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ankoles [38]
2 years ago
7

Ms. Peterson wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expressio

n using no more than one set of parentheses.
4(3x+5y+2z)+3(x−z) ​​

​

• Tom wrote 12x+20y+8z

​

• Jenna wrote 5(3x+4y+z)

​

• Chris wrote 15x+20y−5z

​

Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?

​

​Answer ​_______ wrote an equivalent expression.

​Show your work to prove which expressions, if any, are equivalent.
Mathematics
2 answers:
Tems11 [23]2 years ago
5 0
Chris wrote an equivalent expression.

12x+20y+8z+3x-3z
15x+20y-5z
Diano4ka-milaya [45]2 years ago
5 0

Answer:

 

15x+20y-5z

12x+20y+8z+3x-3z

Chris wrote the equivalent expression

Step-by-step explanation:

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What is the value of x?<br><br> Enter your answer in the box.<br><br><br> cm
pochemuha

Answer:

 =94 cm

Step-by-step explanation:

Using the Triangle angle bisector theorem

We can find the value for YK

TV         VY

------- = -----------

TK         YK


95.2         34

------- = -----------

168         YK

Using cross products

95.2 * YK = 34* 168

Divide each side by 95.2

YK = 34* 168/95.2

YK =60

We want to find VK

VK = VY+YK

     = 34+60

     =94 cm

3 0
3 years ago
Pleaseeeee help <br> ASAP
melisa1 [442]

Answer:

6.6

Step-by-step explanation:

6 0
3 years ago
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Can you bisect an angle using only a compass and a straight edge​
ahrayia [7]

Answer:

yes

Step-by-step explanation:

bisect = dividing it into two equal parts

if you were to line the angle up with the north (or really any line of the compass), you could find the center (you could find where two lines [the same distance from north] are on equal sides of north, or you could just find the center of the angle from sight)

and with the straight edge, you could easily divide the angle into two equal halves

4 0
2 years ago
A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t
Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

\frac{dP}{dt} =4.058e^{1.6t}

dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)

Where k is a constant of Integration.

At t=0, P(t)=36

36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19

Therefore:

P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560

3 0
3 years ago
URGENT PLEASE HELP ME
krek1111 [17]

a) & b) is yes, c) is no. hope you have a good day

5 0
3 years ago
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