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Nookie1986 [14]
3 years ago
7

Two different ways to find the difference for 12-3

Mathematics
2 answers:
Gennadij [26K]3 years ago
8 0
For this case we have:

 way 1:
 
Common factor 3 in the expression:
 12-3 = 3 (4-1)

12-3 = 3 (3)

12-3 = 3 (9)

 Way 2:
 
Write the number 12 as the sum of 4 times 3:
 12-3 = (3 + 3 + 3 + 3) - 3

 Then, for associative property:
 12-3 = 3 + 3 + 3 + (3 - 3)

12-3 = 3 + 3 + 3 + (0)

12-3 = 3 + 3 + 3

12-3 = 9
Scrat [10]3 years ago
7 0
12-3=9
9+3=12
12-9=3

I hope this helped!
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Which statement is true about the graphs of the two lines y = -5/4x + 2 and y =-5/4 x-1/2 ?
oksian1 [2.3K]

Answer:

They are both parallel lines

Step-by-step explanation:

they both have the slope of -5/4

8 0
3 years ago
Jenny and Natalie are selling cheesecakes for a school fundraiser. Customers can buy chocolate cakes and vanilla cakes. Jenny so
IrinaVladis [17]

The cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

<em><u>Solution:</u></em>

Let "c" be the cost of 1 chocolate cake

Let "v" be the cost of 1 vanilla cake

<em><u>Jenny sold 14 chocolate cakes and 5 vanilla cakes for 119 dollars</u></em>

Therefore, we can frame a equation as:

14 x cost of 1 chocolate cake + 5 x cost of 1 vanilla cake = 119

14 \times c + 5 \times v=119

14c + 5v = 119 ------- eqn 1

<em><u>Natalie sold 10 chocolate cakes and 10 vanilla cakes for 130 dollars</u></em>

Therefore, we can frame a equation as:

10 x cost of 1 chocolate cake + 10 x cost of 1 vanilla cake = 130

10 \times c + 10 \times v = 130

10c + 10v = 130 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

28c + 10v = 238 ------ eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

28c + 10v = 238

10c + 10v = 130

( - ) --------------------------

18c = 108

c = 6

<em><u>Substitute c = 6 in eqn 1</u></em>

14(6) + 5v = 119

84 + 5v = 119

5v = 119 - 84

5v = 35

v = 7

Thus cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

8 0
2 years ago
A rectangular deck has an area of 320ft^2. the length of the deck is 4 feet longer than the width. find the dimensions of the de
Digiron [165]
A = L * W
A = 320
L = W + 4

320 = W(W + 4)
320 = W^2 + 4W
W^2 + 4W = 320
W^2 + 4W + 4 = 320 + 4
(W + 2)^2 = 324
W + 2 = (+-) sqrt 324
W = -2 (+-) 18

W = -2 + 18 = 16 ft <== this is the width
W = -2 - 18 = -20....not this one because it is negative

L = W + 4
L = 16 + 4
L = 20 ft <=== this is the length

in summary...the width is 16 ft and the length is 20 ft 

7 0
3 years ago
A shipping carton in the shape of a rectangular prism has a volume of 756 cubic inches the base area of the shipping carton is 4
coldgirl [10]
The answer would be a height o 18 inches. how you figure that is by taking the total cubic inches and divide by the base number which is 42 inches. 756 divided by 42 is 18. and to check your answer multiply.  18 times 42 equals 756.
8 0
3 years ago
Read 2 more answers
Please can someone explain and help me I am giving away 14 points the question is in the image
Tems11 [23]

Answer:

The area is 67.36 cm squared

Step-by-step explanation:

The height is 8.982. The base is 15. 8.982 * 15 = 134.73 / 2 = 67.36

5 0
2 years ago
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