Karana's mom bought her two items using a credit card. The first item cost $254, and the second item costs $388. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?

Answer:

Conner should get 2 $ back

Step-by-step explanation:

conner should get 2$ back

a) x(x+12) + 27
b) m(2n-3k) - 2p(3k + 2n)

Answer:

Slope = rise/run

= 1/4

Y-intercept = 0

Equation of the line:

y = 1/4x

Answer:-0.125 or 1/8

Step-by-step explanation: :)

Answer:

-1/8

Step-by-step explanation:

1/2 times -1/4 = -1/8

Answer:

-375.5<1200

True

Step-by-step explanation:

100-475.5 = -375.5

Brainliest please!!

Four squares with size of 6 centimeters should be cut to produce the container of greatest capacity.

a) The volume of the box ([tex]V[/tex]), in cubic centimeters, is equal to the area of the base ([tex]A[/tex]), in square centimeters, multiplied by the height of the box ([tex]h[/tex]), in centimeters. The area of the surface is the product of the width ([tex]w[/tex]) and length (l), both in centimeters:

[tex]V = w\cdot l\cdot h[/tex]  

[tex]V = (36-2\cdot x)^{2}\cdot x[/tex]   (1)

The volume of the container is [tex]V = (36-2\cdot x)\cdot x[/tex] cubic centimeters. [tex]\blacksquare[/tex]

b) We need to apply first derivative analysis and second derivative analysis to determine the dimensions of the maximum squares to be cut:

[tex]-4\cdot (36-2\cdot x)\cdot x+(36-2\cdot x)^{2} = 0[/tex]

[tex]-4\cdot x + 36-2\cdot x = 0[/tex]

[tex]6\cdot x = 36[/tex]

[tex]x = 6[/tex]

[tex]V'' (x) = -4\cdot [(-2)\cdot x+(36-2\cdot x)]-4\cdot (36-2\cdot x)\cdot x + (36-2\cdot x)^{2}[/tex]

[tex]V''(x) = 8\cdot x-4\cdot (36-2\cdot x)-4\cdot (36\cdot x-2\cdot x^{2})+(36-2\cdot x)^{2}[/tex]

[tex]V'' (6) = -48[/tex]

Since [tex]V''(6) < 0[/tex], the critical value of [tex]x[/tex] leads to a maximum.

Four squares with size of 6 centimeters should be cut to produce the container of greatest capacity. [tex]\blacksquare[/tex]

To learn more on optimization, we kindly invite to check this verified question: https://brainly.com/question/5425085

Answer: y = 10

Step-by-step explanation: Hi there!

To get started, first, we have to subtract 2y from 9y on the left side.

7y + 8 = 4y + 38

Then subtract 4y on both sides.

3y + 8 = 38

Then subtract 8 on both sides

3y = 30

Finally divide by 3 on both sides.

y = 10

The answer is y = 10.

Answer: y=10

Step-by-step explanation:

9y-2y+8=4y+38

[tex]\mathrm{Add\:similar\:elements:}\:9y-2y=7y[/tex]

7y+8=4y+38

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

7y+8-8=4y+38-8

[tex]\mathrm{Simplify}[/tex]

7y=4y+30

[tex]\mathrm{Subtract\:}4y\mathrm{\:from\:both\:sides}[/tex]

7y-4y=4y+30-4y

[tex]\mathrm{Simplify}[/tex]

3y=30

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3y}{3}=\frac{30}{3}[/tex]

Simplify

y=10

Answer:

I got you :)

Step-by-step explanation:

All angles of a triangle add up to 180 degrees so you can make the equation

3x-2+4x+9+3x-9=180  this equation will help you find x

I used the equation to find out that x=18.2 (i can explain this part further if you would like)

so now you know x=18.2 and all you have to do is plug in

m<H = 3 x 18.2 - 2 = 52.6

m<I =  4 x 18.2 + 9 = 81.8

M<J = 3 x 18.2 - 9 = 45.6

Hope this helps!  :)

Also to check work you can do 52.6+81.8+45.6= 180 :) you know its right because it equals 180 degrees at the end  

Answer:

1.9 years

Step-by-step explanation:

There are 365 days in a year

694.44 / 365 = 1.9

Hope this helps!

