Answer:
1,75 kg
Explanation:
1 kg = 1000 g
2.5 kg = 2.5 × 1000 g = 2500 g
2500 g - 750 g = 1750 g
1750 g = 1750 ÷ 1000 kg = 1.75 kg
Line 1 and line 4 are parallel
Step-by-step explanation:
Two lines are said to be parallel if they have same slope.
In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.
Line 1:

Applying distributive property,

Line 2:

Line 3:

Applying distributive property,

Line 4:

re-arranging,

Now we have rewritten all the lines in the form
, where m is the slope. By comparing the values of m, we see:

Therefore, the lines which are parallel are line 1 and line 4.
Learn more about parallel and perpendicular lines:
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Answer:
9 beads are purple
Step-by-step explanation:
we know that
To find out how many beads are purple, multiply the total beads by the fraction of the beads that are purple
so

therefore
9 beads are purple
Another way to solve the problem is convert the fraction in percentage
we have

so
If the total are 18 beads
50% is 9 beads
therefore
9 beads are purple
9514 1404 393
Answer:
$6307.95
Step-by-step explanation:
The compound interest formula can help with that.
A = P(1 +r/n)^(nt) . . . . value of principal P at rate r for t years, compounded n times per year.
P = A(1 +r/n)^(-nt) = $8000(1 +0.04/2)^(-2·6) = $8000(1.02^-12) = $6307.95
Momba needs to deposit $6307.95 today to have $8000 in 6 years.