All categories

3 years ago

Solve for x in the equation C = 8.5x + 6y. Show all work.

1 answer:

7 0

C = 8.5x + 6y

Rearrange the equation by making the side with x, be on the Left Hand Side (LHS)

8.5x + 6y = C

Subtract 6y from both sides of the equation

8.5x + 6y - 6y = C - 6y

8.5x = C - 6y

Divide both sides of the equation by 8.5

(8.5x/8.5) = (C - 6y)/8.5

x = (C - 6y)/8.5

I hope this helped.

You might be interested in

A warehouse worker moved 108 pallets in 4.5 hours. In minutes, what is the rate to move one pallet? The worker will be off the c

klasskru [66]

Number of pallets moved in 4.5 hours = 108

converting 4.5 hours in minutes we get,

4*60 + 0.5*60 = 240+30 = 270 minutes

So, 108 pallets were moved in = 270 minutes

1 pallet was moved in = $\frac{270}{108}=2.5$ minutes

As the tie will get over in 2 hours or 2*60 = 120 minutes, the number of pallets that can be moved will be = $\frac{120}{2.5}= 48$ pallets.

Hence, 48 pallets can be moved before quitting time.

6 0

3 years ago

Read 2 more answers

I need help on this.

tatiyna

9514 1404 393

Answer:

(a) $1430

(b) $1340

Step-by-step explanation:

(a) The debit card is funded by Jenny's checking account, so it cannot be used to spend more than her checking account balance. The most Jenny can spend using her debit card is $1430.

(b) Amounts purchased using her credit card add to the credit balance. The most Jenny can purchase is the difference between her current balance and her credit limit.

Limit - balance = $2350 -1010 = $1340

The most Jenny can spend using her credit card is $1340.

(c) For a purchase of $1400, the amount available on Jenny's credit card is insufficient. She can make the purchase using her debit card.

5 0

3 years ago

HELP PLS ASAP!!

DedPeter [7]

Answer:

cos^(-1)(12/13) = 22.62°

Step-by-step explanation:

Inverse trig functions are used to find angles. I was taught SOH CAH TOA: sine = opposite/hypotenuse, cosine = adjacent / hypotenuse, tan = opposite / adjacent.

Here, we have an adjacent side length and the hypotenuse. So we use inverse cosine.

4 0

3 years ago

According to the U.S. Bureau of Labor Statistics, 20% of all people 16 years of age or older do volunteer work. In this age grou

Murljashka [212]

Answer:

1. P(X≥35) = 0.0183

2. P(X≤21) = 0.0183

3. P(0.18<p<0.25) = 0.7915

Step-by-step explanation:

We have the proportion for women: pw=0.22, and the proportion for men: pm=0.19.

1. We have a sample of 140 woman and we have to calculate the probability of getting 35 or more who do volunteer work.

This is equivalent to a proportion of

$p=X/n=35/140=0.25$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.22*0.78}{300}}\\\\\\ \sigma_p=\sqrt{0.0006}=0.0239$

We calculate the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.25-0.22}{0.0239}=\dfrac{0.03}{0.0239}=0.8198$

Then, the probability of having 35 women or more who do volunteer work in this sample of 140 women is:

$P(X>35)=P(p>0.25)=P(z>2.0906)=0.0183$

2. We have to calculate the probability of having 21 or fewer women in the group who do volunteer work.

The proportion is now:

$p=X/n=21/140=0.15$

We can calculate then the z-score as:

$z=\dfrac{p-p_w}{\sigma_p}=\dfrac{0.15-0.2}{0.0239}=\dfrac{-0.05}{0.0239}=-2.0906$

Then, the probability of having 21 women or less who do volunteer work in this sample of 140 women is:

$P(X$

3. For the sample with men and women, we use the proportion for both, which is π=0.2.

The sample size is n=300.

Then, the standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.2*0.8}{300}}\\\\\\ \sigma_p=\sqrt{0.0005}=0.0231$

We can calculate the z-scores for p1=0.18 and p2=0.25:

$z_1=\dfrac{p_1-\pi}{\sigma_p}=\dfrac{0.18-0.2}{0.0231}=\dfrac{-0.02}{0.0231}=-0.8660\\\\\\z_2=\dfrac{p_2-\pi}{\sigma_p}=\dfrac{0.25-0.2}{0.0231}=\dfrac{0.05}{0.0231}=2.1651$

We can now calculate the probabilty of having a proportion within 0.18 and 0.25 as:

$P=P(0.18$

5 0

4 years ago

Can anyone help me?

bija089 [108]

Answer:

Step-by-step explanation:

y= -833.3+42,000

29,500

6 0

2 years ago