Katherine went to the store to buy some almonds. The price per pound of the almonds is $3 per pound and she has a coupon for $1.50 off the final amount. With the coupon, how much would Katherine have to pay to buy 4 pounds of almonds? Also, write an expression for the cost to buy pp pounds of almonds, assuming at least one pound is purchased.

Cost of 4 pounds:
Cost of pp pounds:

Answer:

(168,12)

Step-by-step explanation:

Substitute x = 10y+48 in the first equation.

[tex]10y + 48 + y = 180 \\ 11y = 180 - 48 \\ 11y = 132 \\ y = \frac{132}{11} \\ y = 12[/tex]

We have got the y-value. Our next goal is to find the x-value by substituting y-value in any given equations.

For me, I will be substituting y = 12 in the first equation.

[tex]x + 12 = 180 \\ x = 180 - 12 \\ x = 168[/tex]

Answer Check

Substitute both x-value and y-value in both equations.

[tex]168 + 12 = 180 \\ 180 = 180[/tex]

Our first equation is true for both values.

[tex]168 = 10(12) + 48 \\ 168 = 120 + 48 \\ 168 = 168[/tex]

Our second equation is true for both values.

Thus, the answer is (168, 12)

Answer:

2.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

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

answer

x=2 or x=-7

Answer:

14

Step-by-step explanation:

If he had 14 then he gave away 6, he'd have 8. 8 plus 4 is 12. He had 14 before giving any away.

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= $7,900

Unitary cost per sandwich= $1.7

Selling price per unit= $7.75

To calculate the break-even point in units and dollars, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 7,900 / (7.75 - 1.7)

Break-even point in units= 1,306 sandwiches

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 7,900 / (6.05 / 7.75)

Break-even point (dollars)= $10,120

Answer: 1/40

Step-by-step explanation:

Since we are told that Sinister Stan stole 3 3/4 oz of slime from Messy Molly and stole another 2 3/5 oz of slime from Rude Ralph. The total oz of slime stole would be:

= 3 3/4 + 2 3/5

= 3 15/20 + 2 12/20

= 5 27/20

= 6 7/20

We are told that his evil plans require 6 3/8 oz of slime, the amount needed for Sinister Stan for his evil plan would be:

= 6 3/8 - 6 7/20

= 6 30/80 - 6 28/80

= 2/80

= 1/40

Answer:

Option D is correct answer.

Step-by-step explanation:

We are given the system of equations:

[tex]x+y=4\\x-y=-6[/tex]

Solving the system of equations to find values of x and y

Let:

[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]

Adding both equations to find value of x

[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]

So, we get value of x: x=-1

Now, putting value of x: x=-1 into equation 1 to find value of y

[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]

So, we get value of y: y=5

The ordered pair will be: (-1,5)

So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.

Checking:

Put x=-1 and y=5 in equation 1

[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]

Put x=-1 and y=5 in equation 2

[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]

So, both equations are true.

Therefore, Option D is correct answer.

Answer:

(-2,0)

Step-by-step explanation:

When finding the x intercept, substitute 0 for Y. -20/10=-2.

I hope this helps

Answer:

The x-intercepts of that is (-2,0).

Answer:

122°

Step-by-step explanation:

10a + 2° + 5a - 2° = 180° [ being linear pair ]

15a = 180°

a = 180° / 15

a =12°

Now

<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°

Hope it will help :)

Answer:

It's C or the third option.

Step-by-step explanation: Edge 2021

Answer:

C.

Explaination:

just did on edge 2021

Answer: 3,750 miles

Step-by-step explanation:

Route takes him 125 miles each way so in a day he travels:

= 125 + 125

= 250 miles

He made 15 roundtrips so total miles is:

= 15 * 250

= 3,750 miles

Answer:

The equation of the straight line is  x - 2y +6 =0

Step-by-step explanation:

Explanation:-

Given a point ( 2, 4) and slope m =  [tex]\frac{1}{2}[/tex]

The equation of the straight line passing through the point and having slope 'm'

          y - y₁ = m ( x - x₁)

           y - 4 = [tex]\frac{1}{2}[/tex] ( x - 2)

          2( y -4) = ( x-2)

          2 y - 8 = x -2

          x - 2 y - 2 + 8 =0

          x - 2y + 6 =0

The equation of the straight line is  x - 2y +6 =0

The answer is:

y = 1/2x + 5

Work/explanation:

Since I have a point and the slope, I will write the equation in point slope form.

