For a certain company, the cost for producing x items is 55x+300 and the revenue for selling x items is 95x−0.5x2.
Part A. Set up the expression
Part B. Find the values of x that create a profit of $300
Part C. Is it possible to profit $15,000

Answer: Yes, we can add them as they are like terms

               The answer we get after adding is 9xy

Step-by-step explanation:

Even though 'xy' and 'yx' seem to be different, we must remember that multiplication is commutative and hence 'xy' and 'yx' are the same

The answer we get after adding is 9xy

Answer:

Yes, and you get 9xy

Step-by-step explanation:

4yx = 4xy

Yes, you can add them.

5xy + 4xy = 9xy

Answer:

5 5/6

Step-by-step explanation:

7 x 5 = 35

35/6 = 5 5/6

Answer:

5 5/6

Step-by-step explanation:

7 * 5/6

7/1 * 5/6

Multiply the numerators

7*5 = 35

Multiply the denominators

1*6 = 6

Numerator over denominator

35/6

Change to a mixed number

6 goes into 35   5 times with 5 left over

5 5/6

Answer:

13

Step-by-step explanation:

the formula for distance is √(X2-X1)^2 + (y2-y1)^2

=√(5-0)^2 + (12-0)^2

=√5^2 + 12^2

=√25+144

=√169

=13

Answer:

the addition of "1" to the quantity under the radical sign.

Step-by-step explanation:

Using a regression equation :

The confidence interval is obtained using the relation :

yhat ± t(α/2) * s√(1/n + (Xp - xbar)²/SSx)

yhat = Predicted value

s = estimated standard deviation of yhat

x = Xp

The prediction interval is obtained using the relation :

yhat ± t(α/2) * s√(1 + 1/n + (Xp - xbar)²/SSx)

Hence, from the formula stated abibeb, we can see that, the only difference is the 1 added to the prediction interval formula.

Answer:

13/16 miles per minute

Step-by-step explanation:

Take the miles and divide by the minutes

1/8 ÷ 2/13

Copy dot flip

1/8 * 13/2

13/16 miles per minute

Answer:

false

Step-by-step explanation:

a whole number is a number that doesnt contain a fraction or negative value

9514 1404 393

Answer:

Step-by-step explanation:

If we let a, b, c represent tickets booked on airlines A, B, C, respectively, then we have ...

  a + b + c = 55

  a - b = 6

  -2b + c = 5

Using the last two equations to write expressions for a and c, we have ...

  a = b +6

  c = 5 +2b

These can be substituted into the first equation to give ...

  (b +6) +b +(5 +2b) = 55

  4b +11 = 55

  4b = 44

  b = 11

  a = b+6 = 17

  c = 5 +2b = 27

He booked 17 tickets on Airline A, 11 tickets on Airline B, and 27 tickets on Airline C.

Answer:

998.

Step-by-step explanation:

Just get rid of the negative sign

Answer:

This should 998 I guess

Step-by-step explanation:

Minus the negative signs

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for [tex]3x^{2}+3y^{2} = 102[/tex]. Now we can divide both sides by 3, getting[tex]x^2+y^2=34[/tex]. we subtract the first equation from our equation we just got, getting [tex]y^2=25[/tex] y= (5,-5). once we plug that in, we get [tex]50+x^2 = 59[/tex], [tex]x^2 = 9[/tex] x = (-3,3)

9514 1404 393

Answer:

  B. 73.5 in²

Step-by-step explanation:

The triangle area is half the rectangle area, so the shaded area is also half the rectangle area:

  A = 1/2LW = 1/2(21 in)(7 in) = 73.5 in²

Answer:

B.) 73.5 in2

Step-by-step explanation:

I got it correct on founders edtell

Answer:

The average speed was of 2 miles per hour.

Step-by-step explanation:

Average speed:

Average speed is distance divided by time.

Distance:

Solved by proportions, using rule of three.

