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olchik [2.2K]
2 years ago
10

In the picture below and show steps or explain

Mathematics
1 answer:
telo118 [61]2 years ago
3 0

An operation that is done to a value and it stays the same, it is called the "identity property".

Some quick examples:

Adding any number with zero will result in the same number.

Multiplying any number with one will result in the same number.

Hope this helps!

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4) There are 4 marbles and 3 cubes in a board game. The marbles are black, blue, yellow, and red. The cubes are numbered 1, 2, a
krek1111 [17]

Answer:

<u>Here is the sample space, its size is 4*3 = 12:</u>

  • Black 1
  • Black 2
  • Black 3
  • Blue 1
  • Blue 2
  • Blue 3
  • Yellow 1
  • Yellow 2
  • Yellow 3
  • Red 1
  • Red 2
  • Red 3
3 0
2 years ago
Read 2 more answers
3x+4y=24 ,4x+3y=22 simultaneous equations simultaneous equ
Vinvika [58]

Answer:

x=64

y=54

Step-by-step explanation:

3x+4y=24 4(24-4y\3)+3y=22

x=24-4y/3 96-12y\3+3y=22

x=24-4(54)/3

x=-64 96/3-22=3y/3

y=54

4 0
2 years ago
Y Varies directly as X and inversely as Z. Y=100 when X=5 and Z=10 Find Y when X=3 and Z=60
Law Incorporation [45]

Answer:

y = 10

Step-by-step explanation:

based on the question if y  varries directly as x

mathematically

y ∝ x

also, y varries inversly as z can be mathematically expressed as

y ∝ 1/z

combining the two expressions

y ∝ x ∝ 1/z

i. e

y = kx/z..... where k is the constant of proportionality

make  k the subject of formulae

yz = kx

Divide both sides by x

k =yz/x

when y=100 , x = 5 z =10

k = 100 × 10/5

k = 200

to find y when x = 3 and z = 60

<h3>from the equation connecting x,y,z</h3>

k =yz/x

200 =60y/3

cross multiply

60y = 200 × 3

60y = 600

divide both sides by 60

y = 10

5 0
2 years ago
Samantha works at a bakery. The function f(x) = 3x2 − 5 represents the amount of money Samantha earns per cookie, where x is the
vfiekz [6]

Answer:

f(g(x)) = 15x³ - 5

Step-by-step explanation:

how confusingly described.

let me try and summarize what I understood :

f(x) = 3x² - 5

money earned when baking x cookies.

g(x) = sqrt(5x³)

the amount of cookies baked in x hours.

f(g(x)) now calculates how much money she earns when baking for x hours.

it is basically very simple : instead of f(x) we have f(g(x)), so g(x) is used as argument/variable in f instead of just plain x.

therefore,

f(g(x)) = 3×(sqrt(5x³))² - 5

with x now representing the baking hours, but f(...) calculating the overall money earned, by implicitly (!) calculating the amount of cookies baked in that time and taking that result automatically to calculate the earned money.

let's simplify this a little bit more.

f(g(x)) = 3×(sqrt(5x³))² - 5 = 3×(5x³) - 5 = 15x³ - 5

3 0
2 years ago
In Still Water, Peters Boat Goes 4 Times as Fast as the Current of the River. He Took a Trip 15 Miles Up the River, Then Came Ba
inn [45]

Answer:

2 km/h

Step-by-step explanation:

Let

Rate of river current = x km/h

Speed of Peter's boat = 4x km/h

He takes 15 km trip up (opposite direction)

His speed upstream = 4x - x

= 3x

His speed is 3x and distance is 15 km

Time = Distance / Speed

15/3x

= 5/x

And

Moving downstream (same direction)

Speed will be 4x + x = 5x

Distance = 15km,

speed = 5x

Time = Distance / Speed

= 15/5x

= 3/x

Total time take for trip = 4 hours

Total time take for trip = upstream + downstream

4 =5/x + 3/x

4 = 8/x

Cross product

4 * x = 8

x = 8/4

x = 2

Rate of river current = x km/h

= 2 km/h

3 0
3 years ago
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