give an example of proportional reasoning

Answer:

x=2, y=12

STEP BY STEP-

Replace the Y in 2x+3y=40 for X+10, because y=x+10. You now have 2x+3(x+10)=40. Now multiply the X and the 10 by 3, so you have 2x+3x+30=40. Combine like terms to get 5x+30=40. Subtract the 30 on both sides so you get 5x=10. Divide by 5 and that gives you the solution for X (2). Then, plug 2 in for X in the equation y=x+10. You now have Y=2+10. Combine like terms and you get 12, so Y=12.

Sorry that I'm so bad at explaining things

Final answer:

Substitute y = x + 10 into 2x + 3y = 40, simplify to 5x = 10, solve for x, then substitute x into the second equation to find y. The solution is x = 2 and y = 12.

Explanation:

The solution to the system of equations 2x + 3y = 40 and y = x + 10 can be found by substituting the second equation into the first. This is a common method for solving systems of linear equations, which involves elimination and substitution. We substitute y from the second equation into the first to get 2x + 3(x + 10) = 40, which simplifies to 2x + 3x + 30 = 40. After combining like terms, we have 5x = 10, which gives us x = 2. We then substitute x back into the second equation to find y. If x = 2, then y = 2 + 10, which means y = 12.

Answer:

A, B, D, E

Step-by-step explanation:

Got it right on edge

The area of a circle depends on the length of the radius.

A circle is the locus of a point such that its distance from a fixed point known as center is always constant.

Area of a circle = π * radius²

Area of a sector = (central angle / 360) * π * radius²

Hence:

Find out more on circle at: https://brainly.com/question/24375372

Answer:

41 + 43? I think

Step-by-step explanation:

41 + 43 = 84

43 - 41 = 2

Answer:

n > -24  The circle is open. The arrow points right.

Step-by-step explanation:

To solve for n, divide both sides by -2/3.

When you divide an inequality by a negative number, reverse the inequality.

Here < becomes >.

Dividing by a fraction is done by multiplying by its reciprocal.

16 ÷ -2/3 becomes 16 × -3/2.   That's -24.

The open circle means not equal to.

n is all the numbers greater than -24, so the arrow points right.

Answer: b d e

Step-by-step explanation:

Answer: The answer would be at 11:45.

Step-by-step explanation: First I though, if they stoppedd for lunch at 1:20 and they've been doing yard work for 1 hour and 35 minutes, I would subtract. 1 hour taken away from 1:20 would be 12:20. Then, since it would be hard to subtract 35 minutes from 12:20, 35 minutes - 20 minutes = 15 minutes. 12:20 subtract 20 minutes = 12:00. 12:00 - 15 minutes equal to 11:45. I hope this helps. I know this explanation can be confusing but it's the best I can do at the moment.

Answer: 30%

Step-by-step explanation:

Answer:

y-2 = (1/2)(x-4)

Step-by-step explanation:

you already have your slope and points given, just plug them in

** to make things clear, your point (4,2) should be (x1,y1) when you plug into equation

y-2 = (1/2)(x-4)

Answer:

Both are C.

Step-by-step explanation:

16.8 gallons of water is equal to 67.2 quarts and 134.4 pints.

Final answer:

To convert gallons to quarts, multiply the number of gallons by 4, which gives us 67.2 quarts (Option C). To convert gallons to pints, multiply the number of gallons by 8, resulting in 134.4 pints (Option C).

Explanation:

The question pertains to converting units of volume from gallons to quarts and pints. Given that the aquarium has a capacity of 16.8 gallons and knowing that there are 4 quarts in a gallon, we multiply 16.8 by 4 to find the capacity in quarts:

16.8 gallons × 4 quarts/gallon = 67.2 quarts

Next, to find the number of pints, we consider that there are 8 pints in a gallon (since each quart is equivalent to 2 pints, and there are 4 quarts in a gallon). Thus, we multiply:

16.8 gallons × 8 pints/gallon = 134.4 pints

Answer:

[tex]30x^{4} -20x^{3} +15x^{2}[/tex]

Step-by-step explanation:

Simplify using the distributive property.

Answer:

Hey, can you create a clearer question for us to answer please

Step-by-step explanation:

Thanks

:)

Answer:

you're answeris $3,399

Answer:

3,399

Step-by-step explanation:

Answer:

[tex]Q_{2}[/tex] = 3.0

Step-by-step explanation:

[tex]Q_{2}[/tex] represents the median of the data set.

From the box plot the median is the horizontal line inside the box and is positioned at 3.0

Answer:

A= -2,-5

B= -4,-2

C= -2,0

D= 0,-2

Step-by-step explanation:

Answer:

0.57

Step-by-step explanation:

10x0.57=5.7

Answer:

The inter-quartile range is 13. So the answer is C.

Step-by-step explanation:

Answer:

The inter-quartile range is 13. So the answer is C.

