A Rosa le gusta jugar con su primo Eduardo utilizando números. Rosa le planteó encontrar dos números que sumados den 15 y que el doble de uno de ellos sea igual al otro más 3 unidades, ¿De qué números se trata?

Answer:

The solution is the triplet: (a, b, c) = (-3, 0, 0)

Step-by-step explanation:

Let's start with the second equation, and solving for "a":

a - b = -3

a = b - 3

Now replace this expression for a in the third equation:

2 a + b = -6

2 (b - 3) +b = -6

2 b - 6 +b = -6

3 b = -6 +6

3 b = 0

b = 0

So if b = 0 then a = 0 - 3 = -3

now we can replace a= -3, and b = 0  in the first equation and solve for c:

2 a - b + c = -6

2 ( -3) - 0 + c = -6

-6+ c = -6

c = -6 + 6

c = 0

Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)

Answer:

it is A or the first one

Step-by-step explanation:

The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.

Two equation of lines is  given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.

A line can be defined by a shortest distance between two points is called as a line.

Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).

Thus, The graph represents the system  y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.  

learn more about lines here:
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Answer:

1200 bacteria

Step-by-step explanation:

20 hours divided by 10 hours = 2, so it will be doubled two times.

300 times 2 for the first doubling = 600

600 times 2 for the second doubling = 1200

Step-by-step explanation:

Simply you replace X and Y by their values

Given: x=-1 y=-4

10 - (-X)^3 + y^2

=10 + X^3 + Y^2

Now replace X and Y

=10 + (-1)^3 + (-4)^2

=10 - 1 + 16

= 25

Answer: 214

Step-by-step explanation:

The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]

arc EDF measures is 214°

The arc is a portion of the circumference of a circle

The circumference of a circle measures 360°,

Since minor arc EF measures 146°,

arc EDF measures = 360°-146° = 214°

Hence, arc EDF measures is 214°

learn more about arc of circle

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Answer:

d: Routing number

Step-by-step explanation:

To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.

Answer:

102.88 m

Step-by-step explanation:

Pythagorean Theorem:

a²+b²=c²

48²+91²=c²

2304+8281=10585

c²=10585

Square both sides

c= 102.88

How far the players ran:

102.88 m

Answer:A

Step-by-step explanation:

It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!

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Answer:

Its A because you find the slope, -1/3 which is followed by x.  The x intercept is 1 so you do plus one.  Because the line is solid and negative, it makes it a less-than equal to sign.  Hope this helps at all!

Step-by-step explanation:

Answer:

average speed = 8y/s

Step-by-step explanation:

Formula

s = d/t

d = 40 yards

t = 5 seconds

s = 40y/5s

= 8y/s

Answer:

CPCTC

Step-by-step explanation:

You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = b,

where b = y-intercept

The y-intercept is -7, so the equation is

y = -7

Answer:

Y=-7

Step-by-step explanation:

No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).

Answer:

O=on

X=off

OXXOXOX  after 2011 flips.

Step-by-step explanation:

There are many ways to get the answer.

A. Actually flip them 2011 times.

One way is to put 7 cards on the table, and name them A to G, with A,E,C,G facing up, and the other facing down.

Now flip the cards in order A to G 2011 times and find the answer.  

Since you have four days to find the answer, you only have to flip about 500 times a day.

B. Simplify procedure A above.

Do the same as above, actually flip the cards, but only 14 times.

You will find that the cards are restored to the original position after 14 flips.  

If we divide 2011 by 14, we get a quotient of 143 with a remainder of 9.

We know we don't have to make 143 sets of 14 flips.  We only need to make 9!

Then again, we know that after 7 flips, the lights will be all opposite.

If O=on, and X=off then the situations are

OXOXOXO  initial

XOXOXOX  after 7 flips

OXXOXOX  after 9 flips, which is also after 2011 flips, and that is the final answer.

Answer:

The correct option is

x = 10

Step-by-step explanation:

in a circle Given that chord  [tex]\overline {OP}[/tex] is congruent to  [tex]\overline {QR}[/tex], we have;

Measured angle m∠RZQ is congruent to measured angle m∠PZO

Congruent chords are subtended by congruent angles at the center of the circle

Therefore we have;

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°.

Answer:

x=10

Step-by-step explanation:

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°

Answer:

The correct answer is:

[tex]+6x^{2}\\-9y^2[/tex]

Step-by-step explanation:

We are given the term:

[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6 = 9x^{2} -y^{2} +9[/tex]

We have to fill in to the empty spaces such that the above equation gets satisfied.

First of all, let us simplify the LHS (Left Hand Side):

[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6\\\Rightarrow 3x^{2} +5y^{2} +4y^{2} [\text{ \ }] [\text{ \ }] +6 +3\\\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9[/tex]

Now, let us equate the LHS and  RHS (Right Hand Side):

[tex]\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9 = 9x^{2} -y^{2} +9[/tex]

Equating the coefficients of [tex]x^{2}\ and\ y^{2}[/tex] in LHS and RHS:

One box will have value = [tex]9x^{2} -3x^{2} =+6x^{2}[/tex]

Other box will have value = [tex]-y^{2} -9y^{2} =-10y^{2}[/tex]

The correct answer is:

[tex]+6x^{2}\\-9y^2[/tex]

So, if we fill the boxes with above values, the expression will be simplified as given.

Answer:

The correct answer is B. Positive 6 x squared and Negative 10 y squared

Step-by-step explanation:

Answer:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Step-by-step explanation:

Given that:

Radius of the circle, r = 10 cm

Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm

To find:

The error in area of circle = ?

Solution:

First of all, let us have a look at the percentage error in measurement of radius:

[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]

Now, we know that Area of a circle is given as:

[tex]A = \pi r^2[/tex]

[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]

Area according to r = 10

[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]

Now, error in area = 4% of 314 [tex]cm^2[/tex]

[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]

So, the answer is:

12.56 [tex]cm^2[/tex] is the error in area of circle.

Answer:

x^2 - 2x

Step-by-step explanation:

Distribute the x to every term in the parenthesis.

Answer:

x^2 -2x

Step-by-step explanation:

x(x - 2)

Distribute

x*x - 2*x

x^2 -2x

Answer: 69.6 m

Step-by-step explanation:

Sin 55 deg = opposite side/hypotenuse

0.819 = height/string length

0.819 * 85= height

height = 69.6 m

Answer:

Center : (-2, 7)

Radius : 6

Step-by-step explanation:

If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.

Answer:

Step-by-step explanation:

surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²

surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²

surface area of top=10×5=50 cm²

surface area of bottom=10×3=30 cm²

Total surface area=60+200+50+30=340 cm²

Answer:

Step-by-step explanation:

to find the surface area , you need to find the area of each side(face)

top: 5*10=50

the bottom of the shape: 3*10=30

the front face:10*8=80

the sides are trapezoid shapes with:different dimensions:

side :8,12 and eight of 3 ( the shape has 3 faces the same)

area=((12+8)/2)*3= 30 (30*3 faces or sides)

add the numbers: 50+30+80+(30*3)=250 cm^2

I hope it is right and good luck

Answer:

Step-by-step explanation:

Part A:

We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:

                                                       2 - x = 4x + 3

Part B:

In order to solve the equation we need to put the like terms together. So we will add x on each side.

                                                       2 - x = 4x + 3

                                                           +x   +x

So now we get:

                                                           2 = 5x + 3

Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.

                                                           2 = 5x + 3

                                                           -3         -3

So now we get:

                                                           -1 = 5x

Now that the like terms have been combined we need to find out what x alone is so we divide 5 on each side:

                                                           [tex]\frac{-1}{5}[/tex] = [tex]\frac{5x}{5}[/tex]

No we see that:

                                                           x = [tex]-\frac{1}{5}[/tex]

Answer:

x = 136

Step-by-step explanation:

A quadrilateral always has angles that sum to 360.  Thus, 47 + 95 + 82 + x = 360.  Subtract 47, 95, and 82 from each side and get x = 136.

Hope it helps <3

Answer:

I hope it will help you :)

Answer:  125 miles

if you do the math you will get the same answer.

Answer:

800 miles

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

There are 200 people in a cinema- This is our total amount.

25 % of the people are men.

.25 times 200= 50

There are 50 men.

1/5 (20%) of the people are women.

.2 times 200 = 40

There are 40 women.

50+40 = 90

There are 90 adults in the cinema.

If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.

The percentage is 55%.

The simplified fraction is 11/20.

The decimal is .55  

Answer:

4 monetary units

Step-by-step explanation:

In a Poisson distribution, the expected value of the distribution is the same as the mean:

[tex]E(X)=\mu=4\ claims[/tex]

The expected number of warranty claims is 4.

Since each claim results in a payment of 1, the expected value paid by the insurer is:

[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]

The expected total payment on warranty claims is 4 monetary units.

Answer:

it is 13093 i got it correct

Answer:

Step-by-step explanation:

8x² + 7x - 1 = 0

Rewrite 7x as a difference

That's

8x² + 8x - x - 1 = 0

Factorize

8x( x + 1) - ( x + 1) = 0

(8x - 1)( x + 1) = 0

8x - 1 = 0 x + 1 =0

8x = 1 x = - 1

x = 1/8

The solutions are

Hope this helps you

Answer:

Option B

Step-by-step explanation:

The formula for geometric sequence is given by:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] = nth term of sequence

[tex]a_{1}[/tex] = 1st term of the sequence

[tex]r[/tex] = common ratio (ration of the second term to the first term)

So,

Here:

[tex]a_{1}[/tex] = 12

[tex]r[/tex] = 6/12 = 1/2

Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:

=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]

Answer:

F. cylinder

Step-by-step explanation:

A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.

Answer:

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Step-by-step explanation:

In ascending order: (starting from the smallest)

[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]

Answer:

.0604 < .604 < .06< .64 < .6

Step-by-step explanation:

.6= 6/10

.64=.64/100

.06=6/100

.604=604/1000

.0604=604/10000