Indicate if the two triangles or similar or not similar

Answer: A. x + y = 75 B. She spends 25 minutes running and 50 minutes dancing every day. C. Yes it is.

Step-by-step explanation: B. She spends 25 minutes running and 50 minutes dancing every day, because if she dances for 25 more minutes then she runs then we can minus 25 from 75 which we get 50. Then we take the 50 a divide it by 2 because of the two categories dancing and running. So we know she spends 25 minutes running then 25 minutes dancing but we need to add the 25 minutes to dancing. So she spends 25 minutes running and 50 dancing. C. Yes it is because she already dances for 50 minutes a day so all she needs to do is workout for 10 minutes less so 65 minutes one day.

A system of linear equation consists of multiple linear equations

(a) A pair of linear equations

She dances and runs for 75 minutes.

So:

[tex]\mathbf{x + y = 75}[/tex]

She dances 25 minutes more than she runs.

So:

[tex]\mathbf{y = 25 + x}[/tex]

So, the system of linear equations is: [tex]\mathbf{x + y = 75}[/tex] and [tex]\mathbf{y = 25 + x}[/tex]

(b) The time she spends running every day

Substitute 25 + x for y in [tex]\mathbf{x + y = 75}[/tex]

[tex]\mathbf{x + 25 + x = 75}[/tex]

Subtract 25 from both sides

[tex]\mathbf{2x = 50}[/tex]

Divide both sides by 2

[tex]\mathbf{x = 25}[/tex]

Hence, she spends 25 minutes running

(c) Is it possible to dance 45 minutes each day

We have:

[tex]\mathbf{y = 25 + x}[/tex]

So:

[tex]\mathbf{y = 25 + 45}[/tex]

[tex]\mathbf{y = 70}[/tex]

This means that, she has to spend less minute running and dancing.

Read more about system of equations at:

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Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

Answer:

Linda has ridden 90% of the course

Step-by-step explanation:

To find the percentage the formula is

distance ridden so far/total distance X 100

54/60 X 100

= 0.9 X 100

= 90

=90%

Therefore Linda has ridden 90% of the course.

Answer: 37.07 km

Step-by-step explanation: you would divide 512 by 13.81 to get the answer.

Answer:

Step-by-step explanation:

a) The solution to the transformation of the function is h ( x ) = 4x - 5

b) The reflection of function g ( x ) over y axis is f ( x ) = -x³ + x² + 3x - 1

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as g ( x )

Now , the value of g ( x ) = 4x - 3

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

On transformation of the function by a vertical shift of 2 units , we get

h ( x ) = g ( x ) - 2

Substituting the values in the equation , we get

h ( x ) = 4x - 3 - 2

h ( x ) = 4x - 5

So , the transformed function is h ( x ) = 4x - 5

b)

On reflecting the function g ( x ) over y axis , f ( x ) = g ( -x )

Substituting the value of x as -x in the function , we get

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

So , f ( x ) = -x³ + x² + 3x - 1

Hence , the transformed function is h ( x ) = 4x - 5

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Answer:

A, C ,E

Step-by-step explanation:

Answer:

D. A fee paid to a broker for making a trade

Step-by-step explanation:

Commission in stocks is simply a brokerage fee that is charged when one wants to buy or sell stocks.

It is also known as trading fee and could be charged when buying and selling other investments, like exchange traded funds.

Thus, correct answer is option D.

Answer:

d

Step-by-step explanation:

Answer:

5: letter D

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

,

Answer:

$26.80

Step-by-step explanation:

multiply 1.79 by 5 and you get 8.95

multiply 1.19 by 15 now because there are 15 uncounted bags left and you get 17.85

add together and you get 26.8. she spent 26.8 dollars on candy

5/9 and 11/21

LCM of the denominators is 63

changing their denominators to all have a common denominator of 63:

5(7)/63 = 35/63

11(3)/63 = 33/63

from the above;

5/9 > 11/21.

Answer:

the answer is 2! :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it says each month and i think i saw 35 as the first month so n would go behind it so yea

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the  number of hours she works.

She need to work to earn an  additional $260.

