Answer:
60
Step-by-step explanation:
Bruce is 4 times as old as Indy
b = 4i
6 years ago, Bruce was 6 times as old as Indy
b - 6 = 6(i - 6)
b - 6 = 6i - 36
Substitute for b = 4i
4i - 6 = 6i - 36
Subtract 4i from both sides
-6 = 2i - 36
Add 36 to both sides
30 = 2i
Divide both sides by 2
15 = i
Since b = 4i
b = 4(15)
b = 60
Answer:
True
Step-by-step explanation:
No need for explanation
Answer:
x < 64
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Left to Right
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em /><em />
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Multiplication Property of Equality] Multiply 8 on both sides:
Here we see that any number <em>x</em> less than 64 would work as a solution to the inequality.
So, we want to first make this into equation form.
Say n = the number.
4 less:
-4
Than half a number
1/2n - 4
Is equal to 37 less
1/2n - 4 = -37
Than twice the number
1/2n - 4 = 2n - 37
So, move all like terms to the same side:
1/2n - 2n = -37 + 4
-1 1/2n = -34
/-1 1/2 /- 1 1/2
n = 22 2/3
Answer:
A)
B)
Step-by-step explanation:
AB has length a and is divided by points P and Q into AP , PQ , and QB , such that AP = 2PQ = 2QB
A) Therefore, AP = 2QB
QB = AP/2
The midpoint of QB = QB/2 = (AP/2)/2 = AP/4
AP = 2PQ, Therefore PQ = AP/2
Since the length of AB = a
AB = AP + PQ + QB = a
AP + AP/2 + AP/2 = a
AP + AP = a
2AP = a
AP = a/2
The distance between point A and the midpoint of segment QB = AP + PQ + QB/2 = AP + AP/2 + AP/4 = 7/4(AP)
But AP = a/2
Therefore The distance between point A and the midpoint of segment QB = 7/4(a/2)=
B)
the distance between the midpoints of segments AP and QB = AP/2 + PQ + QB/2 = AP/2 + AP/2 + AP/4 = 5/4(AP)
But AP = a/2
Therefore the distance between the midpoints of segments AP and QB = 5/4(AP) =