What is the solution to this inequality?
15 + x 24
O A. x 39
O B. X29
O C. XS 39
O D. XS9

Answer:

x = 1

y = 5

z = 2

Step-by-step explanation:

System of equations:

6x - 2y + z = -2

2x + 3y - 3z = 11

x + 6y = 31

Isolate one variable in any of the equations:

x + 6y = 31

x = 31 - 6y

Plug in this value for x in another equation:

6(31 - 6y) - 2y + z = -2

186 - 36y - 2y + z = -2

186 - 38y + z = -2

-38y + z = -188

z = -188 + 38y

Plug in these values in the remaining equation:

2(31 - 6y) + 3y - 3(-188 + 38y) = 11

62 - 12y + 3y + 564 - 114y = 11

626 - 12y + 3y - 114y = 11

626 - 9y - 114y = 11

626 - 123y = 11

-123y = -615

y = 5

Plug in value of y into our other answers to solve for x and z:

x = 31 - 6(5)

x = 31 - 30

x = 1

z = -188 + 38(5)

z = -188 + 190

z = 2

Check your work:

6x - 2y + z = -2

6(1) - 2(5) + 2 = -2

6 - 10 + 2 = -2

-4 + 2 = -2

-2 = -2

Correct!

*Note there are several ways to solve for these types of problems. I used substitution*

Answer:

B. Identity

Step-by-step explanation:

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]

The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\green{x\:=\: 25° }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ 125° + [tex]x[/tex] + 30° = 180°

➪ [tex]x[/tex] + 155° = 180°

➪ [tex]x[/tex] = 180° - 155°

➪ [tex]x[/tex] = 25°

Therefore, the value of [tex]x[/tex] is 25°.

Now, the three angles of the triangle are 125°, 25° and 30°.

[tex]\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}[/tex]

✒ 125° + 25° + 30° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Answer:

x = 4 (ONE solution)

Step-by-step explanation:

This is a first order linear equation, so we can expect 1 solution.

Multiplying out the left side, we get:

8x - 24 = 7x - 20, which simplifies to:

x = 4 (ONE solution)

9514 1404 393

Answer:

  2. correct

  3. addition property of equality

  4. substitution property of equality

Step-by-step explanation:

You're asked for the Reasons, so you need to examine the Statements to see how you get from one line to the next.

The first line of Statement 2 differs from Statement 3 in that m∠GHI has been added to both sides of the equation (ignoring the typo in statement 3). The reason you can add the same thing to both sides of an equation is given by the Addition Property of Equality.

Statement 3 differs from Statement 4 in that one of the m∠GHI has been replaced by m∠JKL. We can do this replacement because those measures are equal to each other. Replacement of equals by equals is allowed by the Substitution Property of Equality.

Answer:

Step-by-step explanation:

5

      x + y = 5 => x = 5 - y

     y - 4 = - x

=> y - 4 = - ( 5 - y)

=> y - 4 = - 5 + y

=>4 = 5 , not true

So, no solution => system is inconsistent

6

option b

Explanation just as above.

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

We borrow money because we want to buy something. It may be as large as a property or a car, or something smaller like furniture or a computer. We may borrow money to spend it on experiences. It may be something as large as a loan to travel the world, to something smaller, like using a credit card for a meal out.

Answer:

18x + 18

Step-by-step explanation:

(10x + 8) – (-8x – 10)

(10x – (-8x)) + (8 – (-10))

(10x + 8x) + (8 + 10)

18x + 18

Answer:

The value of the z-test statistic is [tex]z = 0.68[/tex]

Step-by-step explanation:

An article claims that 12% of trees are infested by a bark beetle.

At the null hypothesis, we test if the proportion is of 12%, that is:

[tex]H_0: p = 0.12[/tex]

At the alternative hypothesis, we test if the proportion is different of 12%, that is:

[tex]H_1: p \neq 0.12[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.12 is tested at the null hypothesis:

This means that [tex]\mu = 0.12, \sigma = \sqrt{0.12*0.88}[/tex]

A random sample of 1,000 trees were tested for traces of the infestation and found that 127 trees were affected.

This means that [tex]n = 1000, X = \frac{127}{1000} = 0.127[/tex]

What is the value of the z-test statistic?

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.127 - 0.12}{\frac{\sqrt{0.12*0.88}}{\sqrt{1000}}}[/tex]

[tex]z = 0.68[/tex]

The value of the z-test statistic is [tex]z = 0.68[/tex]

Answer:

OP = 43.7

Step-by-step explanation:

since the triangle is similar use these ratios.

LM/OP = LK/ON

9/OP = 7/34

do cross multiplication

OP*7 = 34*9

OP = 306/7

OP = 43.71

OP = 43.7

Answer:

OP = 50

because that is the answer

Answer:

b bc it is i got it right

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

The given complex number is -2+5i

We need to find the product of −2+5i and its conjugate.

The conjuagate of -2+5i is -2-5i

So, it will become,

[tex](-2+5i)(-2-5i)[/tex]

We know that,

[tex](a-b)(a+b)=a^2-b^2[/tex]

Here, a = -1 and b = 5i

[tex](-2+5i)(-2-5i)=(-2)^2-(5i)^2\\\\=4-25i^2\\\\=4-25(-1)\ \ (As\ i^2=-1)\\\\=4+25\\\\=29[/tex]

So, the values of a+bi is equal to 29.

Answer: No.

Step-by-step explanation:

9/54 is equal to 1/6

Answer:

no, it is not

Step-by-step explanation:

9/54 can be simplified by dividing both sides by 3, getting 3/18. you can do this again and get 1/6. significantly smaller that l/3

Answer:

???

Step-by-step explanation:

asaan ang sasagutan

Answer:

A

Step-by-step explanation:

i took the test

Answer:

$495 (745 if you include the $250 deductible)

Step-by-step explanation:

70% of 700 is 490

700 - 490 = 210

70% of 950 is 665

950 - 665 = 285

210 + 285 = $495

Answer:

495

Step-by-step explanation:

70% of 700= 490

700 - 490= 210

70% of 950= 665

950 - 665= 285

Add them together

210 + 285= 495

The reason you might have gotten 345 is because you subtracted 495 with 250 but 250 is how much he has to pay for the medical insurance, not how much he also get off

Answer:

π/2 + n*π

Step-by-step explanation:

All real numbers except π/2 + n*π

Answer:

Step-by-step explanation:

For some problems, stating the domain actually means to identify what x CANNOT be as opposed to what x IS. This occurs with tangent and cotangent functions along with rational functions.

As far as the tangent function goes, look at your unit circle. Your unit circle gives you 2 values for each angle, the first value reflects the cosine of the angle and the second value reflects the sine of the angle. This is because cosine is directly related to the x values and sine is directly related to the y values; cos goes into the "x" position and sin goes into the "y" position inside the brackets just like x and y go into parenthesis for coordinates. Anyway, a ratio is undefined if the denominator equals 0, right? And since tangent is the same as sin/cos, tangent is undefined when cos is 0. This occurs at [tex]\frac{\pi}{2}+k\pi[/tex] . That means that tangent does NOT exist at pi over 2 and every integer of pi you add in after. Let's look at a couple of examples of how that domain "works". Adding in an integer means adding in 1, 2, 3, etc. If the domain of tangent is undefined at [tex]\frac{\pi}{2}+k\pi[/tex], then let's let k = 1, and

[tex]\frac{\pi}{2}+1\pi=\frac{\pi}{2}+\frac{2\pi}{2}=\frac{3\pi}{2}[/tex] . Now let k = 2:

[tex]\frac{\pi}{2}+2\pi=\frac{\pi}{2}+\frac{4\pi}{2}=\frac{5\pi}{2}[/tex]. Now let k = 3:

[tex]\frac{\pi}{2}+ 3\pi=\frac{\pi}{2}+\frac{6\pi}{2}=\frac{7\pi}{2}[/tex]. And it continues like that.

You can see when you graph the tangent function in radian mode on your calculator that these values where tangent is undefined show up as asymptotes. Use your unit circle and your graphs to determine the domain of trig functions.

Answer:

9

Step-by-step explanation:

the only thing we can say for sure is that JL is splitting the triangle and also its baseline IK in half.

so, both sides of the baseline must be equal :

3x = x + 6

2x = 6

x = 3

=> LK = x + 6 = 3 + 6 = 9

Answer:

They have different areas and different perimeters

Answer:

76.92 boxes each or round up to 77

Step-by-step explanation:

1000 ÷ 13 = 76.92

Answer: lil t j

Step-by-step explanation:

I’m not a goat but I fit the description we walk around with then bands in my pocket

Answer:

its C or A bro

Step-by-step explanation:

Answer:

15 8/9 pounds of 24%

28 1/9pounds of 60%

Step-by-step explanation:

x = pounds of 24%

44 - x = pounds of 60%

24x + 60(44  - x) = 47(44)

24x + 2640 - 60x = 2068

-36x + 2640 = 2068

-36x = -572

x = 15 8/9

44 - x = 28 1/9

Rounded

15 8/9 pounds of 24%

28 1/9pounds of 60%

4.67 $/gal is the price of gasoline.

Step-by-step explanation:

Given:

Price of gasoline = 1.3 €/L

1 gallon is equals to 3.785 Liters

1 euros is equals to  0.9497 US dollars

To find:

The price of gasoline in US dollars per gallon

Solution:

Price of the gasoline = 1.3 €/L

[tex]1 gal = 3.785 L\\1L=\frac{1}{3.785} gal\\ 1.3 euro /L=\frac{1.3 euro }{\frac{1}{3.785 }gal}\\=\frac{1.3 euro \times 3.785 }{1 gal}=4.9205 euro /gal[/tex]

Now convert euros to US dollars by using :

1 euros = 0.9497 $

The price of gasoline in US dollar per gallons:

[tex]4.9205 euro/gal=4.9205 \times 0.9497 \$/gal\\=4.6730 \$/gal\approx 4.67 \$/gal[/tex]

4.67 $/gal is the price of gasoline.

Learn more about conversions:

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brainly.com/question/2904463?referrer=searchResults

Answer:

[tex]{ \bf{by \: relations : }} \\ { \tt{ \frac{28}{7} = \frac{x}{8} }} \\ \\ { \tt{x = \frac{28 \times 8}{7} }} \\ x = 32 \\ \\ { \tt{y = 83 \degree}}[/tex]

Answer:

70/100 = 105/X ---> 70X = 10,500 ---> X = 150 games played.

Step-by-step explanation: