Answer:
11/20
Step-by-step explanation:
At the beginning, the number of marbles in the box are:
10 green marbles
11 white marbles
The first marble chosen is green, and then it is not replaced in the box. Therefore, the number of green marbles left in the box is 9.
Therefore, the total number of marbles left in the box is:
Now we want to find the probability to choose a white marble. The number of white marble is
Therefore, the probability of choosing a white marble is:
Answer:
j = 6
Step-by-step explanation:
"Is" typically means equals. "More than" means it is added to.
So 15 equals j with 9 added to it.
15 = 9 + j
Now solve for j by subtracting 9 from both sides.
15 - 9 = j
j = 6
Answer: 180 = 30 + (x + 60)
Step-by-step explanation: Supplementary means that the angles add together to 180 degrees. This equations shows that angle A (30 degrees) plus angle B (x + 60) equal 180. If you solve the equation you will find that angle B is equal to 150 degrees, and that x = 90.
Answer:
The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope and values from the point in the problem gives:
(
y
−
−
1
)
=
3
5
(
x
−
−
3
)
(
y
+
1
)
=
3
5
(
x
+
3
)
If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for
y
. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
y
+
1
=
(
3
5
⋅
x
)
+
(
3
5
⋅
3
)
y
+
1
=
3
5
x
+
9
5
y
+
1
−
1
=
3
5
x
+
9
5
−
1
y
+
0
=
3
5
x
+
9
5
−
5
5
y
=
3
5
x
+
4
5
The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope and values from the point in the problem gives:
(
y
−
−
1
)
=
3
5
(
x
−
−
3
)
(
y
+
1
)
=
3
5
(
x
+
3
)
If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for
y
. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
y
+
1
=
(
3
5
⋅
x
)
+
(
3
5
⋅
3
)
y
+
1
=
3
5
x
+
9
5
y
+
1
−
1
=
3
5
x
+
9
5
−
1
y
+
0
=
3
5
x
+
9
5
−
5
5
y
=
3
5
x
+
4
5
Step-by-step explanation:
Answer:
$43 and
$17
Step-by-step explanation:
Let the amount James have be A and that of jada be B
Given
James and jada have $60 together
That’s
A + B = 60
And james A has $9 more than twice jada’s amount
That’s
A = 9 + 2B
We now have two equations
1. A + B = 60 and
2. A = 9 + 2B
Now put 9 + 2B as A in equation one
A + B = 60
9 +2B + B = 60
9 + 3B = 60
Subtract 9 from both sides
9 - 9 + 3B = 60 - 9
3B = 51
Divide both sides by 3
3B/3 = 51/3
B = 17
Jada has $17
Recall
A = 9 + 2B
And B = 17
Therefore
A = 9 + 2 x 17
A = 9 + 34
A = 43
James has $43
Therefore, James has $43 while jada has $17
