Elevii clasei a IV-a se informeaza despre preturile unor obiecte:3 aparate foto de acelasi fel si un laptop costa 2700lei,iar 5 aparate foto si 2 laptopuri,de acelasi fel ca primele costa,4900lei.Cat costa un aparat foto?Dar un laptop?Prin metoda compaatiei va rog !!!!!!! URGENT !!!!!!

Answers

Answer 1

Laptops are 1200 each and cameras are 500 each.

Using elimination:
3c+l=2700
5c+2l=4900

We will make the coefficients of l the same by multiplying the top equation by 2:
2(3c+l=2700)
6c+2l=5400

Our system is now
6c+2l=5400
5c+2l=4900

Subtract the bottom equation:
6c+2l=5400
-(5c+2l=4900)

We have
1c=500
So each camera is 500.

Substitute that in our original first equation:
3(500)+l=2700
1500+l=2700
1500+l-1500=2700-1500
l=1200

Related Questions

Perpendicular lines AB and CD intersect at point E. If mâˆ AED = x + 20, what is the value of x?
A.) 160
B.) 110
C.) 90
D.) 70

Answers

the answer is D.) 70 because if the lines are perpendicular the the angle would have to equal 90* so 90=x+20

WILL GIVE BRAINLIEST ANSWER!!! PLEASE HELP!!! 12 POINTS!!!!!!!

The formula for the volume, V, of a right rectangular pyramid is one-third its base length, l, times its base width, w, times its height, h. Which of the equations below are equivalent to the formula described?

-----Note: more than one must be used-----

ANSWER OPTIONS:

* l = V over 3hw

* w = V over 3lh

* l = 3V over wh

* h = 3Vl over w

* w = 3V over lh

* h = V over 3lw

Answers

V = 1/3 h l w

h l w = 3V

l = 3V / w h Which is the third choice.

h = 3V / l w

w = 3V / h l - which is the fifth choice

The third and fifth are equivalent to the formula described.

Part 1.] Find the value of x in [tex]4,000( 1.5^{x})=25,000[/tex]. Show your work.

Part 2.] Use the domain {½ , 1, 2, 4, 8} to plot the points on the graph for the given equation. The grid marks represent one unit, the horizontal red line represents the x-axis, and the vertical red line represents the y-axis. [tex]y= log_{2} x[/tex]

Answers

Part 1. First we are going to divide both sides of the equation by 4000:
[tex] \frac{4000(1.5^{x}) }{4000} = \frac{25000}{4000} [/tex]
[tex]1.5^{x} = \frac{25}{4} [/tex]
Now we can use logarithms to bring down the variable:
[tex]ln(1.5^{x} )=ln( \frac{25}{4}) [/tex]
[tex]xln(1.5)=ln( \frac{25}{4}) [/tex]
[tex]x= \frac{ln( \frac{25}{4}) }{ln(1.5)} [/tex]
[tex]x=4.52[/tex]

Part 2. Lets use the domain (x values) to find the range (y values):
[tex]log_{2} (\frac{1}{2})=-1 [/tex]
[tex]log_{2} (1)=0 [/tex]
[tex]log_{2} (2)=1 [/tex]
[tex]log_{2} (4)=2 [/tex]
[tex]log_{2} (8)=3 [/tex]

Finale lets put the points together and draw our graph:

1. J. Cole is a successful Hip-Hop recording artist. He has a record contract that pays him $20,000 a month plus an additional $12 for each album that he sells. Last month he earned $24,800. Write an equation to express the money J. Cole earned last month. Let "x" represent the number of albums.

2. How many albums did J. Cole sell last month?

Answers

Monthly payment = $20,000
Payment per album = $12
Total earned last month = $24,800

Part (a): Expression for money earned last month
Let x be number of albums last month. Then,
Total earning = Fixed payment + Variable payment

That is,
24,800 = 20,000 + 12*x
24,800 = 20,000 + 12x

Part (b): Number of albums last month
This involves solving for x in the expression derived in part (a) above.
24,800 = 20,000 + 12x
24,800 - 20,000 = 12
12x = 4,800
x = 4,800/12 = 400 albums

In this activity, you'll calculate a probability and use it to predict the result of repeating a simple chance-based trial many times.

