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LuckyWell [14K]
3 years ago
7

Solve -2x+3=2x+3 and is it no, one or many solutions​

Mathematics
2 answers:
MrRissso [65]3 years ago
5 0

Answer:

One Solution

Step-by-step explanation:

-2x+3=2x+3

-2x+3-3=2x+3-3

-2x=2x

-2x-2x=2x-2x

-4x=0

\frac{-4x}{-4}=\frac{0}{-4}

x=0

Ivanshal [37]3 years ago
5 0

Answer: 0

Step-by-step explanation:

-2x+3=2x+3

-2x+3-3=2x+3-3

-2x=2x

-2x-2x=2x-2x

-4x=0

Therefor, the answer is 0.

x=0

* Hopefully this helps:) Mark me the brainliest:)!!!

<em>∞ 234483279c20∞</em>

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A culture started with 2,000 bacteria. After 2
Ket [755]

Answer: In 10 hours, 4000 bacteria will be present.

Step-by-step explanation:

Given that 2000 bacteria grew to 2400 in 2 hours,

growth/ increase rate = 2400 - 2000

= 400 bacteria increase in 2 hours

Per hour is therefore 400/2 = 200 bacteria increase per hour

If the bacteria increases by 200 per hour

If 200 = 1 hour

X = 10 hours

We cross multiply:

X = 200 x 10

X = 2000

Therefore, a culture with 2000 bacteria at the same growth rate will have increased by additional 2000 in 10 hours

So, after 10 hours, number of bacteria will be 2000 + 2000 = 4000 bacteria

3 0
3 years ago
A patient's total surgery charges are $1,278. The patient must pay the annual deductible of $1,000, and the policy states a 80-2
musickatia [10]

Answer:

The patient owe $1255.6 .

Step-by-step explanation:

As given

A patient's total surgery charges are $1,278.

The patient must pay the annual deductible of $1,000.

The policy states a 80-20 coinsurance.  (i.e 20% of the surgery amount is given by the patient .)

20% is written in the decimal form .

= \frac{20}{100}

= 0.20

20% of patients surgery cost  =  0.20 ×  $1278

                                                 = $ 255.6

Patients owe = Deductible cost + 20% of patients surgery cost

                      = $1000 + $255.6

                      = $ 1255.6

Therefore the patient owe $1255.6 .

8 0
3 years ago
Which description of the vector shown is correct ?
BartSMP [9]

Answer:

(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.

Step-by-step explanation:

From the figure, the coordinate of the tail of the vector,

(x_1,y_1)=(3,-6).

The coordinate of the head of the vector,

(x_2,y_2)=(-4,1).

The magnitude of a vector is the length between the head and tail of the vector.

By using the distance formula,

the magnitude of the vector = \sqrt{(1-(-6))^2+(-4-3)^2}

=\sqrt{(7^2+(-7)^2}\\\\=\sqrt{98}\\\\=7\sqrt{2}

Now, let \theta be the angle made by the vector with the positive direction of the x-axis, so

\tan\theta = \frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow \tan\theta = \frac{1-(-6)}{-4-3}=\frac{7}{-7}=-1 \\\\\Rightarrow \theta = \tan^{-1}(-1) \\\\\Rightarrow \theta =\pi- \tan^{-1}1 \\\\\Rightarrow \theta = \pi-\frac{\pi}{4} \\\\\Rightarrow \theta =\frac{3\pi}{4} \\\\\Rightarrow \theta = 135 ^{\circ}.

So, the magnitude of the vector is 7\sqrt 2 which makes 135 ^{\circ} with the positive direction of the x-axis.

Hence, option (B) is correct.

8 0
3 years ago
Read 2 more answers
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
aliina [53]

Answer:

a.  X~N(2,885, 651)

b.  0.086291

c.  0.00058

d.  3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting  the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

P(X

#substitute the given values in the formula to solve for P:

P(X

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0
3 years ago
A rectangular field 50 metres wide and x metres long required 260 metres of fencing​
KatRina [158]

Answer:

x=80

Step-by-step explanation:

im going to assume this is perimeter.

50+50=100

260-100=160

160÷2=80

3 0
3 years ago
Read 2 more answers
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