18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fueron llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras 18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fueron llevadas a la escuela si cada caja de manzanas pesa 7 kg más que una caja de peras?

Answers

Answer 1

Answer:

504 kilos de manzanas fueron llevados a la escuela.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex] la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:

Total de cajas

[tex]x+y = 18[/tex] (1)

Masa de cada caja de peras

[tex]y\cdot m_{P} = 210[/tex] (2)

[tex]y = 6[/tex] (3)

Masa de caja de manzanas

[tex]m_{M} = m_{P}+7[/tex] (4)

De (2) en (3), tenemos que la masa de cada caja de peras es:

[tex]m_{P} = 35\,kg[/tex]

Por (4), encontramos que la masa de cada caja de manzanas es:

[tex]m_{M} = 35\,kg+7\,kg[/tex]

[tex]m_{M} = 42\,kg[/tex]

Finalmente, de (1) tenemos la cantidad de cajas de manzana:

[tex]x = 18-y[/tex]

[tex]x = 12[/tex]

La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:

[tex]M = (12)\cdot (42\,kg)[/tex]

[tex]M = 504\,kg[/tex]

504 kilos de manzanas fueron llevados a la escuela.


Related Questions

If 4x+5=13x+4-x-9 then x= ?

Answers

4x + 5 = 12x -5
10 = 8x
10/8 = x
5/4 = x

Answer:

x = 5/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

4x + 5 = 13x + 4 - x - 9

Step 2: Solve for x

Combine like terms:                    4x + 5 = 12x - 5Subtract 4x on both sides:          5 = 8x - 5Isolate x term:                              10 = 8xIsolate x:                                       5/4 = xRewrite:                                        x = 5/4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9Multiply:                               5 + 5 = 65/4 + 4 - 5/4 - 9Add:                                     10 = 81/4 - 5/4 - 9Subtract:                              10 = 19 - 9Subtract:                              10 = 10

Here we see that 10 does indeed equal 10.

∴ x = 5/4 is the solution to the equation.

Which expression is equivalent to 10 - 3(4x + 8)?

A.
-12x - 14

B.
12x + 14

C.
14 - 12x

D.
-14 + 12x

Answers

Answer:

10-3(4x+8)

=10-12x-24

=-12x-14

The answer is A. -12x-14

equation with variables on both sides: decimals & fractions 4x + 8 = 7.2 + 5x

Answers

Answer:

4x + 8 = 7.2 + 5x

1. 4x - 4x + 8 = 7.2 + 5x - 4x

2. 8 = 7.2 + x

3. 8 - 7.2 = 7.2 - 7.2 + x

4. 0.8 = x

Step-by-step explanation:

Final Answer: [tex]x = 0.8[/tex]

Steps/Reasons/Explanation:

Question: Equation with variables on both sides: decimals & fractions [tex]4x + 8 = 7.2 + 5x[/tex].

Step 1: Subtract [tex]4x[/tex] from both sides.

[tex]8 = 7.2 + 5x - 4x[/tex]

Step 2: Simplify [tex]7.2 + 5x - 4x[/tex] to [tex]7.2 + x[/tex].

[tex]8 = 7.2 + x[/tex]

Step 3: Subtract [tex]7.2[/tex] from both sides.

[tex]8 - 7.2 = x[/tex]

Step 4: Simplify [tex]8 - 7.2[/tex] to [tex]0.8[/tex].

[tex]0.8 = x[/tex]

Step 5: Switch sides.

[tex]x = 0.8[/tex]

~I hope I helped you :)~

Please answer and label
1=
2=
3=
4=
5=
6=
Brainliest if correct

Answers

Answer:

1 is 3/2

2 is 3/50

4 is B

5 is 8/3

6 is B

Step-by-step explanation:

the number of employees went from 7623 to 6824 what percent did this increase or decrease

Answers

Answer:

9.5% decrease

Step-by-step explanation:

answer correctly and i will give brainliest

Answers

Answer:

$25 per month

Step-by-step explanation:

What we know:

3 months of a gym membership costs $75.

6 months cost $150.

To find the unit rate, divided 75 by 3, or 150 by 6.

150/6 = 75/3 = 25/1 = $25 per month

In geometry, components used in deductive reasoning include all the following except:

A.) Postulates
B.) Theorems
C.) Observations
D.) Definitions

Answers

I think is a) postulates :)

Answer:

the answer is observations

Step-by-step explanation:

Friendship’s soccer team purchased uniforms and equipment for a total of $912. The equipment cost $612 and the uniforms cost $25 each. How many uniforms did the school purchase?

Answers

Answer:

12

Step-by-step explanation:

912 - 612 = 300

300 ÷ 25 = 12

The number of uniforms the school purchased based on the given data and equation formation will be $12.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's suppose the school purchase x number of uniforms.

Total cost = equipment cost + x uniforms cost

912 = 612 + 25x

912 - 612 = 25x

25x = 300

x = 12

Hence "The number of uniforms the school purchased based on the given data and equation formation will be $12".

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Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.

Fill in the blank
d = __ s + __
(also to understand better we are doing the equation y = __ x + __ )

Answers

Answer:

I know this is late but the actual answer is d=3s+-50

Step-by-step explanation:

The reason is because he is swimming down, so yeah.

7÷7/11=
Please explain for me

Answers

Answer:

11

Step-by-step explanation:

You have to first make the 7 into a fraction (7/1) then keep, change, flip.

You keep the 7/1 as it is, you change the division sign into a multiplication sign, and you flip the 7/11 to 11/7. You then just multiply straight across to get 77/7 which is the same thing as 11/1 which is the same thing as 11!

Final answer:11

Given a triangle with side lengths of 8 & 23
What is the range of possible lengths of the 3rd
side?

Answers

Answer:

i think it cud be 93 multiply The 3 times

Step-by-step explanation:

i think its that

An aquarium is in the shape of a rectangular prisim. The area of the base of the aquarium is 250 square inches. Which is the volume of the aquarium?​

Answers

Answer: 25

Step-by-step explanation: take the square inches and put it to the side... then multiply how many sides to the number of square inches and you got 25

A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.

Answers

Answer:

$546

Step-by-step explanation:

726 is 1/3. 3/3 is 2178. - 1632= 546.

Use the distance formula to find the distance between the two coordinate point (round to the nearest the third). Coordinates: (-3,-2) and (3,2)

Answers

The distance is 10 units

Find the value of r in the triangle shown below.
X =
50°
41°

Answers

Answer:

89

Step-by-step explanation:

180 - (50 + 41)

180 - 91

89

.ie x= 89

because total sides of triangle = 180 degree

hope this answer helps!!!!

Does the table, graph, or equation represent a linear or nonlinear function? EMERGENCY I need help ​

Answers

Answer:

Nonlinear

Step-by-step explanation:

This is because the x^2. If there are any exponets, the equation would be considered nonlinear.

Hope this helps!

y
A'
What is the pre-image of vertex A' if the image shown
on the graph was created by a reflection across the line
y = x?
8
C'
4
B'
O (10,-2)
O (-10, 2)
O (-2,-10)
O (2, 10)
-8
-4

Answers

Answer: -2/10

Step-by-step explanation:

The pre-image of vertex A' by a reflection across the line y = x is (2, 10).

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

The coordinate of A(10 ,2)

Now, When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.

Then, the pre image of vertex A' is (2, 10).

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Which of the following is NOT a renewable resource?
Animals

Plants

Oil

Clothing

Answers

Answer:

Oil is not renewable because it uses fossil fuels from dinos, which do not exist anymore, so they are limited

Step-by-step explanation:

oil! everything else can be decomposed and reconstructed. oil has a select amount that is available on earth. as it is burned, it cannot be reused or revived

IIIII NEEEEEEED HELLLLLLP

Answers

Answer:

-6 > -x

Step-by-step explanation:

2 < -x/3

Multiply both sides by -3. Flip the sign because we are multiplying by a negative.

Solution:

-6 > -x

What is the least positive integer divisible by each of 1, 3, 5, and 7?

Answers

Answer:

105

Step-by-step explanation:

You need the least common multiple of the 4 numbers. Since 3, 5, and 7 are prime numbers, the answer is their product.

LCM = 3 * 5 * 7 = 105

The least positive integer that is divisible by each of 1, 3, 5, and 7 is 105.

In order to solve the question, we simply have to find the lowest common multiple that is applicable to all the numbers that are given on the question.

In this case, the lowest common multiple can be gotten by multiplying the numbers be high will be:

= 1 × 3 × 5 × 7 = 105

Therefore, the number is 105.

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Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz

Answers

Answer:

.16

Step-by-step explanation:

All you do is double each number by 4.

Answer:

1.6 cups of sugar

Step-by-step explanation:

1 batch=0.4 cups

So if you want 4 batches, you would have to quadruple the amount of sugar

0.4x4=1.6

plz help me with this

Answers

Step-by-step explanation:

numbers 1 4 and 7

HELLLLLLP’!!!!
Suppose f(x)=2x-3 describe how the graph of g compares with the graph of f G(x)=f(x)+11

Answers

Answer:

Step-by-step explanation:

g(x) = 2x - 3 + 11

= 2x + 8.

The graph of g is parallel to the graph of f but f is translated upwards by 8 units.

Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him

Answers

it will cost him 15,539.99

Is the relation shown below a function? Use the graph below to justify your response.

(0, 0), (2, 0), (2, 2), and (3, 4)

Answers

Answer:

yes it is a function there is no graph so I cant justify it

The relation is not a function.

Relations

Relations that are functions will pass the vertical line test

Points

The points are given as:

(0,0), (2,0), (2,2), and (3,4)

Graphs

Next, we plot the points on the graph (see attachment).

From the graph, we can see that a vertical line passes through points (2,0) and (2,2).

Hence, the relation is not a function.

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a company dyes two sizes of rugs a small rug requires 8 hours for dyeing and a medium-sized rug requires 12 hours of dyeing the dryers have to make at least 22 guys ansld that must do it in less than 240 hours let x equal small rugs abd u equal medium rugs state a possible ordered pair solution for the system of inequalities justify mathematically using both inequalities​

Answers

Answer:

C says 8x+12y, but D says 12x+8y, instead of 8x and 12y. The correct answer is C, I guess

Step-by-step explanation:

Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.

I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.

8x+12y≤240, or 12y+8x≤240

HELPPPP... Don't just use my points people

Answers

Answer:

33

Step-by-step explanation:

Solve each equation mentally for x.

x • 7/3 = 1

Your answer must be in the form of a fraction.

Answers

Use Cymath to find your answer.

if p(X)=x²-4x+5, then the value of p(1) is____
a)-1. b)0 c)1 d)2​

Answers

Answer:

[tex]p(x)=x^{2}-4x+5\\p(x)= 1^{2}-4(1)+5\\p(x)=1-4+5\\p(x)=2[/tex]

So 2 is the answer.

Hope this helps :D

Answer:

i think between a or c

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

25

Step-by-step explanation:

180-130=50

50/2=25

Answer:

x = 25 degrees

Step-by-step explanation:

the figure is an isosceles triangle

x + x + 130 = 180

2x + 130 = 180

2x = 180 - 130

2x = 50

x = 25 degrees

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