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3 years ago

Given mn, find the value of x. (6x+20) (8x-10)

Mathematics

1 answer:

Levart [38]3 years ago

8 0

6x+20
=2•3x+2•10
=2(3x+10)

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Suppose a and b vary inversely, and b = 8 when a = 6. Write a function that models the variation and find b when a = 30. Explain

ICE Princess25 [194]

1. If a and b vary inversely and b = 8 when a = 6:
b = k/ a
8 = k / 6
k = 6 * 8
k = 48
Function is:
b = 48 / a
2. When a = 30:
b = 48 / 30 = 8/5
b = 1.6

6 0

3 years ago

Which value of n makes the equation true?

Anettt [7]

Where’s the equation?

8 0

3 years ago

100 POINTS HELP ASAP Linear Combination

notka56 [123]

Answer:

1) $x=\dfrac12$

2) $n = -3 \ \ \textsf{and} \ \ m = -4$

3) see below

4) A: 0 = 1

Step-by-step explanation:

Question 1

$15-0.5(4x-2)+4x=17$

$\implies 15-2x+1+4x=17$

$\implies 2x+16=17$

$\implies 2x=1$

$\implies x=\dfrac12$

Question 2

$\textsf{rearrange} \ n=m+1 :$

$\implies -m=-n+1$

$\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\$

$\implies0=n+3$

$\implies n=-3$

$\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:$

$\implies m=-3-1$

$\implies m=-4$

Question 3

subtract the second equation from the first

divide both sides by -4

substitute found value for y into first equation

solve for x

Question 4

$3j=k$

$k=3j+1$

$\textsf{rearrange} \ 3j=k :$

$\implies -k=-3j$

$\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:$

$\implies 0=1$

Solution = A

6 0

2 years ago

Use the picture below to find the length of x. Round your answer to the nearest hundredth.

valentinak56 [21]

Answer: 6.71

=======================================

Work Shown:

The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.

Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x

a^2 + b^2 = c^2

3^2 + 6^2 = x^2

9 + 36 = x^2

45 = x^2

x^2 = 45

x = sqrt(45)

x = 6.7082039

x = 6.71

4 0

3 years ago

What is the circumference of a circle with weight of 3 1/8 inches?

MrRissso [65]

A circle can’t weigh any inches just gonna say that now. Assuming you meant “height” of 3.125 inches, then the circumference is C=2(pi)r, where r is 1/2 the height (radius is half of the diameter, this situation the diameter being 3.125 inches.

Circumference would be approximately 9.8174770424681 inches—
Or shortened to 2 decimals it’s approximately
9.82 inches
Or approximately
9.8 inches
Or approximately
10 inches

6 0

3 years ago