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2 years ago

Suppose you drive four miles South and then ten miles East. How far away are you from your starting point?

Mathematics

1 answer:

Aleks04 [339]2 years ago

3 0

Answer:

73920 feet away from your starting point in total.

Convert the miles to feet, then add them together.

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During a concert, $3280 was received. A total of 760 people attended. Reserved seats were $6 and general admission seats were $4

Andre45 [30]

Answer:

The number of reserved seat is 120 and number of general seat is 640.

Step-by-step explanation:

Given,

Total number of seats = 760

Total collected Money = $3280

Solution,

Let the total number of reserved seat be x.

And the total number of general seat be y

Hence total number of seats is the sum of total number of reserved seat and the total number of general seats.

So the equation can be written as;

$x+y=760\ \ \ \ equation\ 1$

Again, total money collected is the sum of fees of one reserved seat times total number of reserved seat and fees of one general seat times the total number of general seats.

So the equation can be written as;

$6x+4y=3280\ \ \ \ \ equation\ 2$

Now, multiplying equation 1 by 4 and then subtract it from equation 2.

$4x+4y=3040$

$(6x+4y)-(4x+4y)=3280-3040\\\\2x=240\\\\x=\frac{240}{2}=120$

On substituting the value of x in equation 1, we get;

$x+y=760\\120+y=760\\y=760-120=640$

Thus the number of reserved seat is 120 and number of general seat is 640.

8 0

3 years ago

-<br><img src="https://tex.z-dn.net/?f=4%20%5Ctimes%205" id="TexFormula1" title="4 \times 5" alt="4 \times 5" align="absmiddle"

Rudik [331]

20 is the answer to the question

4 0

3 years ago

Read 2 more answers

Valuate the line integral, where c is the given curve. ∫c zdx + xdy + ydz

Semenov [28]

$\displaystyle\int_{\mathcal C}z\,\mathrm dx+x\,\mathrm dy+y\,\mathrm dz=\int_{\mathcal C}\langle z,x,y\rangle\cdot\mathrm d\langle x,y,z\rangle$
$\displaystyle=\int_{t=0}^{t=1}\langle t^2,t^2,t^3\rangle\cdot\mathrm d\langle t^2,t^3,t^2\rangle$
$=\displaystyle\int_0^1\langle t^2,t^2,t^3\rangle\cdot\langle2t,3t^2,2t\rangle\,\mathrm dt$
$=\displaystyle\int_0^15t^4+2t^3\,\mathrm dt=\frac32$

3 0

3 years ago

You are asked to choose a vowel (a, e, i, o, u) from a list, and then to choose either the number 6 or 7. How many possible outc

faltersainse [42]

Answer:

10 possible outcomes

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}

Step-by-step explanation:

As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are

= 5x2 = 10

Each vowel can be chosen with 6 or with 7

Let S be the sample space

a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number

S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..

4 0

3 years ago

PLEASE HELPPPPPP<br>what is a semicirles permitier if the diameter is 4

trapecia [35]

The straight edge of the semicircle is 4 units, as this is this the diameter.

The circumference of the full circle is

C = pi*d = pi*4 = 4pi

which is the distance around the full circle (aka circle's perimeter)

So half of this is 4pi/2 = 2pi

Add this onto the straight edge length to get 4+2pi as the exact distance around the entire semicircle. This includes both straight and curved portions.

If you use the approximation pi = 3.14, then 4+2*pi = 4+2*3.14 = 10.28 is the approximate answer. To get a more accurate answer, use more decimal digits in pi.

---------------------------------------------------------

In summary,

exact answer in terms of pi is 4+2pi units

approximate answer is roughly 10.28 units (using pi = 3.14)

6 0

3 years ago

Suppose you drive four miles South and then ten miles East. How far away are you from your starting point?​

Suppose you drive four miles South and then ten miles East. How far away are you from your starting point?