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3 years ago

3/10 x8 write in simplest form

Mathematics

1 answer:

dimulka [17.4K]3 years ago

3 0

$\dfrac 3{10} \times 8 \\\\\\=\dfrac{3 \times 8}{10}\\\\\\=\dfrac{3 \times 4 \times 2}{ 5\times 2}\\\\\\=\dfrac{12}5$

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A straight line intersects the curved graph y=x^2-4x at the point where x=-1 and x=-2. Work out the equation of the straight lin

mestny [16]

Y = -7x - 2 Use the two points given to find the slope (m) m = (y2 - y1) / (x2 - x1) m = ( 12-5 ) / (-2 - (-1)) m = -7 Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in. Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'. y = -7x + b 5 = -7(-1) + b b = -2 Final eqn: y = -7x - 2

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3 years ago

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There were 3 times as many monkeys as lions tom counted a total of 24 monkeys and lions. How many monkeys were there

arsen [322]

There where 72 monkey

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3 years ago

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$

Last step: substitute the slope and y intercept into y=mx+b.

$y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}$

That is the answer to this problem.

I hope this helps.

3 0

4 years ago

George is reading a book. At the end of 3 hours he has read 90 pages, and at the end of 5

jeka94

Answer:

74 pages/hour

Step-by-step explanation:

The average rate of change is the difference in the numbers of pages divided by the difference in the numbers of hours.

At the end of 3 hours, 90 pages were read.

At he end of 5 hours, 238 pages were read.

Difference in hours: 5 hours - 3 hours = 2 hours.

Difference in pages: 238 pages - 90 pages = 148 pages

The average rate of change is the difference in pages divided by the difference in hours.

average rate of change = (148 pages)/(2 hours) = 74 pages/hour

5 0

3 years ago

The perimeter of a rectangle is 140 feet. The length of the rectangle is 6 more than 2 times the width. What is the length of th

Alja [10]

The equations we get are
l = 6 + 2w (We get this from "The length of the rectangle is 6 more than 2 times the width.")
and
2l + 2w = 140 (We get this from the perimeter. Two times the length plus two times the width equals the perimeter of a quadrilateral.)

The first equation can be written as
l - 2w = 6

So now we have
2l + 2w = 140
l - 2w = 6
____________
Add the two equations.
We get 3l = 146

Divide by 3 on both sides.
l = 48 $\frac{2}{3}$

Your answer is 48 $\frac{2}{3}$ .

5 0

3 years ago