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

When surrounded by smaller circles, a center circle will appear ________ than if surrounded by larger circles.

Answers

Larger
Extra characters for posting answer

When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.

Perception

Perception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.

Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.

Learn more about perception in https://brainly.com/question/7337201

Which is not a zero of the function?

HELP please AGAIN

Answers

Answer:

2

Step-by-step explanation:

The zeroes of a function, or the x-intercepts, are just where the line intersects the x-axis. For this function, you can see the line intersects the x-axis at these 3 points:

x = -4

x = 0

x = 5

Those 3 are the zeroes of this function. 2 is not one of them, so that is your answer.

what is y= (5x+7) (2x+3) in standard form and identify values of a,b,c

Answers

Answer:

y = (5x+7)(2x+3)

= 10x^2 +14x+15x+21

= 10x^2 +29x+21

a= 10 b=29 c=21

Which answer choice correctly identify the missing information in the problem?

is 23 years old and just graduated from college. He accepted a job as the manager of a amusement park. His major decision was to offer family memberships to the public for $200 a year. The single admission to the amusement park is $25 per family each visit. How many shows can a family see if they have a limited budget?

A) there is no missing information; to find the answer you divided 200 by 25

B) you need to know how many people are in the family

C) you need to know how many times the family will go to the amusement park

D) you need to know the amount of the family budget to solve the problem

Answers

Answer:The  missing information to answer the question: "How many shows can a family see if they have a limited budget?" is the amount of the family budget.

Let's suppose that we know that information and one family has $100. If each visit costs $25 dollars, the family can see:

100/25 =4 shows

So if we do not have this info, we are not going to be able to solve the problem. The correct answer is the letter D!

Step-by-step explanation:

Blue10
Brown15
Green5
Red10
Yellow12

The table shows how many of each color candy came out of a bag. What is the probability of choosing a brown candy?

Answers

15/52 is the probability

Philip Schofield bench presses 200N over a distance of 0.5m. calculate the work done

Answers

Answer:

100J

Step-by-step explanation:

work done = force x distance

                  = 200 x 0.5

                  = 100J

find an equivalent ratio 3:10

Answers

Answer:

The answer is 6:20, 12:40 and 18:60

Answer

15:50

Step-by-step explanation:

3 x 5 = 3 :

10 x 5       10

i hoped this helped lol

I need help with this question

Answers

The answer is in the picture.

Brainliest would be appreciated.

the answer is 0 see the picture below to prove my answer thankyou :)

help me brain pt Part 1

Answers

True answer is collinear points

PLEASE HELP 60 POINTSSSS

Answers

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = [tex]\sqrt{42.25}[/tex] = 6.5 units

Lucy can type 300 words in 5 minutes. How many words can Lucy type in 27 minutes?

Answers

Answer:

1620 words

Step-by-step explanation:

Given,

Number of words Lucy can type in 5 minutes

= 300 words

So,

Number of words Lucy can type in 1 minute

[tex] = \frac{300}{5} \: words[/tex]

= 60 words

Therefore,

Number of words Lucy can type in 27 minutes

= (60 × 27) words

= 1,620 words

Hence, Lucy can type 1620 words in 27 minutes.

If x = 5, find the value of
a) x2
b) (x + 3)^2.

the 2 is meant to be squared

Answers

Answer:

a)since x=5

x²= 5×5

=25

b)(x+3)²

x=5

5+3=8

8²=8×8

=64

☆Answer : x = 5

Soo :

a) x² = 5² = 5•5 = 25

b) (x + 3)² = (5 + 3)² = 8² = 8•8 = 64

how do you even do this?! i’m so confused

Answers

Answer:

D.

Step-by-step explanation:

Pretend the y-axis is a wall, on the left side it is decreasing and on the right it is increasing, so A. and B. aren't correct. C. and D. are left, x<0 means on the left side of the y-axis because x (any number) is less than 0 and on the left side it is decreasing so C. isn't correct so D. is your answer because x>0 means x is greater than 0 so it's on the left side of the y-axis.

I hope this helps!

A aluminum bar 4 feet long weighs 24 pounds. What is the weight of a similar bar that is 3 feet 3 inches long?

A. 29.54 LBS

B. 3 LBS

C. 19.50 LBS

D. 78 LBS

Answers

Answer:

  C.  19.50 lbs

Step-by-step explanation:

3 feet 3 inches is nearly 4 feet, but is a little shorter. That means the weight of the bar will be nearly 24 pounds, but a little less.

It cannot be 29 or 78 pounds, because those weights are more than 24 pounds. It cannot be 3 pounds, because that weight is significantly less. The only viable answer choice is 19.50 pounds.

__

We assume the weight is proportional to the length. Then the weight (w) of the shorter bar will be ...

  w/39 = 24/48 . . . . . weight in pounds/length in inches

  w = 39(24/48) = 39/2 = 19.5

The weight of the shorter bar is 19.5 pounds.

A lines slope is 1/10, and it’s y - intercept is 9 what is its equation in slope intercept form

Answers

Answer:

[tex]y=\frac{1}{10}x +9[/tex]

Step-by-step explanation:

y = mx + b

where m is slope (1/10)

c is y intercept (9)

let r(t) be the rate in gallons per hour at which water enters a tank. what are the units of r'(t)?

Answers

The units of [tex]r'(t)[/tex] are gallons per square hour.

Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.

As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.

Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.

To learn more on dimensional analysis, we kindly invite to check this verified question: https://brainly.com/question/10874167

Find the value of x that makes m//n (2x+20)

Answers

Answer:

20

Step-by-step explanation:

uvuctxtxyvuvigh ufydigifyds6dgbjj

round 87,255 to the nearest ten thousand.

