Hi there! :)
Answer:
4/7 times 35, minus 8.5 is no more than 11.5
The number is : 35
Step-by-step explanation:
Let's replace "a number" by the letter "x" because that's what we are looking for.
4/7 × x = 4/7x
4/7x MINUS 8.5 = 4/7x - 8.5
The expression "no more than" is represented by this sign: ≤
"No more than" can also be "less than or equal to".
The final inequality should look like this:
4/7x - 8.5 ≤ 11.5
Now all you need to do is solve the inequality by isolating "x":
4/7x - 8.5 ≤ 11.5
Add 8.5 to each side of the inequality → 11.5 + 8.5 = 20
4/7x ≤ 20
Divide each side of the inequality by "4/7" → 20 ÷ 4/7 = 35
x ≤ 35
There you go! I really hope this helped if there's anything just let me know! :)
Answer:
x = -7
Step-by-step explanation:
Two parallel lines are lines that never intersect each other.
The y-axis can be written as x = 0.
Then if we want a parallel line to this one, it must be something like x = b
such that b ≠ 0.
Now we want that the distance between our line and the line x = 0 is 7 units to the left
(remember that the left is the negatie side of the axis)
then we can write:
b - 0 = -7
b = -7
The parallel line is x = -7
<h3>
Answer: Yes</h3>
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Explanation
The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.
The ratio 16:20 simplifies to 4:5 when you divide both parts by 4
Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.
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Put another way,
(8 large)/(10 small) = (16 large)/(20 small)
8/10 = 16/20
8*20 = 10*16 ... cross multiply
160 = 160
We get a true equation, so the first equation is true as well.
This shows the ratios are equivalent.
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Or you could have...
(8 large)/(16 large) = (10 small)/(20 small)
8/16 = 10/20
8*20 = 16*10
160 = 160
We get the same conclusion as before.
You forgot to include the options. This might help, though.
Answer:
n-17
Step-by-step explanation:
