Renata abrió su alcancía y le dijo a Raúl: “Tú tienes muy poco dinero ahorrado, la diferencia entre mi dinero y el tuyo es de $ 490.00 ”. Raúl lecontestó: “Pero si lo juntamos son $ 560.00” ¿Cuánto dinero tiene Renata y cuánto dinero tiene Raúl?

Answer:

6 hours * 3 kilometers = 18 hours

Answer:

m=1/3

Step-by-step explanation:

11m- 4/3=2m+5/3

-2m. - 2m

9m -4/3=5/3

+4/3.+ 4/3

9m= 9/3

m=1/3

Answer:

110°

Step-by-step explanation:

Let the third angle be x. All the angles in a triangle add up to 180°. From the previous statement, we can write the equation:

25° + 45° + x = 180°

70° + x = 180°

x = 110°

Answer:

that as a fraction is 3 and 201 over 500

Answer:

3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction

Step-by-step explanation:

Answer:

x+109°=180 °

x=180°-109°

x=71°

Answer:

2070 / 6930 = 0.2987.....x 100 = 29.87%

Answer:

244 in^2.

Step-by-step explanation:

SA = 2 * 7*2 + 2 * 12*2 + 2 * 12*7

= 28 + 48 + 168

= 244

Answer:

15 days

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

F is the answer because in order to have a right triangle you have to have two of the same lengths and one length that is longer than the two that are the same.

Hope this helps!

Have a good day!

Answer: the answer to this is "C: 1/3"

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Hope this helps and can I get a brainliest since you said you would.

Object 1 travels 5/6 of a foot more per minute than object 2. Thus option (D) is the correct answer.

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The graph is plotted between time and distance.

The distance is represented as 'd'

The time is represented as 't'

The speed is represented as 's'

The formula for speed is given as speed = distance/time

Now consider object 1 :

Distance, d = 105 feet

Time, t = 70 minutes

Now consider object 2 :

Distance, d = 70 feet

Time, t = 105 minutes

Take the ratio of their speeds.

[tex]s1:s2 = \frac{105}{70}:\frac{70}{105}[/tex]

⇒ [tex]s1:s2 = \frac{3}{2}:\frac{2}{3}[/tex]

⇒ [tex]s1:s2= \frac{9:4}{5}[/tex]

Hence we can conclude that object 1 travels 5/6 of a foot more per minute than object 2. Thus option (D) is the correct answer.

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Answer:

35 eighth graders

Step-by-step explanation:

.125 x 280

Answer: 35 students

Step-by-step explanation:

288/36 = 8

256/32 = 8

280/35 = 8

All should have the same factor

Answer:

4 ft

Step-by-step explanation:

Height  = √[5^2 - 3^2]

= √[25 - 9]

= √16  

= 4 ft

Answer:

4ft

Step-by-step explanation:

Answer:

(.4x+7)(.4x-7)

Step-by-step explanation:

Answer:

the correct answer is option C

Answer:

Step-by-step explanation:

The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.

The volume of a prism is the total space occupied by it.

The density of a prism is the mass occupied by the 1 cubic unit volume of the prism. The formula for the density of a prism is:

Density = Mass/Volume

In the question, we are given a triangular prism of height 6cm, width 4cm, and length 10cm. Its density is given as 0.8 g/cm³.

We first find the volume of the prism.

The volume = Area of triangle*length = ((1/2)*6*4)*10 cm³ = 120 cm³.

Let the mass of the prism be m grams.

We know the density of the prism is given by the formula,

Density = Mass/Volume

or, 0.8 = m/120

or, m = 120*0.8

or, m = 96

∴ The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.

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Answer:

( 3, 5.5 )

Step-by-step explanation:

Let,

( x1, y1 ) = ( 7, 3 )

Where,

x1 = 7

y1 = 3

Let,

( x2, y2 ) = ( - 1, 8 )

Where,

x2 = - 1

y2 = 8

Formula : -

Midpoint = ( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Midpoint of AB

= ( - 1 + 7 ) / 2, ( 8 + 3 ) / 2

= 6 / 2, 11 / 2

= ( 3, 11 / 2 )

= ( 3, 5.5 )

Answer:

Number of tile package need = 55 package of tile

Step-by-step explanation:

Given:

Base of parallelogram = 25 feet

Height of parallelogram = 11 feet

Each package of tile cover = 5 square feet

Find;

Number of tile package need

Computation:

Area of parallelogram = Base of parallelogram x Height of parallelogram

Area of parallelogram = 25 x 11

Area of parallelogram = 275 square feet

Number of tile package need = Area of parallelogram / Each package of tile cover

Number of tile package need = 275 / 5

Number of tile package need = 55 package of tile

Answer:

Step-by-step explanation:

r=4 m

slant height l=5 m

surface area=πr²+πrl=πr(r+l)=π×4(4+5)=36 π m²≈113.1 m²

Answer:

The total number of child ticket sold  = 87

The total number of adult ticket sold = 128

Step-by-step explanation:

Given -  The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.

To find - Use an inverse matrix to determine the number of each type of ticket sold .

Proof -

Let the total number of child ticket sold = x

Let the total number of adult ticket sold = y

Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.

⇒x + y = 215

Also,

Given that,  Tickets cost $11 child and $15 per adult, bringing in a total of $2877

⇒11x + 15y = 2877

So,

The equations becomes

x + y = 215

11x + 15y = 2877

So,

The matrix form becomes

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]

By comparing, we get

x = 87

y = 128

So, we get

The total number of child ticket sold = x = 87

The total number of adult ticket sold = y = 128

The basics of Distributive property is

A(B + C) = AB + AC

We can see that its already in the form AB + AC

so lets change to A(B+C)

The factor that can be factored from both is 5

25 + 55 = 5( 5 + 11).

Answer..... 5(5 + 11).

Answer:

The answer is in the picture.

Answer:

Step-by-step explanation:

There are no pics

Answer:

1/6

Step-by-step explanation:

[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]

Answer:

1/6

Step-by-step explanation:

(2/3)(1/4)=2/12=1/6

Answer:

28.9 m

Step-by-step explanation:

30²-8²=900-64= 836

√836 = 28.9 m

The Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Here, Given, length of ladder ( Hypotenuse ) = 30 ft.

Distance from base = 8 ft.

By Pythagoras theorem,

Hypo.² = perp.² + base²

30² = x² + 8²

900 = x² + 64

x² = 900 - 64

x² = 836

x = √836

x = 28.91 ft.

Thus, the Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.

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Answer: 441

Step-by-step explanation: