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4 years ago

What is the rate of change for 2y=5x+10

Mathematics

1 answer:

sergeinik [125]4 years ago

7 0

Slope-Intercept Form: y = mx+b, with m = slope/rate of change and b = y-intercept.

So for this to be slope-intercept form, we first have to divide both sides by 2: $y=\frac{5}{2}x+5$

Now that it's slope-intercept form, we see that the rate of change is 5/2, or 2.5.

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Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave

USPshnik [31]

Answer:

Julio travel 3 hours by biking and 4 hours by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be $x.$

And the time Julio travel by walking be $y.$

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

$x+y=7$

$y=7-x\ \ \ .......(1)$

So, the distance travelled by bike:

Speed × time

$8\times x=8x$

And, the distance travelled by walking:

Speed × time

$7\times y=7y$

Now, the total distance travelled by Julio:

$8x+7y=52$

Substituting the value of $x$ from equation (1) we get:

$8x+7(7-x)=52$

$8x+49-7x=52\\\\x+49=52$

Subtracting both sides by 49 we get:

$x=3.$

The time Julio travelled with bike = 3 hours.

Now, to get the time Julio travelled by walking by substituting the value of $x$ :

$y=7-x\\\\y=7-3\\\\y=4\ hours.$

The time Julio travelled by walking = 4 hours.

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0

3 years ago

What is the area of the polygon

Paul [167]

Split this figure into 3 shapes: 2 triangles and 1 trapezoid

Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units

Area of the polygon = 7 + 10.5 + 18 = 35.5 square units

8 0

3 years ago

Read 2 more answers

Keisha is babysitting at $8 per hour to earn money for a car. So far she has saved $1300. The car that Keisha wants to buy costs

11Alexandr11 [23.1K]

Answer:

$4100

Step-by-step explanation:

For Kaisha to get this car we have these information available

Amount saved = $1300

The cost of the car = $5400

Let The amount left to complete the car = k

We have this equation

K + $1300 = $5400

K = 5400 - 1300

K = 4100

Therefore Kaisha still needs to earn an additional amount of $4100 for the total amount of the car to be completed.

5 0

3 years ago

In ∆AED, m∠DAE = 54°. What is m∠DAG?? m∠DAG = °

notka56 [123]

Answer: this is not worth 5 points

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Plz help with parent functions

grigory [225]

All positive numbers and zero. All positive numbers because any value that is absolute becomes positive.

7 0

3 years ago