Answer:

1000k=m

Step-by-step explanation:

if there is 1 meter for every 1000 kilometers, then .007 times 1000 will equal 7

Answer:

m=0.001k

k=kilometers, m=meters,

Step-by-step explanation:

One thousandth=0.001

0.001 k = 1 m

multiply each side by 7

0.007 k =7 m

Answer:

Step-by-step explanation:

Given that a large rectangle has a length of 16 and width of 12.

A smaller rectangle has length of 4 and width of 3

we know that "If two figures are similar, the the ratio of its areas is equal to the scale factor squared"

From the given scale factor is [tex]\frac{1}{4}[/tex]

Let z be the scale factor

Let x be the area of the smaller rectangle

Let y be the area of the large rectangle

[tex]z^2=\frac{x}{y}[/tex]

Since scale factor is [tex]\frac{1}{4}[/tex] hence  [tex]z=\frac{1}{4}[/tex]

we have [tex]z^2=(\frac{1}{4})^2[/tex]

[tex]=\frac{1}{16}[/tex]

∴ [tex]z^2=\frac{1}{16}[/tex]

Now show that the ratio of the area of the smaller rectangle to the area of the larger rectangle with each options.

a) [tex]\frac{4}{16}[/tex]

[tex]\frac{4}{16}=\frac{1}{4}[/tex]

Compare with  [tex]\frac{1}{16}[/tex] we get,

[tex]\frac{1}{4}\neq \frac{1}{16}[/tex]

b) [tex](\frac{4}{16})^2[/tex]

[tex](\frac{4}{16})^2=\frac{16}{256}[/tex]

[tex]=\frac{1}{16}[/tex]

Compare with  [tex]\frac{1}{16}[/tex] we get,

[tex]\frac{1}{16}=\frac{1}{16}[/tex]

c) [tex]\frac{12}{192}[/tex]

[tex]=\frac{1}{16}[/tex]

Compare with  [tex]\frac{1}{16}[/tex] we get,

[tex]\frac{1}{16}=\frac{1}{16}[/tex]

d) [tex](\frac{4}{12})^2[/tex]

[tex]=\frac{16}{144}[/tex]

[tex]=\frac{1}{9}[/tex]

Compare with  [tex]\frac{1}{16}[/tex] we get,

[tex]\frac{1}{9}\neq \frac{1}{16}[/tex]

e) [tex](\frac{3}{12})^2[/tex]

[tex]=\frac{9}{144}[/tex]

[tex]=\frac{1}{16}[/tex]

Compare with  [tex]\frac{1}{16}[/tex] we get,

[tex]\frac{1}{16}=\frac{1}{16}[/tex]

Answer:

The other individual who answered the question is correct, please give them 5 stars and a thanks.

Step-by-step explanation:

To simplify and clarify, the answers are B, C, E

Answer:

all work is shown and pictured

Answer:

D. $5688

Step-by-step explanation:

good luck

Answer:

Step-by-step explanation:

Decimal numbers

Answer:

Real

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

To figure this out, you must use the triangle inequality theorem. It says that the sum of 2 sides of the triangle should be more than the third side. If you add 8 and 12, you get less than 24 but if you add 12 and 24 or 8 and 24, you will get more. So, there are only 2 triangles! I hope this helps!

Answer:

D

Step-by-step explanation:

Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is

[tex]\frac{BC}{SC}[/tex] = [tex]\frac{AB}{RS}[/tex], substitute values

[tex]\frac{BC}{5}[/tex] = [tex]\frac{9}{3}[/tex] = 3 ( multiply both sides by 5 )

BC = 5 × 3 = 15 → D

Answer:

BC=15, so D

Step-by-step explanation:

First, let's annotate. on line AB, write 9. RS, 3. SC, 5. These are the measurements of lines, not angles. We're trying to find the length of BC, the whole bottom side. Also, all of the little squares represent 90° angles, which means the triangles are also rational.

I REALLY hope this helps. If not, I encourage you to watch videos on dilations/rational triangles.

Answer:

Step-by-step explanation:

hello :

f(x)=(1/5)x

the domain is : D= ℝ =]-∞ ,+∞[ (linair function)

the range is :  E= ℝ =]-∞ ,+∞[ (  f^-1 is linair function)

The equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

Step-by-step explanation:

Given,

x = 8t+3

y= 9t+3

First, convert both the equations in terms of t for comparison.

x = 8t + 3

x - 3 = 8t

t = [tex]\frac{x-3}{8}[/tex]

Similarly,

y = 9t + 3

y - 3 = 9t

t = [tex]\frac{y-3}{9}[/tex]

Now, comparing both equations

[tex]\frac{x-3}{8}[/tex] =  [tex]\frac{y-3}{9}[/tex]

9x -27 = 8y -24

9x - 3 = 8y

or

y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex]

Hence, the equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

Answer:

Both m(x) and p(x) have the same output value at x = 7

Step-by-step explanation:

for two functions m(x) and p(x) we know that the solution to the equation :

m(x)=p(x) is the x-value of the point of intersection of the two curves.

i.e. at this point the output value i.e. the value which is obtained on putting the input value i.e. 'x' is same for the two functions m(x) and p(x).

