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kotykmax [81]
3 years ago
10

The expression 21m−49n factored using the GCF

Mathematics
2 answers:
rewona [7]3 years ago
5 0
Here is my work for the problem. Hope this helps!

aniked [119]3 years ago
5 0
Answer; 7(m+2n) you needed to distrubute the GCF
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5. The scale of a map says that 8 cm represents 5 km.
sleet_krkn [62]

Answer:

a. 12.8 cm    b. 3.125

Step-by-step explanation:

To find any scale drawing use a proportion with one unit of values on the top and the other on the bottom. For example 8cm/5km = x/8km. So you would multiply 8 cm and 8 km and then divide by 5 to get 12.8 cm. For the second question plug in 5m in the numerator and solve for its denominator.

3 0
2 years ago
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A vendor converts the weights on the packages she sends out from pounds to kilograms (1kg approximately equals 2.2 pounds).
Alexxx [7]

Answer:

a) b) the standard deviation and the mean is affected by the conversion factor as well

c)  the mean is displaced by b units

Step-by-step explanation:

for a new variable

Y=a*X  , where a= constant (conversion factor= 1 kg/2.2 pounds)

then

p(y)= p(a*X) = p(X)

a) mean =μ=E(Y)= ∑ a*X*p(y) = a ∑ X*p(x) = a* E(X)

mean =μ=a*μₓ

b) σ² = ∑ (Y-μ)²* p(y) =  ∑ (a*X-a μₓ)²* p(y) = a²*∑ (X-μₓ)²* p(x) = a²*σₓ²

then

standard deviation = σ= √σ²=√(a²*σₓ²) = a*σₓ

standard deviation = σ= a*σₓ

then the standard deviation and the mean is affected by the conversion factor as well

c) nevertheless for a displacement b

Y₂=X + b (b= constant= 50 gr)

p(Y₂)= p(X + b) = p(X)

then

mean =μ=∑ (X-b)*p(y)=∑ X*p(x)- b ∑ p(x) = E(X) -

mean =μ=μₓ - b

then the mean is displaced by b units

7 0
3 years ago
2. Using the substitution method, Jose is solving the following system of equations
Svetradugi [14.3K]

Answer:

3

Step-by-step explanation:

the answer is 3 if you check very well

5 0
3 years ago
1. Eddie ordered customized cups. He was
Romashka [77]

Answer:

8x+30=334

Step-by-step explanation:

X= the amount of cups he got and 30 is the initial fee so he only has to pay that once

5 0
2 years ago
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F(x) = x²+1<br> What is f(f(x))?
Arte-miy333 [17]

Answer:

f(f(x)) = x⁴ + 2x² + 2

Step-by-step explanation:

if f(x) = x² + 1, then f(f(x)) is equal to:

f(x)² + 1

= (x² + 1)² + 1

= x⁴ + 2x² + 1 + 1

= x⁴ + 2x² + 2

7 0
2 years ago
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