Answer:
<h2>1. 14 in</h2><h2>2. 28 in.</h2><h2>3. 43 in</h2>
Step-by-step explanation:
x 2x 3x + 1
|---------|-------------------|---------------------------|
|<-------------------- 85 in ------------------------>|
85 = x + 2x + 3x + 1
85 - 1 = 6x
x = 84 / 6
x = 14
1st piece = 14 in
2nd piece = 2(14) = 28 in
3rd piece = 3(14) + 1 = 43 in
----------------------------
total = 85 in
Answer:
B and D
Step-by-step explanation:
A terminating decimal differs from a repeating decimal in that ; terminating decimals have a finite number of numbers after a decimal point whereby repeating decimals Don not have a fine number of numbers after the decimal point.
Given :
A. 2/7 = 0.2857...
B. 3/2 = 1.5
C. 2/3 = 0.6666...
D. 3/5 = 0.6
E. 5/9 = 0.5555...
B and D are terminating decimal values.
<span>x^2 - 12x - 45
= (x - 15) (x + 3) .........</span><span>factored form</span>
Answer: Mark has 28 marbles while Don has 85 marbles.
Step-by-step explanation:
Let x represent the number of marbles that Mark has.
Let y represent the number of marbles that Don has.
If Don has 1 more than 3 times the number of marbles Mark has, it means that
y = 3x + 1
The total number of marbles is 113. It means that
x + y = 113- - - - - - - - - - - - 1
Substituting y = 3x + 1 into equation 1, it becomes
x + 3x + 1 = 113
4x + 1 = 113
4x = 113 - 1 = 112
x = 112/4
x = 28
y = 3x + 1 = 3 × 28 + 1
y = 85
Answer:
The first option .
Step-by-step explanation:
m must not be zero