1800 steps - x miles

10,000 steps - 5 miles

[tex]10000x = 5(1800)[/tex]

[tex]x = \frac{9000}{10000}[/tex]

[tex]x = 0.9[/tex]

Distance of 0.9 miles.

Using a time of 27 minutes to complete the event, calculate your average speed.

Distance of 0.9 miles in 27/60 of an hour. So

[tex]d = \frac{0.9}{\frac{27}{60}} = \frac{60(0.9)}{27} = 2[/tex]

The average speed was of 2 miles per hour.

Answer:

$4543.70

General Formulas and Concepts:

Pre-Algebra

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

P = 3500

t = 6

r = 4.97% = 0.0497

Step 2: Find Interest

Answer: [tex]17.5t[/tex]

Step-by-step explanation:

Given

Speed of boat A is [tex]v_a=9\ mi/hr[/tex]

Speed of boat B is [tex]v_b=15\ mi/hr[/tex]

Both are moving perpendicular to each other

Distance traveled by Boat A [tex]x_a=9t[/tex]

Distance traveled by Boat B [tex]x_b=15t[/tex]

Distance between them is given by Pythagoras theorem

[tex]\Rightarrow d^2=(x_a)^2+(x_b)^2\\\\\Rightarrow d^2=(9t)^2+(15t)^2\\\\\Rightarrow d=\sqrt{(9t)^2+(15t)^2}\\\\\Rightarrow d=\sqrt{81t^2+225t^2}\\\\\Rightarrow d=\sqrt{306t^2}\\\\\Rightarrow d=17.49t\approx 17.5t\ \text{miles}[/tex]

Distance between them is [tex]17.5t[/tex]

Answer:

2

Step-by-step explanation:

Answer:

$0.85

Step-by-step explanation:

$4.25 divided by 5 pounds equals $0.85 per pound.

Answer:

$0.85

Step-by-step explanation:

Find the unit rate.

4.25/5=x/1

Solve for x. X= 4.25/5=0.85

So 1 lb of tangerines costs $0.85.

Answer:

There is not enough information to determine the mean, the median is 28.

There is not enough information to determine the mean absolute deviation, the interquartile range is 18

Step-by-step explanation:

The box plot given has a skewed distribution, this means that both the mean and median values are not the same. From a box plot, the median value Can be obtained as the point in between the box.

From the box plot given, the marked point in between the box is 28 cm

Hence, Median = 28 cm

The mean cannot be inferred from the skewed box plot.

There is also not enough information to determine the mean absolute deviation ;

The interquartile range:

(Q3 - Q1)

Q3 = upper quartile, the endpoint of the box = 40

Q1 = the starting point of the box = 22

IQR = Q3 - Q1

IQR = 40 - 22 = 18

Answer:

1320 ways

Step-by-step explanation:

Number of contestants = 12

Positions that are n be awarded = First, Second, Third

Number of contestants who could be first = 12 (all 12 contestants)

Number of contestants who could be second = 11 (all 12 contestants - first)

Number of contestants who could be third = 10 (all 12 contestants - first and second )

The number of ways prices can be given :

(1st * 2nd * 3rd) = 12 * 11 * 10 = 1320 ways

Answer:

17

26

35

44

53

62

71

80

Step-by-step explanation:

Let's solve the problem step by step.

Let's assume the two-digit number is represented as "AB," where A represents the tens digit and B represents the units digit. According to the problem, the difference between the number "AB" and the number "BA" is 54.

So, we have the equation:

(10A + B) - (10B + A) = 54

Simplifying the equation, we get:

9A - 9B = 54

Dividing both sides of the equation by 9, we have:

A - B = 6

Now, we need to find two-digit numbers where the difference between the tens digit and the units digit is 6. The possible combinations are:

(1, 7)

(2, 8)

(3, 9)

(4, 10) - But 10 is not a valid unit digit since it exceeds the range of a two-digit number.

