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maks197457 [2]
3 years ago
5

Given 6x + b/c = a, rearrange the equation for b, in terms of a, c, and x.

Mathematics
2 answers:
SVEN [57.7K]3 years ago
5 0

Answer:

b = c(a - 6x )

Step-by-step explanation:

Given

6x + \frac{b}{c} = a ( subtract 6x from both sides )

\frac{b}{c} = a - 6x ( multiply both sides by c to clear the fraction )

b = c(a - 6x)

qwelly [4]3 years ago
3 0
C (a - 6x)= b ...would be correct
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Jake is choosing between 2 cell phone plans. Plan A costs $15 per month plus $0.08 per minute. Plan B costs $35 per month for un
Alex73 [517]

Answer:

The system of equations is

y=0.08x+16

y=35

Step-by-step explanation:

Let

x ----> the number of minutes of calling time

y ----> the monthly cost of the calling plan

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

In this problem

Plan A

m=0.08\\b=16

substitute

y=0.08x+16 ----> equation A

Plan B

m=0\\b=35

substitute

y=35 ----> equation B

therefore

The system of equations is

y=0.08x+16

y=35

5 0
3 years ago
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per ye
MrMuchimi

Answer:

f(t) = 101,234(1.03)^{t}

Step-by-step explanation:

First, use FV formula to find the rate ;r given PV=101,234 and FV=104,271.02 and time= 1 year

FV= PV (1+r)^{t}

104,271.02 = 101,234(1+r)^{1}

Divide both sides by 101,234 to get;

104,271.02 / 101,234 = 1+r

1.03 = 1+r

1.03 -1 =r

therefore r= 0.03 or 3%

Next, to get the function of FV of estate after t years; f(t) ;

Plug in the 3% rate found above into the FV formula with PV being the current value of 101,234 and it becomes;

f(t) = 101,234(1.03)^{t}

5 0
3 years ago
Read 2 more answers
A kite flying in the air has a 12 - ft line attached to it. its line is pulled taut and casts a 10 - ft shadow. find the height
tekilochka [14]

The height of the kite will be 6.6 ft rounded to the nearest tenth.

<u><em>Explanation</em></u>

According to the below diagram, AB is the height of the kite and AC is the 12 ft line attached to it.

The line is pulled taut and casts a 10 ft shadow. That means BC = 10 ft

Now, in right angle triangle ABC, using <u>Pythagorean theorem</u>....

(AB)^2 +(BC)^2 = (AC)^2 \\ \\ (AB)^2 +(10)^2 = (12)^2 \\ \\ (AB)^2 +100 = 144\\ \\ (AB)^2 = 144-100 =44\\ \\ AB=\sqrt{44}= 6.6332....

So, the height of the kite will be 6.6 ft rounded to the nearest tenth.

6 0
4 years ago
Find the slope of the line between the points (0, 4) and (3, 6).
alex41 [277]

The answer is e, atleast I'm pretty sure its been awhile since I've done slope.

8 0
3 years ago
What is the surface area of sphere with radius 13 ft
dmitriy555 [2]
This would be 4 * pi * r^2  =  2123.72 ft^2 to nearest hundredth
3 0
4 years ago
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