii = (15/4) = 3.75
So the bowl holds (3.75)³ as much as the ladle holds.
(3.75)³ = 52.73 ...
The bowl holds 52.73 ... times as much as the ladle.
After Grandma Edith scoops 52 ladle-fulls from the bowl,
there will be less than 1 ladle-full remaining in there.
And we did it all without even knowing π .
Volume (half sphere)=(1/2)(4/3)πr³=2/3πr³
radius=30 cm / 2=15 cm
Volume=(2/3)π(15 cm)³=2250π cm³
2) we calculate the volume of the ladle:
radius=8 cm/2=4 cm
Volume=(2/3)π(4 cm)³=128π/3 cm³
3) we calculate the number of ladles by the rule of three.
1 ladle----------------------128π/3 cm³
x------------------------------2250π cm³
x=(1 ladle * 2250π cm³) / (128π/3 cm³)=52.73 ladles≈52 ladles
Answer: 52 ladles.
Answers
So the answer would be 58.65(1.15)=67.4475
Did you understand why I multiplied by 1.15
Answers
Answer:
55°
Step-by-step explanation:
Draw the diagram according to the given data (see attached diagram).
In this diagram,
- line AC is runway A;
- line BD is runway B;
- line AB is runway C.
Note that ∠GCH=35°
Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.
Angles CDI and BDE are vertical angles, so angles CDI and BDE are congruent as vertical angles.
Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so
m∠BED=90°-m∠BDE
m∠BED=90°-35°=55°
Answers
Answers
Answer:
280
Step-by-step explanation:
2/3 x 42=28
28 x 10 = 280
2/3 x 42 = 28
28 x 10 = 280