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babymother [125]
3 years ago
7

Gary drove to the park at a rate of 50 miles per hour if it took him 2.5 hours to get from his house to the park how far away is

the park from his house​
Mathematics
1 answer:
Marina86 [1]3 years ago
4 0

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So,  distance between park and Gary's house = speed × time

= 50 × 2.5

= 125 miles

So, the park is 125 miles away from the Gary's house.

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Draw the graph of the line that is parallel to y−3=1/3(x+2) and goes through the point (1,7).
horrorfan [7]

Answer:

Step-by-step explanation:

First find the slope of the given line.

y - 3 = 1/3(x+2)

y - 3 = (1/3)x + 2/3

y = (1/3)x + 2/3 + 3

y = (1/3)x + 11/3

Compare it with

y = mx + c

We get m = 1/3

As the parallel lines have same slope, the slope of the second line will also be m= 1/3

y = mx + c

y = (1/3)x + c

As this line goes through the point (1,7), substitute it in the equation:

7 = (1/3)1 + c

7 = 1/3 + c

c = 7 - 1/3

c = 21-1/3

c = 20/3

The equation of the line is found by substituting m = 1/3 and c = 20/3 into the general equation

y = mx + c

y = (1/3)x + 20/3

Graph of the equation is shown

5 0
3 years ago
30 POINTS FOR THIS ONE
satela [25.4K]

Answer:

1. 0.5

2. 3/4

3. -6

4. 5x

Step-by-step explanation:

1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.

The decimal coefficient is therefore 0.5. It is the coefficient of x.

2. The fractional coefficient is 3/4. It is the coefficient of y.

3. The negative coefficient is -6. It is the coefficient of b.

4. A like term is one which contains the same type of terms as another term.

3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.

5 0
3 years ago
Will give brainliest
Sonja [21]

The sum of the two <em>rational</em> equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).

<h3>How to simplify the addition between two rational equations</h3>

In this question we must use <em>algebra</em> definitions and theorems to simplify the addition of two <em>rational</em> equations into a <em>single rational</em> equation. Now we proceed to show the procedure of solution in detail:

  1. (n + 5) / (n² + 3 · n - 10) + 5 / (3 · n²)      Given
  2. (n + 5) / [(n + 5) · (n - 2)] + 5 / (3 · n²)     x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)
  3. 1 / (n - 2) + 5 / (3 · n²)     Associative and modulative property / Existence of the multiplicative inverse
  4. [3 · n² + 5 · (n - 2)] / [3 · n² · (n - 2)]       Addition of fractions with different denominator
  5. (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²)       Distributive property / Power properties / Result

To learn more on rational equations: brainly.com/question/20850120

#SPJ1

4 0
2 years ago
It is a six-digit whole number.
Alex Ar [27]
I believe the answer is 922,944
5 0
2 years ago
Read 2 more answers
A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre
adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = \sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15

Thus, the answer is 15 miles.

Hope this helps!

3 0
3 years ago
Read 2 more answers
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