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3 years ago

What is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3?

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

5a - 10b = 45

5a - (10×3) = 45

5a - 30 = 45

5a = 45 + 30

5a = 75

a = 15

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60 Red Beads is the Answee

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3 years ago

Read 2 more answers

Solve for x. Round to the nearest tenth, if necessary.

Tcecarenko [31]

ANSWER

14.3

EXPLANATION

angle = 21⁰

opposite side = 5.5

adjacent side = x

Knowing this, we must use tangent (opposite / adjacent)

tan (21⁰) = 5.5 / x

x = 5.5 / tan (21⁰) (use calculator)

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3 years ago

NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi

natali 33 [55]

Answer:

a. $\frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100$

b. $\frac{dR(q)}{dq}=-0.01q+200$

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

$\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100$

b) The income function is given by the relation $R (q) = P (q) q = -0.005q^2 + 200q$ .

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

$\frac{dR(q)}{dq}= -0.01q+200$

(c) The profit function of the company is given by the relation $U (q) = R (q) - C (q)$ , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

$\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100$

When q = 2000, the marginal utility is:

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

When q = 7000, the marginal utility is:

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

6 0

3 years ago

What is the value of x? (1) x2+x+10=16 (2) x=4y4+2y2+2?

alexandr402 [8]

X equals the square root of 6-x

x= the eqaution for number 2

5 0

4 years ago

Micheal took his brother to the movies. Micheal paid regular price, but it cost $2 less for his brother at the child price. It c

iren [92.7K]

It cost $5 for his brother's ticket.

Step-by-step explanation:

Let,

Micheal's ticket price= x

His brother ticket price = y

According to given statement;

x+y=12 Eqn 1

y = x-2 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$x+(x-2)=12\\x+x-2=12\\2x=12+2\\2x=14\\$

Dividing both sides by 2;

$\frac{2x}{2}=\frac{14}{2}\\x=7$

Putting x=7 in Eqn 2

$y=7-2\\y=5$

It cost $5 for his brother's ticket.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

8 0

4 years ago