Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Escribe un sistema de ecuaciones que permita calcular cuántos vehículos de cada tipo traslada el camión. Usa a para representar la cantidad de autos y c para representar la cantidad de camionetas que traslada el camión.

Answers

Answer 1

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

El enunciado es equivalente a un sistema de dos ecuaciones lineales con dos incógnitas. Una ecuación para la cantidad de vehículos trasladados por el camión y otra ecuación para la masa total trasladada:

[tex]a+c = 12[/tex] (1)

[tex]2\cdot a + 3\cdot c = 33[/tex] (2)

Donde:

[tex]a[/tex] - Cantidad de autos.[tex]c[/tex] - Cantidad de camionetas.

El sistema de ecuaciones queda descrita por las siguientes expresiones:

[tex]a+c = 12[/tex]

[tex]2\cdot a + 3\cdot c = 33[/tex]

Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.

Invitamos cordialmente a ver este problema sobre sistemas de ecuaciones: https://brainly.com/question/17174746


Related Questions

Johnny ate seven apples, his bus comes around 3 in the morning, the neighbors dog took a dump on the ground weighing 2.67 kilograms. Whats the mass of the sun??​

Answers

Answer:

mass if the sun is 123

Step-by-step explanation:

I saw the dog take a dump

Please help with this question and if you can explain because I’m confused. - thank you

Answers

y = 32, x = 43

To figure this out, you have to use what you know to find all sorts of measures.

Lets start with the 75 degree angle. We know that the opposite side is a vertical angle, so that is also equal to 75 degrees. Since the angle to the big triangle is a supplementary angle, we know that the sum of 75 degrees and that angle is 180 degrees. Do the math and we get 180 - 75, or 105 degrees. The angles of a triangle always add up to 180, so 105 + 43 + y = 180. Solve for y: [tex]148+y=180=148-148+y=180-148=y=32[/tex]. So y is equal to 32 degrees. Now to find x, we know that the bases of the triangles are parallel, and that there is a line that goes straight from angle y to one of our unknown angles. Because the triangle bases are parallel and the y to unknown line does not change, we can tell that those are the same. So y = unknown angle 1, or 32 = 32. So, we know the measure of one angle. The other unknown angle is vertical to the other angle we found earlier, 105. So, we get 105 + 32 + x = 180. Evaluate: [tex]32+105+x=180=137+x=180=137-137+x=180-137=x=43[/tex]. So x is equal to 43.

i need help finding the product but i have to simplify. it., -w(-2w^2-3w+1)​

Answers

Answer:

I have simplified it to −

2 ^ 3 − 3 ^2 +  

Step-by-step explanation:

Answer:

[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]

Step by Step Solution:

Use the distributive property to multiply – w by – 2x – 3w + 1.

[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]

Multiply −2 and −1 to get 2.

[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]

Multiply −3 and −1 to get 3.

[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]

Multiply w and w to get w².

[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]

Hope It's Help

Please help me ASAP!! And please don’t just answer randomly for points..thanks

Answers

Answer:

46

Step-by-step explanation:

3x3=9

5x7=35

9+35=46

Answer:

44 inches

Step-by-step explanation:

Cut off the pertruding bit of the shape

3inches × 3 inches = 9 inches

5 inches × 7 inches = 35 inches

9 inches + 35 inches = 44 inches

i have to explained it in words pls help

Answers

9514 1404 393

Answer:

slope: cost per miley-intercept: fixed base cost

Step-by-step explanation:

The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.

When the number of miles driven is zero, the rental cost is ...

  y = 2.25×0 +70

  y = 70

The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.

__

If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)

Can you please help I’ll give you points I need help if I can’t pass this I can’t play in my basketball game Sunday

Answers

Answer:

  m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

  ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

  ∠B = ∠Y = (90° -70°) = 20°

  ∠C = ∠Z = 90°

  AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

  BC = YZ = 9.6 cm

  AC = XZ = 3.5 cm

Answer:

 m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

 ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

 ∠B = ∠Y = (90° -70°) = 20°

 ∠C = ∠Z = 90°

 AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

 BC = YZ = 9.6 cm

 AC = XZ = 3.5 cm

a cube has a side length of x^5 cm express the volume of the cube as a power to a power

Answers

Answer:

V = x^15

Step-by-step explanation:

(x^5)^3 = x^15

F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?

(A) 5yards

(B) 7yards

(C) 8yards

(D) 10yards

(E) 17yards

Answers

B 108 = 3 12=4 since the technical answer is 7 yards

SOMEONE HELP ASAPPPPPPPPP PLS WILL MAKE BRAINLEST

Answers

The answer is SAS, since two sides and one angle of one triangle is congruent to the another triangle.

(04.01 LC)

The equations y = −3x + 1 and y = 2x − 4 are shown in the graph.

graph of y equals 2 times x minus 4 and y equals negative 3 times x plus 1

Which is the solution to the system of equations? (1 point)

Group of answer choices

(−2, −1)

(−2, 1)

(−1, −2)

(1, −2)

Answers

Answer:

(1, −2)

Step-by-step explanation:

−3x + 1 = 2x − 4

−5x + 1 = − 4........subtract 2x from both sides

-5x = -5.................subtract 4 from both sides

x  = 1.......................divide both sides by - 5

now that you have x value find y by plugging in the x value in either one of the equations (I'll be using y = -3 +1)

y = -3(1)+1

y = -3+1.............multiply

y = -2................add

m-(-584)=866 simplified

Answers

Answer:

282 thats what i got

Step-by-step explanation:

Answer:

m = 282

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

m + 584 = 866

Step 2: Subtract 584 from both sides.

m + 584 (−584) = 866 (−584)

m = 282

which of the following is the reciprocal of 5

Answers

Answer:

C

Step-by-step explanation:

The reciprocal is always the number flipped over.

E.g. reciprocal of 9 is 1/9 and the reciprocal of 1/9 is 9

Answer:

C. 1/5

Step-by-step explanation:

Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.

Answers

Answer:

13 = 81 x - 89

Step-by-step explanation:

Answer:

81x-79

Step-by-step explanation:

I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.

We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.

=(-3x+5)+(7x-7)*12

=(-3x+5)+84x-84

=81x-79

Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)

Which expression is equivalent to -2v+(-4)+(-3v)? A -5 B 7v C -6v+5 D -5v+ 4

Answers

Answer:

-5v+4

Step-by-step explanation:

Remove the parentheses and combine the like terms:  

-2v + (-4) + 8 + (-3v)

-2v -4 + 8 -3v    [Remove parentheses]

-5v +4                [Combine like terms]

-5v +4      

hi! I need help ! Triangles geometry angles table.

Answers

Answer:  

145°

Step-by-step explanation:  

[Finding the non-label angled in the triangle] 180° - 75° = 105°

 

Finding 3: (x = angle 3)  

[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180  

[combine like terms] 145° + x = 180°  

[subtracting 145 from both sides] 35° = x  

   () We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle

Finding 4: (x = angle 4)  

180 - 35 = 145°

Have a nice day!  

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)  

- Heather

Dylan brought his DVD set of The Sleuth in the Shadows Saga to a secondhand store to sell. He was paid cash for all 4 DVDs in the set. Before he left, Dylan used $16.40 of his earnings to purchase a backpack. He had $3.60 remaining. How much did Dylan receive for each DVD in the set?​

Answers

Answer: 5$

Step-by-step explanation:

In order to get the total, you would need to add the total spen on the backpack and the amount remaining and then you would divide that by 4 ( for all of the DVDs in the set)

angel 1 and angel 2 form a right angle. Writ a conjecture about each value or geometric relationship

Answers

Answer:

it's angle not angel.

Step-by-step explanation:

2.3/2.4 representing slope in proportional relationships

Answers

Answer:

Ok

Step-by-step explanation:

Ok

is this correct? if not what is the correct answer?

Answers

6 soaps comparing to the other 5 = 30 different comparisons:

30 x 2,000 = 60,000

Answer: H. $60,000

6m in the ratio 7:3:5

Answers

Step-by-step explanation:

which one of the 3 categories represent the 6m ?

the 7 ? the 3 ? or the 5 ?

I suspect it is the 3 (the middle), because it is the only one working with 6 using only integer numbers.

you really have to be more careful about putting all relevant information here for a question.

so,

in general, we see that a "whole" set of distance types has 7 + 3 + 5 = 15 parts (in our case equally long distance segments).

the length of the first type (whatever it is) is 7 parts of the whole 15 parts. = 7/15

the length of the second type is 3 parts of the whole 15 parts (and we suspect this type to be 6m). = 3/15

and the length of the third type is 5 parts of the whole 15 parts. = 5/15

since we now know (or rather assume) that 6m = 3 parts, we can then calculate that 1 part of the 15 is 6/3=2m.

aha !

so then 7 parts are 2×7 = 14m.

and 5 parts are 2×5 = 10m

I guess that's what you needed to find, right ?

just to practice : what would it be, if 6m stands for the 7 ?

we still have the 15 parts of the whole.

but now 7 parts stand for 6m.

1 part is then 6/7m.

3 parts would then be 3×6/7 = 18/7m

5 parts would be 5×6/7 = 30/7m

you see now, why I think the 6m were meant for the 3 part category ?

Which of the following represent the same level of precision? Check all that
apply.
A. 90 liters
B. 5.9 liters
C. 13.6 liters
D. 94 liters

Answers

Answer:

I got C&B

Reasoning: just did this test, however the answer might be different for anyone else.

5.9liters and 13.6 liters, and  90 liters and 94 liters represents the same level of precision.

What is precision?

Precision is a number that shows an amount of the information digits and it expresses the value of the number.

Same level of precision refers to degree of significant figures or how many numbers after the decimals.

According to the given question, we have to find the numbers which represent same level of precision.

From the given options,

5.9 liters and 13.6 liters have the same level of precision because there is only one number after the decimal.

And, 90 and 94 have the same level of  precision (no decimal).

Learn more about precision here:

https://brainly.com/question/15276983

#SPJ2

I lowered the points because people were stealing them.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Domain ~

[tex] - 6 \leqslant x \leqslant - 1[/tex]

Range ~

[tex] - 5 \leqslant x \leqslant - 3[/tex]

Domain and range are correct in the other answer. Slope is -2/5 (negative two fifths), and y-intercept is not applicable because the line segment does not cross the y axis, however if you need an answer the line would keep going and would cross the y axis at 5.4 or 27/5 (not sure which form you need)

After solving a series of mathematical problems using a complicated formula, Mark uses the same formula to solve another problem he could have solved using a much simpler formula. Mark's continued reliance on the complicated formula BEST illustrates:

Answers

Answer:

C. mental set

Step-by-step explanation:

A mental set generally refers to the brain's tendency to stick with the most familiar solution to a problem and stubbornly ignore alternatives. This tendency is likely driven by previous knowledge (the long-term mental set) or is a temporary by-product of procedural learning (the short-term mental set).

A rectangle has the area of 60in2 . What can be its dimensions? Copy and fill in the chart.

Answers

Answer:

The dimensions can be 6 inches by 10 inches

Find the perimeter.Simplify your answer.

Answers

Answer:

24x-6

Step-by-step explanation:

To find the perimeter we have to ads all of our sides to together

8x-3+8x-3+4x+4x

Combine light terms

24x-6

2.67 is best classified as a ______________ number.

Fill the blank
Y

Answers

Answer:

rational

Hope this helps!

lmk if it does

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Answers

Answer:

The answer is B final answer becuase its all positive.

I would really like help

Answers

Answer:
3 -25.875
4 -144
5 24

Answer:

[tex] \\ • \: \frac{1}{8} + (2 - 4 \times 7)[/tex]

[tex] \\ = \frac{1}{8} + (2 - 28)[/tex]

[tex] \\ = \frac{1}{8} + ( - 26)[/tex]

[tex] \\ = \frac{1}{8} - 26[/tex]

[tex] \\ = \frac{1 - 208}{8} [/tex]

[tex] \\ = \frac{ - 207}{8} [/tex]

[tex] \\ = - 25 \frac{7}{8} \: \: or \: \: - 25.875[/tex]

[tex] \\• \: 20 \times 3 - 7(8 \times 9)[/tex]

[tex] \\ = 20 \times 3 - 7 \times 72[/tex]

[tex] \\ = 60 - 504[/tex]

[tex] \\ = - 444[/tex]

[tex] \\ • \: 23 - ( \frac{4}{2} ) + 7 - 4[/tex]

[tex] \\ = 23 - 2 + 7 - 4[/tex]

[tex] \\ = 23 + 7 - 2 - 4[/tex]

[tex] \\ = 30 - 6[/tex]

[tex] \\ = 24[/tex]

[tex] \frak {\overbrace{\underbrace{{{hope \: it \: helps}}}}}[/tex]

What is the Slope of the equation y = x - 2

Question 4 options:

1


-2


2


0

Answers

Answer:

1

Step-by-step explanation:

Answer:

The slope for the equations y = x - 2 is answer A - 1

Step-by-step explanation:

Graph attached Below

Hope I helped,

Brainliest is always appreciated.

I'll mark u as brainliest pls help with these 2 questions ​

Answers

Answer:

3, 10

Step-by-step explanation:

1.

5x-1=14 ->

5x=15 ->

x=3.

2.

15+3x=45 ->

3x=45-15=30 ->

3x=30 ->

x=10.

Hope that help! :)

Answer:

1.) x=3

2.)x=10

Step-by-step explanation:

for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14

for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.

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