Pieces of yarn .... 1/8 yard long (each)
a piece of yarn ... n = 3 yards long
remaining ... 1 1/4 yards = 5/4 yards
If you would like to calculate how many 1/8 yard pieces can Sarah cut and still have 1 1/4 yards left, you can do this using the following steps:
n - 1 1/4 = <span>3 - 1 1/4 </span>= 3 - 5/4 = 12/4 - 5/4 = 7/4 = 1 3/4 yards
7/4 / 1/8 = 7/4 * 8/1 = 14 pieces
Result: Sarah can cut 14 1/8 yard pieces and still have 1 1/4 yards left.
Answer:
30,000
Step-by-step explanation:
7 is rounded up, so 2 + 1 is 3, therefore the answer is 30,000
Answer:
B
Step-by-step explanation:
3 out of 10 is smaller than 3 out of 5
Answer:
a. 
b. x = 4 (see steps below)
Step-by-step explanation:
Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:
Cross-multiply: 15(x + 3) = 21(x + 1)
Distribute: 15x + 45 = 21x + 21
Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21
Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x
Divide by 6 on both sides: 24/6 = 6x/6
Solve for x: x = 4
Answer:
<em>Writing 6(3x + 8) + 32 + 12x in 3 different ways:</em>
∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac
- w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80
- w₂ = 30x + 80 ∵ 18x + 12x = 30x
Step-by-step explanation:
As the expression is 6(3x + 8) + 32 + 12x, and we have to write it in three different ways. Using the properties of operations we can write it in three different ways,
Let way one be denoted as w₁
Let way two be denoted as w₂
Let way three be denoted as w₃
So, lets write 6(3x + 8) + 32 + 12x in 3 different ways:
∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac
- w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80
- w₂ = 30x + 80 ∵ 18x + 12x = 30x
<em>Keywords: operation properties, distributive law</em>
<em>Learn more about operation properties from brainly.com/question/13754344</em>
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