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Mama L [17]
3 years ago
14

Select the number property that will justify the step in the following expression. 6 + (14 + 70) = (6 + 14) + 70 = 20 + 70 = 90

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0
  1. Commutative property        L
VLD [36.1K]3 years ago
6 0

Answer: Associative property of addition.

Step-by-step explanation:

The rule for the Associative property of addition is:

a + (b + c) = (a + b) + c

Therefore, this property establishes that it does not matter how you group the numbers, the sum will not change.

You can observe that, in this case, the numbers of the given addition can be grouped as 6 + (14 + 70) or (6 + 14) + 70, and the sum will be the same.

Then, you get:

6 + (14 + 70) = (6 + 14) + 70 = 20 + 70 = 90

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A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the bord
amid [387]

Answer:

width of the border is 3 inches

Step-by-step explanation:

Given data

size = 8 inches by 10 inches

area = 144 square inches

to find out

width of the border

solution

first we consider width of border is x

area of new full rectangle =  (8 + 2x ) × ( 10 + 2x )

so we know  area of photo = 8 × 10 = 80 square inches

and area of border = 144 square inches that is given

so new area of photo with the border is 80 + 144 = 224 square inches

and we can say that

area of full rectangle  - area of the photograph = Area of Border

(8 + 2x) × (10 + 2x) – (80) = 144  square inches

80 + 16x + 20x + 4x^{2} – 80 = 144

4x^{2} + 36x – 144 = 0

solve thios equation we get  

2x^{2} + 9x – 36 = 0

solve thios equation we get  

(x + 12) (x – 3) = 0  

so here x have two value one is negative and other is positive

so we consider only positive value

x = -12 or x = 3

width of the border is 3 inches

7 0
3 years ago
How would you write x+3y=3 in y=mx+b format
Triss [41]
X+3y=3
First add subtract the x
3y=-x+3
Then divide 3
Y=-1/3x+1
8 0
3 years ago
Read 2 more answers
The domain is ?<br> The range is ?
DIA [1.3K]

This is a quadratic equation, which is also a polynomial.  Polynomials all have the domain (-infinity, +infinity).

As for the range:  You can see from the graph that the smallest y-value is -2.  Thus, the range is [-2, infinity).

4 0
3 years ago
What is the right decimal
Delvig [45]
11/15=.7333333 so the one with the line above the 3 only
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Solve for the indicated variable in each scientific formula. c=wtc/1000 for w
Hitman42 [59]
First, multiply both sides by 1000
1000*c = w*t*c

Since c is on both sides, they would cancel each other out
1000 = w*t

Divide both sides by t.
w = 1000*t
6 0
3 years ago
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