Schools need to pay for bussing students around. They hire a company called School Bus Transport. It costs the school $7 for every student that they bus. Write an algebraic expression to represent this. Evaluate (or solve) the expression to find out how much it would cost to bus 260 students.

Answer:

[tex]Result = 96.24\ km[/tex]

Step-by-step explanation:

Given

92.6 % of 103.93 km

Required

Solve (to 2 decimal places)

To solve this, we simply multiply both 92.6% and 103.93 km together;

[tex]Result = 92.6\% * 103.93\ km[/tex]

Convert percentage to fraction

[tex]Result = \frac{92.6}{100} * 103.93\ km[/tex]

Combine to form a single fraction

[tex]Result = \frac{92.6 * 103.93\ km}{100}[/tex]

[tex]Result = \frac{9623.918\ km}{100}[/tex]

[tex]Result = 96.23918\ km[/tex]

[tex]Result = 96.24\ km[/tex] (Approximated to 2 decimal places)

Answer: 219.52 inch^2

Step-by-step explanation:

Given the dimensions of rectangular papaerboard:

Length = 20inches

Width = 16inches

Area of rectangle = Length × width

Area of rectangle = 20 × 16 = 320 in^2

Area of a circle = pi*r^2

Therefore, area of semicircle = (pi*r^2) / 2

Diameter of circle = width of rectangle = 16 inches

Radius = diameter / 2 = 16 /2 = 8inches

Therefore, area of semicircle = (pi*8^2) / 2

= (3.14 × 64) / 2

= 200.96 / 2

= 100.48 inch^2

Therefore, area of paperboard left :

Area of rectangle - area of semicircle

320 - 100.48

= 219.52 inch^2

6.

[tex]y^2\sqrt[8]{8}[/tex]

Step-by-step explanation:

[tex]\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}[/tex]

Since there are eight y's in two groups we can take them out which turns into

[tex]y^2\sqrt[8]{8}[/tex]

:)

3.

Problem 3:

We are given the following complex number and I'm assuming we want to simplify it:

[tex]\dfrac{5+i}{6+i}[/tex]

Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):

[tex]=\dfrac{(5\times6+1)+(6-5)i}{6^2+1^2}[/tex]

[tex]=\dfrac{31+i}{37}[/tex]

Simplifying gives us:

[tex]=\dfrac{31}{37}+\dfrac{1}{37}i[/tex]

Problem 6:

You seem to have done this problem correctly

[tex]\sqrt[8]{8y^{16}}[/tex]

Expanding gives us:

[tex]=\sqrt[8]{y^{16}}\times\sqrt[8]{8}[/tex]

[tex]=y^2\sqrt[8]{8}[/tex]

This can't be simplified further as the 8th root of 8 gives us an irrational number

Let me know if you need any clarifications or extra help, thanks!

Answer:

-8y +7x

Step-by-step explanation:

(–3y – x) – (5y – 8x)Distribute

-3y -x -5y +8x

Combine like terms

-3y-5y -x+8x

-8y +7x

Answer:

What are the other tables/answer choices?

Step-by-step explanation:

Answer:

(x-4)²+4

Step-by-step explanation:

Answer:

[tex](x-4)^2+4[/tex]

Step-by-step explanation:

[tex]x^2 - 8x + 20\\**********************************\\\frac{8}{2} =( 4 )^2 = 16 \\\\20 - 16 = 4\\**********************************\\x^2 - 8x + 16 + 4\\(x-4)^2+4[/tex]

Answer:

m=4

Step-by-step explanation:

-5m=-20

m= - 20/-5

m=4

Answer:

M=4

Step-by-step explanation:

This question was on my online school assignment. I can go back on my assignments and review and I had got it right.

Answer: [tex]10\frac{2}{3}\pi[/tex]

Step-by-step explanation:

Do you really need it? If so, reply, if not, mark brainliest.

Answer:

$180

Step-by-step explanation:

100%=x

35%=$63

63 x 100=6300/35=$180

Answer:

96.92

Step-by-step explanation:

If the backpack was 35% off  you will  still pay 100 -35 or 65%

Let x be the original price

x * 65% = 63

Change to decimal form

x * .65 = 63

Divide each side by .64

x*.65/.65 = 63/.65

x =96.92

Answer:

x intercept is when y = 0, so when y is 0, x should be -9 or 8, so 4. is the only that satisfies it, therefore (-9,0)

Step-by-step explanation:

Follow me at "btracta"  on insta and we can talk

What's your instagram then?

Yes 80 followers following 10 is me

Answer:

[tex](A) 3\dfrac78+\left(-6\dfrac14\right)[/tex]

Step-by-step explanation:

Given the expression:[tex]3\dfrac78 - 6\dfrac14[/tex]

The given options are:

[tex](A)3\dfrac78+\left(-6\dfrac14\right)=3\dfrac78-6\dfrac14\\\\(B)-6\dfrac14+\left(-3\dfrac78\right)=-6\dfrac14-3\dfrac78\\\\(C)6\dfrac14-\left(3\dfrac78\right)=6\dfrac14-3\dfrac78\\\\(D)3\dfrac78+\left(6\dfrac14\right)=3\dfrac78+6\dfrac14[/tex]

We can see therefore that Option A is equivalent to the given expression.

Answer:

-25/-33

Step-by-step explanation:

-5/3x5/-11=

Answer:

Let

x-------> the width of the patio

we understand that

region of the pool=40*60-----> 2400 ft²

vicinity of the patio=[(40+2x)*(60+2x)]-2400

place of the patio=2400 ft²

so

[(40+2x)*(60+2x)]-2400=2400

2400+80x+120x+4x²-4800=0

4x²+200x-2400=0------> divide by 4 both sides----> x²+50x-600=0

therefore

the answer is

x²+50x-600=0

Answer:

y = -20x + 100

Step-by-step explanation:

As per your requirement For Part B, the solution is

The equation in slope-intercept form to model the relations is below:-

To reach 2 points on the graph the line passes through

lets use p1(0, 100), p2(1, 80)

now we will compute the slope:

[tex]m = \frac{(y2 - y1)}{(x2 - x1)}[/tex]

[tex]m = \frac{(80 - 100)}{(1 - 0)}[/tex]

= -20

and now use line equation in form point-slope:

y - y1 = m(x - x1)

y - 100 = -20(x - 0)

y = -20x + 100

Answer:

Part A: 

initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week (100-80 and so on)

Part B: 

ANSWER: y = -20x + 100

y = mx + b, where m is the slope and b is the y-intercept (or initial value).

Answer:

The answer is D

Step-by-step explanation:

You have to multiply each amount given by 200 and then add the two

200 x $10 = $2,000

200 x $15 = $3,000

$2,000 + $3,000= $5,000

Answer:

We have 13 different beads to use in our necklace, and the thing that will make a necklace different to others, is the position of the beads.

And because we can not turn the necklaces over, the mirrored necklaces are different (the positions of the beads are mirrored)

For the first bead, we have 13 options, for the second, 12 options, and so on

the total number of combinations is equal to the product of the options for each selection, then we have:

C = 13*12*11*10*9*8*7*6*5*4*3*2*1 combinations:

C = 6,227,020,800.

Now, we are allowed to rotate the necklace, this means that a combination.

a b c d e f g h i j k l m (each letter is equivalent to one of the different beads)

is the same as other ordered as

m a b c d e f g h i j k l

And for each combination, we have 13 rotations, then the actual number of combinations is:

C/13 = 6,227,020,800/13 = 479,001,600

Using arrangements, it is found that 6,227,020,800 different necklaces can be made using 13 different beads.

The beads can be exchanged among the positions to form the necklace, hence, the arrangements formula is used.

This formula gives the number of possible arrangements of n elements, and is defined by:

[tex]A_n = n![/tex]

In this problem, the necklaces are formed by 13 beads, hence [tex]n = 13[/tex] and:

[tex]A_{13} = 13! = 6227020800[/tex]

6,227,020,800 different necklaces can be made using 13 different beads.

A similar problem is given at https://brainly.com/question/24648661

Answer:

16

Step-by-step explanation:

10/a = 15/24

Cross multiply.

15 × a = 10 × 24

15a = 240

Divide both sides with 15.

a = 240/15

a = 16

Answer:

a = 16

Step-by-step explanation:

=> [tex]\frac{10}{a} = \frac{15}{24}[/tex]

Cross Multiplying

=> 10 * 24 = a * 15

=> 15a = 240

Dividing both sides by 15

=> a = 16

Answer:

-8

Step-by-step explanation:

(-2)2+9(-2)+14

-4+-18+14

-22+14

=-8

Hope this helps

Answer:

0

Step-by-step explanation:

f(x) = x^2 + 9x + 14, when x = -2.

f(x)=(x+7)(x+2)

f(x)=(-2+7)(-2+2)=0

Answer:

y = ∛(x+3) + 3

Step-by-step explanation:

I plugged each equation into a graphing calculator.

