All categories

3 years ago

How long would it would take to travel 198 km at the rate of 36 km/h ?

Mathematics

2 answers:

GuDViN [60]3 years ago

5 0

The total distance is 198 km

The rate is 36 km/h

The formula for the time of travel is

t = d / r

where t is the time of travel

d is the distance

r is the rate

Substituting,

t = 198 / 36

t = 5.5 h

The answer is 5.5 h.

djyliett [7]3 years ago

3 0

Time = Distance ÷ Speed

= 198 km ÷ 36 km/h

= 5.5 h

You might be interested in

For a linear regression, what is the r-value of the following data to three

Nuetrik [128]

Answer:0.816

Step-by-step explanation:

Ape x

3 0

3 years ago

8. If a runner’s power is 400 W as she runs, how much chemical energy does she convert into other forms in 10.0 minutes? E = P X

spin [16.1K]

Answer:

2400kJ

Step-by-step explanation:

Step one:

given data

power P= 400W

time = 10minutes

to seconds= 60*10 = 600 seconds

Required

the energy

Step two:

we know that Energy= power * time

E=P*t

E=400*600

E=240000

E=2400kJ

She converts 2400kJ into other forms

5 0

3 years ago

Find the solutions of 6(2-7x)+x(7x-2=0)

azamat

$6(2-7x)+x(7x-2)=0$

Use distributive property: a(b - c) = ab - ac

$(6)(2)-(6)(7x)+(x)(7x)-(x)(2)=0\\\\12-42x+7x^2-2x=0\\\\7x^2-44x+12=0\\\\7x^2-42x-2x+12=0\\\\7x(x-6)-2(x-6)=0\\\\(x-6)(7x-2)=0\iff x-6=0\ \vee\ 7x-2=0\\\\x-6=0\ \ \ |+6\\\\x=6\\\\7x-2=0\ \ \ |+2\\\\7x=2\ \ \ |:7\\\\x=\dfrac{2}{7}$

Answer:\ $x=6\ \vee\ x=\dfrac{2}{7}$

8 0

3 years ago

On a certain hot summer's day, 659 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo

valentinak56 [21]

351 children and 308 adults swam at the public pool.

Step-by-step explanation:

Let,

Children = x

Adults = y

Price per children = $1.75

Price per adult = $2.00

According to given statement;

x+y=659 Eqn 1

1.75x+2y=1230.25 Eqn 2

$Multiplying\ Eqn\ 1\ by\ 2\\2(x+y=659)\\2x+2y=1318 \ \ \ Eqn\ 3\\Subtracting\ Eqn\ 2\ from\ Eqn\ 3\\(2x+2y)-(1.75x+2y)=1318-1230.25\\2x+2y-1.75x-2y=87.75\\0.25x=87.75\\Dividing\ both\ sides\ by\ 0.25\\\frac{0.25x}{0.25}=\frac{87.75}{0.25}\\x=351\\Putting\ value\ of\ x\ in\ Eqn\ 1\\351+y=659\\Subtracting\ 351\ from\ both\ sides\\351-351+y=659-351\\y=308$

351 children and 308 adults swam at the public pool.

Keywords: Linear equations, Division

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Acellus

REY [17]

Answer:

The probability that a randomly selected point within the circle falls in the red shaded area is p=0.75.

Step-by-step explanation:

We have to calculate the probability that a randomly selected point within the circle falls in the red shaded area.

This probability can be calculated as the quotient between the red shaded area, that is a regular pentagon inscribed in the circle, and the area of the circle.

We start by calculating the area of the circle:

$A_c=\pi r^2\approx 3.14(4)^2=3.14\cdot 16=50.24$

Then, we can calculate the area of the pentagon as:

$A_p=\dfrac{1}{2}\cdot (5a)\cdot S=\dfrac{1}{2}\cdot (5\cdot3.2)\cdot 4.7=37.6$

Then, we can calculate the probability p as the quotient between the areas:

$p=\dfrac{A_p}{A_c}=\dfrac{37.6}{50.24}\approx 0.75$

8 0

3 years ago