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3 years ago

What must be the value of c so that 5c -3, c+2, and 3c-11 will form an arithmetic

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

3 0

Answer:

1.5 is the value of C

Step-by-step explanation:

first step is by collecting the like terms:

5c+ct3c=9c

-11--3+2=-6

9c-6

9c=6

Divide both side by 6

you'll end up with 1.5.

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Set up an equation and solve the following problem.

nordsb [41]

Answer:

The speed of Dave is 42 miles per hour

The speed of Kent is 46 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by Dave = d = 210 miles

The time taken by Dave = t hour

The speed of Dave = s miph

Again

The distance cover by Kent = D = 230 miles

The time taken by Kent = T hour

The speed of Kent = S = (s + 4 ) miph

For Dave

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, t = $\dfrac{\textrm d miles}{\textrm s miph}$

Or, t = $\dfrac{\textrm 210 miles}{\textrm s miph}$

For Kent

Time = $\dfrac{\textrm Distance}{\textrm Speed}$

So, T = $\dfrac{\textrm D miles}{\textrm S miph}$

Or, T = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

∵ Time taken by both is same

So, t = T

Or, $\dfrac{\textrm 210 miles}{\textrm s miph}$ = $\dfrac{\textrm 230 miles}{\textrm (s + 4) miph}$

Or, 210 × (s + 4) = 230 × s

Or, 210 × s + 210 × 4 = 230 × s

Or, 210 × 4 = 230 × s -210 × s

Or, 210 × 4 = 20 × s

∴ s = $\dfrac{840}{20}$

i.e s = 42 miph

So, The speed of Dave = s = 42 miles per hour

Again

The speed of Kent = S = (s + 4 ) miph

i.e S = 42 + 4

or, S = 46 miph

So, The speed of Kent = S = 46 miles per hour

Hence,The speed of Dave is 42 miles per hour

And The speed of Kent is 46 miles per hour . Answer

8 0

3 years ago

A rectangle with an area of x2 - 4x – 12 square units is

tino4ka555 [31]

Hello there! :)

Answer:

First choice, (x + 2) and (x - 6).

Step-by-step explanation:

To solve for the dimensions, recall that the formula for the volume of a rectangle is:

A = l × w

Simply factor x² -4 - 12. Find two numbers that add up to -4 and multiply into -12.

2, -6 satisfy these conditions. Use these numbers to write this equation in factored form:

(x + 2) (x - 6). Thus, the first option is the correct answer.

5 0

3 years ago

Read 2 more answers

Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible val

alex41 [277]

Answer:

The possible values are less than 4 but greater than –4

Step-by-step explanation:

If the absolute value of integer number is less than 4 then it is 0, 1, 2 or 3.

so the possible integer numbers are: -3, -2, -1, 0, 1, 2 or 3.

All of them are greater than -4 and less than 4

7 0

3 years ago

Read 2 more answers

Help lol, will mark brainlest

TiliK225 [7]

a=11

Hope this Helped! :T

5 0

2 years ago

Anybody know ? Need help

agasfer [191]

Answer:

it is D) consecutive interior

Step-by-step explanation:

6 0

3 years ago

What must be the value of c so that 5c -3, c+2, and 3c-11 will form an arithmetic​

What must be the value of c so that 5c -3, c+2, and 3c-11 will form an arithmetic