imagine that the number 2 button on your calculator is damaged and cannot be used.use a flow chart to show 3 different ways in which you can calculate 24x12
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Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 1?
Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale.a. x = 8, y = 17 b. x = 6, y = 8 c. x = 8, y = 10 d. x = 8, y = 6
Solve for x.25x=65122512536
Is the square root of 2 rational or irrational?
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25 * 40% =
= 25 * 40/100 =
= 25 * 4/10 =
= 25 * 0,4 =
= 10
Another way is to find 1% of 25 and then multiply it by 40:
25 * 40% =
= (25 / 100) * 40 =
= 0,25 * 40 =
= 10
Also, m∠A = 108° and m∠C = 2(m∠M).
What is m∠M?
_________ °
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<A = <L
108 = 108
<C is twice from <M so :
<C is 2x < M is x
as you note down the answer you can draw two triangles and label them according to thier values, you will see that triangle ABC has two things now ;
a = 108 and c = 2x
when you have two measures in a triangle you can find the 3rd one :
suppose that third < of triangle ABC is x ;
108 + 2x + x = 180
108 + 3x = 180
3x = 180 - 108
3x = 72
x = 24
<m = 24
further if you want to find C :
< c = 2x
< c = 2 ( 24 )
< c = 48
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Answer: 9
Step-by-step explanation: The common difference is the difference between each of the terms in an arithmetic sequence.
Let's work backwards.
First, we take the last term we are given and
subtract the second to last term.
So here, we subtract 23 - 14 to get 9.
Now, we take 14 - 5 to get 9.
Notice that 9 is our answer in both problems above.
That means it's our common difference.
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Answer:
1666.7 minutes
Step-by-step explanation:
To find out how many minutes it takes to fill the pool, you can use the formula:
Time (minutes) = Total volume / Flow rate
In this case, the total volume of the pool is 15,000 gallons, and the flow rate is 9 gallons per minute.
Time (minutes) = 15,000 gallons / 9 gallons per minute
Time (minutes) = 1,666.67 minutes (rounded to two decimal places)
So, it takes approximately 1,666.67 minutes to fill the pool.
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Answer:Explanation:
Step-by-step explanation:Explanation:
We have that
6
x
2
+
19
x
+
15
=
6
x
2
+
10
x
+
9
x
+
15
=
2
x
⋅
(
3
x
+
5
)
+
3
⋅
(
3
x
+
5
)
=
(
2
x
+
3
)
⋅
(
3
x
+
5
)
Answer:
Step-by-step explanation:
6x² + 19 x +15 can be factor as (x-root1 )( x-root2)* coefficient of x²
use quadratic equation to fid the roots, x = (-b±√b²-4ac)/2a
6x² + 19 x +15 =0
x= (-19 ±√19²-4*6*15) / 2*6
x= (-19 ± √1)/ 12
x= (-19+ 1)/12 = -18/12 = -3/2
and
x= (-19-1)/12 = -20/12 = -5/3
6x² + 19 x +15 = 6*(x+(3/2)) (x+(5/3))
the length and with of the rectangle could be any combination of the factors of 6 and the (x+(3/2)) (x+(5/3))
if we consider 6 =2*3 we have length and width 2x+3 and 3x+5
because 2*[x+(3/2)]*3[ x+(5/3)]
if we consider 6 = 3*2 we have length and width 3x+(9/2) and 2x+(10/3)
because 3*[x+(3/2)]*2[ x+(5/3)]
if we consider 6= 6*1 we have length and width 6x+9 and x+(5/3)
because 6*[x+(3/2)]*1[ x+(5/3)]
if we consider 6= 1*6 we have length and width x+(3/2) and 6x+10
because 1*[x+(3/2)]*6[ x+(5/3)]