Answer:
7
Step-by-step explanation:
1) "x is 23 more than 3 times y" is the same thing as "x = 23 + 3y"
REMEMBER: when you see "is" replace is with an equals sign.
2) Solve for x with your new equation.
3) Plug 6 into the y ("y = 6")
x = 23 + 3 x 6... x = 23 + 18... x = 41
4) Plug in your variables, and evaluate.
(41 - 6)/5... 35/5... 7!
Answer:
x = 24
Step-by-step explanation:
y₂ - y₁
42 - 21 = 21
x + 21
3 + 21 = 24
So when y increases by 21, so does x.
x = 24
Because ABCD is a rectangle, the length of CD is 12 cm.
We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.
To find the length of CE, we have to "solve" the upper triangle.
Here's an outline of what to do:
1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.
Please ask questions if need be.
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Answer:
22 hours (B)
Step-by-step explanation:
John's velocity = 55mph
Sally's velocity = 65mph
John's time taken = x
Sally's time taken = x - 4
since they must cover the same distance.
and, distance = vel × time
Sally's vel × time = John's vel × time
55x = 65(x-4)
55x = 65x - 220
-10x = -220
x = 22 hours.
Therefore, Sally catches up after 22 hours
