Help ans pls thx for the ans if anyone helped<br>

In in the previous activity you solved a system of equations representing the carnival admissions using the elimination method i

Mariulka [41]

Answer:

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 $k+a=500$ both variables k has 1 as their coefficient.

Step-by-step explanation:

We need to solve the system of equations using substitution method

The equation are:

$k + a = 500--eq(1)\\3k + 10a = 3,600 --eq(2)$

For substitution method, we find value of k from equation 1 and put in equation 2

$From \ eq(1) \ we \ get\\k=500-a$

Putting it in eq(2)

$3k+10a=3600\\Put \ k=500-a\\3(500-a)+10a=3600\\1500-3a+10a=3600\\7a=3600-1500\\7a=2100\\a=\frac{2100}{7}\\a=300$

So, we get value of a = 300

Now finding value of k by putting value of a in equation $k=500-a$

$k=500-a\\Putting \ a \ =500\\k=500-300\\k=200$

So, we get value of k =200

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 $k+a=500$ both variables k has 1 as their coefficient.

4 0

2 years ago

The coordinates of a particle in the metric xy-plane are differentiable functions of time t with:

frez [133]

Answer:

The rate of change of the distance $\frac{ds}{dt}$ when x = 9 and y = 12 is $-7.6\:\frac{m}{s}$ .

Step-by-step explanation:

This is an example of a related rate problem. A related rate problem is a problem in which we know one of the rates of change at a given instant $\frac{dx}{dt}$ and we want to find the other rate $\frac{dy}{dt}$ at that instant.

We know the rate of change of x-coordinate and y-coordinate:

$\frac{dx}{dt}=-2\:\frac{m}{s} \\\\\frac{dy}{dt}=-8\:\frac{m}{s}$

We want to find the rate of change of the distance $\frac{ds}{dt}$ when x = 9 and y = 12.

The distance of a point (x, y) and the origin is calculated by:

$s=\sqrt{x^2+y^2}$

We need to use the concept of implicit differentiation, we differentiate each side of an equation with two variables by treating one of the variables as a function of the other.

If we apply implicit differentiation in the formula of the distance we get

$s=\sqrt{x^2+y^2}\\\\s^2=x^2+y^2\\\\2s\frac{ds}{dt}= 2x\frac{dx}{dt}+2y\frac{dy}{dt}\\\\\frac{ds}{dt}=\frac{1}{s}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Substituting the values we know into the above formula

$s=\sqrt{9^2+12^2}=15$

$\frac{ds}{dt}=\frac{1}{15}(9(-2)+12(-8))\\\\\frac{ds}{dt}=\frac{1}{15}\left(-18-96\right)\\\\\frac{ds}{dt}=\frac{1}{15}(-114)=-\frac{38}{5}=-7.6\:\frac{m}{s}$

The rate of change of the distance $\frac{ds}{dt}$ when x = 9 and y = 12 is $-7.6\:\frac{m}{s}$

7 0

2 years ago

What is the value of the product (3-2i)(3+2i)?

SCORPION-xisa [38]

Answer:

13

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the total cost of a $32 Uber ride with a 15% tip. Round to the nearest cent when necessary

Marianna [84]

$36.80

Explanation:

Cost of Uber ride = $32

Tip = 15%

$\begin{gathered} \text{Tip Amount = }15\text{ \% }\times\text{ \$32} \\ \text{Tip Amount = 0.15 }\times\text{ \$32} \\ \text{Tip Amount = \$4.8} \end{gathered}$ $\begin{gathered} \text{Total cost = cost of Uber ride + tip amount} \\ \text{Total cost = }32\text{ + \$4.8} \\ \text{Total cost = }36.8 \\ \\ \text{Total cost is \$36.80} \end{gathered}$

7 0

1 year ago

What is the length of AC?

NeX [460]

Answer:

B) 4 miles

Step-by-step explanation:

the big triangle CAB and small triangle CED are simular (given)

this means the ratio between their corresponding sides will be the same.

find corresponding sides with alternate interior angle theorem

m CDE= m CBA

vertical angles theorem

m ACB = m DCE

therefore, AC corresponds to CE

find ratio of sides

7 miles = 36960 feet

36960/ corresponding side 21 ft

36960/ 21= 1780 ft

multiply by 1780 to get from small side to big side

small side CE = 12 ft

12*1780

=21120 ft =AC (in ft)

convert to miles (ft to miles is ft/5280)

21120/5280

=4 miles

hope this helps

3 0

3 years ago

Help ans pls thx for the ans if anyone helped​

Help ans pls thx for the ans if anyone helped