All categories

2 years ago

Which expression is equivalent to 8c + 6 - 3c - 2

Mathematics

2 answers:

Paraphin [41]2 years ago

8 0

8c+ 6 -3c -2
= (8c -3c)+ (6 -2) (combine like terms)
= 5c+ 4

The final answer is 5c+ 4~

NISA [10]2 years ago

4 0

5c+4 is equivalent

Its just simplified.

You might be interested in

Jeff Brown has collected sales data for his cupcake stand. Calculate the weighted moving average forecast for period 13 with wei

valentinak56 [21]

Answer:

Step-by-step explanation:

To calculate the weighted moving average for period 13 with weights 0.4 and 0.3.

P13 = (30.7x 0.4) + (42.0x 0.3)

P13 = 12.28 + 12.60

P13 = 24.88

6 0

2 years ago

For quality control purposes, a company that manufactures sim chips for cell/smart phones routinely takes samples from its pro

ololo11 [35]

Answer:

There is a 22.42% probability that a sample in this size has 2 imperfections.

Step-by-step explanation:

For each chip, there are only two possible outcomes. Either they are imperfect, or they are not.

This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem

A success is a chip being imperfect. Suppose the average number of imperfections per 1000 sim chips is 3. So $\pi = \frac{3}{1000} = 0.003$ .

What is the probability that a sample this size (1000 chips) has 2 imperfections?

The sample has 1000 chips, wo $n = 1000$

We want P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{1000,2}.(0.003)^{2}.(0.997)^{998} = 0.2242$

There is a 22.42% probability that a sample in this size has 2 imperfections.

7 0

2 years ago

Find the value of w and YZ if Y is between X and Z. <br>XY = 4w YZ = 6W XZ = 12w - 8

yulyashka [42]

Answer:

w = 4

YZ = 24

Step-by-step explanation:

Since, Y is a point lying between the points X and Z.

Therefore, relationship between the lengths of the segments will be,

length of segment XZ = length of XY + length of YZ

It's given in the question,

XZ = 12w - 8

YZ = 6w

XY = 4w

By substituting these values in the relation,

12w - 8 = 4w + 6w

12w - 8 = 10w

12w = 10w + 8

12w - 10w = 8

2w = 8

w = 4

Since, YZ = 6w

Therefore, YZ = 24

8 0

2 years ago

X1/3y1/6 rewrite expression in radical form

arsen [322]

Answer:

Step-by-step explanation:

Please, use the symbol " ^ " to denote exponentiation:

x^(1/3) * y^(1/6)

In radical form, this would be:

∛x*(6th root of y) (the index of the second root is 6).

Alternatively, you could write:

∛x * √((∛y)).

8 0

2 years ago

Read 2 more answers

Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep

DENIUS [597]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

I = (x × 1.8 × 1)/100 = 0.018y

if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

6 0

2 years ago