Reagan used 1,297 sq ft of wrapping paper to wrap gifts for everyone in her class. If each gift used the same amount of wrapping paper and she wrapped 24 gifts, how much wrapping paper did she use for each gift?

Answer:

Step 3 is wrong because the subtraction property of equality was used incorrectly

Step-by-step explanation:

Henry showed all the steps he took to solve the equation.

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15

Step 2

3 x + 28 = 15

Step 3

3 x = 15

Step 4

x = 5

Verifying the steps

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct

Step 2

3 x + 28 = 15(Addition property of equality this is correct)

Step 3

3 x = 15 (Subtraction property of equality) This is incorrect

The correct form is

3x +28 - 28 = 15 - 28

3x = -13

Step 4

x = -13/3

x = - 4.3333333333

Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.

x = -4.3

Answer:

c

Step-by-step explanation:

Answer:

12.5 hours

Step-by-step explanation:

[tex]\frac{400}{32}[/tex] = 12.5

Answer:

12 hours and 30 minutes

Step-by-step explanation:

400/32 = 12.5

Answer:

Step-by-step explanation:

b = bouquet c = centerpieces

13b + 4c = 487

6b + 2c = 232

Answer:

what

Step-by-step explanation:

theres no answers?

Answer:

(A) A trend line can be used to make predictions in real-world situations.

(B) A scatterplot that shows no correlation between the variables does not have a trend line.

(D) A regression line and trend line are equivalent terms.

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

AEB is a right angle, a right angle is 90 degrees

this means 5x+15 needs to equal 90

plug in 15 for x

5 x 15 + 15 = 90

Answer:

It is linear because if all x values are different, it makes it linear.

Answer:

I think 2,6

Step-by-step explanation: X5

Step-by-step explanation:

95+8x+5=180

100+8x=180

8x=80

X=80/8

x=10

Answer:

The sale price is $763.20

The price for club members is $610.56

The current selling price is $763.20, and the cost to members with an additional  10% reduced rate is $686.88.

A percentage is a ratio or number that may be expressed as a fraction of one hundred. And the sign for it is "%."

Given, a computer store buys a computer system at a cost of ​$572.40.

And the selling price was first at $954​, but then the store advertised a 20% markdown on the system.

To find the current sale price:

Current sales price;

use percentage formula,

= $954 - (20% × $954)

= $954 - (0.2 × $954)

= $954 - $190.80

= $763.20

To find the cost to club members at 10% additional reduced price:

use percentage formula,

= $763.20 - (10% × $763.20)

= $763.20 - (0.1 × $763.20)

= $763.20 - $76.32

= $686.88

Therefore, the current sale price is $763.20, and it will cost $686.88 to the members.

To learn more about the percentage;

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Answer:

i think its d

Step-by-step explanation:

not copying i think

Answer:

C - y = 3x - 2

Step-by-step explanation:

I took the test. Hope this helps! :)

Answer:

you have to get rid of the numbers and then get rid of the letters until only s is left

Step-by-step explanation:

4s - 13= 51

51+13= 64

4s= 64

64÷4 = 16

s= 16

Answer:

5.00

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

- 7n ≤ 77

Step-by-step explanation:

- 7n ≤ 77

n ≥ - 11

Answer:

It’s c my fren its 40 because you are doing the math as in adding and multiplying..... I tried to help lol tell me if I’m wrong.

Step-by-step explanation:

Answer:

A. Parallel Lines  (Zero)

B. Intersecting Lines (One)

C. Coincident Lines (Infinitely Many)

Answer:

Rational because it isn't a repeating decimal

Step-by-step explanation:

Answer:

7921 is the correct answer

Answer:

7,291

Step-by-step explanation:

Just multiply. 89 x 89

Answer:

9x-12

Step-by-step explanation:

3*x = 3x

3*-4= -12

3x - 12 = 12x

12x-3x = 9x

9x-12

Answer:  x = -4/3

Step-by-step explanation:

3(x−4)=12x

Step 1: Simplify both sides of the equation.

3(x−4)=12x

(3)(x)+(3)(−4)=12x  (Distribute)

3x+−12=12x

3x−12=12x

Step 2: Subtract 12x from both sides.

3x−12−12x=12x−12x

−9x−12=0

Step 3: Add 12 to both sides.

−9x−12+12=0+12

−9x=12

Step 4: Divide both sides by -9.

-9x/-9 = 12/-9

x = -4/3

Answer:

hi! so we have 2 points right? you will need to use something called the slope formula  y2-y1/x2-x1 we're subtracting our y values of both points and x values of both points while dividing them this gives us a slope of a line

now I want you to label before you do this in your head! it can get confusing to think about it so label label (x1-1,y1 4) (x2 14,y2 -2) now you have them labeled this parts easy! use the formula -2-4/14--1 okay now use your calculator you get -2/5 and now you have your m or slope!

memorize y2-y1/x2-x1  now! it will save you!

