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Vsevolod [243]
3 years ago
11

How do i simplify the expression 6(x+2)-4

Mathematics
1 answer:
Phantasy [73]3 years ago
3 0
Answer:

It would be 8
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The ratio of two side lengths for the triangle is given. What is the value of “q” AB:BC is 3:4
Vera_Pavlovna [14]

Answer:

q=8.5

Step-by-step explanation:

The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

\frac{AB}{BC}=\frac{3}{4}

Substitute,

\frac{60}{10q+15}=\frac{3}{4}

Cross products,

\frac{60}{10q+15}=\frac{3}{4}

(60)(4)=(10q+15)(3)\\\\240=30q+45

Inverse operations,

240=30q+45\\\\195=30q\\\\8.5=q

4 0
2 years ago
What is the answer to 12-2u=9u+45
Mars2501 [29]

Answer:

u = -3

Step-by-step explanation:

12 - 2u = 9u + 45

2u - 12 = -9u - 45

2u + 9u = 12 - 45

11u = -33

u = -33/11

u = -3

5 0
3 years ago
Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?
Aneli [31]
\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}
5 0
3 years ago
Evaluate the expression 34 ÷ (14 − 5) × 2.
bonufazy [111]

Answer:

68/9

Step-by-step explanation:

34 ÷ (14 − 5) × 2

PEMDAS

Parentheses first

34 ÷ (9) × 2

We have no Exponents so

Multiply and Divide from left to right

34/9 *2

68/9

5 0
3 years ago
Read 2 more answers
Sue and Kim earn $52 per week for delivering magazines. Sue worked for x weeks and earned an additional total bonus of $12. Kim
Ivahew [28]
64x + 52y 52x − 12 + 52y 52x + 64y 52x + 12 + 52y
3 0
3 years ago
Read 2 more answers
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