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3 years ago

5

A man jogs from his home to the nearst market 25km away jogs at an average speed 5km 1h. how long does it taken him to reach the

market

1 answer:

mr_godi [17]3 years ago

8 0

Answer:

1/5

Step-by-step explanation:

first write the formula of average speed

2) then equate the values of given question
3) you will find the solution

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A line passes through the point (6,-3) and has a slope of -3/2 write an equation in slope intercept form

Vadim26 [7]

Answer:

y = - $\frac{3}{2}$ x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = - $\frac{3}{2}$ , hence

y = - $\frac{3}{2}$ x + c ← is the partial equation

to find c substitute (6, - 3 ) into the partial equation

- 3 = - 9 + c ⇒ c = - 3 + 9 = 6

y = - $\frac{3}{2}$ x + 6 ← equation in slope- intercept form

5 0

3 years ago

A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this

Stells [14]

Answer:

y=2x-2

Step-by-step explanation:

first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept

add 5 to both sides

x+2y=5

subtract x from both sides

2y=-x+5

divide by 2

y=-1/2x+5/2

perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")

to find the slope of I2:

since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))

so here's our equation so far:

y=2x+b

now we need to find b

because line will pass through (3,4), we can use it to solve for b

substitute 4 as y and 3 as x

4=2(3)+b

multiply

4=6+b

-2=b

therefore the equation is y=2x-2

hope this helps!!

3 0

3 years ago

Levi wants to order the fractions 1/3, 2/5, and 11/30 in descending order? How can you help him by using a common denominator? E

Georgia [21]

Answer:

The correct order of fractions in descending order will be:

$\frac{2}{5}, \frac{11}{30}, \frac{1}{3}$

Step-by-step explanation:

Given fraction:

$\frac{1}{3}, \frac{2}{5}, \frac{11}{30}$

To arrange them in descending order.

Solution:

In order to arrange the fractions in descending order, we will have to find the least common denominators.

To find the least common denominator, we will find the least common multiple of the denominators 3,5, and 30.

Since 30 is a common multiple of all 3 numbers, so it will be the least common denominator.

So, we multiply the numerators and denominators with same numbers in order to make the denominators = 30.

So, we have:

$\frac{1}{3}, \frac{2}{5}, \frac{11}{30}$

⇒ $\frac{1\times 10}{3\times 10}, \frac{2\times 6}{5\times 6}, \frac{11\times 1}{30\times 1}$

⇒ $\frac{10}{30}, \frac{12}{30}, \frac{11}{30}$

Now, we compare the numerators and arrange them accordingly.

$\frac{12}{30} > \frac{11}{30} > \frac{10}{30}$

So, the correct order of fractions in descending order will be:

$\frac{2}{5}, \frac{11}{30}, \frac{1}{3}$

3 0

3 years ago

Nathan flew 3,547 miles from Canada to California during the first part of his trip. He flew 2,567 miles from California to Hawa

AURORKA [14]

Difference in the number of miles Nathan flew between the first and second parts of his trip is 980 miles

<em><u>Solution:</u></em>

Given that Nathan flew 3,547 miles from Canada to California during the first part of his trip

He flew 2,567 miles from California to Hawaii during the second part of his trip

Therefore,

first part of his trip = 3547 miles

second part of his trip = 2567 miles

Difference in the number of miles Nathan flew between the first and second parts of his trip is given as:

difference = first part of his trip - second part of his trip

difference = 3547 - 2567 = 980

Therefore, the difference in number is 980 miles

4 0

4 years ago

In 1902, the yearly attendance at a major league baseball park was 3.4×10^5 people. One hundred years later, the yearly attendan

Eduardwww [97]

Answer:

1,360,000

Step-by-step explanation:

1,700,000-340,000 = 1,360,000 or 1.36×10^5

5 0

3 years ago