Point slope is

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

where m = slope and (x₁, y₁) is a point on the line

Plug in the data

[tex]\sf{y-4=\dfrac{1}{2}(x-2)}[/tex]

Now let's simplify to slope intercept

                    [tex]\large\begin{gathered}\sf{y-4=\dfrac{1}{2}x+1}\\\sf{y=\dfrac{1}{2}x+1+4}\\\sf{y=\dfrac{1}{2}x+5}\end{gathered}[/tex]

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

The answer is 470.16 cm²

Answer:

AA similarity

Step-by-step explanation:

Your question is not well presented.

See attachment

Given

Triangles ABC and DBE

Required

Which postulate supports the similarities of ABC and DBE

At the first transformation (180 degrees rotation) both triangles maintain SSS and AAA relationships. i.e Side-Side-Side and Angle-Angle-Angle

This is so because rotations do not alter the side lengths; neither does it alter the angles.

When the second transformation (dilation) takes place, the lengths of both triangles ABC and DBE become different because dilation alters side lengths.

However, angle measurements remain unaltered.

Hence, AAA similarity answers the question

Answer:

39

Step-by-step explanation:

-133/-7=19+15=39

check:39-15=19

19x(-7)=-133

Answer:

3(x+y)

=3x+3y

Here he have to multiply 3 with x and y.

Answer:

please mark me brainliest and follow me my friend.

Answer:

z=−9

Step-by-step explanation:

Let's solve your equation step-by-step.

2/3z =−6

Step 1: Multiply both sides by 3/2.

(3/2)*(2/3z)=(3/2)*(−6)

z=−9

plz give brainlyest

Answer:

Part 1: s+32=187

Part 2: 187-32=s

s=155

Step-by-step explanation:

Answer:

s+32=187 for the first response box. the second is - s=155

Step-by-step explanation:

Answer:

-56=8(x-8)

-56=8x-64 +64

8=8x :8

1=x

Step-by-step explanation:

prove me wrong

Answer:

x=1

Step-by-step explanation:

You would do distributive property and multiply 8 by the x and -8

-56=8x-64

The add 64 on both sides

8=8x

divide 8

x=1

Answer: X = 4

Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.

Answer:

650/100 X 3 = 19.5

19.50 X 4 = 78

$78

Answer: (9x^2)^2 -1^2

Step-by-step explanation:

Jake rewrite the expression as,

⇒ (3x - 1) (3x + 1) (9x² + 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 81x⁴ - 1

And, Jake rewrites the expression as a difference of squares so he can factor it.

Now, We can rewrite the expression as;

⇒ 81x⁴ - 1

⇒ (9x²)² - 1²

⇒ (9x² - 1) (9x² + 1)

⇒ ((3x)² - 1²) (9x² + 1)

⇒ (3x - 1) (3x + 1) (9x² + 1)

Learn more about the mathematical expression visit:

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#SPJ6

Answer:

97

Step-by-step explanation:

you square 72 and 65 and add them together then take the square root of your answer aka 97 and thats the hypotenuse

Answer:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Step-by-step explanation:

Answer:

50.1 milliliters

Step-by-step explanation:

hope this helps!

Answer:

20.65%

Step-by-step explanation:

[tex] \frac{19}{92} \\ \\ = \frac{19 \times 100}{92} \% \\ \\ = \frac{1900}{92} \% \\ \\ = 20.6521739 \%\\ \\ = 20.65\%[/tex]

Answer:

x=2

Step-by-step explanation:

17x-8=11x+4

Add 8 to both sides:

17x=11x+12

Subtract 11 x from both sides:

6x=12

Divide both sides by 6:

x=2

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex] such that the two triangles are congruent as per the Side-Side-Side Congruence Postulate.

According to Side-Side-Side postulate, if the three sides of one the two triangles are congruent to each other then the two triangles are congruent.

Congruent triangles have the same shape as well as the same size.

[tex]\boldsymbol{\bigtriangleup MPQ\cong \bigtriangleup NPQ}[/tex]

This implies [tex]PM,PN[/tex] are same in length.

[tex]17x-8=11x+4[/tex]

       [tex]6x=12[/tex]

         [tex]x=2[/tex]

So, value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex].

Find out more information about Side-Side-Side postulate here:

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