Ana tiene ahorrados 30 €. Un fin de semana sale al cine con unos amigos y se gasta 7 €, le compra un regalo que le cuesta 12 € a una amiga y paga el billete de tren, que le supone 3 €. Si al llegar a casa su padre le da sus 15 € semanales, ¿cuánto le queda finalmente? (Plantear la solución como una única operación con enteros).

Answer:

34, 15, -4, -23 and -42

Step-by-step explanation:

We are to find the first five sequence

when n = 1

f(2) = f(1) - 19

f(2) = 34 - 19

f(2) = 15

when n = 2

f(2+1) = f(2) - 19

f(3) = f(2) - 19

f(3) = 15 - 19

f(3) = -4

when n = 3

f(3+1) = f(3) - 19

f(4) = f(3) - 19

f(4) = -4 - 19

f(4) = -23

when n = 4

f(4+1) = f(4) - 19

f(5) = f(4) - 19

f(5) = -23 - 19

f(5) = -42

Hence the first five terms  in the arithmetic sequence are 34, 15, -4, -23 and -42

Answer:

The volume of a rectangular prism = V = 140 m³

Step-by-step explanation:

Given:

To Determine:

Using the formula to determine the volume of the prism

V = l × w × h

V = 4 × 5 × 7

V = 140 m³

Therefore, the volume of a rectangular prism = V = 140 m³

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

thank you so much have a great day!!!<3

Step-by-step explanation:

Answer:

1. The sales tax of a sweater = $1.2

2. The sales tax of a purse = $2.25

3. The sales tax of a bicycle =  $8.4

4. The sales tax of a TV = $120

5. The sales tax of a radio = $2.1

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

1. A sweater for $19.99 and a 6% sales tax.

The sales tax of a sweater = 19.99 x 0.06 = $1.2

2. A purse for $45.00 and a 5% sales tax.

The sales tax of a purse = 45 x 0.05 = $2.25

3. A bicycle for $120.00 and a 7% sales tax.

The sales tax of a bicycle = 120 x 0.07 = $8.4

4. A TV for $3000.00 and a 4% sales tax.

The sales tax of a TV = 3000 x 0.04 = $120

5. A radio for $35.00 and a 6% sales tax.

The sales tax of a radio = 35 x 0.06 = $2.1

Therefore, all the required sales tax is given above.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

Answer:

C. Because they have the same slopes and different y-intercepts

Step-by-step explanation:

Answer:

Your answer would be the 3rd one.

Because they have the same slopes and different y-intercepts.

I hope that this is the answer you were looking for!

Have a great day!

The sum of all the angles in a triangle is equal to 180°

Since the given triangle is an isosceles ∆ therefore the angles opposite to the equal sides with also be the same.

now from the diagram: 90° + 2x° = 180°

Therefore x = 45

Answer:

3rd one

Step-by-step explanation:

look t the form x equals up to a diviser

Answer:

False

Step-by-step explanation:linear functions will create a straight line on a graph, exponentials will not.

Answer:

The 3rd answer because each income has an outcome.

Step-by-step explanation:

Answer:

4th option is correct.

Answer:

The third side is 3√6 units.

Step-by-step explanation:

Given that this is a 90° triangle so you can apply Pythagoras Theorem :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]

[tex] {a}^{2} = 90 - 36[/tex]

[tex] {a}^{2} = 54[/tex]

[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

just use theorem pythagoras

Answer:

Step-by-step explanation:

Answer:

For the first picture: m angle t=36 and m angle v=54

For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180

Step-by-step explanation:

For the first picture, you had to do 2x+3x+90=180

We got the 90 from the right triangle.

Then you combine like terms, which was then 5x=90=180

Then, you subtract the 90 from both side, leaving 5x=90

Divide 90 by 5, which gives you x=18

For both the answers, you had to do 2(18) for T and 3(18) for V

The second picture, you did (8y + 1) + (5y + 5)= 136

You combine like terms, which levas you with 13y + 6 = 136

You subtract 6 from both sides, leaving you with 13y= 130

Divide 130 by 13, which is 10 so y=10

You then replace the y for (8y + 1) to 10 and solve

As well as for (5y + 5), you replace the y with 10 and solve

And m angle QRP is 180 because every triangle has a total of 180 degrees

Hope this helped!

Answer:

1 foot = 0.7 secs

Step-by-step explanation:

14 seconds divided by 20 feet = 0.7 seconds per foot descended.

Hope this helps and good luck :)

Answer:  9 ab is the area of the garden.

No scale or dimensions are given, so

Estimating to get a practical, reasonable answer:

Using typical walkway widths to 6 ft, it is reasonable to calculate the area the red triangle to be 486 square feet

and the area of the garden to be about 4400 square feet, rounding up.

OR

Using a metric standard of 2 meters, The area of the red triangle would be 54m²

The area of the garden would be about 500m²

Step-by-step explanation:

The area of the red triangle is [tex]A = \frac{ab}{2}[/tex]  That is assuming that it is a right triangle and side a is the altitude or height of the triangle and side b is the base.  

