Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?

Answer:

5 and 7

Step-by-step explanation:

Fast and loose: 12 is written as a sum of two odd numbers as 1+11; 3+9; 5+7. The only consecutive pair is 5 and 7

Let's use algebra: let's call 2n+1 the first and 2n+3 the second.

Their sum is 2n+1 +2n+3 = 4n+4 = 12. Thus, n+1=3 and n= 2. It means the 2 numbers are 2x2+1 =5 and 2x2+3 =7

Z = -2

Y = 5

is your answer

Answer:

13

Step-by-step explanation:

k = 12

A= 3

H = 4

So 12-3+4 is 13

Answer:

13

Step-by-step explanation:

Plug in the numbers for the variables.

12-3+4

Then solve in order.

12- 3 = 9

9+4 = 13.

Answer:

The answer would be Nina

Step-by-step explanation:

beth- likes mangos, watermelon, and pineapple

nina- likes watermelon, papayas, pears, pineapple and cherries

juan- likes mangos, papayas and pears

lucy likes watermelon and papayas

abdul- likes mangos, pears and pineapples

( nina has the most amount of fruit liked between everyone else)

so the answer has to be Nina.

Y >= 2X - 5

Step-by-step explanation:

yeah-ya..... right?

Based on the inflation rate and the amount he had at the beginning of the year, Jim will pay an inflation tax of $1,000

Inflation tax refers to the value lost out of the cash holdings that a person has as a result of inflation.

With inflation being 2%, Jim would lose 2% of his cash holdings which translates to:

= Cash holdings x Inflation rate

= 50,000 x 2%

= $1,000

In conclusion, Jim will pay an inflation tax of $1,000.

Find out more at https://brainly.com/question/13724038.

Answer:

[tex]\frac{13}{15}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{2.3}{5.3}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{6}{15}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{13}{15}[/tex]

Answer:

(1/2) and 9/10

Step-by-step explanation:

[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]

Answer:

B

Step-by-step explanation:

5% of 120

= [tex]\frac{5}{100}[/tex] × 120

= 0.05 × 120

= 6

Answer:

C

Step-by-step explanation:

Answer:

38.66

Step-by-step explanation:

Step-by-step explanation:

if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).

the slope is in a line equation always the factor of x.

anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

so, we are simply going from (0, 2) to (5, 3).

x changes by +5 (from 0 to 5).

y changes by +1 (from 2 to 3).

so, the slope is y/x = 1/5.

Answer:

B. [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Answer:

1 gift

Step-by-step explanation:

Cost per gift + delivered cost

Selena       $6x + $18        

Demi           $8x + $16

$8x + $16 = $6x + $18

 $2x - $16 = $18

  $2x = $18 - $16

   $2x = $2

      x = 1

Answer:

61p

Step-by-step explanation:

There are 100 pence in 1 pound, so subtract 39 from 100 to get the change.

Answer:

Circumference of a circle = pi * diameter

[tex]219.8=3.14*d[/tex]

[tex]d=\frac{219.8}{3.14}[/tex]

[tex]d=70[/tex]

Radius = half of diameter

[tex]r=\frac{1}{2} d[/tex]

[tex]r=\frac{1}{2}*70[/tex]

[tex]r=35[/tex]

Area of circle = [tex]\pi r^2[/tex], where r is the radius:

[tex]a=3.14*35^2[/tex]

[tex]a=3846.5[/tex]

If they ran around the track 3 times, they would cover the circumference three times.

[tex]219.8*3=659.4[/tex]

Convert to centimetres:

[tex]659.4*100=65940[/tex]

Answer:

4500

Step-by-step explanation:

Answer:

195,500,000 people.

Step-by-step explanation:

8.5 mil times 23 equals 195,500,000

5/7 of $5,404 is $3088.

Sierra earned $3088 and Gavin earned $2316

Answer:

y = −4x^2 + 4x − 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x + y)^2 = 144

x^2 + y^2 = 80

----

x + y = 12 ---> y = 12 - x

x^2 + y^2 = 80

x^2 + (12-x)^2 = 80

2x^2 - 24x + 64 = 0

x^2 - 12x + 32 = 0

x = 4, x = 8

y = 8, y = 4

============================

x + y = -12 ---> y = -12 - x

x^2 + y^2 = 80

x^2 + (-12-x)^2 = 80

2x^2 + 24x + 64 = 0

x^2 + 12x + 32 = 0

x = -4, x = -8

y = -8, y = -4

-------------

One number is + or -4, the other is + or -8,

and the absolute value of the sum is 12.

Answer:

(4,8);(8,4);(-4,-8);(-8,-4)

Step-by-step explanation:

Ok, let's start writing down the two conditions:

[tex]\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.[/tex]

Mumble.  The second almost look like a square, if only there was the [tex]2xy[/tex] term. Let's add (and subtract, so we aren't creating something new) term to the second:

[tex](x+y)^2-2xy = 80[/tex] But we know what the first term is, it's 144. Let's replace and do some number tricks to get:[tex]144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32[/tex]

At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.

Let's find one pair then. We're tasked to find two numbers that sum to [tex]\sqrt{144} = 12[/tex] and whose product is 32. that is, the root of the polynomial

[tex]z^2+12z+32= (z+4)(z+8)[/tex] (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.

[tex](4,8);(8,4);(-4,-8);(-8,-4)[/tex]

[tex] \: [/tex]

step-by-step explanation

[tex]y = x +2[/tex]

[tex]y = 1x + 1[/tex]

since the equation is written in slope-intercept form y=mxb, identify the slope of the line as the coefficient next to the variable x

[tex]y = 1x + 1 \: ,m = 1[/tex]

[tex]y = 1x + 1 \: ,m = 1 \: ,b = 1[/tex]

so the answer to the equation is

[tex] = m = 1,b = 1[/tex]

[tex] \: [/tex]

#1

[tex]\\ \sf\longmapsto y=x+2[/tex]

Slope intercept form=y=mx+b

On comapring we get

#2

[tex]\\ \sf\longmapsto y+3=\dfrac{-1}{4}x[/tex]

[tex]\\ \sf\longmapsto y=-\dfrac{1}{4}x-3[/tex]

Answer:

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Step-by-step explanation:

First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.

Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.

Part I: Horizontal and Vertical Translations

First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:

Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.

The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:

Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.

Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.

Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Vertical Translations:

if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.

Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Hope this helps, have a nice day/night! :D

If it helped, please mark as brainliest!

Answer:

A C and D are not polynomial

Step-by-step explanation:

that means both functions deliver the same result for the same x.

therefore

x⁵ = x⁷

one solution is of course, x = 0.

the other(s) we get for x<>0 by dividing both sides by x⁵ :

1 = x²

that means we have 2 more solutions (a quadratic equation has 2 solutions, a cubic equation has 3 solutions,...) :

x = 1

x = -1

so, the intersection points are

for x = 0, we get y = 0⁵ (or 0⁷) = 0

for x = 1, we get y = 1⁵ (or 1⁷) = 1

for x = -1, we get y = (-1)⁵ or (-1)⁷ = -1

(-1, -1)

(0, 0)

(1, 1)

The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).

What is Intersection point?

The intersection point is the point at which the two lines are cuts to each other.

Given that;

The equations are,

⇒  y = x⁵

⇒ y = x⁷

Now, Solve for intersection point as;

The equations are,

⇒  y = x⁵

⇒ y = x⁷

Equate both equation to each other, we get;

⇒ x⁷ = x⁵

Subtract x⁵ both sides , we get;

⇒ x⁷ - x⁵ = x⁵ - x⁵

⇒ x⁷ - x⁵ = 0

⇒ x⁵ (x² - 1) = 0

This gives two conditions;

⇒ x⁵ = 0

or, ⇒ x² - 1  = 0

Solve both the equations as;

⇒ x⁵ = 0  

⇒ x = 0

And,  x² - 1  = 0

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

x = 1 or x = -1

Thus, The values of x are 0 , 1 and -1.

So, The intersection points are;

For x = 0; y =  x⁵ = 0

For x = 1; y =  x⁵ = 1

For x = -1; y =  x⁵ = -1

Thus, The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).

Learn more about the intersection point visit:

https://brainly.com/question/15074194

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Answer:

A)60°

B)140°

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

Answer:

the answer is 9.333

Step-by-step explanation:

because if the towel of the width that is 3 feet less so you do 28/3=9.333

Answer:

length = 7 ft

Width = 4 ft

Step-by-step explanation:

length = l

Width = l -3

Area = 28 sq.ft

length *width = 28

l*(l-3) = 28

l*l - l*3 = 28

l² - 3l - 28 =0

l² - 7l + 4l - 28 = 0

l(l - 7) + 4(l - 7) = 0

(l -7) (l + 4) =

l -7 =  0  {Ignore l + 4 = 0 as , it gives a negative value}

l = 7 ft

width = 7 - 3= 4

Answer:

15

Step-by-step explanation:

Answer:

This is the sample answer for plato/edmentum

Step-by-step explanation: