What is the equal number 5 tens and 13 ones

The student government association at a certain college assigns a number to each student enrolled, puts the numbers in order, an

snow_tiger [21]

Answer: Systematic

Step-by-step explanation:

3 0

3 years ago

Simplify. 18x + 3xy + 5y −2(6xy − 2y + 4) A) 18x − 9xy + 9y − 8 B) 18x + 9xy + 9y − 8 C) 18x + 9xy − 9y + 8 D) 18x − 9xy + y − 8

Karolina [17]

18x+3xy+5y-2(6xy-2y+4)

18x+3xy+5y-12xy+4y-8

18x-9xy+9y-8

The answer is D

8 0

3 years ago

Read 2 more answers

A rectangular area is to be enclosed by a wall on one side and fencing on the other three sides. If 18 meters of fencing are use

Rashid [163]

Answer:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

Step-by-step explanation:

For this case we assume that the total perimeter is 18 ft, we have a wall and the two sides perpendicular to the wall measure x units each one so then the side above measure P-2x= 18-2x.

And we are interested about the maximum area.

For this case since we have a recatangular area we know that the area is given by:

$A= LW$

Where L is the length and W the width, if we replace from the values on the figure we got:

$A(x)= x *(18-2x) = 18x -2x^2$

And as we can see we have a quadratic function for the area, in order to maximize this function we can use derivates.

If we find the first derivate respect to x we got:

$\frac{dA}{dx} = 18-4x=0$

We set this equal to 0 in order to find the critical points and for this case we got:

$18-4x=0$

And if we solve for x we got:

$x=\frac{18}{4}=\frac{9}{2} m$

We can calculate the second derivate for A(x) and we got:

$\frac{d^2 A}{dx^2}= -4$

And since the second derivate is negative then the value for x would represent a maximum.

Then since we have the value for x we can solve for the other side like this:

$L= 18-2x = 18-2 \frac{9}{2}= 18-9 =9m$

And then since we have the two values we can find the maximum area like this:

$A = L W= 9*\frac{9}{2}=\frac{81}{2} m^2$

8 0

3 years ago

A race car is driven around a circular track at a constant speed of 180 miles per hour. If the diameter of the track is 1/2 mile

velikii [3]

F the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!

the angular speed is theta/time, which means

w=theta/time

but another formula for it is Velocity*radians

w=velocity*radians

velocity is 180 mph and radians are (revolution/2 radius), that is:

w=180*(1/2*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!

8 0

3 years ago

Could some please help and explain?

Sophie [7]

Answer:

x = 7

Step-by-step explanation:

A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that

7x+8 = 9x - 6

subtract 7x from both sides to put the variable on one side

2x - 6 = 8

add 6 to both sides to isolate the variable and its coefficient

2x = 14

divide both sides by 2 to isolate x

x = 7

7 0

2 years ago