Step-by-step explanation:

Answer:

-2/5 is the answer

9514 1404 393

Answer:

  (x, y, z) = (8√7/105, 2√7/21, 4√7/35)

Step-by-step explanation:

The algebra is straightforward, if tedious.

We'll define X = x^2, Y = y^2, Z = z^2, -1/16 = a, -1/25 = b, -1/36 = c. Then the equations become ...

  √X = √(Y +a) +√(Z +a) . . . . [eq1]

  √Y = √(Z +b) +√(X +b) . . . . [eq2]

  √Z = √(X +c) +√(Y +c) . . . . [eq3]

__

As with any radical equation, you square both sides, isolate the remaining radical, then square both sides again. Each squaring introduces extraneous solutions.

The equations are symmetrical, so we can do the tedious stuff on the first one, then make the appropriate substitutions to see the other two equations.

  X = Y +a + 2√((Y+a)(Z+a)) +Z +a

  X - Y - Z -2a = 2√((Y+a)(Z+a)) . . . . isolate the remaining radical

  (X -Y -Z -2a)^2 = 4(Y+a)(Z+a) . . . . square both sides again

  X^2 +Y^2 +Z^2 +4a^2 -2XY -2XZ +2YZ -4aX +4aY +4aZ = 4YZ +4aY +4aZ +4a^2

Subtracting the right side gives ...

  X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4aX = 0 . . . . [eq4]

Then the remaining equations are ...

  X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4bY = 0 . . . . [eq5]

  X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4cZ = 0 . . . . [eq6]

Subtracting [eq6] from [eq5] gives a relation between Y and Z:

  -4bY +4cZ = 0

  Z = bY/c . . . . [eq7]

Substituting this into [eq4], we have ...

  X^2 +Y^2 +(bY/c)^2 -2XY -2X(bY/c) -2Y(bY/c) -4aX = 0

  X^2 +Y^2(1 -2b/c +(b/c)^2) -2XY(1 +b/c) -4aX = 0 . . . . [eq8]

Subtracting [eq5] from [eq4] gives a relation between X and Y:

  -4aX +4bY = 0

  Y = aX/b . . . . [eq9]

Substituting this into [eq8], we have ...

  X^2 +(aX/b(1 -b/c))^2 -2X(aX/b)(1 +b/c) -4aX = 0

Dividing by X* gives a linear equation in X:

  X(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c)) -4a = 0

  X = 4a/(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c))

Substituting the above values for a, b, c, we have ...

  X = 64/1575

  x = √X = √(64/1575) = 8/(15√7)

  Y = X(25/16)

  y = x(5/4) = 2/(3√7)

  Z = Y(36/25)

  z = y(6/5) = 4/(5√7)

The solution is ...

_____

* At this point the equation is of the form pX^2 +qX = 0 or X(pX +q) = 0. One solution is X=0, which is extraneous. The solution of interest is X = -q/p.

Answer:

You are correct.

Step-by-step explanation:

y and j are the vertexes. Given that M and S are the corresponding parts of the 2 triangles, I would say you picked the right answer. But the question is ambiguous and there might be some hidden meaning why this is wrong. The reason might not stand up in a court of law, but instructors do hold the gun at your head.

Curse at it and move on.

Answer:

7B, 8C, 9D, 10A

Step-by-step explanation:

Answer:

The mean number of cookies was 33.5

Step-by-step explanation:

Add the values of the terms and divide by the number of terms.

So...

26 + 38 + 45 + 25 = 134

134 ÷ 4 = 33.5

Alright, it went 1 to the right and down 2 times.

So for point B, you calculate the opposite.

Point B goes 1 left while going up by 2.

(9 - 1, 3 + 2) = (8, 5)

Pre-image point A is (8, 5)

The preimage of point A before a translation right 1 unit and down 2 units

is (8, 5).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, The image point of A after a translation right 1 unit and down 2 units is point B (9, 3) so we go exact opposite 1 unit left and 2 units up which is

(- 1, 2).

∴ The pre-image point A is (8, 5).

learn more about translations here :

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Answer:

The volume of the geometric solid produced is 391 cubic cm ⇒ A

Step-by-step explanation:

When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.

The rule of the volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where

∵ Triangle XYZ is rotated 360° about the vertical side YZ

∴ It formed a cone with a radius = XZ and a height = YZ

∵ [tex]\frac{YZ}{XZ}=tan(60)[/tex]

∵ YX = 6√3

∴ [tex]\frac{6\sqrt{3}}{XZ}=tan(60)[/tex]

∵ tan(60) = √3

∴ [tex]\frac{6\sqrt{3}}{XZ}[/tex] = √3

→ By using cross multiplication

∴ 6√3 = XZ(√3)

→ Divide both sides by √3

∴ 6 = XZ

∵ XZ = r and YZ = h

∴ r = 6 and h = 6√3

→ By using the rule of the cone above

∵ V = [tex]\frac{1}{3}[/tex] (π) (6)² (6√3)

∴ V ≅ 391 cm³

∴ The volume of the geometric solid produced is 391 cubic cm