Charlotte works at an electronics store as a salesperson. Charlotte earns a 10% commission on the total dollar amount of all phone sales she makes, and earns a 4% commission on all computer sales. Charlotte had twice as much in computer sales as she had in phone sales and earned a total of $162 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Charlotte made and the dollar amount of computer sales she made. Define the variables that you use to write the system.

Answer: p ≤ 85

Step-by-step explanation: The value of p cannot be greater than 85 but can be equal to or less than 85.

Answer:

If Andre plans on staying within his budget, he should choose Apartment 1.

Step-by-step explanation:

Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly

Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly

Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.

If Andre plans on staying within his budget, he should choose Apartment 1.

Respuesta:

20 estudiantes

Explicación paso a paso:

Dejar :

número de estudiantes que firmaron para el clip = x

Número de estudiantes que firmaron para cortometraje = 3x

En el último minuto ;

Se convierte en cortometraje; 3x - 5 y el clip se convierte en; x + 5

Por eso ; la ecuación se convierte en;

x + 5 = 1/2 (3x - 5)

x + 5 = 1,5 x - 2,5

x - 1,5x = - 2,5 - 5

- 0.5x = - 7.5

x = 7,5 / 0,5

x = 15

Por lo tanto ;

Cortometraje: 1/2 (3x - 5)

1/2 (3 (15) - 5))

1/2 (45 - 5)

1/2 (40)

= 20

Por tanto, hay 20 alumnos en cada actividad.

Answer:

(-6,-6)

Step-by-step explanation:

(x,y) becomes (-x,y) when reflected over the x-axis

Answer:

8 maths tests

Step-by-step explanation:

Given data

We are told that in 1/4 hour that is 0.25hour (15 mins) She grades 1 math test

our aim is to find how many maths test she grade in 3 hours (120min)

Hence

in  15 mins she does 1 grading

in 120 mins she does x

cross multiply

15x= 120

divide both sides by 15

x= 120/15

x= 8 maths test

Hence in 2 hours, she can grade 8 maths tests

Given:

The figure of two quadrilaterals.

In [tex]ABCD,AB=18,BC=20,CD=22,AD=24[/tex]

In [tex]EFGH,EF=27,FG=30,GH=34, EH=36[/tex]

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

[tex]\dfrac{AB}{EF}=\dfrac{18}{27}[/tex]

[tex]\dfrac{AB}{EF}=\dfrac{2}{3}[/tex]

Similarly,

[tex]\dfrac{BC}{FG}=\dfrac{20}{30}[/tex]

[tex]\dfrac{BC}{FG}=\dfrac{2}{3}[/tex]

[tex]\dfrac{CD}{GH}=\dfrac{22}{34}[/tex]

[tex]\dfrac{CD}{GH}=\dfrac{11}{17}[/tex]

And,

[tex]\dfrac{AD}{EH}=\dfrac{24}{36}[/tex]

[tex]\dfrac{AD}{EH}=\dfrac{2}{3}[/tex]

Clearly, [tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}[/tex].

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

As a decimal it is 0.45

As a fraction it is 9/20

Hope this helped :T

Substract 9/10

Multiply 9/20

Answer:

yes

Step-by-step explanation:

the formula for area of a trapezoid is 1/2h•(b+b)

so let's plug in the numbers

1/2h•(70)=525

so divide both sides by 70

1/2h=7.5

now divide both sides by 0.5

h=15

so the area is 150.

--HEART IF IT HELPED--

Answer:

It makes more sense to apply the zero product property on x² + 11x + 30 = 0.

Step-by-step explanation:

The zero product property simply states that if ab = 0, then a = 0 or b = 0 or both are zeros.

Given 4x² – 2 = 15, 2x² + 2x – 9 = 0, x² + 11x + 30 = 0, x² + 2x = 119; let's see which of the above is easiest to apply the zero product property.

1. 4x² – 2 = 15

4x² – 2 – 15 = 0

4x² – 17 = 0

It's not so easy to express the result as a product equal to zero.

2. 2x² + 2x – 9 = 0

This is not factorisable easily and can't be expressed as a product equal to zero easily.

3. x² + 11x + 30 = 0

This is factorisable easily. On factorising we have:

x² + 5x + 6x + 30 = 0

(x + 5)(x + 6) = 0. The zero product property can be applied here easily since x = 5 or x = 6 or both.

4. x² + 2x = 119

x² + 2x – 119 = 0

This is not easily factorisable and cannot be expressed easily as a product equal to zero.

