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Ket [755]
4 years ago
8

Definition of the identity property of addition and the commutative property of addition

Mathematics
2 answers:
ICE Princess25 [194]4 years ago
7 0

The identity property of addition states that if we add zero to any number, then the sum is equal to the original number.

For example, the identity property tells us that 5 + 0 = 5.

In general terms, the identity property of addition can be written as followed.

a + 0 = a

This means that "a" is a variable that represents any number.

The commutative property of addition states that changing the order of the addends does not affect the sum.

For example, 2 + 3 = 3 + 2.

No madder what side we do, they both equal 5.

Novay_Z [31]4 years ago
6 0
Let x, y be numbers.
The addition identity property states that 0 + x = x.
The commutative property states that x + y = y + x
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(Question Is In The Picture, Kinda Bad)
11111nata11111 [884]

Answer:

72 cupcakes

Step-by-step explanation:

Morgan can make 4 cupcakes with one cup of flour. She has 18 cups of flour and suppose she can make x cupcakes, then

1 cup of flour - 4 cupcakes

18 cups of flour - x cupcakes

Write a proportion:

\dfrac{1}{18}=\dfrac{4}{x}

Cross multiply:

1\cdot x=18\cdot 4\\ \\x=72\ cupcakes

5 0
3 years ago
Bill earns $12 per hour and works at most 40 hours per week. Identify the independent and dependent quantity in the situation, a
sesenic [268]
Independent: number of hours worked
Dependent: income earned
Domain: between 0 and 40 hours
Range: between 0 and 480$
3 0
3 years ago
Read 2 more answers
Can you help me? xy - 5 at x = 5, y = 2( pls show work)
r-ruslan [8.4K]

Answer:

5

Step-by-step explanation:

xy-5

plug in 5 for x and 2 for y

5*2-5

multiply

10-5

subtract

5

4 0
3 years ago
Read 2 more answers
Using the rule y = 2x + 3, find the value of y when x is 3.<br> A) 0 <br> B) 8 <br> C) 9 <br> D) 12
tia_tia [17]
Hi there.

Y = 2x + 3
Solve for y when x = 3
The first thing we need to do is replace x by the 3 in the equation.
Y = 2(3) + 3
Y = 6 + 3
Y = 9
Thus, your answer is : C
7 0
3 years ago
Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
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