You are in charge of the casino night game area at a fundraising event. In one of the games, called Odd Odds, the player rolls two six-sided dice. The player gets points if the product of the two numbers rolled is odd. So, success in the game depends on the chances of getting an odd number for the result.

1)Find the number of outcomes in the sample space, n(S), of the trial of this game.

2)List and count all the outcomes for event E, in which the product of the two numbers rolled is odd.

3)Find the probability of getting an odd number. In this case, you will calculate the probability, P(E), of event E, in which the product of the two numbers rolled is odd. Write the probability as a fraction reduced to lowest terms and as a decimal correct to two places.

Answers

Answer:

Step-by-step explanation:

They are saying the player gets points if the PRODUCT of the two numbers rolled is odd not the SUM So the answer should be

(1,3) (1,5) (3,1) (3,3) (3,5) (5,1)(5,3)(5,5) which is 9 out of 36 which would be 1/4 or 0.25

Final answer:

In this activity, the student needs to calculate the number of outcomes in the sample space, list and count the outcomes for event E, and find the probability of getting an odd number.

P(E) = 9/36 = 1/4 = 0.25.

Explanation:

To find the number of outcomes in the sample space (n(S)) of the trial, we need to consider all the possible combinations of rolling two six-sided dice. Since each die has six sides, the total number of outcomes for each die is 6. To find the total outcomes in the sample space, we multiply the outcomes for each die: n(S) = 6 * 6 = 36.

In this game, we are interested in the outcomes where the product of the two numbers rolled is odd. To list and count these outcomes, we need to consider the combinations where one or both of the numbers rolled is odd. By listing all the possible outcomes, we have: (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5). There are 9 outcomes for event E.

To find the probability of getting an odd number, we need to divide the number of outcomes for event E by the total number of outcomes in the sample space. P(E) = 9/36 = 1/4 = 0.25.

Which graph shows a proportional relationship? help!!

Answers

Graph C and D because they make sense

Four bars of soap cost $1.12. What would you pay for 2 dozen bars? (1 dozen=12)

Answers

4 bars = $1.12
Multiply the above equation by 6.
24 bars = $6.72 . . . . . . the cost for 2 dozen bars.

Find the area of the triangle. Round the answer to the nearest tenth.

A.
7.8 square units
B.
8.9 square units
C.
19.3 square units
D.
38.5 square units

Answers

The area of this triangle is 19.25
So the closest answer is C. 19.3

Hope this helps :)

Answer:

19.3 square units .

Step-by-step explanation:

∠D=∠F=52°

Opposite sides of equal angles are equal .

So, DE=EF =6.3

Now sum of all angles of triangle is 180°

So, ∠D+∠F+∠E = 180°

52°+52°+∠E =180°

104°+∠E =180°

∠E =180°-104°

∠E =76°

Now to find the length of DF we will use law of cosines

[tex]c^2=a^2+b^2+2(a)(b) Cos E[/tex]

[tex]DF^2=DE^2+EF^2+2(DE)(EF) Cos E[/tex]

[tex]DF^2=6.3^2+6.3^2+2(6.3)(6.3) Cos 76^{\circ}[/tex]

[tex]DF^2=79.38+79.38 (0.2419)[/tex]

[tex]DF^2=98.582[/tex]

[tex]DF=\sqrt{98.582}[/tex]

[tex]DF=9.9[/tex]

Now we are supposed to find the area of triangle

To calculate the area of given triangle we will use the heron's formula :

[tex]Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where [tex]s = \frac{a+b+c}{2}[/tex]

a,b,c are the side lengths of triangle

Now substitute the values :

[tex]s = \frac{6.3+6.3+9.9}{2}[/tex]

[tex]s =11.25[/tex]

[tex]Area = \sqrt{11.25(11.25-6.3)(11.25-6.3)(11.25-9.9)}[/tex]

[tex]Area = 19.2907[/tex]

Hence the area of the triangle is 19.2907 ≈19.3 square units .

Find two consecutive integers whose product is 24 more than three times the first integer

Answers

x= first integer
x+1= second consecutive integer

Product means multiply, so we'll multiply x by x+1. More than means to add and 3 times is multiplication.

x(x + 1)= 3x + 24
use distributive property to multiply x by everything in parentheses
(x*x) + (x*1)= 3x + 24
x^2 + x= 3x + 24
subtract 3x from both sides
x^2 - 2x= 24
subtract 24 from both sides
x^2 - 2x - 24= 0
factor the expression
(x-6)(x+4)= 0
x-6=0
x=6

x+4=0
x=-4

If x= 6 is the first integer, x+1= 7 is the second integer

If x= -4 is the first integer, x+1= -3 is the second integer

Hope this helps! :)

What is the value of x in the triangle?

Answers

We can use SOH CAH TOA to solve this :)

We’re going to use Cosine because the angle and sides given are Adjacent and Hypotenuse- which goes with the CAH part of SOH CAH TOA.

Cos(18) = x/25

Multiply both sides by 25

25cos(18) = X = 23.776

So x = 23.776 cm

I hope this Helps!

You would multiply the sides of the triange by 25.

And that gives you... x = 23.776 cm

Write two operations in order that you would use to solve the equation 3x - 2=7 then solve the equation

Answers

Here’s how to solve it:
3x = 7 + 2
3x = 9
x = 9/3
x = 3

3x-2=7

You first subtract 2 from both sides, so 2-2=0 & 7-2=5

3x=5

Then you divide 3 from both sides to get “X” alone, 3x/3= 1x (but the the one is invisible so it equal “X”) and then 5/3= 1.66666..

So the answer to this problem is

X=1.6

Let A = 40. If B is complement of A, and C is a supplmenet of B, what is B+C?

A. 60
B. 150
C. 180
D. 210

Answers

Option C: 180
Explanation:
Complementary angles add upto 90 degrees and supplementary angles add to 180 degrees
Given A=40
B = Complement of A =90-40 =50
C = Supplement of B = 180-50 =130
Therefore B+C = 50 +130 =180.

Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle B measures 19 degrees. Find the measure of angle H.

42

19

119

29

Answers

IF triangle ABC is similar to triangle FGH, then angles of this triangles are equal.
Let's find the angle C:
∠C=180-42-19=119
Then ∠H=119
Answer: 119 degrees

Factor x2 – 3x – 28. Identify the values that should be written to complete the X diagram. On the top: On the bottom: On the sides: Rewrite the expression using the numbers on the sides of the X diagram. Use double grouping to factor the four terms. x2 – 3x – 28 =

Answers

x^2 -3x -28
= x^2 -7x +4x -28
= x(x -7) +4(x -7)
= (x +4)(x -7)

-28

-3

-7 and 4

(x-7)(x+4)

Which example best represents balanced forces

Answers

The forces are equal and opposite, the book remains at rest, representing a state of balanced forces.

Balanced forces occur when the net force acting on an object is zero, meaning that the forces are equal in magnitude and opposite in direction. As a result, the object remains in a state of equilibrium and does not accelerate.

One example that best represents balanced forces is:

A book resting on a table.

When a book is placed on a table, it doesn't move because the force of gravity pulling it down (its weight) is balanced by the normal force exerted by the table, pushing the book upward.

To know more about forces here

https://brainly.com/question/13191643

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Sandra got a 3/27 balloon mortgage and her initial payments were $945. She decided to refinance her balloon payment with a 30-year mortgage and her new payments were $937. What is the total financed cost she paid for her house?

Answers

371,340 (APEX) hope this helps.

Sandra got a 3/27 balloon mortgage and her initial payments were $945.

This means Sandra paid $945 per month for 3 years. Total payment made in 3 years = 945*3*12 = $34,020

Later, she decided to refinance her balloon payment with a 30-year mortgage. Her new payments were $937.

Payment made under mortgage = 937 * 30 * 12 = $337,320

The total financed cost she paid for her house = $34020 + $ 337320 = $371340

Hope this helps..!!

Thank you :)

A species of catfish, can generate up to 350 voltsWrite an inequality to represent the amount of electricity generated by the catfish

Answers

catfish≤350 because the catfish cannot generate more than 350 volts.

The inequality to represent the amount of electricity generated by the catfish, which can generate up to 350 volts, is: [tex]\[ 0 \leq E \leq 350 \][/tex] where [tex]\( E[/tex] represents the amount of electricity in volts.

This inequality indicates that the electricity generated by the catfish is at least 0 volts and at most 350 volts. The lower bound of 0 volts is included because the catfish cannot generate negative voltage, and the upper bound of 350 volts is the maximum it can generate.

Melina has 4 sheets of wacky face sticker individually from the sheet. She then divides them evenly into 3 piles to give to friends. How many stickers are in each pile?

Answers

I FOUND YOUR COMPLETE QUESTION IN ANOTHER SOURCE.
SEE THE ATTACHED IMAGE.

For this case what we must do is first find the total number of stickers.
We have then:
(4) * (24) = 96
Then, we must organize the stickers in three piles.
We have then:
(96) / (3) = 32
Answer:
in each pile are 32 stickers

The answer explains how to divide 4 stickers into 3 piles, resulting in 1 sticker each.

To find out how many stickers are in each pile:

Count the total number of stickers = 4 sheets x 1 sticker per sheet = 4 stickers.Divide the total number of stickers evenly into 3 piles: 4 stickers ÷ 3 piles = 1 sticker in each pile.

Serena paid $194.99 for a game system and then bought two equally-priced games. If she spent a total of $284.97, what is the price, p, of one game? Enter your answer in the box.

Answers

$284.97 - $194.99 = $89.98

$89.98 / 2 = $44.99

Serena bought two equally priced game at a price of $44.99 each and the total money spent in buying all three games is $284.97.

Given information:

The price Serena paid for buying the first game is $194.99

The overall price Serena paid for buying three games is $284.97

Let, the price of one of the two equally priced game is [tex]\bold{P}[/tex]

As, the price of second and third game is equal, we can consider the combined price of second and third game.

Thus , the equation formed according to the information given in the question is:

[tex]\bold{194.99+2P=284.97}[/tex]

Solve, the above equation in order to find the price of one game.

[tex]2P=284.97-194.99\\\2P=89.98}\\{P=44.99}[/tex]

Hence, the price of one game in two equally priced game is $44.99

For more information visit:

https://brainly.com/question/13583528

Jordan is 4 feet 8 inches tall, her mother is 5 ft 10 inches tall, how much taller is Jordan's mother than Jordan? Give your answer in feet and inches.

Answers

since it takes 4 in to get to 5 ft from 4ft 8in and another 10 inches to get to 5ft 10in, that give you a total of 14 inches. And there are 12 inches in a foot, So the answer is 1ft 2in.

Jordan's mom is I foot and 2 inches taller than Jordan

The perimeter of an isosceles triangle is 14 cm. One of its sides is twice longer than another of its sides. Find all sides of the triangle.

Answers

An isosceles triangle has 2 equal sides so the 3 sides = a a and b
The side that is twice longer than another side make it equal 2*a.
So the total of the 3 sides would equal 14
4a = 14
So 2 sides = 3.5 and the third side = 7.
3.5 + 3.5 + 7 = 14

Answer:

Step-by-step explanation:

2.8, 5.6, 5.6

f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4 what isf(x)-g(x)

Answers

Answer:
f(x) - g(x) = 4x³ + 2x² + 2x

Explanation:
We are given that:
f(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4

We want to get the value of f(x) - g(x). This means that we will simply subtract g(x) from f(x) as follows:
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - (5x³ - 7x + 4)
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4
f(x) - g(x) = 9x³ - 5x³ + 2x² - 5x + 7x + 4 - 4
f(x) - g(x) = 4x³ + 2x² + 2x

Hope this helps :)

Anybody have a real answer for the question?

