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4 years ago

Mike says he can find a fraction equivalent to 1/10 even though 1/10 is a unit fraction

2 answers:

8 0

To find an equivalent fraction, multiply both sides by a number.
1/10 x 2/2
2/20 = 1/10
an equivalent fraction is 2/20
Hope this helps!

mixas84 [53]4 years ago

7 0

2/20
3/30
5/50

etc

......,..........

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Determine which equation is parallel to the line JK and which is perpendicular to like JK

sattari [20]

Answer:

If the equation of JK is y = mx + c, then y = mx + c' is the equation of the straight line parallel to above and $y = - \frac{1}{m}x + b$ will be perpendicular to that.

Step-by-step explanation:

Let us assume that the line JK has the equation in slope-intercept form as

y = mx + c ............. (1)

Therefore, the equation has slope = m

Now, any straight line having an equation with slope m will be parallel to line JK.

So, the equation of the straight line which is parallel to equation (1) will be

y = mx + c', where, c' is any real constant.

Now, let us assume that another straight line having equation

y = nx + a is perpendicular to the line JK i.e. equation (1).

Now, we know if two lines are perpendicular to each other then the product of their slopes will be - 1.

So, mn = - 1

⇒ $n = - \frac{1}{m}$

Therefore, the equation of a straight line which is perpendicular to equation (1) will be $y = - \frac{1}{m}x + b$ where b is any real constant. (Answer)

3 0

4 years ago

Read 2 more answers

What is the solution for this problem?

Over [174]

First of all let's rearrange the equation for the given line:

4x + 7y + 3 = 0
7y = -4x - 3
y = (-4/7)x - 3/7
Now we know that the gradient of the line is -4/7

The gradients of two perpendicular lines multiply by each other to give -1, ie.
(-4/7)*m = -1
m = -1/(-4/7)
= 7/4, therefor the gradient of the perpendicular line is 7/4

Now we can substitute this and the point (-2, 1) into the equation y - y1 = m(x - x1)
y - 1 = 7/4(x - (-2))
y = 7/4x + 7/2 + 1
y = 7/4x + 9/2

If we look at the given answers then C is correct, since 9/2 = 18/4 and so the equation may also be written as y = 7/4x + 18/4

8 0

3 years ago

Byron can fill a drying rack with dishes in 15 minutes. While Byron fills the drying rack, Emmitt takes dishes out of the drying

Olegator [25]

Answer:

Hi!

The correct answer is d) 1 over 15 minus 1 over x equals x over 35.

Step-by-step explanation:

We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.

We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.

We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.

So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.

$\frac{1}{15}-\frac{1}{x} = \frac{1}{35}$ // multiply by 105x both sides.

$105x\frac{1}{15}-105x\frac{1}{x} =105x \frac{1}{35}$ // simplifly

$7x - 105 = 3x$ //substract 3x and add 105 in both sides

$7x - 3x - 105 + 105 = 3x - 3x + 105$ // solve

$4x = 105$ // divide by 4 in both sides

$\frac{4x}{4} = \frac{105}{4}$ // solve

$x = 26.25$

It makes sense that Byron fills the rack faster than Emmitt empties the rack.

7 0

3 years ago

Brianna walks at a steady rate of 3.5 miles per hour. Write a direct proportion equation based on this statement. Identify all v

pychu [463]

Answer:

Step-by-step explanation:

Based on the information provided we can create the following direct proportion equation...

D = 3.5x

In this equation, the variable D represents the distance that Brianna has walked while the variable x represents the number of hours she walked. In this equation, the constant of proportionality would be the 3.5 miles that Brianna walks per mile. This value affects the entire equation because it is multiplied by the number of hours Brianna walks which is directly proportional to the Distance she travels, as one value increases so does the other.

6 0

3 years ago

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!

77julia77 [94]

Answer:

$125

Step-by-step explanation:

To solve this, we need to find 2.5% of 5,000. To do this, we multiply 5,000 by .025. This gets us 125. That means you earn $125 worth of interest in one year.

7 0

3 years ago

Read 2 more answers