Answer:
244
Step-by-step explanation:
fraction fraction 1/2 the quotient of 734 and 246
 
        
                    
             
        
        
        
Answer:
There are 26 purple marbles in the bag. 
Step-by-step explanation:
1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so: 
p+b = 41
2) we want to know how many purple marbles we have, so let's rearrange for p: 
p = 41 - b
3) Our problem gives us an expression for the purple marbles in terms of the blue,  let's write it using math symbols instead of words: 
<em>"The number of purple marbles is 4 less than 2 times the number of blue marbles."</em>
so: p = 2b - 4
3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b 
p = 41 - b
2b - 4 = 41 - b     (substitution) 
2b = 45 - b         ( add 4 to both sides) 
3b = 45               (add b to both sides)
b = 15                  (divide both sides by 3) 
4, last step!) 
Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have. 
41- 15 = 26 purple marbles 
 
        
             
        
        
        
Answer:
See explanation below.
Step-by-step explanation:
Given: 100 lbs on Earth is 16.6 lbs on the moon.
a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.
b. An equation that relates the weight of someone on the Moon who travels to the Earth:
100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:
Moon Weight * 6.02 = Earth Weight.
Proof:
16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.
c. A 185 lb astronaut on Earth would weigh:
16.6 / 100 = .166. Take the Earth weight and multiply by .166:
185 * .166 = 30 lbs on the Moon.
d. A person who weighs 50 lbs on the Moon:
50 * 6.024 = 301.2 lbs on Earth.
Hope this helps! Have a good day and year! :)
 
        
             
        
        
        
Answer:
the picture can't clean. so I can't solve the problem
 
        
                    
             
        
        
        
Answer:
y is also doubled.
Step-by-step explanation:
Direct proportionality between  and
 and  means that
 means that 

or
 ,
,
which indicates a linear relationship between   and
 and  because they are related by a constant.
 because they are related by a constant. 
Therefore, if x is doubled, then the new value of  is
 is 



The new value of  is 2 times the previous; therefore,
 is 2 times the previous; therefore,  is doubled as
 is doubled as  is doubled.
 is doubled.