Answer: A, D, F

Step-by-step explanation: Binomials are the sums of two terms (the sum two monomials). Therefore those with two terms being added are considered binomials.

Answer:

The account balance after 24 months will be $23,092.70

Step-by-step explanation:

Given data

P= $20,000

r= 7.77%= 0.077

t= 2 years

A= ?

n= 24

The compound interest formula is

[tex]A= P(1+t)^t[/tex]

Inserting our values to solve for A we have

[tex]A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70[/tex]

Hey there! I'm happy to help!

We see that Steve runs 2.5 miles per day and Sam runs 6.5 miles per day. If you add these together, we see that they run 9 miles every day.

We now need to see how many of these 9 mile days fit into this 450 miles. Let's divide 450 by 9 and we will see how many days it will take for them to reach 450 miles combined.

450÷9=50

Therefore, it will take Steve and Sam 50 days to reach 450 miles combined!

Have a wonderful day! :D

The number 3.14159265 produces an irrational number when added to 1/2.

The sum of any rational number and any irrational number will be always an irrational number.

An irrational number is a type of real number which cannot be represented as a simple fraction.

A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.

According to the given question

We have a rational number 1/2.

Since, 0.373737373.... is a rational number because it is recurring and its behavior it known that 37 is repeating.

And we know that when any rational number is added with a rational number it with number we will get always a rational number.

⇒ 0.3737373737... + [tex]\frac{1}{2}[/tex] = rational number.

3.14159265... is an irrational number because its behavior is not known and it is not terminating.

So, when we add 1/2 to 3.14159265.. we get a irrational number.

√16 = 4 is a rational number. And it can be written as [tex]\frac{4}{1}[/tex].

So, [tex]\frac{4}{1} + \frac{1}{2} = \frac{9}{2}[/tex] which is a rational number.

-4/7 is a rational number. And when we add 1/2 to -4/7 we get a rational number.

i.e. [tex]\frac{-4}{7} + \frac{1}{2} = \frac{-1}{14}[/tex] which is rational number.

Hence, the number 3.14159265 produces an irrational number when added to 1/2.

Learn more about rational and irrational number here:

https://brainly.com/question/17005818

#SPJ2

Answer:

Maximum Congestion: 24

Maximum Time to reach Congestion: 3

Step-by-step explanation:

Easiest and fastest way is to graph the equation and analyze the graph for it's maximum vertex.

Answer:

30-60-90 triangles have one short side, one long side, and a hypotenuse.

The ratio between the sides (from short to hypotenuse to long) is 1 : 2 : sqrt(3).

Hope this helps!

Answer:

  34 square units

Step-by-step explanation:

The figure can be considered to be a trapezoid with a rectangle removed.

The area of the trapezoid is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(10 +6)(5) = 40

The area of the rectangle is ...

  A = LW

  A = (3)(2) = 6

Then the area of the shaded portion of the figure is ...

  shaded area = trapezoid area - rectangle area

  = 40 - 6 = 34 . . . square units

Answer:

(3,5) (-2,-14)

Step-by-step explanation:

Just plug in values (x,y) in inequality

Answer:

f(10)=34

Step-by-step explanation:

This is an arithmetic sequence of common difference "d = 4" (the number added to a term in order to get the next term), and first term 2,

Then we use the formula to find the nth term of an arithmetic sequence with is:

[tex]f(n)=f(1) +\,(n-1)\,d[/tex]

In our case this formula for the term number 10 becomes:

[tex]f(n)=f(1) +\,(n-1)\,d\\f(10)=f(1)+(10-1)\,4\\f(10=2+9*4\\f(10)=2+32\\f(10)=34[/tex]

Answer:  Just took it!!!

f(10)=38

Step-by-step explanation:

f(1)=2

f(n+1)=f(n)+4

f(2)=6

f(3)=10

f(4)=14

f(5)=18

f(6)=22

f(7)=26

f(8)=30

f(9)=34

f(10)=38

Answer:

the number could be odd.

Answer:

the number could be odd

Step-by-step explanation:

Answer:

Here is your answer!!!

Step-by-step explanation:

a=3,b=-4,c=-1

Discriminate (D)= b^2-4ac

D= (-4)^2-4(3)(-1)

D=16-(12)

D=16-12=4

x=-b±√b^2-4ac/2a

x=-(-4)±√4/2(3)

x=4±2/6

x=4+2/6=1

x=4-2/6=1/3

x=1,1/3

Answer:

12/18 bcz simplyfing 12/18 will give us 2/3

6/9 (divided by 2)

2/3 (divided by 3)

Step-by-step explanation: