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djverab [1.8K]
3 years ago
5

Solve the problem as directed.

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

x=30

Step-by-step explanation:

the ratio is 10:3

9/3=3

10*3=30

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Simplify the difference. (7w2 – 7w – 8) – (5w2 + 2w – 3)
tamaranim1 [39]

Answer:

2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol

5 0
2 years ago
Write the equation of the line in slope-intercept form that has: slope: 3 point: (0, 2) *
Luda [366]

Answer:y = 3x + 2

Step-by-step explanation: y = mx + b

Where m is the slope and b is the y-intercept.  

8 0
3 years ago
Jim was thinking of a number. Jim adds 20 to it, then doubles it and gets an answer of 99.2. What was the original number?
azamat

Alright, lets get started.

Jim was thinking of a number.

Suppose the number Jim was thinking, is x.

Jim adds 20 to it means number will be = x+20

And Jim doubles it, means 2*(x+20)

Jim gets 99.2 and as per us, he gets 2*(x+20)

So, making them equal

2(x+20)=99.2

2x+40=99.2

Subtracting 40 in both sides

2x+40-40=99.2-40

2x=59.2

x=29.6

It means the original number is 29.6.   :   Answer

Hope it will help :)



6 0
3 years ago
You can use the formula P=A(i/1-(1+i)-n) monthly payment on a loan of A dollars that is paid back in equal monthly payments over
Dafna11 [192]

Answer:

$48.54

Explanation:

We must express the interest rate on a monthly basis.

i = 8 %/yr = 0.6667 %/mo = 0.006 667

A = $4000

n = 120 mo

P = A(\frac{i}{1-(1+i)^{-n}})

P = 4000(\frac{0.006667 }{1-(1+0.006667)^{-120}})

P = \frac{26.67}{1-0.006667^{-120}}

P = \frac{26.67}{1-0.4505}

P = \frac{26.67}{0.5495}

P = 48.531

The banks round up the numbers, so Seki’s monthly payment is $48.54.

8 0
3 years ago
The differential equation y′′=0 has one of the following two parameter families as its general solution: yyyy=C1ex+C2e−x=C1cos(x
svet-max [94.6K]

Answer:

y_c = 2 + 10*x

Step-by-step explanation:

Given:

                                                y'' = 0

Find:

- The solution to ODE such that y(0) = 2, y'(0) = 10

Solution:

- Assuming a solution y = Ce^(mt)

So,                                y' = C*me^(mt)

                                    y'' = C*m^2e^(mt)

- Back substitute into given ODE, we get:

                                    y'' = C*m^2e^(mt) = 0

                                    e^(mt) can not be equal to zero

- Hence,                       m^2 = 0

                                     m = 0 , 0 - (repeated roots)

- The complimentary function for repeated roots is:

                                    y_c = (C1 + C2*x)*e^(m*t)

                                    y_c = C1 + C2*x  

- Evaluate @ y(0) = 2

                                    2 = C1 + C2*0

                                    C1 = 2

-Evaluate @ y'(0) = 10

                                    y'(t) = C2 = 10

Hence,                         y_c = 2 + 10*x

5 0
3 years ago
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