Answer:  1.9013

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

180-48= 132

Its this bc a straight line is 180 degrees and if you know 48 then its 132+48 which gets 180

Answer:

Step-by-step explanation:

Answer:

Hope this helps any!

Step-by-step explanation:

Answer:

  (c)  $31.75

Step-by-step explanation:

First of all, you need to use some number sense to estimate an answer.

If the $900 loan had no interest, 1/3 of it would be paid off in each of the 3 years, or about $300 each year. You will be making 12 monthly payments each year, so the amount of principal being paid with each payment is $300/12 = $25. Any answer much above this amount will not make sense, so you can immediately reject all choices except $31.75.

__

The simple interest on the loan is ...

  I = Prt = $900×0.09×3 = $243

That, too, is divided among the 36 payments, so adds ...

  $243/36 = $6.75 to each of the $25 payments we calculated above.

The monthly payment is ...

  $25 +6.75 = $31.75

Answer:

  c.

Step-by-step explanation:

The graph will be shaded above the boundary line when the inequality is of the form ...

  y > ( )

The boundary line will be solid when the comparison includes the "or equal to" case:

  y ≥ ( )

__

Here, the parabola will open upward if the leading coefficient is positive:

  y ≥ x² + ( )

The shading above the solid line tells you the inequality is ...

  y ≥ ( ) . . . . . matches choice C

_____

Additional comment

The parent function x² is shifted left 2 units, so the graph is of (x +2)². The expanded form of this matches choice C.

Hey there!

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

not an answer but I’m working on the same worksheet and if u wanna work on it together than u should add my discord: kuispe#1715

Standard deviation is a measurement of a collection of values' variance or dispersion. The standard deviation of the data set is 2.474.

Step 1: Find the mean

Step 2: Find each score’s deviation from the mean

Step 3: Square each deviation from the mean

Step 4: Find the sum of squares

Step 5: Apply the formula

[tex]SD = \sqrt{\dfrac{\sum(x_i-\bar{x})^2}{n}}[/tex]

The data set that is given to us is {1, 4, 2, 2, 8, 7, 3}, now use the steps to calculate the standard deviation.

Step 1: Find the mean

The mean of the given data set can be written as,

[tex]Mean, \mu=\dfrac{1+4+2+2+8+7+3}{7} = 3.857[/tex]

Step 2: Find each score’s deviation from the mean

1 - 3.857 = -2.857

4 - 3.857 = 0.143

2 - 3.857= -1.857

2 - 3.857= -1.857

8 - 3.857 = 4.143

7 - 3.857 = 3.143

3 - 3.857 = -0.857

Step 3: Square each deviation from the mean

-2.857² = 8.162

0.143² = 0.02

-1.857² = 3.447

-1.857² = 3.447

4.143² = 17.165

3.143² = 9.877

-0.857²= 0.735

Step 4: Find the sum of squares

8.162+0.20+3.447+3.447+17.165+9.877+0.735 = 42.857

Step 5: Apply the formula

[tex]SD = \sqrt{\dfrac{\sum(x_i-\bar{x})^2}{n}}\\\\SD = \sqrt{\dfrac{42.857}{7}} \\\\SD= 2.474[/tex]

Hence, the standard deviation of the data set is 2.474.

Learn more about Standard Deviation:

https://brainly.com/question/12402189

Answer:

x = 15°

Step-by-step explanation:

Linear pair = 180°

⇒ (6x - 5) + (6x + 5) = 180°

⇒ 12x = 180°

⇒ x = 15°

Since line m is parallel to line n, (6x - 5) and (6x + 5) are a linear pair.

Linear pair means that the sum of two angles equaling 180°.

[tex](6x - 5) + (6x + 5) = 180[/tex]

Step-by step calculations:

Opening the parenthesis:

[tex](6x - 5) + (6x + 5) = 180 \\\\6x - 5 + 6x + 5 = 180[/tex]

Combining like terms:

[tex]6x - 5 + 6x + 5 = 180 \\\\ (6x + 6x) + (-5 + 5) = 180[/tex]

Simplify the LHS:

[tex](6x + 6x) + (-5 + 5) = 180\\\\(12x) = 180[/tex]

Divide 12 both sides and simplify:

[tex]\frac{12x}{12} = \frac{180}{12} \\\\ x = 15[/tex]

Thus, the value of x is 15.

