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Sholpan [36]
3 years ago
10

Solve the equation for b.

Mathematics
2 answers:
Mkey [24]3 years ago
7 0

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

b =  M /4  +  9 x

dusya [7]3 years ago
3 0

Answer:

b=M/(4+9x)

Step-by-step explanation:

In order to solve this you first have to factorize the b from the equation:

M = 4 b + 9 b x

M = B(4+ 9x)

As you can se ethe B is multiplying the factor (4+9x) so in order to clear B (4+9x) should go to the other side dividing M:

B=M/(4+9x)

And that would be the answer to solving the equation for B.

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Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number o
Hitman42 [59]

Answer:

The system of equations are

x+y=557

\frac35x+\frac56 y=407

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which \frac35 of the shorter book and \frac56 of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

\frac35 page of the shorter book  =\frac35 x

\frac56 pages of the longer book = \frac56y

So, he has read =\frac35x+\frac 56y

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

\frac35x+\frac56 y=407.......(2)

We can write equation (2) as

\frac35x+\frac56 y=407

\Rightarrow \frac{18x+25y}{30}=407

\Rightarrow {18x+25y}=407\times 30

\Rightarrow {18x+25y}=12,210......(3)

Now 18 times of equation (1) subtract from equation (3)

   18x+25y=12210

   18x+18y=10026

-        -        -

_______________

        25y-18y=12,210-10,026

     ⇒7y=2,184

     \Rightarrow y=\frac{2184}{7}

     ⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

5 0
3 years ago
What are significant numbers? please explain?
My name is Ann [436]
Non zero digits are always significant. any zeros between two significant digits are significant. a final zero or trailing zero in the decimal portion only are significant.
6 0
3 years ago
David scored points less than six times the number of points Rich scored in a video game. If represents the number of points sco
UkoKoshka [18]

Answer:

David scored : 24 < 6x = 0

Step-by-step explanation:

From the information given;

David  scored ??? points less than six times the number of points Rich scored in a video game.

If  ???   represents the number of points scored by Rich

The objective is to write an expression representing the number of points scored by David.

since the value of David points and Rich letter representing the number of points scored by RIch  are not given,  Let's based our calculation on assumptions, the main thing is to understand the the process in solving the question.

Assumption:

Let assume that,

David scored 24 points and x should be the number of points scored by Rich

Then; the linear equation representing David score is:

David scored : 24 < 6x = 0

3 0
3 years ago
The number N of bacteria present in a culture at time t (in hours) obeys the equation N = 1000e^0.01t After how many hours will
jasenka [17]

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500

5 0
3 years ago
Write a story that would explain the graph below.
vlabodo [156]

Answer:

Johny rode his bike 30ft up the hill and stopped to rest and then rode back down. He rode up another 30ft and stopped then started his descent back down.

Step-by-step explanation:

4 0
3 years ago
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