So you have:

1) Start off by multiplying both sides by x to simplify the problem:

2) Now isolate the x by moving all terms with x onto one side and all other terms onto the other side:

3) Finally, divide by 3 on both sides to find the value of x:

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Answer: x =
Answer:
x = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
=
, substitute values
=
=
( cross- multiply )
2x = 12 ( divide both sides by 2 )
x = 6
Answer:
y=13/3x-1
Step-by-step explanation:
k=(y2-y1) /(x2-x1)
A(0,-1) x1=0,y1=-1
B(3,12) x2=3, y2=12
k=(12-(-1))/(3-0)
k=(12+1)/3
k=13/3
y-y1=k(x-x1)
y-(-1)=13/3(x-0)
y+1=13/3*x
y=13/3*x-1
Answer:
Question 9: Variables: (smallest) s, q, r (largest)
Question 10: 5 whole numbers (7, 8, 9, 10, and 11)
Step-by-step explanation:
For question nine, there are two given statements... s=q-2 and q<r. Say we plug in 10000 (a really big #) in for q, then we would get s=9998 and r>10000. This way, we can see that s would be the smallest, then q, and r is the largest. <em>(q<r can be written as r>q)</em>
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For question 10, it states
. This can be split into
and
. When x is 12 in the first equation then
and when x is 6 in the second equation
(0.5 is also
). Therefore, x must be a whole number less than 12 and greater than 6, and it cannot be either 12 or 6. Whole numbers between 6 and 12 are 7, 8, 9, 10, and 11 or 5 whole numbers.
Answer:
..
Step-by-step explanation:
a =
⇒ 670
b =
⇒ 301600
c =
⇒ 560