Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?

Answers

Answer 1

Answer:

$19.68

Step-by-step explanation:

this is not really clearly defined.

I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.

x = what Marcia is paying

and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24

so,

x + x/2 + x/3 = 108.24

6x + 3x + 2x = 649.44

11x = 649.44

x = $59.04

Mario's part is x/3 = 59.04/3 = $19.68


Related Questions

What are angles a,b and c

Answers

Answer:

A=38°

B=84°

C=68will use the property of an isosceles triangle to find the answer

A shopkeeper bought two watches for rs. 400 . He sold them to gain 5 % on one and 5 % loss on other . Calculate his final gain or loss percent of the selling price of both watches is same . ​

Answers

Answer:

69

Step-by-step explanation:

1234567890

An isosceles triangle has been constructed so that its height is half its base. Find the dimensions of the
triangle if the area is 64 m².

Answers

Answer: 4 8×8= 64 half the base which is 8 =4

Step-by-step explanation:

Answer:

height = 8 m

base = 16 m

Step-by-step explanation:

Let base = 2x m

So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]

Area = 64 m²

[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]

 x * x = 64

x * x = 8 * 8

x = 8 m

Base = 2x = 2*8 = 16 m

Rohann recently finished some renovations to his house. 20 square meters of carpeting cost $875 while 17 square meters of hardwood flooring cost $750. Which flooring is more expensive per square meter?

Answers

Answer: Hardwood flooring

Step-by-step explanation:

Given

Rohann renovation of Carpentering cost $875 for [tex]20\ m^2[/tex]

For hardwood flooring [tex]17\ m^2[/tex] cost $750

So, cost per square meter for different floors are

[tex]\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2[/tex]

[tex]\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2[/tex]

Thus, the cost of the Hardwood flooring is more expensive.



find the value of the unknown.

Answers

Answer:

86.5

[tex]14 + 8 + 12.5 = 34.5 \: \: 121 - 34.5 = 86.5[/tex]

please help me for this​

Answers

What is the question you are trying to figure out?

The factor of x?

Please help!! I am literally in tears!!
Without graphing, explain how you know the equation
y = - 1/2x^2 - 7 will be compressed
(compared to the parent function of y=x^2).

Answers

Answer:

 

" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)  

y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)

if you add 1 to the equation y = x^2 + 1 it shifts UP one  

if you subtract 3 y = x^2 -3 it shifts down three ....

if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..

note that this slide is opposite to the sign + 4 left slide , - 4 right slide...

NOW YOUR QUESTION !!!! if the coefficient is > 1  

y = 99 x^2 then the graph gets "skinny" goes up faster...

if it is less than one (between -1 past 0 to +1 ) then it flattens out

Bottom line here your coefficient is a "-1/2"  

so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪

I hope that this helps

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the area of the base is 12.5 ft ^2 12.5 ft
2
and the height of the pyramid is 16 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

833.3 ft^3

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

((12.5)(12.5)(16))/3

((156.25)(16))/3

2500/3

833.3 ft^3

Hope this helps (●'◡'●)

The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

=((12.5)(12.5)(16))/3

=((156.25)(16))/3

=2500/3

=833.3 ft^3

Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

Enter a recursive rule for the geometric sequence.

5, -10, 20, -40,...

a^1 = __; a^n = __

Answers

Answer

a^1=-2,5

a^n=a×a^n-1

What Kind of Triangle is shown?

A. Isosceles Triangle

B. Acute Triangle

C. Scalene Triangle

D. Equilateral Triangle

Answers

Answer:

C

Step-by-step explanation:

C because it has sides unequal in length.

Answer: C

Step-by-step explanation:

Isosceles: 2 sides equal

Acute: angles are less than 90 degrees

Scalene: All side lengths are different

Equilateral: All sides are equal

Which of the following is a defined term?
Angle
Line
Point
Plane

Answers

Point is the defined term

Angle is a defined term.

What is defined term?

In geometry defined term, that have a formal definition and can be defined using other geometrical terms is called a defined term.

According to the given question

We have some terms

Angle, Line, Point and Plane

Now,

In geometry, we can define an angle using undefined term of a line. That is we define an angle as  the corners that are created when two non-parallel lines intersect each other, so angle is a defined term.

In Geometry, we define  a point as a location or size .

A line is defined as something that extends infinitely in either direction but has no width and is one dimensional.

While plane extends infinitely in two dimensions.

Hence, line, point and plane are undefined terms.

Learn more about defined and undefined terms here:

https://brainly.com/question/2088770

#SPJ2

Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both

Answers

Answer:

9/25

Step-by-step explanation:

Number of student who has cat , dog = 25 - 3 = 22

Number of students who has cat and dogs = (15 + 16) - 22

                                                                       = 31 - 22 = 9

Number of students who has only cats = 15 - 9 = 6

Number of students who has only dogs = 16 - 9 = 7

P(Cat & dog) = 9/25

A polynomial p has zeros when x = -2, x = 1/3, and x =3.
What could be the equation of p? Choose 1 answer:
a. p(x) = (x + 2)(x + 3)(3x + 1)
b. p(x) = (x + 2)(x + 3) (3x - 1)
C. p(x) = (x + 2)(x - 3)(3x - 1)
D. p(x) = (x - 2)(x + )(3x + 1)

Answers

Answer:

p(x) = ( x +2) (3x - 1) ( x-3)

Step-by-step explanation:

We know the equation for a polynomial with given zeros is

f(x) = a(x-b1) (x-b2)...... where b are the zeros and a is a constant

Since the zeros are x = -2, x = 1/3, and x =3.

p(x) = a( x - -2) (x - 1/3) ( x-3)

p(x) = a( x +2) (x - 1/3) ( x-3)

We can pick the value of a since we are not given a point on the function.  Pick a=3

p(x) = 3( x +2) (x - 1/3) ( x-3)

Rewriting the second term

p(x) = ( x +2) (3x - 1) ( x-3)

Usando a propriedade distribuitiva, calcule as multiplicação
a) (4c-a)×(4c+a)
b) (4x-3)×(6x+1)
c) (x-y)×(x^2+5y)

Answers

Answer:

[tex]a) \left(4c-a\right)\times\left(4c+a\right)[/tex]

[tex]=\left(4c\right)^2-a^2[/tex]

[tex]=16c^2-a^2[/tex]

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

[tex]b) (4x-3)\times(6x+1)[/tex]

[tex]=4x\times \:6x+4x\times \:1+\left(-3\right)\times \:6x+\left(-3\right)\times \:1[/tex]

[tex]=4\times \:6xx+4\times \:1\times \:x-3\times \:6x-3\times \:1[/tex]

[tex]=24x^2-14x-3[/tex]

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

[tex]c)(x-y)\times(x^2+5y)[/tex]

[tex]xx^2+x\times \:5y+\left(-y\right)x^2+\left(-y\right)\times \:5y[/tex]

[tex]=x^2x+5xy-x^2y-5yy[/tex]

[tex]=x^3+5xy-x^2y-5y^2[/tex]

OAmalOHopeO

Instructions: Find the measure of the indicated angle to the nearest degree.
?
33
8

Answers

Answer:

14

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side /adj side

tan theta = 8/33

taking the inverse tan of each side

tan^-1 (tan theta) =tan^-1 (8/33)

theta = tan ^-1 (8/33)

theta =13.62699486

To the nearest degree

theta = 14

Which expression is equivalent to _/8/x^6? Assume x > 0?

Answers

the answer is boxed in

Answer:

Answer Expert Verified

4.0/5

69

carlosego

Genius

11.6K answers

171.7M people helped

We have the following expression:

 sqrt 8 / x ^ 6

 Rewriting we have:

 sqrt (8 / x ^ 6)

 sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))

 (2 / (x * x * x)) sqrt (2)

 (2 / x ^ 3) * sqrt (2)

 Answer:

 An equivalent expression is given by:

 (2 / x ^ 3) * sqrt (2)

Mr. White and Co. has total profit of 6/7 million dollars. The spinning department gave a profit 1/4 of million dollars. Find the fraction of profit from other departments.

Answers

Answer: 17/28

Step-by-step explanation:

Since there is a total profit of 6/7 million dollars and the spinning department gave a profit of 1/4 million, then the profit gotten from other departments will be the fraction of profit from the spinning department subtracted from the total profit. This will be:

= 6/7 - 1/4

= 24/28 - 7/28

= 17/28

The fraction of profit from other department is 17/28.

The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).

Answers

Answer:

151,031

Step-by-step explanation:

If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:

[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.

Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:

[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]

Therefore, in 5 years, the population should be 151,031.

Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.

