Please help with this. I will give you 5 score

Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach her

Pie

Answer:

$\huge\boxed{\sf Speed = 77\ km/hr}$

Step-by-step explanation:

<h3><u>Formula to be used in the question:</u></h3>

Speed = Distance / Time

<h3><u>Distance for the first 2 hours:</u></h3>

= 130 km

<h3><u>Distance for the next 3 hours:</u></h3>

Speed = 85 km/h

Time = 3 hours

So,

Distance = Speed × Time

Distance = 85 × 3

Distance = 255 km

So,

<h3><u>Total distance from home to destination:</u></h3>

= 130 + 255

= 385 km

<h3><u>Speed on the return journey:</u></h3>

Total distance = 385 km

Time = 5 hours

Speed = Distance / Time

Speed = 385 / 5

Speed = 77 km/hr

$\rule[225]{225}{2}$

4 0

1 year ago

What is the equation of a line in general form that passes through the point (1,-2) and has a slope of 1/3

ser-zykov [4K]

Answer:

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

Answer in point-slope form, you can rearrange this into the form which you need.

Step-by-step explanation:

recall that the general point-slope form of a linear equation looks like :

(y - y₁) = m(x - x₁)

where m is the slope and (x₁,y₁) is any point on the line

here we are given m = 1/3 and (x₁,y₁)=(1,-2)

simply substitute this info into the general equation above

(y - y₁) = m(x - x₁)

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

(y+2) = (1/3)(x-1) Answer in point-slope form, you can rearrange this into the form which you need.

4 0

2 years ago

Estimate the sum or difference.

dangina [55]

1) $\frac{4}{6}+\frac{1}{8}=\frac{19}{24}$

2) $\frac{2}{6}+\frac{7}{8}=\frac{29}{24}$

3) $\frac{5}{6}-\frac{3}{8}=\frac{11}{24}$

4) $\frac{4}{6}+\frac{3}{8}=\frac{25}{24}$

5) $\frac{7}{8}-\frac{5}{6}=\frac{1}{24}$

6) $\frac{1}{6}+\frac{7}{8}=\frac{25}{24}$

Step-by-step explanation:

In order to calculate the sum of two fractions, we first have to find the lowest common denominator of the two fractions, then multiply the numerator of each fraction by the ratio between the lowest common denominator and the original denominator, and then add/subtract the two new numerators.

1)

$\frac{4}{6}+\frac{1}{8}=$

Here the lowest common denominator between 6 and 8 is 24,

So we have to rewrite each fraction as having denominator 24: this means that we have to multiply both numerator and denominator of the 1st fraction by 4 (because 24/6=4), and both numerator and denominator of the 2nd fraction by 3 (because 24/8=3).

So the new numerators of the two fractions are:

$4\cdot 4 = 16\\1\cdot 3 = 3$

The expression then becomes:

$\frac{4}{6}+\frac{1}{8}=\frac{16}{24}+\frac{3}{24}=\frac{16+3}{24}=\frac{19}{24}$

2)

$\frac{2}{6}+\frac{7}{8}=$

Here the lowest common denominator between 6 and 8 is again 24,

so we have again to multiply both numerator and denominator of the 1st fraction by 4, and both numerator and denominator of the 2nd fraction by 3.

So the new numerators of the two fractions are:

$2\cdot 4 = 8\\7\cdot 3 = 21$

And we get:

$\frac{2}{6}+\frac{7}{8}=\frac{8}{24}+\frac{21}{24}=\frac{8+21}{24}=\frac{29}{24}$

3)

$\frac{5}{6}-\frac{3}{8}$

The denominators are the same, so the lowest common denominator is always 24. So we can adopt the same procedure, and new numerators are:

$5\cdot 4 = 20\\3\cdot 3 = 9$

And so:

$\frac{5}{6}-\frac{3}{8}=\frac{20}{24}-\frac{9}{24}=\frac{20-9}{24}=\frac{11}{24}$

4)

$\frac{4}{6}+\frac{3}{8}=$

Using the same lowest common denominator, 24, the new numerators are:

$4\cdot 4 = 16\\3\cdot 3 = 9$

And so we can rewrite the expression as

$\frac{4}{6}+\frac{3}{8}=\frac{16}{24}+\frac{9}{24}=\frac{16+9}{24}=\frac{25}{24}$

5)

$\frac{7}{8}-\frac{5}{6}=$

Again, the lowest common denominator is 24. This time the denominator of the 1st fraction is 8 while the denominator of the 2nd fraction is 6, so we have to multiply the numerator of the 1st fraction by 3 and the numerator of the 2nd fraction by 4.

We get:

$7\cdot 3 = 21\\5\cdot 4 = 20$

So the expression will be rewritten as:

$\frac{7}{8}-\frac{5}{6}=\frac{21}{24}-\frac{20}{24}=\frac{21-20}{24}=\frac{1}{24}$

6)

$\frac{1}{6}+\frac{7}{8}=$

Here the situation is similar to the first 4 exercises: using 24 as lowest common denominator, the numerators become

$1\cdot 4 = 4\\7\cdot 3 = 21$

So the expression becomes

$\frac{1}{6}+\frac{7}{8}=\frac{4}{24}+\frac{21}{24}=\frac{4+21}{24}=\frac{25}{24}$

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

8 0

2 years ago

What is 300 out of 2,530 as a percent

patriot [66]

In order to get the answer of that, let's understand first that the question can first be presented as a fraction form. So by breaking down the question, we will be able to get the fraction form which is 300/2530. Now in order to get the percent form of that, we simply divide 300 and 2530. The answer to that will result in 0.11858. Now we know for a fact that in order to make a decimal a percentage, we just have to move the decimal point two times to the right. So the answer is 11.858%

4 0

2 years ago

Read 2 more answers

0.5, 3/16, 0.75, 5/48 least to greatest

jarptica [38.1K]

An easy way for me to do this is to either make all of the fractions into decimals or all the decimals into fractions, whatever you prefer. I prefer fractions, but for typing reasons I’m going to make them all decimals. Making 5/48 into a decimal you divide 5 by 48 and get 0.104... and divide 3 by 16 and get 0.1875. Then from there, look at whatever tenths place number is the least (the number after the decimal). Two of them have one, so moving onto the next number, 8>0, which means 0.104 is less then 0.1875. Then 5<7. So from least to greatest, 5/48 (0.104), 3/16 (0.1875), 0.5, 0.75.
Good Luck!

7 0

3 years ago