To find:

Number of hours she need to work to earn an  additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

[tex]A\propto t[/tex]

[tex]A=kt[/tex]     ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

[tex]54.60=k(6)[/tex]

Divide both sides by 6.

[tex]\dfrac{54.60}{6}=k[/tex]

[tex]9.1=k[/tex]

Put k=9.1 in (i).

[tex]A=9.1t[/tex]

Substitute A=260 in the above equation.

[tex]260=9.1t[/tex]

Divide both sides by 9.1.

[tex]\dfrac{260}{9.1}=t[/tex]

[tex]28.5714=t[/tex]

[tex]t\approx 29[/tex]

Therefore, she need to work extra about 29 hours to earn an  additional $260.

Answer: 42 in all, 14 of each.

Step-by-step explanation

The color with the least amount of balloons is orange with 14. this means to have an equal amount of balloons for each color, you would need 14 of each color.

Answer:

42

Step-by-step explanation:

Answer:

tarro corto

Step-by-step explanation:

Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.

[tex]h_1[/tex] = Altura del frasco corto

[tex]h_2[/tex] = La altura del frasco alto es el doble que el del frasco corto. = [tex]2h_1[/tex]

[tex]d_1[/tex] = Diámetro del frasco corto

[tex]d_2[/tex] = El diámetro del frasco alto es la mitad del frasco corto = [tex]\dfrac{1}{2}d_1[/tex]

El volumen de un cilindro es [tex]\pi \dfrac{d^2}{4}h[/tex]

La razón de los volúmenes de los frascos es

[tex]\dfrac{V_1}{V_2}=\dfrac{\pi\dfrac{d_1^2}{4}h_1}{\pi\dfrac{d_2^2}{4}h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{d_2^2h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{(\dfrac{1}{2}d_1)^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{\dfrac{1}{4}d_1^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{1}{\dfrac{1}{2}}\\\Rightarrow \dfrac{V_1}{V_2}=2\\\Rightarrow V_1=2V_2[/tex]

El costo del frasco corto por unidad de volumen es

[tex]\dfrac{8000}{V_1}=\dfrac{8000}{2V_2}=\dfrac{4000}{V_2}[/tex]

El costo del frasco alto por unidad de volumen es

[tex]\dfrac{4500}{V_2}=\dfrac{4500}{V_2}[/tex]

[tex]\dfrac{4000}{V_2}<\dfrac{4500}{V_2}[/tex]

Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.

Por lo tanto, deberíamos tomar el frasco corto.

Answer:

6:2

Step-by-step explanation:

simple math ... then u simplify and the answer is 3:1

Answer:

3 oil changes

Step-by-step explanation:

1. Find an equation that represents this word problem: 3000x + 5000 = y

Where y = the # of miles total. y = 250 miles/week * 52 weeks/year = 13000 miles.

2. Solve for x: 3000x + 5000 = 13000   3000x=8000

3. x = 8/3 integer round down x = 2 oil changes, but plus the one after 5000 miles is a total of 3 oil changes that year

Answer:

2x+(-4)-8x(3)-5

Answer:

-22a-9

Step-by-step explanation:

2a+(-4)-3(8a+5)

2a+4-24a-15

2a-24a+4-15

-22a-9

Answer:

Y = x - 4

Step-by-step explanation:

Y = x - 4

if you substitute x for all the x on the table, it will equal to the y on the table

Ex. If x is -1

y = -1 - 4 = -5

Answer:

A

Step-by-step explanation: He slashed across the South destroying farms and land in a scorched Earth tactic, which was really damaging to the South because the land they had was all they had.

It's not B because they didn't need rest, he wasn't sailing North so it's not C, and he didn't have anything to prove himself as a skilled general, he already was a skilled general.

Answer:

6+2x < 10+3x

Step-by-step explanation:

The expression for the teacher is 6+2x

The expression for the principal is 10+3x

To solve put them as 6+2x < 10+3x

Answer:000000 mdmdjdjc

Step-by-step explanation:ok

Answer:

.31

Step-by-step explanation:

Answer:

0.31

Step-by-step explanation:

Answer:

2!

Step-by-step explanation:

Answer: 16.13

Step-by-step explanation: 40 divided by $2.48