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Gekata [30.6K]
3 years ago
11

• Write an expression that is equivalent to 3(7 + x). 3(7 + x) + ? 2

Mathematics
2 answers:
stira [4]3 years ago
4 0

Answer:

21+3x

Step-by-step explanation:

maksim [4K]3 years ago
3 0

Answer:

21+3x

Step-by-step explanation:

Expand this:

3(7+x)

So it becomes:

21+3x

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The mayor of a large city claims that the average net worth of families living in this city is at most $300,000. A random sample
Sergeu [11.5K]

Answer:

Check the explanation

Step-by-step explanation:

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 300000

Alternative Hypothesis, Ha: μ < 300000

Test statistic,

z = (xbar - mu)/(sigma/sqrt(n))

z = (288000 - 300000)/(80000/sqrt(25))

z = -0.75

P-value Approach

P-value = 0.2266

As P-value >= 0.05, fail to reject null hypothesis.

8 0
3 years ago
PLEASE HELP ??<br><br> What is the length of x?
Dominik [7]

Answer:

4 1/2 is the length of x

7 0
3 years ago
Which of the following is a property of a parallelogram?
Lelu [443]

Answer:

Step-by-step explanation:the diagonals of a parallelogram bisect each other

4 0
4 years ago
Read 2 more answers
PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE "Brainliest" TO THE FIRST CORRECT PERSON!!!
saw5 [17]

Answer: x=18 ; y=6\sqrt{3}

Step-by-step explanation:

You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.

<u>Pythagorean's Theorem:</u>

The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.

a^2+b^2=c^2

x^2+y^2=(12\sqrt{3} )^2

x^2+y^2=12^2*\sqrt{3} ^2=432

<u>Sine of the Angle:</u>

Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:

sin(\alpha )=opposite/hypotenuse

sin(30)=y/12\sqrt{3}

\frac{1}{2} =y/12\sqrt{3}

y=6\sqrt{3}

Plug this value of 'y' into the first expression derived from Pythagorean's theorem:

x^2+y^2=432

x^2+(6\sqrt{3} )^2=432

x^2+108=432

x^2=432-108=324

x=\sqrt{324}

x=18

Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:

(\sqrt{324})^2+y^2=432

324+y^2=432

y^2=432-324=108

y=\sqrt{108}

y=\sqrt{36*3}

y=6\sqrt{3}

7 0
2 years ago
Simplify each algebraic expression.
GREYUIT [131]

Answer:

\huge\boxed{\sf-2x+28}\\\\\huge\boxed{\sf 10x-4}\\\\\huge\boxed{\sf 56-5x}\\\\\huge\boxed{\sf x-13}

Step-by-step explanation:

\sf 2x + 4(7-x)  \\\\Resolving \ Parenthesis\\\\2x + 28-4x \\\\Combining\ like\ terms\\\\2x-4x +28\\\\-2x + 28\\\\\rule[225]{225}{2}

\sf \\12x-(4+2x)\\\\12x-4-2x\\\\Combining \ like \ terms\\\\12x-2x - 4\\\\10x-4 \\\\\rule[22]{225}{2} \\2(10-x)+3(12-x) \\\\Resolving \ Parenthesis\\\\20-2x + 36 -3x\\\\Combining \ like \ terms\\\\20+36 -2x-3x\\\\56 - 5x \\\\\rule[225]{225}{2}

\sf 7(x-1)-6(x+1)\\\\Resolving \ Parethesis\\\\7x-7-6x-6\\\\Combining \ like \ terms\\\\7x-6x-7-6\\\\x - 13\\\\\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

3 0
3 years ago
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