21 answers
(click or scroll down)
Mr. Imani wants to purchase paper and notebooks for his classroom. At Dollar Discount he can buy packs of paper, p, for $1.25 each and notebooks, n, for $2.50 each. this is modeled by 1.25p + 2.50n. evaluate p = 10 and n = 30 to find how much it will cost Mr. Imani to purchase 10 packs of paper and notebooks.
A - $87.50
B - $62.50
C - $450.00
D - $43.75
Bot GPT 3.5
answered
To find out how much it will cost Mr. Imani to purchase 10 packs of paper and notebooks, we need to substitute p = 10 and n = 30 into the given expression 1.25p + 2.50n.
1.25(10) + 2.50(30)
= 12.50 + 75
= 87.50
Therefore, the answer is A - $87.50.
valentine
answered
The formula for finding the volume of a square prisim is s2h, where s is the length of each side of the square base and h is the height of the prisim. Evaluate to find the volume given values of s = 4 and h = 6.
96
144
48
576
Bot GPT 3.5
answered
To find the volume of the square prism, we can substitute s = 4 and h = 6 into the given formula s²h.
(4²) * 6
= 16 * 6
= 96
Therefore, the volume of the square prism is 96 cubic units. The answer is A - 96.
valentine
answered
Each month Ms. tanaka is paid a base salary of $2,500 in addition to $100 for each television that she sells. This is modeled by 2,500 + 100t, where t represents the number of televisions. Evaluate for t = 12 to find how much Ms. Tanaka will earn for selling 12 televisions this month.
$2,612
$3,700
$31,200
$2,600
Bot GPT 3.5
answered
To find how much Ms. Tanaka will earn for selling 12 televisions this month, we need to substitute t = 12 into the given expression 2,500 + 100t.
2,500 + 100(12)
= 2,500 + 1,200
= 3,700
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month. The answer is B - $3,700.
valentine
answered
Robert is preparing a poster-board presentation. He wants to make a decorative pattern with 10 squares to fill part of the poster. the area of the poster board is 720 square inches. To find how much space Robert will have left for his presentation if he uses squares with 7-inch sides, evaluate 720 - 10s2 when s = 7.
580
230
34790
9940
Bot GPT 3.5
answered
To find how much space Robert will have left for his presentation, we need to substitute s = 7 into the expression 720 - 10s².
720 - 10(7²)
= 720 - 10(49)
= 720 - 490
= 230
Therefore, Robert will have 230 square inches of space left for his presentation. The answer is B - 230.
valentine
answered
Mr. Rodriguez has a vegetable garden that borders his house. He wants to put a fence around it. It costs $7 per yard for the matireals. Evaluate 7 (l + 2w), Where l is the length and w is the width of his garden, to find the cost for a garden that has a length of 5 yards and a width of 2 yards.
$98
$16
$39
$63
Bot GPT 3.5
answered
To find the cost of the fence for Mr. Rodriguez's garden, we need to substitute l = 5 and w = 2 into the expression 7(l + 2w).
7(5 + 2(2))
= 7(5 + 4)
= 7(9)
= 63
Therefore, the cost for a garden that has a length of 5 yards and a width of 2 yards is $63. The answer is D - $63.
valentine
answered
you are told 3 things 1 that there are two objects with equal masses. 2 both objets are in motion. 3 one object has a greater kinetic energy than the other. how is this possible?
Bot GPT 3.5
answered
This scenario is possible because kinetic energy depends not only on mass but also on velocity. The formula for calculating kinetic energy is KE = (1/2)mv^2, where m is the mass and v is the velocity.
Therefore, even if two objects have equal masses, they can have different velocities. Since kinetic energy is directly proportional to velocity squared, if one object has a greater velocity than the other, it will have a greater kinetic energy.
valentine
answered
A - one object has a greater speed
B - one object has a greater volume
C - one object is blue
D - one object has a greater density
Bot GPT 3.5
answered
The correct answer is A - one object has a greater speed.
As mentioned before, kinetic energy is directly proportional to velocity squared. So, if two objects have equal masses and one of them has a greater velocity (or speed), it will have a greater kinetic energy. The other options (B - one object has a greater volume, C - one object is blue, and D - one object has a greater density) are not directly related to kinetic energy.
valentine
answered
a large truck and small car are moving at the same speed, travelling up and downhill, and over bumpy roads. which one has more kinetic energy?
Bot GPT 3.5
answered
The large truck would have more kinetic energy compared to the small car.
Kinetic energy depends on both the mass and velocity of an object. Assuming that the large truck has a greater mass compared to the small car, and they are both moving at the same speed, the large truck would have more kinetic energy due to its greater mass.
valentine
answered
A - car with a mass of 500 kg moving at 30 m/s
B - car with a mass of 500 kg movng a 3 m/s
C - a car with a mass of 500kg moving at 21 m/s
D - a car with a mass of 500 kg moving at 12 m/s
(Which car has the greatest kinetic energy?)
Bot GPT 3.5
answered
To determine which car has the greatest kinetic energy, we can calculate the kinetic energy for each scenario using the formula KE = (1/2)mv^2, where KE is the kinetic energy, m is the mass, and v is the velocity.
For scenario A:
KE = (1/2)(500 kg)(30 m/s)^2 = 225,000 J
For scenario B:
KE = (1/2)(500 kg)(3 m/s)^2 = 2,250 J
For scenario C:
KE = (1/2)(500 kg)(21 m/s)^2 = 110,250 J
For scenario D:
KE = (1/2)(500 kg)(12 m/s)^2 = 36,000 J
Based on these calculations, we can conclude that scenario A - a car with a mass of 500 kg moving at 30 m/s - has the greatest kinetic energy of 225,000 J.
valentine
answered
Which object has more kinetic energy? One weights 60 kg And Is going at the speeds of 5 m/s. The other object weighs 4 kg And is moving at 5 m/s.
Bot GPT 3.5
answered
To determine which object has more kinetic energy, we can calculate the kinetic energy for each object using the formula KE = (1/2)mv^2, where KE is the kinetic energy, m is the mass, and v is the velocity.
For the first object:
KE1 = (1/2)(60 kg)(5 m/s)^2 = 750 J
For the second object:
KE2 = (1/2)(4 kg)(5 m/s)^2 = 50 J
Based on these calculations, we can conclude that the first object with a weight of 60 kg and moving at 5 m/s has more kinetic energy, with 750 J compared to the second object with a weight of 4 kg and moving at 5 m/s with 50 J.
valentine
answered
somebody jumps off a plane and begins to accelerate. their speed increases by 20 m/s then 30 m/s. their acceliration slows untill they reach aconstant speed of 50 m/s. which statement correctly describes their kinetic energy during this time?
A - his kinetic energy would remain the same for the whole fall as long as he lost no mass
B - his kinetic energy increased quickly at first then it increased at a constant rate.
C - his kinetic energy increased while his speed increases, then it became constant.
D - his kinetic energy was positive at first but it decreased to zero when he stopped accelerating.
Bot GPT 3.5
answered
The correct statement that describes the kinetic energy during this time is C - his kinetic energy increased while his speed increases, then it became constant.
Kinetic energy is directly proportional to the square of the velocity (KE = (1/2)mv^2). As the speed of the person increases, their kinetic energy also increases. However, once they reach a constant speed of 50 m/s, their kinetic energy remains constant because their velocity is not changing.