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1 year ago

Tito drives his car and covered a distance of 225 kilometers in 7.5 hours. What is the average in kilometers per hour?

Mathematics

2 answers:

Eva8 [605]1 year ago

6 0

Step-by-step explanation:

I hope u are asking for average speed

average speed = total distance/total time

= 225/7.5

= 30 km/h or 30 km per hour

Sonbull [250]1 year ago

6 0

Answer:

As Per Provided Information

Distance covered by his car 225 Km
Time taken by his car 7.5 hours

We have to determine the average speed of his car in kilometres per hour .

Using Formulae

$\boxed {\bf \: Average\: Speed \: = \cfrac{Total \: Distance \: Covered}{ Total \: Time \: Taken }}$

On substituting the value we get

$\sf \qquad \: \longrightarrow\: Average\: Speed \: = \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = \cancel \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = 30km {h}^{ - 1}$

Therefore,

Average speed of his car is 30 km/h .

So your answer is A) 30 kph .

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At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount. E

spayn [35]

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.

Let x be the amount of one of Derek's withdrawals

Each of John's withdrawals was $5 more than each withdrawal that Derek made.

x + 5 is t the amount of one of John's withdrawals

Derek made 7 withdrawals

So amount withdraw 7 times = 7x

John made 5 withdrawals

So amount withdraw 5 times = 5(x+5)

Both Derek and John withdrew the same amount of money in the end

(A) 7x = 5(x+5)

(B) Solve for x

7x = 5x + 25

Subtract 5x from both sides

2x = 25

Divide by 2

x = 12.5

we plug in 12.5 for x in 7x= 5x + 25

7(12.5) = 5(12.5) + 25

87.5 = 62.5+ 25

87.5 = 87.5

(D) Each brother withdrawal 87.5 dollars

6 0

2 years ago

A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position

Umnica [9.8K]

Answer:

height = 20.5068 m

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5 { since the wheel starts at 6 o clock }

midline C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( 4.71238898) + 20.5

height = -17.5 × cos( 4.712) + 20.5

height = -17.5 × -0.00038898 + 20.5

height = 0.0068 + 20.5

height = 20.5068 m

8 0

2 years ago

PLEASE HELP

kifflom [539]

$\\ \sf\longmapsto \dfrac{x^2-1}{x^2+5x+4}\leqslant 0$

Solving denominator

$\\ \sf\longmapsto x^2+5x+4>0$

$\\ \sf\longmapsto x^2+4x+x+4>0$

$\\ \sf\longmapsto x(x+4)+1(x+4)>0$

$\\ \sf\longmapsto (x+4)(x+1)>0$

$\\ \sf\longmapsto x>-4\:or x>-1$

Hence x $\neq$ -1
x can't be 0 as it makes function undefined

$\\ \sf\longmapsto -4$

5 0

2 years ago

How do I solve this using the system of equations?

Westkost [7]

Answer:

length: 16 m; width: 13 m

Step-by-step explanation:

Write each of the statements as an equation. You know that the formula for the perimeter is ...

P = 2(L +W)

so one of your equations is this one with the value of P filled in:

• 2L + 2W = 58

The other equation expresses the relation between L and W:

• L = W +3 . . . . . . . . the length is 3 meters greater than the width

There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...

2(W+3) +2W = 58

4W +6 = 58 . . . . . . . simplify

4W = 52 . . . . . . . . . . subtract 6

W = 13 . . . . . . . . . . . .divide by 4

We can use the expression for L to find its value:

L = 13 +3 = 16

The length is 16 meters; the width is 13 meters.

6 0

2 years ago

1. the sum of two rational numbers is always always a (irrational number / rational number)

Blizzard [7]

One

The sum of two rational numbers is always rational. sqrt(9) + sqrt(25) = 3 + 5 which is rational. sqrt(16/100) = 4/10 = 2/5 is also rational. 3/28 is rational as well.

Two

Those are irrational. sqrt(10) + pi = ???? You cannot reduce this to any kind of fraction. Two irrationals always give a rational.

Three

The irrational number controls the answer. 10 + sqrt(5) is irrational. The 10 is OK. It is raional, but sqrt(5) is not a rational number.

8 0

2 years ago