And the answer is : 4m+m=180.
Do hope you will find it helpful!
Step-by-step explanation:
Ratio can be simplified by dividing both sides of the ratio by Highest Common Factor The highest common factor is the largest number that goes into both numbers of your ratio. example
Simplify 15 : 9
Ratio 15 : 9 Factors of 15 1 , 3 , 5 , 15 Factors of 9. 1 , 3 , 9 Greatest Common Factor (G.C.F)3 Divide both by G.C.F 15 ÷ 3 = 5
9 ÷ 3 = 3 Ratio in simplest form 5 : 3
Answer:
x
=
6
,
−
5
Step-by-step explanation:
Move x
to the left side of the equation by subtracting it from both sides. x^
2
−
30
−
x
=
0
x2-30-x=0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)/
2
a
-b±b2-4(ac)/2a
Substitute the values
a
=
1 , b
=
−
1 , and c
=
−
30
into the quadratic formula and solve for x
x
.
1
±
√
(
−
1
)
2
−
4
⋅
(
1
⋅
−
30
)/
2
⋅
1
Simplify.
x
=
1
±
11/
2
The final answer is the combination of both solutions.
x
=
6
,
−
5
Answer:
Betsy will save $121 in 5 weeks.
Step-by-step explanation:
We can see that Betsy's savings are 3 times the saving of her last week. We can see that this is an geometric sequence as 1,3,9,..
To find the sum of our geometric sequence we will use 
, where n is number of terms we are taking sum of, a is first term of sequence and r is common ratio of the sequence.
Therefore, Betsy will save $121 in 5 weeks.
The slope intercept form of the equation 12x ₊ 8y = ₋24 is
y = ₋3/2 x ₋ 3
Given the equation is 12x ₊ 8y = ₋24
we are asked to convert the given equation into slope intercept form.
Finding a line's equation requires using the slope-intercept form of a straight line. We must know both the line's slope and the point at which the line crosses the y-axis in order to use the slope-intercept formula.
12x ₊ 8y = ₋24
⇒ 12x ₊ 8y ₊ 24 = 0
we re-arrange the equation of the line to write it in the standard form
y = mx + b.
12x ₊ 8y = ₋24
8y = ₋12x ₋ 24
now divide the terms on the right side by 8.
y = ₋12x/8 ₋ 24/8
y = ₋3/2x ₋ 3
hence we get the slope intercept form as y = ₋3/2x ₋ 3, where m=s₋3/2 and b = ₋3
Learn more about Coordinate geometry here:
brainly.com/question/11337174
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