10/12 equipment fractions

In 10 minutes, Max ran 1.45 km while Avery ran 1.61 km. How much more did Avery run?

SOVA2 [1]

Answer:

0.16km

Step-by-step explanation:

Unless I am missing something it is a simple subtraction problem and the time is not needed. It is simply asking how much farther Avery ran than Max, which is 1.61km - 1.45km which is 0.16km

6 0

3 years ago

D/3+10=7 will make brainiest to the first two people that answer correctly with explanation

gogolik [260]

Answer:

D = -9

Step-by-step explanation:

Solve for D:

D/3 + 10 = 7

Hint: | Put the fractions in D/3 + 10 over a common denominator.

Put each term in D/3 + 10 over the common denominator 3: D/3 + 10 = D/3 + 30/3:

D/3 + 30/3 = 7

Hint: | Combine D/3 + 30/3 into a single fraction.

D/3 + 30/3 = (D + 30)/3:

(D + 30)/3 = 7

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (D + 30)/3 = 7 by 3:

(3 (D + 30))/3 = 3×7

Hint: | Cancel common terms in the numerator and denominator of (3 (D + 30))/3.

(3 (D + 30))/3 = 3/3×(D + 30) = D + 30:

D + 30 = 3×7

Hint: | Multiply 3 and 7 together.

3×7 = 21:

D + 30 = 21

Hint: | Isolate terms with D to the left hand side.

Subtract 30 from both sides:

D + (30 - 30) = 21 - 30

Hint: | Look for the difference of two identical terms.

30 - 30 = 0:

D = 21 - 30

Hint: | Evaluate 21 - 30.

21 - 30 = -9:

Answer: D = -9

3 0

3 years ago

Read 2 more answers

Solve for −5(x+1)=−3(2x−2)

Nitella [24]

Answer:

x=11

Step-by-step explanation:

7 0

3 years ago

Graph the equations

timurjin [86]

Answer:

We conclude that, at 4 minutes, both will have the same height which is 200 feet.

Step-by-step explanation:

Given the system of equations

$y=400+50x$

$y=300+25x$

Important Tip:

The point of intersection of the two lines would give us the point at which both have the same height.

Graphing the system of equations

The graph of the equation y = 400 + 50x

First, determine the y-intercept of the equation y = 400 + 50x by substituting x = 0

$y = 400 + 50x$

$y = 400 + 50(0)$

$y = 400 + 0$

$y = 400$

Thus, we determine that the ordered pair (0, 400) represents the y-intercept of the equation y = 400 + 50x.

Next, determine the x-intercept of the graph of the equation y = 400 + 50x by substituting y = 0

$y = 400 + 50x$

$0=400+50x$

switch sides

$400+50x=0$

Subtract 400 from both sides

$400+50x-400=0-400$

Simplify

$50x=-400$

Divide both sides by 50

$\frac{50x}{50}=\frac{-400}{50}$

Simplify

$x=-8$

Thus, we determine that the ordered pair (-8, 0) represents the x-intercept of the equation y = 400 + 50x.

Important Tip:

The point at which the graph crosses the y-axis is called the y-intercept.

The point at which the graph crosses the x-axis is called the x-intercept.

The red graph on the diagram represents the equation y = 400 + 50x having the y-intercept (0, 400) and x-intercept (-8, 0)

Please check the attached diagram.

The graph of the equation y = 300 + 25x

Now, determine the y-intercept of the equation y = 300 + 25x by substituting x = 0

$y = 300 + 25x$

$y = 300 + 25(0)$

$y = 300 + 0$

$y = 300$

Thus, we determine that the ordered pair (0, 300) represents the y-intercept of the equation y = 300 + 25x.

Next, determine the x-intercept of the graph of the equation y = 300 + 25x by substituting y = 0

$y=300+25x$

$0 = 300 + 25x$

switch sides

$300+25x=0$

Subtract 300 from both sides

$300+25x-300=0-300$

Simplify

$25x=-300$

Divide both sides by 25

$\frac{25x}{25}=\frac{-300}{25}$

Simplify

$x=-12$

Thus, we determine that the ordered pair (-12, 0) represents the x-intercept of the equation y = 300 + 25x.

The blue graph on the diagram represents the equation y = 300 + 25x having the y-intercept (0, 300) and x-intercept (-12, 0)

Please check the attached diagram.

Analyze the POINT OF INTERSECTION:

As we already know that the point of intersection of the two lines would give us the point at which both have the same height.

The diagram indicates that:

at x = -4, the value of y = 200.

It is the point where both lines meet.

Thus, the point of intersection of the two lines is:

(x, y) = (-4, 200)

Conclusion:

As x represents the time in minutes and y represents the height in feet.

Thus, we conclude that at x = 4 minutes, both will have the same height i.e. y = 200 feet

Therefore, we conclude that, at 4 minutes, both will have the same height which is 200 feet.

7 0

3 years ago

If f(x)= x^1/2 - x and g(x)= 2x^3 - x^1/2 - x, find f(x) - g(x)

Pavlova-9 [17]

Answer:

$-2x^3+2x^{1/2}$

Step-by-step explanation:

First, you have to substitute both functions into the equation to get:

$f(x)-g(x) = (x^{1/2}-x) - (2x^3-x^{1/2}-x)$

Then, you distribute the negative sign in front of g(x) to get:

$= x^{1/2} - x -2x^3+x^{1/2}+x$

And finally, you add/subtract the x's that have the same power to get:

$=-2x^3+2x^{1/2}$

3 0

3 years ago

10/12 equipment fractions​

10/12 equipment fractions