How do you solve for x and y using substitution?

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

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:

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

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.

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:

yes

Step-by-step explanation:

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:

7

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:

The answer is in the explanation

Step-by-step explanation:

I hope this helps you

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

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:

[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:

It believe its C

Step-by-step explanation:

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

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:

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:

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:

(-6,-6)

Step-by-step explanation:

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

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.

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:

line segment EF EH EG EI

Step-by-step explanation:

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:

-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:

Sydney is 42 years old

Step-by-step explanation:

57 - 15 = 42