Answers

based on the "tangent-chord angle theorem", since the arc made by that chord is 168°, the angle enclosed by both the chord and the arc is half that, namely ∡x is 168/2.

now, notice, ∡y and ∡x are "linear angles", therefore

x + y = 180

y = 180 - x.

John bought 6 dumplings for $3.00.

Let x represent the number of dumplings purchased, and let y represent the total cost.

Graph the line that represents the proportional relationship.

Answers

just make the slope as 1/2 remember rise over run and start at 0

What is the relation between the graphs of f(x)=x^2 and g(x)=x^2+6?

a.
the graph of g(x) is a translation of the graph of f(x) up 6 units
c.
the graph of g(x) is a translation of the graph of f(x) right 6 units
b.
the graph of g(x) is a translation of the graph of f(x) left 6 units
d.
the graph of g(x) is a translation of the graph of f(x) down 6 units

Answers

The answer is letter a

Answer:

I think it is the first one

Step-by-step explanation:

Please give brainliest

If sec a = 5/4 and a is an angle in quadrant iv find the value of cos a

Answers

we know that
sec a = 5/4
sec(a)=1/cos(a)
then
cos (a)=1/sec(a)
cos (a)=1/(5/4)=4/5---> is positive because the function cos is positive in IV quadrant

the answer is cos(a)=4/5

NEED HELP ASAP

What are the restrictions of:
(n^2 -6) / (n^2 -2)

5 and 2
+/- SQRT5 and +/- SQRT2
5 and -2

Answers

What you should see for this case are the values for which the denominator is NOT defined.
We have then that in this case the values are:
(n ^ 2 -2) = 0
Clearing n we have:
(n ^ 2) = 2
n = + / - sqrt (2)
Answer:
the restrictions are:
n = + / - sqrt (2)

Each of two trapezoidal prisms has a volume of 120 cubic centimeters. the prisms have no dimensions in common. give possible dimensions for each prism.

Answers

To answer this question you need to know how to find the volume of a trapezoidal prism. You multiply the area of a trapezoid by the height of the prism. To begin answering this, you can start with 2 different factors of 120. I chose 4 and 6.

If the height of one trapezoid is 4, the area would need to be 30. I wrote out the formula for area of a trapezoid (h (b1+b2)/2) and solved for 30. I multiplied both sides by 2 and saw that I needed a 60 from the sun of my 2 bases and the height of the trapezoid base. I used 2 for the height and 20 and 10 as the 2 bases.

For the second trapezoid, I used 6 as the height of the prism. This left me with 20 as the area. I used the same formula above and found that I needed to get 40. I used 5 as the height of the trapezoid and 1 and 7 as the two base lengths. Hope this helps!!

What is the value of y in the parallelogram below?

Answers

Answer:

The answer is the option B

[tex]23\°[/tex]

Step-by-step explanation:

we know that

In a parallelogram consecutive angles are supplementary

In this problem

[tex]5y\°+65\°=180\°[/tex]

Solve for y

[tex]5y\°=180\°-65\°[/tex]

[tex]y=115\°/5=23\°[/tex]

Answer:

Step-by-step explanation:

just took the test

helppppppppppppppppppppppppppppppp

Answers

You must do in this case is composition of both functions:
a (x) = 3x + 1
b (x) = root (x-4)
Making the composition
b (a (x)) = root ((3x + 1) -4)
Rewriting:
b (a (x)) = root (3x-3)
b (a (x)) = root (3 (x-1))
Answer:
The domain of the function is:
x> = 1
Equivalently:
[1, inf)

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