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viktelen [127]
2 years ago
5

PLZ HELP find the value of x in each of the following x/3-2=6 and x/5+1=5

Mathematics
2 answers:
Aleks [24]2 years ago
8 0
The first one is X = 24 & the second one is x= 20
Fed [463]2 years ago
4 0

Answer:

x = 24

x = 20

Steps :

1) \ \frac{x}{3} - 2 = 6\\\\\

 \frac{x - 6 }{3} = 6\\\\\  \ x-6 = 6 \times 3\\\\\ \ x - 6 = 18\\\\\ \ x = 24

2) \frac{x}{5} + 1 = 5

  \frac{x+5}{5} = 5\\\\x + 5 = 5 \times 5\\\\x + 5 = 25\\\\x = 20

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How to solve this pythagoras theorem
My name is Ann [436]

Answer:

see explanation

Step-by-step explanation:

The hypotenuse is the longest side thus is (4x + 1)

The legs are 2x and (4x - 1)

Using Pythagoras' theorem, then

(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors

16x² + 8x + 1 = 4x²  + 16x² - 8x + 1 , that is

16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )

- 4x² + 16x = 0 ( multiply through by - 1 )

4x² - 16x = 0 ← factor out 4x from each term

4x(x - 4) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x - 4 = 0 ⇒ x = 4

Now x > 0, thus x = 4

2x = 2(4) = 8

4x - 1 = 4(4) - 1 = 16 - 1 = 15

4x + 1 = 4(4) + 1 = 16 + 1 = 17

Thus

perimeter = 8 + 15 + 17 = 40 cm

3 0
3 years ago
Help me with this exercise
Vinil7 [7]
<em>The answer you are looking for is: </em>
<em><u>270 yards^{2} </u></em>
<em><u>15*18= 270 </u></em>
<em><u>And you have to add the yard square at the end. </u></em>
<em>Hope that helps!! </em>
<em>Have a wonderful day!!</em><span />
6 0
3 years ago
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the
Alborosie

Answer:

Step-by-step explanation:

Let the subscripts d and n represent day and night respectively

The null hypothesis is

H0 : μd ≥ μn

The alternative hypothesis is

H1 : μd < μn

it is a one-tailed and also a right left test because of the greater than symbol in the alternative hypothesis.

The decision rule is to reject H0: μd ≥ μn If 0.10 > p value

Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (xd - xn)/√σd²/nd + σn²/nn

Where

xd and xn represents sample means for day and night respectively.

σd and σn represents population standard deviations for day and night respectively.

nd and nn represents number of samples

From the information given,

xd = 334

xn = 341

σd = 23

σ2 = 28

nd = 60

nn = 68

z = (334 - 341)/√23²/60 + 28²/68

= - 7/√20.34607843138

z = - 1.55

From the normal distribution table, the probability value corresponding to the z score is 0.061

Since the level of significance, 0.1 > 0.061, we would reject H0

Therefore, there is enough evidence to conclude that there are more units produced on the night shift than on the day shift.

8 0
2 years ago
Val walks 2 3/5 miles each day . Bill returns 10 miles once every 4 days . In 4 days, who covers the greatest distance
julia-pushkina [17]
Val by 4/10 walk longer
7 0
2 years ago
–5x+4-x-1<br> 10 points I’ll mark brainliesr I need asap
prohojiy [21]

-5x+4-x-1

combine the like terms first

-5x-x+4-1

-5x-x=-6x

+4-1=3

answer:

-6x+3 or 3-6x

3 0
2 years ago
Read 2 more answers
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