Answers

Answer:

90,000

Step-by-step explanation:

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. What was the temperature 4.5 hours ago ?

Answers

Answer:

10.5 degrees Celsius

Step-by-step explanation:

Answer: 13.5

Step-by-step explanation:

This is because 3x4.5=13.5

find the slope of the line through these pair of points. (17, –6), (–11, 7)​

Answers

☆Answer : (X1, Y1) = (17, -6) (X2, Y2) = (-11, 7)

m = (Y2 - Y1)/(X2 - X1)

m = (7 - (-6))/(-11 - 17)

m = (7 + 6)/(-28)

m = 13/(-28) = -(13/28)

Find the positive root of x^2+2x-35=0 in math Please.

Answers

Answer:

x2+2x−35=0

Step 1: Factor left side of equation.

(x−5)(x+7)=0

Step 2: Set factors equal to 0.

x−5=0 or x+7=0

x=5 or x=−7

Step-by-step explanation:

We have x^2 + 2x - 35 = 0
<=> x^2 - 5x + 7x - 35 = 0
<=> x(x-5) + 7(x-5)=0
<=> (x+7)(x-5)=0
<=> x+7=0 or x-5=0
<=> x = -7 or x = 5

Ok done. Thank to me :>

Alg 2-7_2 BR Trigonometry
To approach the runway, a pilot of a small plane must begin a 5° descent starting from a height of 1732 ff above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach( how far does the airplane have to fly)?

0 3.7 mi
0 3.8 mi
0 0.3 mi
0 19,872.5 mi

Answers

Answer:  Choice B)  3.8 miles

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

Explanation:

Check out the diagram below.

Those pair of 5 degree angles shown are congruent alternate interior angles. We'll use the sine rule to find the hypotenuse x (which is some measurement in feet).

sin(angle) = opposite/hypotenuse

sin(5) = 1732/x

x*sin(5) = 1732

x = 1732/sin(5)

x = 19,872.4713415001 approximately

x = 19,872.5

It's tempting to say that choice D is the final answer. However, the result we just got is in feet, not in miles. To convert from feet to miles, we divide by 5280.

19,872.5 ft = (19,872.5)/5280 = 3.7637 miles

That then rounds to the final answer of 3.8 miles (choice B).

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

Alternatively, you can convert 1732 ft to miles to get roughly 1732/5280 = 0.328 miles. Then you should solve this equation for x

sin(5) = 0.328/x

it should lead you to x = 3.8 miles

Carswell has a spinner with three equal sections labeled Stop, Go, and Wait.
He spins the spinner three times. How many outcomes are in the sample space of the experiment?

Answers

Three sides are Stop ,Go ,Wait

The outcomes are

(Stop,Go,wait)(Stop,Stop,Stop)(Stop,Go,Stop)(Stop, wait,Stop)(Stop,Stop,Wait)(Wait,Stop,Stop)(Go,Stop,Stop)(Go,Go,Go)(Wait,Wait,Wait)

Total Outcomes=3×3=9

A coach purchased a soccer ball for each of his 18 players. If each soccer ball cost $12.99, how much did the coach spend before sales tax was added?

Answers

Answer:

$233.82

Step-by-step explanation:

$12.99 a ball times 18 players (12.99x18) equals 233.82$

What is the slope of the line through points J and L?

Answers

Answer:

Slope: 2/3

Step-by-step explanation:

what is the value of

r t s 100° ​

Answers

Catalog # Size Package Content Price* Qty

BR1400106 6 reactions of 50 µl Reagents for coupled transcription/translation reactions  

€196.00

0

BR1400101 24 reactions of 50 µl Reagents for coupled transcription/translation reactions  

€591.00

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BR1400102 96 reactions of 50 µl Reagents for coupled transcription/translation reactions  

€1,864.00

Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much does she use on 1 pizza. How much does she use on 15 pizzas.

Answers

Answer:

32.5

Step-by-step explanation:

10 ounces is in 4 pizzas so if we want 15 pizzas we need to count up

4 can not fit into 15 so we have to stop at 12 pizzas.

Now we need to add 3 pizzas

:Note: that one pizza is 2.5 of an ounce  out of 10 ounces

so after you add the 3 pizzas you have 15 but that wasnt 4 pizzas so you have 2.5 ounces left over you add those ounces to the 30 you got from the 12 ounces which you have 30 and add it to the ounces left over

2.5 + 30 = 32.5

I WILL GIVE BRAINLIEST!! PLS HELP

Answers

Answer:

Angle PRQ is the same as NRM so therefore one of the three angles for both triangles is the same. Angle QPR and NMR are both 90 degrees and so the last angle must be the same in order for the three angles to be 180 degrees in total.

Step-by-step explanation:

Hope This Helps!!!

What kind of math is this???





???

Which of the following graph shows one,non or infinite solution

Answers

Answer:

No graphs????????????

Step-by-step explanation:

A population of river otters has a population growth rate of 0.2 per year. If the population starts out with 50 individuals and there is no death and no migration, how many individuals would you expect after one year and after two years

Answers

Answer:

1 year= 60

2 year= 72

Step-by-step explanation:

1 year:

There are 50 otters and they grow at a rate of .2 so you multiply 50 by .2 to get 10. Now you just add 50 to 10 because 50 is how much it started as and 10 is how much were born. So the anwser for 1 year is 60.

2 years:

Now you have a start of 60 otters because it is the second year so you multiple 60 by .2 to get 12. Now you add 12 to 60 because the second year started with 60 and 12 were born. SO the anwser is 72.

I hope this helps!

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