Answers

Answer:

-10

Step-by-step explanation:

Inverse equation: x= -13y +52

simplify: y=-1/-13x + 4

Plug in for x: y= 1/-13 (182) +4

=   -10

Answer:

y = -10

Step-by-step explanation:

x = -13 y + 52

y = (x - 52)/-13

~~~~~~~~~~~~~~~~~~

y = (182 - 52)/-13

y = -10

Solve (−3) ⋅ 2

please help

Answers

Answer:

-6

Step-by-step explanation:

3*2=6

so the opposite of 6 is -6

Also a negetive times a positive is always a negetive number

Your answer is going to be a negative , anytime you have a negative times to a positive ,your answer will always mostly likely be negative , in this case your answer is -6

Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.

Answers

Answer:

The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD)   because the measure of an intercepted arc is equal to the measure of its corresponding central angle.

Explanation:

sample answer from edmentum

Expand : (3x+5y)²
please answer​

Answers

Answer:

FOIL:  [tex]9x^2 +30xy + 25y^2[/tex]

(3x + 5y)(3x+5y)

F: 3x*3x

O: 3x*5y

I: 5y*3x

L: 5y*5y

[tex]9x^2 +30xy + 25y^2[/tex]

Step-by-step explanation:

if the mean of x1,x2,x3 and x4 is 6 then find the mean of x1+10,x2+8,x3+16 and x4+2​

Answers

Answer:

f the mean of this set is equal to 20, we can write down the below equation,

20 = (x1 + x2 +x3 + .... + x10)/10

x1 + x2 + x3 + ... x10 = 200

Then we can also write an equation for the mean of the given numbers as below,

Mean  = [(x1+4) + (x2+8) + (x3+12) + .... + (x10+40)]/10

          = (x1 + x2 + x3 + ... + x10 + 4 + 8 + 12 + ... + 40)/10

Then we can use above equation (1) to replace x1 + x2 + x3 + ... + x10 by 200

Mean = (200 + 4 + 8 +12 + 16 + 20 + 24 + 28 + 32 + 36 + 40)/10

        = 420/10

        = 42

If you remember Arithmetic Progressions you can simply add together the above number set.

If you closely look above, you can find that there is an Arithmetic Progression : 4, 8, 12, ... , 40

Here we want the addition of 10 terms. So we can use,

Sn = n/2(a+l)

S10 = 10/2(4+40)

      = 220

Then you can easily get the answer,

Mean = (200 + 220)/10

         = 42

The figure that will be formed if two 45° 45° 90° setsquares are put together is _________.​

Answers

It would be a triangle

Write a two colomn proof given cd||ab prove EAB=ECD thanksssss

Answers

Answer:

See below.

Step-by-step explanation:

Statements                                              Reasons

1. CD || AB                                                1. Given

2. <A is congr. to <ECD                          2. Corresponding <s of || lines

3. <B is congr. to <EDC                          3. Corresponding <s of || lines

4. Tr. EAB ~ Tr. ECD                               4. AA Similarity

Answer:

Step-by-step explanation:

Statement                         Reason

AB // CD                              Given

∠BAE ≅ ∠DCE                   Corresponding angles are congruent

∠ABE  ≅ ∠CDE                  Corresponding angles are congruent

ΔEAB ~ ΔECD                     A A Similarity

solve the formula for a
(q&c in picture)

Answers

Answer:

C

Step-by-step explanation:

Subtract Vot from the given equation

s - Vo*t = 1/2 a t^2                Multiply by 2

2(s - Vo*t) = at^2                  Divide by t^2

2(s - Vo*t) / t^2  = a

Looks like C is the answer.


The mass of 5 m' of copper is 44 800 kg. Work out
the density of copper.

Answers

here bro this should help

Basic Cable Company A charges $30 per month plus a setup fee of $75. Basic Cable Company B charges $40 per month, but due to a special promotion is not currently charging a setup fee. Write an equation for each cable company modeling the total cost y for a subscription lasting x months. When is it more economical for a person to choose Basic Cable Company B over Basic Cable Company A

Answers

Answer:

Basic Cable Company A= 30x + 75

Basic Cable Company B= 40x

After 7.5 months, it's more economical to go with Company A. Before 7.5 months, Company B is cheaper

Step-by-step explanation:

SOMEONE HELP ME PLEASE

Answers

Answer:

I D K u tell me

Step-by-step explanation:

this is what u answersed another he/she question repeating u

Answer:

SHEEESSHHHHHHHHHH

Step-by-step explanation: life goes around and around

choose the equation that satisfies the data in the table

Answers

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

See this attachment

option D is correct
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