The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.

A 3-column table titled Gift-Wrapping Fundraiser has 3 rows. The first column is labeled Plain Gifts Wrapped with entries 10, 25, 16. The second column is labeled Decorative Gifts Wrapped with entries 9, 12, 12. The third column is labeled Total Raised in dollars with entries 47, 86, 68.
Which statement describes the amounts the team charged for wrapping gifts?

Answers

Answer 1

Answer:

Step-by-step explanation:

We will assume that the first two columns are the numbers sold for Plain Wrapping and Decorative Wrapping.  The third colum does not equal the sum of the first two, so we'll assume it is the total paid for both options.  Let set the price of Plain Wrapping to x and the Decorative Wrapping to y.  The number of gift wrappings times the cost per warpping is the product of x or y timers the number wrapped as shown in columns 1 and 2.

Take the first row and set it as an equation:

10x+9y = 47   [10 Plain Wraps and 9 Decorative Wraps bring a total of $47]

Do the same for the second and third rows:

25x + 12y = 86, and

16x +12y =  68

===========

We can take any equation and rearrange it to isolate one of the 2 variables, x or y.  I'll pick 10x = 47-9y and isolate x:

10x = 47-9y

x = (47-9y)/10

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

Now use this definition of x in another equation.  I'll use 25x + 12y = 86.

25x + 12y = 86

25(47-9y)/10 + 12y = 86     [since x = (47-9y)/10 from above]

117.5 - 22.5y + 12y = 86

-10.5y = -31.5

y = 3                                     [the price for decorative wrapping is $3]

If y = 3, then we can use this in any of the equations to find x:

x = (47-9y)/10

x = (47-9(3))/10     [Use y = 3]

x = (47-27)/10

x = 2                              [The price for plain wrapping is $3]

======================

Check to see if these values will expalin the total value of the three rows of numbers:

CHECK:

______UNITS____         $2 each          $3 each

PlainW DecG Total      PlainW ($)      DecG ($)      Total ($)

   x           y                          x                       y

   10         9        $47          $20                    $27              $ 47         OK

   25        12       $86          $50                    $36              $ 86         OK

   16        12       $68          $32                    $36              $ 68         OK

The values work.  Merry Christmas.

Answer 2

Answer:

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Step-by-step explanation:

just did it in edg


Related Questions

can someone please help? I'm sorry I don't have a lot of points to offer. I'm running out of points ​

Answers

Answer:

80 degrees

Step-by-step explanation:

The 132-deg angle is an exterior angle of the left triangle.

The 52-deg angle is a remote interior angle to the exterior angle above.

Angle VZY is also a remote interior angle to the exterior angle above.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

We use the theorem above to find the measure of angle VZY.

52 + m<VZY = 132

m<VZY = 80

Angles WZX and VZY are vertical angles, so they are congruent.

m<WZX = m<VZY = 80

Answer: 80 degrees

Answer:

m∠WZX = 80°

Step-by-step explanation:

Angle V is a flat angle, so it measures 180°.

Find ∠YVZ (blue angle): 180° - 132° = 48°

Triangle VYZ is 180° (all triangles are 180°).

Find ∠YZV (red angle): 180° - 52° - 48° = 80°

Since you know ∠YZV, you can find ∠WZX (green angle).

∠YZV and ∠WZX are opposite angles, so they are congruent.

Therefore, ∠WZX = 80°

Hope this helps :)

if you could answer this that would be so appreciated :).

Given are the lengths of two sides of a triangle. Find the range of the lengths for the third side. this is triangle inequality theorem.

1. 3.6, 10.8

2. 6.9, 3.2

3. 6, 4

I’m sorry for spam but I really need help
Only answer is you know the answer plz!

Answers

Answer:Triangle Inequality Theorem

The Triangle Inequality theorem states that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

The Converse of the Triangle Inequality theorem states that

It is not possible to construct a triangle from three line segments if any of them is longer than the sum of the other two.

The length of s is greater than 3 and less than 11

Step-by-step explanation:

I need help PLEASE !!!! Write a cosine function that has an amplitude of 2, a midline of 4 and a period of 4.

