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2 years ago

Solve the equation. 2x+1/3+x-1/4=13/2

Mathematics

1 answer:

inessss [21]2 years ago

4 0

The solution of the equation is x = 71 / 36.

<h3>How to solve an equation with one variable</h3>

Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:

2 · x + 1 / 3 + x - 1 / 4 = 13 / 2 Given

2 · x + x = 13 / 2 - 1 / 3 - 1 / 4 Compatibility with addition / Existence of additive inverse / Modulative property

3 · x = 71 / 12 Definitions of addition and subtraction / Distributive property

x = 71 / 36 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / Result

The solution of the equation is x = 71 / 36.

To learn more on equations: brainly.com/question/10413253

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When surveyed 5 out of 32 students said they ride their bikes to school. Predict how many students in a school of 800 ride their

yKpoI14uk [10]

Answer:125 students

Step-by-step explanation:if 5 out of every 32 students bikes

5=32

X=800

800(5)=4000

4000/32=125

7 0

3 years ago

The table in the lesson shows the number of sets of twins, triplets, quadruplets, and quintuplets registered at a twin conventio

Korolek [52]

Answer:

5494

Step-by-step explanation:

Assuming all members of each set registered, the total number is ...

2(2697) +3(29) +4(2) +5(1) = 5494

Since you're concerned with order of operations, perhaps you want to see the working out.

= 5394 + 87 +8 +5 . . . . perform all the multiplications

= 5481 +8 +5 . . . . . . . . . perform addition left to right

= 5489 +5

= 5494

8 0

4 years ago

Fran swims at a speed of 2.9 km/h in still water. The Lazy River flows at a speed of 0.1 km/h. How long will it take Fran to swi

slega [8]

Answer:

Fran's upstream speed (against the current):

2.9 km/hr - 0.1 km/hr = 2.8 km/hr

Fran's downstream speed (with the current):

2.9 km/hr + 0.1 km/hr = 3.0 km/hr

Using the distance formula for calculating time:

rate x time = distance

time = distance / rate

Fran's upstream time = 9 / 2.8 = 3.21 hrs

Fran's downstream time = 9 / 3.0 = 3.0 hrs

6 0

3 years ago

NGC is a hot air balloon in the sky from her spot on the ground. The angle of elevation from Angie to the balloon is 40°. If she

Goshia [24]

Answer:

The distance from hot air balloon to the ground $AC=50.1457 ft$ .

Step-by-step explanation:

Labelled diagram of given scenario is shown below.

Given that,

An angle of elevation of Hot air balloon by Angie is $40$ °.

When she stepped back $200 ft$ then angle of elevation was $10$ °.

Height of Angie is $5.5 ft$ .

To find: How far off the ground is a hot air balloon.

So, from figure

Height of Angie $(BC) = 5.5ft$

In triangle Δ $ABD$ ,

⇒ $tan {40\si {\degree}} = \frac{AB}{BD}$

⇒ $AB = tan (40) \times BD$ ....................(1)

Now, In triangle Δ $ABE$

⇒ $tan (10)= \frac{AB}{200+BD}$

⇒ $AB = tan(10)\times (200+BD)$

Here, substituting the value $AB$ from Equation (1) we get,

$tan(10)\times (200+BD)= tan(40)\times BD$

$tan(10)\times 200+tan(10)\times BD= tan(40)\times BD$

⇒ $BD\times (tan(40)-tan(10))=tan(10)\times 20$

⇒ $BD\times 0.6628 = 35.2654$

⇒ $BD = \frac{35.2654}{0.6628} =53.2067 ft$

Now, finding the value of $AB$ from equation (1)

$AB= tan(40)\times 53.2067=0.8391\times 53.2067$

$AB=44.6457 ft$

Therefore Length of $AC= AB+BC$ = $(44.6457 + 5.5) ft$

$AC=50.1457 ft$ .

Hence,

The distance from hot air balloon to the ground $AC=50.1457 ft$ .

6 0

3 years ago

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 househo

Vilka [71]

Answer:

0.007

Step-by-step explanation:

We were told in the above question that a random sample of 51 households is monitored for one year to determine aluminum usage

Step 1

We would have to find the sample standard deviation.

We use the formula = σ/√n

σ = 12.2 pounds

n = number of house holds = 51

= 12.2/√51

Sample Standard deviation = 1.7083417025.

Step 2

We find the z score for when the sample mean is more than 61

z-score formula is z = (x-μ)/σ

where:

x = raw score = 61 pounds

μ = the population mean = 56.8 pounds

σ = the sample standard deviation = 1.7083417025

z = (x-μ)/σ

z = (61 - 56.8)/ 1.7083417025

z = 2.45852

Finding the Probability using the z score table

P(z = 2.45852) = 0.99302

P(x>61) = 1 - P(z = 2.45852) = 0.0069755

≈ 0.007

Therefore,the probability that the sample mean will be more than 61 pounds is 0.007

6 0

3 years ago