On a Circle graph how many degrees must be in a sector to show 50%

Lisa drove 240 miles, then increased her speed by 20 miles per hour for 540 miles. If the second part of the drive took 3 hours

Sever21 [200]

Let u be speed while Lisa drove 240 miles and t be the time in completing 240 miles.

We have been given that Lisa increased her speed 20 mph than initial speed over next 540 miles. So her speed on next 540 miles will be $u+20$ mph.

Further more we are given that she took 3 hours more to complete the next 540 miles of the trip than she took in completing initial 240 miles. So she took $(t+3)$ hours in completing next 540 miles.

Since we know $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Now we will substitute our given values in our equation and find out the unknowns. After substitution we will get two equations and two unknowns.

$u=\frac{240}{t}.........(1)\\
\\
(u+20)=\frac{540}{t+3}........(2)$

Now we will substitute equation 1 in equation 2

$(\frac{240}{t}+20)=\frac{540}{t+3}$

Upon solving this equation, we get

$t=6$

Therefore, total time for Lisa to complete the entire trip is 6+6+3 = 15 hours.

And we know that total distance covered is 240+540 = 780 miles

Hence, average speed

$=\frac{\text{Total Distance}}{\text{Total Time}} = \frac{780}{15} = 52 \text{ miles per hour}$

6 0

3 years ago

Can someone PLEASE help me!! I'm doing a test and I'm really stuck of this question! Each of the small squares in the figure bel

Arturiano [62]

Answer:

40 meters²

Step-by-step explanation:

Formula for the area of a triangle is $\frac{1}{2} *b*h$

$\frac{1}{2} *10*8=\\5*8=\\40$

The area of the triangle is 40 m²

7 0

3 years ago

A floodlight red light at ground level Shines on a 4 ft tall Bush that is 6 ft away the bush cast a shadow on a building that is

Lerok [7]

Set up the proportion as follows: $\frac{bush (height)}{bush (length)} = \frac{building (height)}{building (length)}$ , then cross multiply to solve.

$\frac{4}{6} = \frac{x}{24}$

4(24) = 6(x)

4(4) = x <em>(divided both sides by 6)</em>

16 = x

Answer: 16 ft

7 0

3 years ago

Ian is playing video games. For every 11 enemies he defeats, he gets 6 points. If he has 24 points at the end of the game, how m

ohaa [14]

Hi

if he has 24 point he scored 24/ 6 = 4 times

As he score points every 11 ennemies,

He had : 4*11= 44 ennemies.

6 0

2 years ago

Use a ratio box to solve this problem the ratio of new pens was 4 to 7 in all there were 242 new pens how many new pens were in

Leya [2.2K]

Complete Question

Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?

Answer:

88 new pens

Step-by-step explanation:

The ratio of new pens : Old pens = 4:7

Sum of Proportion = 4 + 7 = 11

Total number of pens = 242 pens

The number of new pens is calculated as:

4/11 × 242 pens

= 88 new pens

Therefore, the number of new pens = 88 new pens

6 0

3 years ago