So, the valid two-digit numbers that satisfy the given condition are:

17

26

35

44

53

62

71

80

Therefore, there are 8 two-digit numbers that have a difference of 54 when subtracted from the number formed by reversing their digits.

Answer:

Step-by-step explanation:

x(x+2) = 143

:::::

x² + 2x - 143 = 0

x = [-2 ±√(2²-4(1)(-143))]/[2(1)] = 11, -13

:::::

11 and 13

:::::

-13, -11

Answer:

look at diagram above. Use y=mx+c

Answer:

The value of x is [tex]\frac{7\sqrt{6}}{2}[/tex]

Solution given:

AB=7

BD=x

<BAC=60°

<DBC=45°

In right angled triangle ABC

Tan 60°=opposite/adjacent

Tan 60°=BC/AB

Substitute value

[tex]\sqrt{3}[/tex]=[tex]\frac{BC}{7}[/tex]

BC=[tex]7\sqrt{3}[/tex]

again

In right angled triangle BCD

Using Cos angle

Cos 45=adjacent/hypotenuse

Cos45°=BD/BC

Substituting value

[tex]\frac{\sqrt{2}}{2}=\frac{x}{7\sqrt{3}}[/tex]

Doing criss cross multiplication

[tex]\frac{\sqrt{2}}{2}*7\sqrt{3}=x[/tex]

x=[tex]\frac{7\sqrt{6}}{2}[/tex]

Answer:

$1487.50

Step-by-step explanation:

9514 1404 393

Answer:

  $1487.50

Step-by-step explanation:

The amount of interest due is ...

  I = Prt

where P is the loan amount, r is the annual rate, and t is the number of years. Here, t = 6 months = 1/2 year, so the interest due is ...

  I = $1400×0.125×1/2 = $87.50

The total amount due is the sum of the loan amount and the interest:

  due = $1400 +87.50 = $1487.50

The total amount due after 60 months is $1487.50.

the value of Zis 8.

Z =2^3=8

Now we have to,

find the required value of Z.

→ Z = 2^3

→ [Z = 8]

Therefore, value of Z is 8.

Answer:

he didnt build the field

Step-by-step explanation:

f

Answer:

x=10

Step-by-step explanation:

Using the Rational Roots Test, we can say that the potential rational roots are

± (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90).

Unfortunately, there doesn't really seem to be an easy way to figure out which numbers are actually roots outside of guess and check. Therefore, to solve this, we'll have to go through numbers until we hit something.

To make the process faster, I wrote a Python script as follows:

numbers = [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]

negative_numbers = [i * (-1) for i in numbers]

numbers = numbers + negative_numbers

for i in numbers:

   if (i**3 - 10*(i**2) + 9*i-90) == 0:

       print(i)

The result comes out as 10, meaning that 10 is our only rational root. Using the Factor Theorem, we can say that because 10 is a root, (x-10) is a factor of the polynomial. Using synthetic division, we can divide (x-10) from the polynomial to get

10 |   1     -10     9      -90

    |          10     0       90

    _________________

        1       0     9        0

Therefore, we can say that

(x³-10x²+9x-90)/(x-10) = (x²+0x+9), so

x³-10x²+9x-90 = (x-10)(x²+9)

As the only solution to x²+9=0 contains imaginary numbers, x=10 is the only solution to x³-10x²+9x-90 = (x-10)(x²+9) = 0

Answer:

[tex]-\frac{10}{3}<x<2\:[/tex]

Step-by-step explanation:

Rewrite in standard form: [tex]3x^2+4x-20<0[/tex]

Factor: [tex]\left(x-2\right)\left(3x+10\right)<0[/tex]

Solve individually for x:

[tex]x-2<0\\x<2[/tex]

[tex]3x+10<0\\3x<-10\\x<\frac{-10}{3}[/tex]

Combine:

[tex]-\frac{10}{3}<x<2\:[/tex]