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3 years ago

Solve for n in the literal equation a(n − 5) + 6 = bn.

Mathematics

2 answers:

svetoff [14.1K]3 years ago

8 0

Answer:

$a(n - 5) + 6 = bn \\ an - 5a + 6 = bn \\ an - bn = 5a - 6 \\ n(a - b) = 5a - 6 \\ n = \frac{5a - 6}{a - b} \\ thank \: you$

Wewaii [24]3 years ago

5 0

Answer:

(6-5a)/(b-a) = n

Step-by-step explanation:

a(n − 5) + 6 = bn

Distribute

an -5a +6 = bn

Subtract an from each side

an -5a+6 -an = bn-an

6-5a = bn-an

Factor out n

6-5a = n(b-a)

Divide each side by (b-a)

(6-5a)/(b-a) = n

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Linear equations assignment:

Daniel [21]

Answer:

20 laps

Step-by-step explanation:

2 times = +1 dollars for Paula, +0.50 dollars for Jacki

Try multiplying it the least amount of times to Paula can have more and so 20 times and Paula will have 20 dollar sand Jacki will have 19.75, therefore she needs to do 20 laps.

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3 years ago

PLEASE HELP ME WITH ALL THE QUESTION BE HONEST PLEASE URGENT!

harina [27]

Answer:

Step-by-step explanation:

1. -35

2. +9

3. -23

4. +3

5. +5

6. -7

7. +125

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Add them all up in a calculator and you get 59

3 0

3 years ago

A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original

Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

The initial value is b = 14500.

The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

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6 0

2 years ago

The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.

bearhunter [10]

Answer:

$m\angle A= 30^{\circ}$

Step-by-step explanation:

In the question, we're given $\angle A\cong \angle D$ . Therefore, the measure of these two angles must be equal.

To find the value of $x$ , set these two angles equal to each other:

$4x-26=x+16$

Add 26 and subtract $x$ from both sides:

$3x=42$

Divide both sides by 3:

$x=\frac{42}{3}=14$

Since $\angle A$ was labelled as $4x-26$ , substitute $x=14$ to find its measure:

$\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}$

You can also substitute $x=14$ into the label of angle D as angle A is congruent to angle D for easier calculations ( $14+16=\boxed{30^{\circ}}$ ).

5 0

3 years ago

Can someone please please help me on this algebra problem I’m stuck on answering the question?

Rudik [331]

Explanation:

Midline: it is a horizontal line where half of the function above it and half of the function is below it.

Amplitude: It means how far the function varies from the midline to the above and below.

Period: the distance between two consecutive maximum points (minimum points).

3) From the graph,

$\begin{gathered} \text{Midline}=\frac{Maximum\text{ point+ minimum point}}{2} \\ =\frac{3+(-1)}{2} \\ =\frac{3-1}{2} \\ =\frac{2}{2} \\ =1 \end{gathered}$

Answer: Midline=1

1) Amplitude

$\text{Amplitude =}2$

2) Periods

$\begin{gathered} \text{Period}=6 \\ \Rightarrow b=\frac{2\pi}{6} \end{gathered}$

4) The trigonometric equation is,

$\begin{gathered} y=a\cos (b(x-c))+d \\ a=\text{ amplitude} \\ b=\text{period} \\ c=\text{ phase shift} \\ d=\text{ vertical shift} \\ y=2\cos (\frac{2\pi}{6}x)+1 \end{gathered}$

Answer:

$y=2\cos (\frac{2\pi}{6}x)+1$

4 0

1 year ago