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Artist 52 [7]
3 years ago
5

PLEASE HELP ASAPPP IM TIMED

Mathematics
1 answer:
laila [671]3 years ago
7 0

\textbf{a).}\\\\r^2-12r+32\\\\=r^2 -8r-4r+32\\ \\=r(r-8) -4(r-8)\\\\=(r-8)(r-4)\\\\\textbf{b).}\\\\5a^2-7a-6\\\\=5a^2-10a+3a-6\\\\=5a(a-2)+3(a-2)\\\\=(a-2)(5a+3)\\\\\textbf{c).}\\\\16g^2+40g+25\\\\=(4g)^2 +2\cdot 5\cdot 4g+5^2\\\\=(4g+5)^2\\\\=(4g+5)(4g+5)

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Twice a number decreased by 8 by 12 is 2 less than half the number what is the number?
natali 33 [55]
Answer:
4
Step-by-step explanation:
with the information given, we can express the equation:

where is the unknown number?
to clear for first we multiply the equation by 2, to eliminate the fraction:

moving all terms with to the left:

and adding +16 to each side:

and finally, dividing by 3

the number is 4.
7 0
3 years ago
The sum of 3 consecutive odd integers is 105. What are the 3 numbers? List the numbers in order from least to greatest
labwork [276]

Answer:

33, 35, 37

Step-by-step explanation:

33 + 35 + 37 = 105

7 0
3 years ago
In Lucille’s class, 35% of the students have blond hair. There are 20 students in the class. How many students have blond hair.
MrRissso [65]

Answer:

7 the answer is 7

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 20 is 100%, so we can write it down as 20=100%.

4. We know, that x is 35% of the output value, so we can write it down as x=35%.

5. Now we have two simple equations:

1) 20=100%

2) x=35%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

20/x=100%/35%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 35% of 20

20/x=100/35

(20/x)*x=(100/35)*x       -

20=2.85714285714*x       -

20/2.85714285714=x

7=x

x=7

now we have:

35% of 20=7

we multiply both sides by x

then we divide both sides by 2.85714285714 to get x

3 0
4 years ago
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