Hope This Helped

When m(x) = p(x) at x = 7, it implies that both functions produce the same output value at x = 7, representing the equality of the functions.

Both m(x) and p(x) have the same output value at x = 7. When m(x) = p(x) at x = 7, it means that both functions produce the same output value at x = 7. This is the defining characteristic of the statement made.

For a given x value of 7, both m(x) and p(x) will yield an identical result, indicating that they are equal at that specific point. This does not necessarily mean they cross the x-axis, y-axis, or have maximum or minimum values at x = 7, but rather that their outputs are the same at this particular x value.

Therefore, the correct statement about x = 7 when m(x) = p(x) is that both m(x) and p(x) have the same output value at x = 7.

Answer:

just add then all up then divide each of them buy the answer

Step-by-step explanation:

Answer:

350.686

Step-by-step explanation:

Answer:

The circumference of the circle in terms of π is 8π.

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Step-by-step explanation:

The circumference of the circle = 2*π*r

r = radius

r = d/2

r= 8cm/2 = 4cm

π = 3.14

The circumference of the circle = 2π(4)= 8π , so we have:

The circumference of the circle in terms of π is 8π.

Using pi = 22/7, we have:

The circumference of the circle = 2* 22/7 * 4 = 8* 22/7 = 25.14 cm, so we have:

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

Using pi = 3.14, we have:

The circumference of the circle = 2* 3.14 * 4 = 8* 3.14 = 25.12 cm, so we have:

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Here we want to see which statement is correct about a circle with a diameter of 8cm.

The correct options are

We know that for a circle of diameter D:

So our circle of diameter of 8cm has:

And if pi = 22/7, the circumference is:

C = (22/7)*8cm = 25.14cm

Then the correct statements are:

If you want to learn more about circles, you can read:

https://brainly.com/question/11833983

Answer:

El valor de x es igual a 20 o x = 20.

Step-by-step explanation:

Lo primero que se debe saber es que dos ángulos complementarios suman un ángulo recto o 90º.

Supongamos que el valor de un ángulo [tex] \\ \alpha[/tex] y un ángulo [tex] \\ \beta[/tex] valen:

[tex] \\ \alpha = 2x + 10[/tex] [1]

[tex] \\ \beta = x + 20[/tex] [2]

Como la suma de  [tex] \\ \alpha + \beta = 90[/tex] [3]

Entonces

[tex] \\ \alpha + \beta = (2x + 10) + (x + 20) = 90[/tex]

Sumamos los factores comunes entre si:

[tex] \\ (2x + x) + (10 + 20) = 90[/tex]

Para la primera expresión debemos recordar que se suman sólo los coeficientes. Así:

[tex] \\ (2 + 1)x + (10 + 20) = 90[/tex]

[tex] \\ 3x + 30 = 90[/tex]

Para despejar la incógnita x, debemos tener en cuenta que una igualdad no se altera si se suma, se resta, se multiplica o divide un mismo valor a cada lado de ella. Por esta razón, para despejar 3x, lo primero que podemos hacer es sumar -30 a cada lado de la expresión (lo que es igual a restar 30 a cada lado de la misma). Así tenemos:

[tex] \\ 3x + 30 - 30 = 90 - 30[/tex]

[tex] \\ 3x + 0 = 90 - 30[/tex]

[tex] \\ 3x = 60[/tex]

Ahora dividimos cada miembro de la igualdad entre 3 (o multiplicamos cada lado de la igualdad por [tex] \\ \frac{1}{3}[/tex] ):

[tex] \\ \frac{3}{3}x = \frac{60}{3}[/tex]

Como sabemos que:

[tex] \\ \frac{3}{3} = 1[/tex]

Entonces:

[tex] \\ 1*x = \frac{60}{3}[/tex]

[tex] \\ x = \frac{60}{3}[/tex]

[tex] \\ x = 20[/tex]

De esta manera, el valor de x es igual a 20 o x = 20.

Lo anterior lo podemos comprobar considerando las ecuaciones [1], [2] y [3]. Así tenemos que:

[tex] \\ \alpha = 2x + 10[/tex] [1]

Sustituimos x por el valor de 20:

[tex] \\ \alpha = 2*20 + 10 = 40 + 10 = 50[/tex]

[tex] \\ \beta = x + 20[/tex] [2]

Hacemos lo mismo para [2]:

[tex] \\ \beta = 20 + 20[/tex]

[tex] \\ \beta = 40[/tex]

De esta manera:

[tex] \\ \alpha + \beta = 90[/tex] [3]

[tex] \\ 50 + 40 = 90[/tex]