All categories

3 years ago

6x/2 + 45=160 Con el trabajo

Mathematics

1 answer:

spin [16.1K]3 years ago

8 0

Answer:

38.3

Step-by-step explanation:

subtract 45 from each side

6x/2 = 160-45

6x/2 = 115

multiply each side by 2

6x= 115*2

6x= 230

divide each side by 6

x= 230/6

x= 38.3

You might be interested in

A small military base housing 1,000 troops, each of whom is susceptible to a certain virus infection. Assuming that during the c

slava [35]

Answer:

$I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

Step-by-step explanation:

The rate of infection is jointly proportional to the number of infected troopers and the number of non-infected ones. It can be expressed as follows:

$\frac{dI}{dt}=a*I*(1000-I)$

Rearranging and integrating

$\frac{dI}{dt}=a*I*(1000-I)\\\\\frac{dI}{I*(1000-I)}=a*dt\\\\\int\frac{dI}{I*(1000-I)}=\int a*dt\\\\-\frac{ln(1000/I-1)}{1000}+C=a*t$

At the initial breakout (t=0) there was one trooper infected (I=1)

$-\frac{ln(1000/1-1)}{1000}+C=0\\\\-0,006906755+C=0\\\\C=0,006906755$

In two days (t=2) there were 5 troopers infected

$-\frac{ln(1000/5-1)}{1000}+0,006906755=a*2\\\\-0,005293305+0,006906755=2*a\\a = 0,00161345 / 2 = 0,000806725$

Rearranging, we can model the number of infected troops (I) as

$-\frac{ln(1000/I-1)}{1000}+0,006906755=0,000806725*t\\\\-\frac{ln(1000/I-1)}{1000}=0,000806725*t-0,006906755\\-ln(1000/I-1)=0,806725*t-0.6906755\\\\\frac{1000}{I}-1=exp^{0,806725*t-0.6906755} \\\\\frac{1000}{I}=exp^{0,806725*t-0.6906755}+1\\\\I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

6 0

3 years ago

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter

nikitadnepr [17]

Answer:

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?

Perimeter of a rectangle = 2L + 2W

The length is 3 times the width.

L = Length = 3W

W = Width

P = 120 ft

Hence:

120 = 2L + 2W

120 = 2(3W) + 2W

120 = 6W + 2W

120 = 8W

W = 120/8

W = 15 feet

Solving for Length

L = 3W

L = 3 × 15 feet

L = 45 feet

Therefore, the dimensions of your very own dog park is

Width = 15 feet

Length = 45 feet

3 0

3 years ago

Jack invests $4200 in a savings account paying 5.25% compounded quarterly, how much is in the account after 30 months?

vova2212 [387]

It will have 25,000 dollars in 30 months

3 0

3 years ago

Which route must use all of the vertices of a vertex-edge graph? (Check all that apply.)

zlopas [31]

An Euler path, in a graph or multi graph, is a walk through the graph which uses every edge exactly once. An Euler circuit is an Euler path which starts and stops at the same vertex. Our goal is to find a quick way to check whether a graph (or multi graph) has an Euler path or circuit.

hope it helps

4 0

3 years ago

Read 2 more answers

William is 3 years older than Charmaine.The sum of 3 times charmaines age and 2 times Williams age is 76.How old are William and

astra-53 [7]

Charmaine= x
William=x+3
3 times Charmaine = 3x
2times William = 2x+6
5x+6=76
5x=76-6
5x=70
X=14
Charmaine is 14
William is 3 years older so is 17

Check:
17x2= 34
14x3=42
34+42=76

So Charmaine is 14
William is 17

4 0

3 years ago