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Mice21 [21]
3 years ago
8

A car travels 45km in an hour. In each of the next two hours, it travels 78km. What is the average speed of the car.

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

The average speed of car is 67 kilometers per hour.

Step-by-step explanation:

Given that:

Distance travelled in one hour = 45 km

Distance travelled in next 2 hours = 78*2 = 156 km

Total distance = 45+156 = 201

Total time = 1+2 =  3 hours

Average speed of the car = \frac{Total\ distance}{Total\ time}

Average speed of the car = \frac{201}{3}

Average speed of the car = 67 km/hr

Hence,

The average speed of car is 67 kilometers per hour.

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Here are the equations for 4
Kipish [7]

Answer:

Please see attached graph.

Step-by-step explanation:

The equations for straight lines are given as:

i) y = x +4

ii) y= x-4

Yon can form a table for values of x and y that are true for an equation and use these values as coordinates ( x,y ) to plot the graphs and view the lines to select the correct labels for the equations.  

For i)

y= x+4

x       y      coordinates

-3       1          (-3,1 )

-2        2         (-2,2)

-1         3          (-1,3)

0          4         ( 0,4)

1           5          ( 1,5)

2           6         ( 2,6)

3            7         ( 3,7)

Plot the points on a graph tool and draw the line. Do the same for the second equation to view both graphs as shown in the attached graph.

6 0
3 years ago
Ms Sherman is preparing 5 and 5/8 cups of rice for his family reunion. She plans to use 1/4 of a cup for each serving. How many
Temka [501]

5 5/8  as an improper fraction

(8*5 +5) /8 = 45/8

45/8 divided by 1/4 =

copy dot flip

45/8 * 4/1 = 45/2

22 1/2

She has 22 1/2 servings

4 0
3 years ago
Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?
Brut [27]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>1/18 of a gallon of juice in each cup.</em>

▹ Step-by-Step Explanation

Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.

\frac{4}{9} / 8

Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:

\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}

Our final answer will be 1/18 of a gallon of juice in each cup.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

5 0
3 years ago
What are the measurements of the sides of a pentagon that has the area of 32?
LenaWriter [7]

Answer:

4.31 units

Step-by-step explanation:

A pentagon is a polygon with five straight sides.

The formula to apply here will be finding area from side length, assuming that this is  a regular pentagon with five sides of equal length.

Lets take each side length to be x units

Divide the pentagon into five triangles by joining a line from the center to any vertex of the pentagon.

Now you have five equal triangle.Take the base triangle and divide it into two(take a line from center of pentagon to hit the base at 90°)

This will divide the base triangle of length x unit into two equal triangles with base length x/2 units.

The angle at the pentagon center for the small formed triangle will be 36°. Here you have a triangle with base x/2 units and angle 36° at top center.

To get the height of the triangle you apply formula for tangent of an angle;

height, h=0.5x /tan 36°

Find area of the small triangle;

Area=1/2 *b*h

where b is base length=0.5x and h is height = 0.5x/tan 36°

Area=1/2*0.5x * (0.5x /tan 36°) Area for one small triangle.

However, you notice that you will have 10 small triangles for the whole pentagon, hence multiply this area by 10 which should be equal to the area of the pentagon given 32.

32=1/2 * 0.5x *(0.5x /tan 36°) *10

32=1.25x² /tan 36°

32*0.7265=1.25x²

18.60=x²

√18.60=x

4.31=x

Measurement of one side is 4.31 units

3 0
3 years ago
Cost of a New Car From 1970 to 1990, the average cost of a new car, C
Lunna [17]

Answer:

In year 1986 the average  cost of car is  $12,000

Step-by-step explanation:

Cost function:

C = 30.5t² + 4192

Cost = $12,000

Find:

Year

Computation:

C = 30.5t² + 4192

12,000 = 30.5t² + 4192

t = 16 year

So,

Year 1970 + 16 year

1986

So, In year 1986 the average  cost of car is  $12,000

3 0
3 years ago
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