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Ne4ueva [31]
3 years ago
7

What is the sum of the fractions 3over5 +7/5

Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0

Answer:

2 is the answer

Step-by-step explanation:

3/5+7/5

3+7/5( if the denomeneter are same we can write one number )

10/5

2 is the answer ( divide both numbers by 5)

Hope it is helpful for you

please follow me

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What is the solution of the equation? Eliminate any extraneous solutions √3x + 28 - 8 = x
Alecsey [184]
The answer to the solution is x=43+√249/2

I hope this helps.
6 0
2 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.
Elanso [62]

Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

  -4y=-3x+7

Divide both sides by -4:

   y=\frac{-3}{-4}x+\frac{7}{-4}

Simplify:

   y=\frac{3}{4}x+\frac{-7}{4}

So the slope of this line is 3/4.  So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of y=\frac{3}{4}x+b.

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

-2=\frac{3}{4}(-4)+b

-2=-3+b

3-2=b

b=1

so the equation of our line in slope-intercept form is y=\frac{3}{4}x+1

So that isn't option 1 because the slope is different.  That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

y=\frac{3}{4}x+1

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

4y=3x+4

Subtract 3x on both sides:

-3x+4y=4

I don't see this option either.

Multiply both sides by -1:

3x-4y=-4

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

7 0
3 years ago
Read 2 more answers
Determine the value of the expression 2(x - 3) when x = 2.
erica [24]

Answer:

-2

Step-by-step explanation:

2(x-3), x=2

Since we know what x equals, plug it into the equation

2(2-3)

2(-1)

-2

8 0
2 years ago
Read 2 more answers
8+x/2=-12 i need help badly
Musya8 [376]
First subtract 8 from both sides 
leaving you with x/2 = -20 
Then multiply both sides by two to get rid of the denominator
which leaves you with x = -40
4 0
2 years ago
Read 2 more answers
NEED HELP A triangle is cut from a rectangle. The height of the triangle is half of the unknown side length s. The area of the s
Nesterboy [21]

Answer: 14s - 7s/2 = 84

Step-by-step explanation:

Given that s is the length of the unknown side:

Area of the shaded region = 84

Area of rectangle - Area of triangle = 84

Area of rectangle = L * W

= 14 * s

= 14s

Area of triangle = ¹/₂ * base * height

= ¹/₂ * 14 * s/2

= 7s/2

Area of shaded region:

14s - 7s/2 = 84

Solving for s:

14s - 7s/2 = 84

28s - 7s = 168

21s = 168

s = 168/21

s = 8 inches

4 0
2 years ago
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