The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.

Estimating from rough measurements of the triangle and the dimensions of the garden as shown, it appears that the area of the garden is about 18 times the area of the red triangle.

The area of the triangle is half the area of a rectangle with the same side lengths a & b, so 9 ab is a good estimate of the area of the garden.

If  the walkways are the typical 6 foot width found in many public gardens, and the length side b is the about 6 of those widths, and side a is about 4.5 of those widths, we can estimate the altitude to be 27 and the base to be 36 (in the proportion 3:4).

Area of the triangle estimate: A = 36ft × 27ft /2 = 486 square feet

OR

Using a metric standard, estimate  a 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be A = 9m × 12m /2 = 54 m²

The area of the garden would be 9 × 54 = 486m² rounded reasonably to 500m²

Answer: 5400

Step-by-step explanation:The area of the triangle is defined as the product of half the base and the height of the triangle. The area of the triangle = 1/2 x b x h It is given that the length of the sides are as A= 90 B=120 C=150.

So, The area of the triangle = 1/2 x b x h = b x h/2  = 120 x 90/2 = 10800/2 = 5400

Answer:

The distance between points C and D is 5.83

Step-by-step explanation:

We need to find distance between points C and D

Looking at the graph we can find coordinates (x,y) of points C and D

Coordinates of point C are: (-4,3)

Coordinates of point D are: (1,0)

The formula used to calculate Distance is:

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]

Putting values and finding distance between points C and D

[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]

So, the distance between points C and D is 5.83

Answer:

y = 3

Step-by-step explanation:

The equation of a line is;

y = mx + c

Now, when f(0) = 3, it means at x = 0, y = 3.

Thus;

3 = 0 + c

3 = c

Also, f(−6) = 3

Thus;

3 = -6m + 3

6m = 3 - 3

6m = 0

m = 0/6

m = 0

Thus,equation is;

y = c

y = 3

Answer:

x = 8

y = 14

Step-by-step explanation:

It's given in the question,

ΔABC ≅ ΔDEF

Therefore, by the property of congruence,

EF = BC, AB = ED and AC = FD

And m∠E = m∠B

Since, m∠E = m∠B

(6y - 4) = 80

6y = 80 + 4

6y = 84

y = 14

Since, AB = ED

10 = 3x - y

10 = 3x - 14

3x = 24

x = 8

Answer: m

one set of ordered pair

b

(In that order)

Step-by-step explanation: Took the test just now, your welcome.

Answer:

sorry

Step-by-step explanation:

Answer: thats soo ez just do it

Step-by-step explanation:

Answer: C: f(-1)=0

Step-by-step explanation:

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

Isosceles Right

Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.

Answer:

Isosceles Right

Step-by-step explanation:

Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

Answer:

[tex]C.650,000\ pounds[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\No.\ of\ superheroes\ =3\ superheroes\\Weight\ in\ Tons\ 3\ superheroes\ can\ lift\ together=975\ tons.\\Hence,\\As\ we\ know\ that,\\1\ ton=2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=975*2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=1,950,000\ pounds\\Hence,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{Weight\ in\ Pounds\ 3\ superheroes\ can\ lift}{No.\ of\ superheroes}\\[/tex]

[tex]Hence\ by\ substituting\ values,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{1,950,000}{3}= 650,000\ pounds[/tex]

Answer: The cost of each game is $2.50

Step-by-step explanation:

Let's find the equations for each friend:

Friend 1:

Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:

$3 + 3*X

Friend 2:

This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:

$0.50 + 4*X

And we know that both friends pay the exact same amount, then we can write:

$3 + 3*X = $0.50 + 4*X

And solve this for X.

We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:

$3 - $0.50 = 4*X - 3*X

$2.50 = (4 - 3)*X = X

This means the cost of each game is $2.50

Answer:

angle 3=145

Step-by-step explanation:

1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35

if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145

Answer:

a=-39; s=0.75

Step-by-step explanation:

Solve the System of Equations by Substitution.

First, solve one of the equations for a variable. I'll do the 2nd one because it only has one variable.

a+24=-15 -------> a=-39

Now we know what a is just plug it back into the other equation and get s.

[tex]\frac{a-3}{7s} =-8[/tex]

[tex]\frac{-39-3}{7s} =-8[/tex]

[tex]\frac{-42}{7s} =-8[/tex]

Switch the -8 and 7s

[tex]\frac{-42}{-8} =7s[/tex]

Simplify the fraction

5.25=7s

Divide by 7 to isolate the s

0.75=s

Answer:

2)a+24=-15

a=-15-24

a=-39

Step-by-step explanation:

Answer:

733.3

Step-by-step explanation:

The number is

880÷1/5:1/6

880÷(1/5×6)

880÷6/5

880×5/6

440×5/3

2200/3

733.3

Answer:

15,625

Step-by-step explanation:

2h=120m

120/20 = 6

5^6 = 15,625