Answer:
x = 20
Step-by-step explanation:
The two indicated angles are vertical angles and vertical angles are equal
3x+50 = 6x-10
Subtract 3x from each side
3x-3x+50 = 6x-10-3x
50 = 3x-10
Add 10 to each side
50+10 = 3x-10+10
60 = 3x
Divide each side by 3
60/3 = 3x/3
20 =x
Answer:
3
Step-by-step explanation:
the initial statement is
y
∝
1
/x
to convert to an equation multiply by k the constant
of variation
y
=
k
×
1
/x
=
k
/x
to find k use the given condition
y
=
5 when x
=
6
y
=
k/
x
⇒
k
=
y
x
=
5
×
6
=
30
y
=
30
/x
when
x
=
10
then
y
=
30
/10
=
3
R(–3, 4)
Step-by-step explanation:
Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.
By section formula,

Here, 
Substituting this in the section formula
To simplifying the expression, we get

⇒ R(x,y) = R(–3,4)
Hence, the coordinates of point R is (–3, 4).
Compare the two sets of numbers with a ratio. 1 can for 24 servings is to 1/2 can for x servings.
x= # servings from 1/2 can
1/24= (1/2)/x
cross multiply
1 * x= 24 * 1/2
x= 24/2
x= 12 servings
ANSWER: She can make 12 servings from 1/2 can of juice.
Hope this helps! :)