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3 years ago

Which expresión Is true and could you explain it

Mathematics

1 answer:

Verdich [7]3 years ago

8 0

First equation
L.H.S = 4x -0.25y
so it doesn't equal the R.H.S

2nd equation
R.H.S = 15q + 3qr
so it doesn't equal the L.H.S

3rd equation
R.H.S = -30m -60n
so R.H.S doesn't equal L.H.S

4th equation
L.H.S = -16a +4
so L.H.S equal R.H.S

The answer is D

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Suppose two 1-6 number cubes are rolled. find the probability of each outcome. P(1 or 5)

stich3 [128]

Answer:

The probability of each outcome rolling two numbered cubes is 1/36 or 2.8% (Rounding to the next tenth)

Step-by-step explanation:

Probability of each outcome with one cube = Number of favorable events for each outcome/Total number of possible events

Replacing with the real values, we have:

Probability of each outcome with one cube = 1/6

Probability of each outcome with two cubes = 1/6 * 1/6 = 1/36

The probability of each outcome rolling two numbered cubes is 1/36 or 2.8% (Rounding to the next tenth)

3 0

4 years ago

The map of a walking trail is drawn on a coordinate grid with three points of interest. The trail starts at R(−3, 2) and goes to

emmainna [20.7K]

Answer

Find out the the total length of the walking trail .

To prove

Formula

$Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} +( y_{2} - y_{1})^{2}}$

As given

The trail starts at R(−3, 2) and goes to S(2, 2) and continues to T(2, −5).

$RS = \sqrt{(2-(-3))^{2} +( 2 - 2)^{2}}$

$RS = \sqrt{( 2 - (-3))^{2}}$

$RS = \sqrt{5^{2}}$

$RS = \sqrt{25}$

$\sqrt{25} = 5$

RS = 5 units

As given

S(2, 2) and continues to T(2, −5).

Now

$ST = \sqrt{(2-2)^{2} +( -5-2 )^{2}}$

$ST = \sqrt{( - 7)^{2}}$

$ST = \sqrt{49}$

$\sqrt{49} = 7$

ST = 7 units

Therefore

Total length of the trail = RS + ST

= 5 units + 7 units

= 12 units

Therefore the total length of the trail is 12 units.

5 0

3 years ago

Read 2 more answers

Three baseball players are playing catch. Vondra is directly south of Mei and directly west of

Margaret [11]

distance of Vondra & Mei is 6 meters.

Step-by-step explanation:

Here we have , Three baseball players are playing catch. Vondra is directly south of Mei and directly west of Yoshi. Vondra and Yoshi are 8 meters apart and Yoshi and Mei are 10 meters apart. Let's analyze step by step:

Vondra is directly south of Mei : Vondra & Mei , are south to each other.

Vondra is directly west of Yoshi: Vondra & Yoshi , are west to each other.

Distance of Vondra & Mei = x = Perpendicular

Distance of Yoshi and Mei = 10 m = Hypotenuse

Distance of Vondra and Yoshi = 8 m = base

In order , to find distance of Vondra & Mei we use Pythagoras Theorem:

$10^{2} = x^{2} + 8^{2} \\10^{2} - 8^{2} = x^{2}\\100 - 64 = x^{2}\\x^{2} = 36\\x = 6m$ , ∴ distance of Vondra & Mei is 6 meters.