Combine the like terms to create an equivalent expression:

Mathematics

1 answer:

Sphinxa [80]3 years ago

6 0

Answer:

Step-by-step explanation:

−k−(−8k) = -k +8k = 7k

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2. A stone is an English measure of weight. There are 14 lb in 1 stone and 2.2 lb in 1 kg. A certain person weighs 9 stone. (a)

Tasya [4]

Multiply the person's weight (9 stone) by the conversion factors (14 lb / 1 stone) and (1 kg / 2.2 lb). Please show your work.

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2 years ago

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Question 8: Find the equation of the straight line that:

Scorpion4ik [409]

Answer:

$y=4x+6$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

1) Plug the gradient into the equation (b)

$y=mx+b$

We're given that the gradient of the line is 4. Plug this into $y=mx+b$ as m:

$y=4x+b$

2) Determine the y-intercept (b)

$y=4x+b$

Plug in the given point (1,10) as (x,y) and solve for b

$10=4(1)+b\\10=4+b$

Subtract 4 from both sides to isolate b

$10-4=4+b-4\\6=b$

Therefore, the y-intercept of the line is 6. Plug this back into $y=4x+b$ as b:

$y=4x+6$

I hope this helps!

8 0

2 years ago

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Round 287.9412 to the nearest tenth. Do not write extra zeros.

goldenfox [79]

Salutations!

Round 287.9412 to the nearest tenth.

Lets solve this!

To round to the nearest tenth, you need to know the tenth place--------

In the number, 287.9412, nine is in the tenth place. You need also make sure whether the number next to 9 is greater than 5 or not.

287.9412 =287.941=287.94=287.9=288=290

Thus, your answer is 290.

Hope I helped.

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2 years ago

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Ax over b plus cx over d equals e solve for x

Lorico [155]

$\frac{ax}{b}+\frac{x}{d}=e\ \ \ \ \ \ |multiply\ both\ sides\ by\ "bd"\\\\bd\times\frac{ax}{b}+bd\times\frac{cx}{d}=bde\\\\adx+bcx=bde\\\\(ad+bc)x=bde\ \ \ \ \ |divide\ both\ sides\ by\ (ad+bc)\\\\\boxed{x=\frac{bde}{ad+bc}}$