Answer:

Hello bakugo here!

Step-by-step explanation:

I don't see anything, is there supposed to be anything here? if not

Thank you extra for FREE points! :D

Answer:

the answer is (B) I used an app to solve it

Answer:

The answer would be "B" because you have to cross multiply, which would give you: -3k = 180. Then, you have to divide 180 by -3, which would give you -60.

Answer:

102(vertically opposite angle)

Check the picture below.

Answer:

54 units

Step-by-step explanation:

        We can graph the vertices given to make this easier to solve.

-> See attached.

-> This will help us in finding the lengths of the sides.

-> We can also use mathematics.

8 + 5 = 13 and 8 + 6 = 14

        Next we will find the perimeter.

-> This can be found with either of these formulas:

[] P = 2L + 2W

[] P = W + W + L + L

P = 2L + 2W

P = 2(14) + 2(13)

P = 54

The perimeter of the county is 54 units

Answer:

18[tex]\pi[/tex] yd.³ or 56.54867 yd.³

Step-by-step explanation:

The volume of a cylinder can be written as: height × base, where the base of the cylinder is [tex]\pi[/tex]r².

Since the radius (r) is half the diameter, it should be 1.5 or 3/2 yd.

r = 1.5

So, the area of the base of the cylinder is 1.5²([tex]\pi[/tex]), which is equal to 2.25[tex]\pi[/tex].

Now multiply that by the height, 8 yd.

2.25[tex]\pi[/tex] × 8 = 18[tex]\pi[/tex]

The area of the cylinder is 18[tex]\pi[/tex] or 56.54867

Answer:

56.55 yd.³ OR 56.52 yd.³

Step-by-step explanation:

The formula for the volume of a cylinder is; V=πr^2h

To find the volume let's put in the values they gave us.

Now: V=π times 1.5^2 times 8

(If you don't know what pi or π is its the area of a unit circle. So the area of a circle with diameter 2 or radius 1)

Continuing the volume would be 3.141592.. * 2.25 * 8 ( '*' indicates multiplication) Now the answer after you multiply would be approx. 56.54867 which rounded would be 56.55

V=πr^2h so 3.14*2.25*8 which would be 56.52 yd.³ (if this is the way you need it ignore ANY other answers)

Answer:

[tex]\mathrm{No\:Solution}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}Y=3x-2\\ Y-3x=4\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}Y=3x-2[/tex]

[tex]\begin{bmatrix}3x-2-3x=4\end{bmatrix}[/tex]

[tex]\mathrm\:{Combine\:like\:terms:[/tex]

[tex]\begin{bmatrix}-2=4\end{bmatrix}[/tex]

[tex]-2=4\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}[/tex]

[tex]\mathrm{No\:Solution}[/tex]

Answer:

3 &4

Step-by-step explanation:

Factor is something that is being multiplied together.

Answer:

a) (-3, 0) and (7, 0)

b) If x = 7 then (7 - 7) = 0

   If x = -3 then (-3 + 3) = 0

c)  f(x) = x² - 4x - 21

   y-intercept  (0, -21)

Step-by-step explanation:

a)

x-intercepts are when f(x) = 0

Therefore, if f(x) = (x - 7)(x + 3)  then (x - 7)(x + 3) = 0

⇒ x - 7 = 0

⇒ x = 7

and

⇒ x + 3 = 0

⇒ x = -3

So x-intercepts are (-3, 0) and (7, 0)

b) If x = 7 then (7 - 7) = 0

  If x = -3 then (-3 + 3) = 0

c) Expand f(x) = (x - 7)(x + 3)

⇒ f(x) = x² + 3x - 7x - 21

⇒ f(x) = x² - 4x - 21

The y-intercept is when x = 0 ⇒  (0, -21)

Answer:

Point I is on line segment HJ; which means HI and IJ are equal.

HJ = 15

IJ = 10

Finding the length of HI, given the above statements:

Length of HI = 10 (reason: HI and IJ are congruent)