Answers

Answer:

[tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]

Step-by-step explanation:

The standardized cosine function is ;

[tex]\mathbf{y = Acos (Bx + C) +D}[/tex]

Amplitude |A| = 2

Period [tex]\dfrac{2 \pi}{B }= 4[/tex]

2π = 4B

[tex]B = \dfrac{2 \pi}{4}[/tex]

[tex]B = \dfrac{\pi}{2}[/tex]

Midline y = 4;  D = 4

Phase shift; since no phase shift is given; then C = 0

The cosine function: [tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]

H(x)=(x+5) ^2
If we solve h(x) = 36, one of the possible values of x is 1
What is the other possible value of x?

Answers

The answer is 10
............

Find the total surface area

Answers

Answer:

47

Step-by-step explanation:

9+9+9+9+7+7

forgive me if i am wrong

Answer:

147 cm^2

Step-by-step explanation:

To find the surface area, you would have to add up the area of all shapes:

Area of triangle: 1/2 base*height

Area of square: length*width

----------

square = l*w = 7*7 = 49 cm^2

----------

So since there are 4 triangles, you would have to multiply the result by 4.

triangle = 1/2 7*9 = 49/2 = 24.5

4 triangles = area of 1 triangle * 4 = 4(24.5) = 98 cm^2

----------

add them up, and you get 49 + 98 = 147 cm^2

The mid point of ab is m(-2,-6) if the coordinates of a are (-1,4) what are the coordinates of B

Answers

Answer:

i hate thsi coordinate chapter its very difficult chapter u know

OFFERING BRAINLIEST !! Using the formula, compute the true annual interest rate to the nearest tenth.

[tex]Interest (I) = \frac{2yc}{m(n+1)}[/tex]

Loan amount = $9,500
Monthly payments = $227.50
Time of loan contract = 5 years
Interest rate = ____%

Answers

Answer:

Step-by-step explanation:

5x12=60

(227.5x5x120)=13650

13650-9500=4150

apply formula

(2x12x4150)/((13650(60+1))=0.1196

0.1196x100=11.96% 0r 12%

Answer:

17.2%

Step-by-step explanation:

given that:

y = 12 months

m = $9,500

n = 60 (because five years is 60 months)

c = (n * $227.50) - m

  = (60 * $227.50) - $9,500

c = 4,150

and now, to substitute the following to the equation:

[tex]\frac{2(12)(4,150)}{9,500(61)} *100[/tex] = 17.2%

The net of a square pyramid is shown in the diagram.


What is the total surface area of the square pyramid in square inches?

Answers

Answer:

208

............

The total surface area of the square pyramid is 208 square inches.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is to find the total surface area of the square pyramid in square inches.

We can write the total surface area of the square pyramid as -

A{total} = A{square} + 4 x A{Δ}

A{total} = (8 x 8) + (4 x 1/2 x 8 x 9)

A{total} = 64 + (16 x 9)

A{total} = 208 square inches

Therefore, the total surface area of the square pyramid is 208 square inches.

To solve more questions on areas, visit the link-

https://brainly.com/question/29213222

#SPJ2

A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base. What is the: Total surface area of the pyramid?​

Answers

Answer:

10 x 24 x 13 = 3120?

Step-by-step explanation:

I hope this is right!

Answer:

[tex]10\sqrt{313} +24\sqrt{194}+240[/tex] square units

Step-by-step explanation:

If your base is 10x24, and the vertical height is 13, you first have to find the slant height of the pyramid, in other words, calculate the hypotenuse of the triangles constructed using the height and the base divided by 2. You will need to find two slant heights as the base is not square. If you look at that image, the slant heights are marked in blue, and the specific measurements know are given in red. Using that, we can apply the Pythagorean theorem to determine the slant heights, which are [tex]\sqrt{194}[/tex] and [tex]\sqrt{313}[/tex], then we need to calculate the area of each triangular face. Thus they are [tex]5\sqrt{313}[/tex] and [tex]12\sqrt{194}[/tex], but there are two identical faces in the pyramid, which means we should double the area of the faces to achieve [tex]10\sqrt{313} +24\sqrt{194}[/tex], then we need to simply add the base as it's a face. So the answer is [tex]10\sqrt{313} +24\sqrt{194}+240[/tex]

Please help quickly! have to turn in, in 26 minutes!!

Answers

Answer:

the subject of the story

one and sixty three hundreths in decimal form.

Answers

Answer:

1.63

Step-by-step explanation:

Answer:

1.63

Step-by-step explanation:

A man walks 10 miles in x hours. How far does he walk in one hour?

