Answer:
true
Step-by-step explanation:
5x + 4x = 9x
3y + 7y = 10y
8 + 34 = 42
 
        
                    
             
        
        
        
Answer:
<h2><em>
A = 75 in²</em></h2>
Step-by-step explanation:
We have the rectangle and the right triangle.
The formula of an area of a rectangle:
<em>A = lw</em>
<em>l</em> - length
<em>w </em>- width
We have <em>l = 10 in</em> and <em>w = 5 in</em>. Substitute:
<em>A = (10)(5) = 50 in²</em>
The formula of an area of a triangle:
<em>A = 1/2 bh</em>
<em>b</em> - base
<em>h</em> - height
We have <em>b = 5 in</em> and <em>h = 5 in + 5 in = 10 in</em>. Substitute:
<em>A = 1/2(5)(10)=1/2(50)=25 in²</em>
The area of figure:
<h3><em>
A = 50 in² + 25 in² = 75 in²</em></h3>
 
        
             
        
        
        
Answer:
 5/7 or .714
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
- Architect - $83000
- Lawyer - $128000
Step-by-step explanation:
- Salary of a lawyer = l
- Salary of an architect = a
<u>According to the question we have:</u>
- l = 2a - 38000
- l + a = 211000
<u>Substitute l into the second equation and solve for a:</u>
- 2a - 38000 + a = 211000
- 3a = 211000 + 38000
- 3a = 249000
- a = 249000/3
- a = 83000
<u>Find the value of l:</u>
- l = 211000 - 83000
- l = 128000
 
        
             
        
        
        
Answer: 8 1/4 miles
Step-by-step explanation:
I think your question isn't well written and should be:
Nathan jogged 2 1/4 miles on Monday. On Wednesday, he jogged 3 1/3 miles and on Friday, he jogged 2 2/3 miles. How far did Nathan jog altogether?
This will be:
= 2 1/4 + 3 1/3 + 2 2/3
= 2 3/12 + 3 4/12 + 2 8/12
= 7 15/12
= 7 + 1 3/12
= 8 3/12
= 8 1/4 miles