Therefore, it makes more sense to apply the zero product property on

x² + 11x + 30 = 0

Answer:

Sydney is 42 years old

Step-by-step explanation:

57 - 15 = 42

Answer:

B. [tex]A(h) =3h^3 -h[/tex]

Step-by-step explanation:

Given is the figure of a trapezoid with following descriptions.

[tex] b_1=2h^2 +2[/tex]

[tex] b_2 =2h^2 +2+ 2h^2-6=4h^2 - 4[/tex]

[tex] height = h[/tex]

Now, by formula of area of trapezoid, we have:

[tex]A(h) =\frac{1}{2} (b_1+b_2)h[/tex]

[tex]A(h) =\frac{1}{2} (2h^2 +2+4h^2 - 4)h[/tex]

[tex]A(h) =\frac{1}{2} (6h^2 -2)h[/tex]

[tex]A(h) =\frac{1}{2} (6h^3 -2h)[/tex]

[tex]A(h) =\frac{1}{2} \times 2(3h^3 -h)[/tex]

[tex]A(h) =(3h^3 -h)[/tex]

[tex]A(h) =3h^3 -h[/tex]

Answer:

n

Step-by-step explanation:

Answer: 91, and 112

Step-by-step explanation: its is by two each time for example in the 7 time tables you see 7, 14, 21, 28 so the number after 14 and 21 is the next number, hope this helped have a good day or night. :)

Answer:

22.50%

Step-by-step explanation:

Rate of return = ( Return on stocks / price at which it is bought) x 100

Return on stocks = (price at which it is sold - price at which it is bought )

Price at which 20 stocks are bought = 20 x 20 = $400

Return = $490 - $400 = $90

($90 / $400) x 100 = 22.50%

Answer:

Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region.

Step-by-step explanation:

New pay = original pay x ( 1 + increase rate)

New pay = 440 x( 1 + 20 %)

New pay = 440 x 1.20

New pay = $528 per week

Answer:

7

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Because if you plot it (-3,-5) is in quadrant 3 and (3,-5) is in quadrant 4 which is a reflection on the y-axis

Answer:

7.425 pints

Step-by-step explanation:

Given that Tamia uses white and blue paint and 1/4 of the amount is white paint then the fraction of blue paint

= 1 - 1/4

= 3/4

Given that the total quantity of paints is 9.9 pints, the number of blue pints used to paint her bedroom walls

= 3/4 * 9.9

= 29.7/4

= 7.425 pints

Answer:

y = -2x + 12

Step-by-step explanation:

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

I will use the first point (1, 10) and the last point (5, 2)

Plug in these values:

(2 - 10) / (5 - 1)

Simplify the parentheses.

= (-8) / (4)

Simplify the fraction.

-8/4

= -2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the last point (5, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -2(5) + b

To find b, multiply the slope and the input of x(5)

2 = -10 + b

Now, add 10 to both sides to isolate b.

12 = b

Plug this into your standard equation.

y = -2x + 12

This is your equation.

Check this by plugging in the other point you have not checked yet (1, 10).

y = -2x + 12

10 = -2(1) + 12

10 = -2 + 12

10 = 10

Your equation is correct.

Hope this helps!

Answer:

[tex]V=868.13\ ft^3[/tex]

Step-by-step explanation:

Given that,

The side length of the base of the pyramid, a = 14.1 ft

The height of the pyramid, h = 13.1 ft

We need to find the volume of the pyramid. The formula for the volume of the square base pyramid is given by :

[tex]V=\dfrac{a^2h}{3}[/tex]

Put all the values,

[tex]V=\dfrac{(14.1)^2\times 13.1}{3}\\\\V=868.13\ ft^3[/tex]

So, the volume of the pyramid is equal to [tex]868.13\ ft^3[/tex].  

Answer:

line segment EF EH EG EI

Step-by-step explanation:

Answer:

The answer is in the explanation

Step-by-step explanation:

I hope this helps you

Answer:

0

Step-by-step explanation:

probably 0, because a normal dice has six sides and the greatest number is 6, therefore you cannot roll a 7

Answer:

-1/3

Step-by-step explanation:

-6+3=-3

2 and -7 is 9

Answer:

the correct answer is B

Step-by-step explanation:

go it right!!!

Answer:

I uploaded a file hosting link for your question!

Here is the link:

bít.ly/botshavenobrains

Step-by-step explanation:

Answer is A

Hope it helped :)

Answer:

It believe its C

Step-by-step explanation:

Terri walked in her own 93rd percentile, while April swam in her own 99th percentile. April is off to a slightly better start.