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3 years ago

(a) Simplify 3a + 7b - a + 4b

Mathematics

1 answer:

scZoUnD [109]3 years ago

4 0

Answer:

2a+11b

Step-by-step explanation:

Need like terms!

3a-a

=2a

7b+4b

=11b

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The sum of 5 consecutive odd integers is 2,555. What is the sum of the first, third, and last integer?

Lilit [14]

Answer:

The sum of the first, third, and last integer is 1533.

Step-by-step explanation:

Step 1: You need to create a equation first:

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

How did I make the equation?

If n is odd number, n + 2 must be the consecutive odd number

5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8

5, 7, 9, 11, 13 ALL CONSECUTIVE ODD NUMBERS

Step 2: Simplifying the equation

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

5n + 20 = 2555

Step 3: Solving the equation, with explanation

5n + 20 = 2555 Subtract 20 on both sides

5n = 2535 Isolate the variable by dividing 5 on both sides

n = 507

Step 4: Plug in the value

n + n + 2 + n + 4 + n + 6 + n + 8

507, 507 + 2 , 507 + 4 , 507 + 6 , 507 + 8

507, 509, 511, 513, 515

Step 5: Solve the sum of the first, third, and last integer

507 + 511 + 515 = 1533

Step 6: THE ANSWER

1533

<h3>Hope this helps!!! </h3><h3>Please mark this as brainliest!!! </h3><h3>Thank You!!! </h3><h3>:)</h3>

8 0

3 years ago

Paul is saving for a video game. It costs $70, including tax. He has already saved $35. How much more does he need to save?

MrMuchimi

Answer:

Step-by-step explanation:

70 takeaway 35 is 35 which is what is left over.

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3 years ago

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Write the equation of the graphed in NO SPACES ALL LOWERCASE Help !!

cupoosta [38]

Answer:

The equation of the graphed line is:

y = 2

Step-by-step explanation:

From the graph, it is clear that the line is a horizontal line at y = 2.

We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.

In other words, the equation of the horizontal line would always get the form:

y = k

where k is the y-intercept of the line.

Determining the y-intercept of the line:

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept k = 2

Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation

y = 2

Therefore, the equation of the graphed line is:

y = 2

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3 years ago

Questions in pic plz help

lara31 [8.8K]

Answer:

Step-by-step explanation:

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3 years ago

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A device that continuously measures and records seismic activity is placed in a remote region. The time, T, to failure of this d

Allisa [31]

Answer:

E[X]= $2 + 3 e^{(-2/3)$

Step-by-step explanation:

The objective of this question is to determine E[X].

T is defined (0,infinity)

X=max(c,T)

where; c=constant

E[X]=c+function (c,infinity) Sf(t)dt

E[X] = $e^{-t/3$

E[X]=2+function (2,infinity) $e^{-t/3$ dt

E[X] = $(2+e^{-t/3})/(1/3)$ function (2,infinity)

E[X]= $2 + 3 e^{(-2/3)$

If X = T if T ≥ 2 and X = 2 if 0 ≤ T < 2,

So Since T is exponentially distributed with mean 3, the density function of T is $f(t) = (1/3)e^{(-t/3)$

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3 years ago