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Vladimir79 [104]
4 years ago
14

Apply the distributive property to create an equivalent expression. (6m -7)\cdot 4 =(6m−7)⋅4=left parenthesis, 6, m, minus, 7, r

ight parenthesis, dot, 4, equals
Mathematics
2 answers:
FrozenT [24]4 years ago
8 0

Answer:

(6m-7)\cdot4 is equivalent to 24m-28

Step-by-step explanation:

The distributive property enables us get rid of parentheses by multiplying the term outside by each of the term inside; a bit like algebraic expansion

It states that:

(a+b)\cdot c = a\cdot c+ b\cdot c

Therefore (6m-7)\cdot4=6m\cdot4-7\cdot4=24m-28

Thus 24m-28 is the equivalent expression

malfutka [58]4 years ago
7 0

Answer:

24m-28

Step-by-step explanation:

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BRAINLESS REWARD IF CORRECT
lutik1710 [3]
After one hour, Henry's body loses 282 - 265.08 = 16.92 mg of medicine, while Greg's body loses 200 - 200(0.88) = 24 mg of medicine

Therefore, Greg's body is removing the medicine faster.

Hope this helped have a great day.


4 0
3 years ago
Read 2 more answers
At a school with 100? students, 33 were taking? Arabic, 32 ?Bulgarian, and 40 Chinese. 9 students take only? Arabic, 12 take onl
Stels [109]

Answer: The answer is 4 and 32.

Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.

The, according to the given information, we have

n(A)=33,~~n(B)=32,~~n(C)=40,~~n(A\cap B)=14.

Let 'p' represents the number of students who take all the three languages, then

n(A\cap B\cap C)=p.

Also,

n(A)-n(A\cap B)-n(A\cap C)+n(A\cap B\cap C)=9\\\\\Rightarrow n(A\cap B)+n(A\cap C)=24+p~~~~~~~~~~~~~~(a),\\\\n(A\cap B)+n(B\cap C)=20+p~~~~~~~~~~~~~~(b),\\\\n(B\cap C)+n(A\cap C)=20+p~~~~~~~~~~~~~~~(c).

From here, we get after subtracting equation(c) from (b) that

n(A\cap B)=n(A\cap C)=14.

Therefore,

p=14+14-24=4, and from equation (a), we find

n(B\cap C)=24-14=10.

Thus,

n(A\cap B\cap C)=4 and

n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cap B\cap C)=33+32+40-9-12-20+4\\\\\Rightarrow n(A\cap B\cap C)=68.

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.

5 0
3 years ago
Solve 2^3x=172 Use logarithmic please
I am Lyosha [343]
2^3x = 172
3x log 2 = log 172
3x = 7.4263
x = 2.475

i am a mathematics teacher. if anything to ask please pm me
4 0
4 years ago
Hey! Can someone help me?
bazaltina [42]

Answer:

I believe the answer is B

5 0
3 years ago
Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.
GrogVix [38]

Answer:

A=\$150(1.05)^{t}  

Step-by-step explanation:

we know that    

The compound interest formula for this problem is equal to  

A=P(1+r)^{t}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  in years

in this problem we have  

P=\$150\\ r=5\%=0.05  

substitute in the formula above  

A=\$150(1+0.05)^{t}  

A=\$150(1.05)^{t}  

8 0
3 years ago
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