Which expression represents this?

10 + x miles
10x miles
miles

Answers

10x miles is the answer xxxxxxxx

Answer:

10/x represents how far he walks in one hour

Step-by-step explanation:

help plz. thank u so much.​

Answers

Answer:

i think x/y=4

Step-by-step explanation:

A wooden plank is 424cm long.

50% of it is cut off.

How long is the plank now?

Answers

Answer:

214cm long of wooden plank

The answer is 212 cm

Need help ASAP with maybe problem!!!

Answers

y=-4x+1 you can find this out quickly by doing rise over run count how many blocks go horizontally then go up from that point

Answer:

-3

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. So, in this equation, the b or y-intercept value is missing. The y-intercept is where the line crosses the y-axis. In this case, the line crosses over at the value of -3. Therefore, the missing value is -3.

help need help ASAP

super hard? free brainly

Answers

Answer:

I think that is false, tell me if im wrong if you can

Answer:

Step-by-step explanation:

False I think.

this from usatestprep

Answers

Answer:

either b or a

Step-by-step explanation:

Answer:

A I believe

Step-by-step explanation:

1.p + 8 = 14.1 *hgtyyytghg

Answers

Answer:

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

p+8=14.1

Step 1: Subtract 8 from both sides.

p+8−8=14.1−8

p=6.1

Answer:p=6.1

p=6.1
14.1-8= 6.1 therefore p= 6.1

Write an expression that can be used to find the area of the shaded region.

Answers

Answer:

bkrjrjjrkrkrkririirkr

Is ATAG-ABAG? If so, identify the similarity postulate or theorem that
applies.
10
G
B
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined

Answers

Answer: it’s D

Step-by-step explanation:

The correct postulate or theorem that applies is,

D. Cannot be determined

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Since, We have to given that,

Side AG = 10 units

And, ∠AGT ≅ ∠AGB.

Thus, options A and B are discarded.

Now, As for the SAS criteria, we need two sides to be congruent and their included angles to be congruent.

But, as no other information is given, we cannot determine whether the given triangles are congruent or not.

Hence, option D is correct.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ5

the sum of three consecutive even numbers is 78,find the number​

Answers

Answer:

24, 26, 28

Step-by-step explanation:

The final number is 78

first we can divide 78/3= 26

so 26+26+26= 78

we can leave the middle 26 but we can give 2 from the first number to the last number

24+26+28=78

(This might be wrong but i tried my best)

witch of the following statements are true​

Answers

it would be B, although it could be different if there’s a picture above

a, b ve c birbirinden farklı pozitif tam sayılardır.
Buna göre,
a.b.c = 12
eşitliğini sağlayan kaç değişik (a, b, c) üçlüsü vardır?
A) 6
B) 9
C) 12
D) 18
E) 24​

Answers

A.6 would be the answer

what times what equals 168 besides 84 times 2?

Answers

Answer:

12 & 14

Step-by-step explanation:

Find the GCF 36, 22.

Answers

Answer:

The greatest common factor (GCF) of 36 and 22 is 2.

Answer:

2 is the GCF of 36 and 22.

WHAT VALUE ARE SOULTIONS TO X<7

Answers

Answer:

h M dan MB URL e5kei5

Step-by-step explanation:

h NBC qy2 il e5jrs

which of the following is true about the expression

Answers

It’s b, square root of 3 is irrational, 2 is rational, it creates a irrational number

The statements are represented by the rational number -6?

Answers

Answer:

uhhh.. statement? *~*

Step-by-step explanation:

Please help please help please URGENT PLEASE NEED HELP PLEASE FAST RESPONSE PLEASE

Answers

Answer:

x = -4, x = 4

Step-by-step explanation:

A denominator cannot equal zero since division by zero is undefined.

Set the denominator equal to zero and solve for x. That will give you the values of x that would cause the denominator to be equal to zero and must be excluded from the domain.

x^2 - 16 = 0

(x + 4)(x - 4) = 0

x + 4 = 0  or  x - 4 = 0

x = -4  or  x = 4

Answer: x = -4, x = 4

4x=-20 solve for x show your work

Answers

Answer: x = 5

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

We have the expression 4x = -20 and are asked to solve x.

To solve, we need to isolate x.

4x = -20

Divide 4 :

x = -5

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