MATHEMATICS MIDDLE SCHOOL

A. (-4, 10) and (-3,9)
The rate of change between these two points is

Answers

Answer 1
Answer: The answers is 2 units

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45 = 9(W - 4)Leave steps​

A coin is tossed and a number cube labelled 1 to 6 is rolled. How many equally likely outcomes are there? PLZZZZ HELP MEEE!!!!! AND EXPLAIN PLZ

Answers

Twelve outcomes, six for each coin side.

Help this may be the last time

Answers

i think the first is 107 and the second is 2. i’m not sure about the last two blanks but if they’re asking if it’s equivalent or not i think it is

A 500 g model train car traveling at 0.8 m/s collides with a 300 g stationary car. The cars hook up and move off down the track together. How fast are they going? ( also how do I do it )

Answers

Answer:

0.5ms^(-1)

Step-by-step explanation:

Let v be the speed after the collision of both the cars.

Now, momentum is given by: mass × velocity, then by equating the total momentum before and after the collision of the two cars, we get

500{*}0.8+300{*}0=(500+300)v

⇒400+0=800v

⇒400=800v

⇒v=0.5ms^(-1)

Thus, they are moving at the velocity of 0.5ms^(-1)

Answer:

0.5 m/s

Step-by-step explanation:

A 500 g model train car traveling at 0.8 m/s collides with a 300 g stationary car.

Initial velocity of train, v_T=0.8\ m/s

Initial velocity of car, v_C=0\ m/s

Mass of train, m_T=500\ g

Mass of car, m_C=300\ g

The cars hook up and move off down the track together.

Let the final velocity of car and train, v_T=v_C=v

Using conservation of momentum,

Momentum before collision = Momentum after collision

m_T* v_T+m_C* v_C=(m_T+m_C)* v

500* 0.8+300* 0=(500+300)* v

v=(400)/(800)

v=0.5\ m/s

Hence, After collision they will going with 0.5 m/s

Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450450450 kilograms (\text{kg}kgstart text, k, g, end text), but Renna and her load of identical packages mass a total of 620\,\text{kg}620kg620, start text, k, g, end text. Each package has a mass of 37.4\,\text{kg}37.4kg37, point, 4, start text, k, g, end text.Write an inequality to determine the number of packages, ppp, Renna could remove from the elevator to meet the mass requirement.
What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?

Answers

Answer:

Part A. 37.4p  ≥ 170

Part B. p  ≥ 5 (rounding to the next whole)

Renna needs to remove at least 5 packages from the elevator to meet the mass requirement.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mass limit for the elevator = 450 kg

Renna and her load of packages mass = 620 kg

Each package mass = 37.4 kg

2. Write an inequality to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.

Number of packages * Each package mass ≥ Renna and her load of packages mass - Mass limit for the elevator

Replacing with the values and variables we know:

p * 37.4 ≥ 620 - 450

37.4p  ≥ 170

3. What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?

Solving for p in the equation above, we have:

37.4p  ≥ 170

p  ≥ 170/37.4

p  ≥ 4.55

p  ≥ 5 (rounding to the next whole)

What are three ways a rectangle and a square are alike

Answers


-- Each has 4 sides.
-- Opposite sides of each are parallel.
-- Opposite sides of each have equal length.
-- Interior angles of each sum to 360 degrees.
-- Each is a special case of parallelogram.
-- Each has all interior angles equal.
-- Area of either one is (length) x (width).
Rectangles and squares are alike in that both have two pairs of parallel sides and four right angles. They are different because a square must have four equal sides lengths and a rectangle has two pairs of equal side lengths.

What is the volume of the rectangular prism?a rectangular prism with a length of ten centimeters, a width of four centimeters, and a height of two centimeters

70 cm3
80 cm3
90 cm3
100 cm3
Question 2(Multiple Choice Worth 4 points)
(10.03 LC)

What is the volume of the rectangular prism?

a rectangular prism with a length of five inches, a width of three inches, and a height of three inches

25 in3
35 in3
45 in3
55 in3
Question 3(Multiple Choice Worth 4 points)
(10.03 LC)

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?

28 m3
38 m3
44 m3
48 m3
Question 4(Multiple Choice Worth 4 points)
(10.03 MC)

Which boxes have a volume of 120 cubic feet?

Box A: length of 5 ft, width of 4 ft, height of 6 ft
Box B: length of 7 ft, width of 7 ft, height of 6 ft
Box C: length of 3 ft, width of 6 ft, height of 4 ft
Box D: length of 10 ft, width of 3 ft, height of 4 ft

A, B
A, D
B, C
B, D
Question 5(Multiple Choice Worth 4 points)
(10.03 LC)

What is the volume of the rectangular prism?

a rectangular prism with a length of eight inches, a width of four inches, and a height of three inches

96 in3
98 in3
106 in3
116 in3
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Answers

Answer:

\large\boxed{Q1.\ 80\ cm^3}\n\boxed{Q2.\ 45\ in^3}\n\boxed{Q3.\ 48\ m^3}\n\boxed{Q4.\ A,\ D}\n\boxed{Q5.\ 96\ in^3}

Step-by-step explanation:

\text{The formula of a volume of a rectangular prism:}\n\nV=lwh\n\nl-length\nw-width\nh-height

\bold{Q1}\n\nl=10\ cm,\ w=4\ cm,\ h=2\ cm\n\nV=(10)(4)(2)=80\ cm^3\n\n\bold{Q2.}\n\nl=5\ in,\ w=3\ in,\ h=3\ in\n\nV=(5)(3)(3)=45\ in^3\n\n\bold{Q3.}\n\nl=4\ m,\ w=2\ m,\ h=6\ m\n\nV=(4)(2)(6)=48\ m^3\n\n\bold{Q4.}\n\nV=120\ ft^3\n\n\bold{A:(5)(4)(6)=120}\nB:\ (7)(7)(6)=294\nC:\ (3)(6)(4)=72\n\bold{D:\ (10)(3)(4)=120}\n\n\bold{Q5.}\n\nl=8\ in,\ w=4\ in,\ h=3\ in\n\nV=(8)(4)(3)=96\ in^3
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