Camila comprou dois livros para ler nessas férias.
Um deles é de ficção científica e o outro é um romance.
Caso termine os dois livros, ela terá lido 450 páginas nas
férias. Sabe-se que o livro de romance tem 60 páginas
a mais que o livro de ficção científica. Denotando por x
o número de páginas do livro de ficção e por yo número
de páginas do livro de romance, é possível descrever
um sistema linear com duas equações envolvendo xe
y com essas informações.
o gráfico que descreve esse sistema no plano
cartesiano é
Answers
Answer:
I will answer in English.
This can be translated to:
"Camila bought two books to read this vacation. One is science fiction and the other is a novel. If she finishes both books, she will have read 450 pages on vacation. The novel is known to have 60 pages more than the science fiction book. Denoting by x the number of pages in the fiction book and by y the number pages of the novel book, it is possible to describe a linear system with two equations involving x and y with this information. "
First, the datat that we have is:
x + y = 450.
x + 60 = y.
Then we can isolate y in both equations, and have two linear equations:
y = 450 - x
y = x + 60.
Now we can graph those lines, and find the image bellow.
The point where the lines intersect is the solution of the system
We also can find the solution of the system as follows:
y = 450 - x = x + 60
then we can solve this for x.
450 - x = x + 60
2x = 450 - 60 = 390
x = 390/2 = 195
and we know that:
y = x + 60 = 195 + 60 = 255
Then: The science fiction book has 195 pages, and the novel has 255 pages.
A solução para os problemas levantados é:
1. O sistema linear com duas equações envolvendo as informações fornecidas é:
x + y = 450x + 60 = y2. O gráfico que descreve este sistema no plano cartesiano pode ser encontrado como uma imagem anexa.
Obtenção e resolução do sistema de equações.
Levando em consideração que as variáveis atribuídas são:
x = Número de páginas do livro de ficção.y = Número de páginas do livro do romance.A primeira frase menciona que se Camila terminar de ler os dois livros, ela terá lido 450 páginas, portanto, sabemos que a soma das páginas dos dois livros dará um total de 450, e na hora de escrever a equação:
1. x + y = 450Por outro lado, o depoimento diz que o livro de romance tem 60 páginas a mais que o livro de ficção, ou seja, o livro de ficção mais 60 páginas seria igual ao livro de romance, portanto, a equação seria:
2. x + 60 = yAgora, você pode resolver o sistema de equações para ver o valor de x, substituindo a segunda equação na primeira:
x + y = 450x + (x + 60) = 450x + x + 60 = 4502x + 60 = 4502x = 450 - 60x = 390/2x = 195Agora está calculado e com a segunda equação:
x + 60 = y195 + 60 = y255 = yy = 255Desta forma, você pode ver que o livro de ficção científica tem 195 páginas, enquanto o romance tem 255 páginas.
Se você quiser revisar outros exercícios semelhantes com sistemas de equações lineares, pode ver o seguinte link: https://brainly.com/question/17174746?referrer=searchResults
Related Questions
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Answer:
B) Rotation, then Reflection
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
-9
Step-by-step explanation:
X=-9
Step-by-step
Simplifying
3 + -4x = 6x + 93
Reorder the terms:
3 + -4x = 93 + 6x
Solving
3 + -4x = 93 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
3 + -4x + -6x = 93 + 6x + -6x
Combine like terms: -4x + -6x = -10x
3 + -10x = 93 + 6x + -6x
Combine like terms: 6x + -6x = 0
3 + -10x = 93 + 0
3 + -10x = 93
Add '-3' to each side of the equation.
3 + -3 + -10x = 93 + -3
Combine like terms: 3 + -3 = 0
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Combine like terms: 93 + -3 = 90
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Divide each side by '-10'.
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x = -9
Katrina drinks .5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week
Answers
Answer:
8w = 3.5gal
Step-by-step explanation:
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Answers
Answer:
n <= 12/5
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12 >= 5*n
5*n <= 12
5*n/5 <= 12/5
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Answer:
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Answer:
option c
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Answer:
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Answer:
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Answers
What are the answers ?
Answers
Answer:
1:d 2:a 3:a 4:a 5:c 6:a 7:d 8:d 9:a 10:b
Step-by-step explanation:
the coefficients of the expression.
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Answers
-30, 2, -9
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(Including whether its a positive or negative)
Lupe put $12,000 in a certificate of deposit that gained interest at a rate of 6.5%. How much interest did the account gain after 3 months?
Answers
Answer:
$195
Step-by-step explanation:
We use the simple interest formula.
I = Prt
I = Interest
P = Principal (initial value)
r = Interest rate
t = Time (years)
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Plug in the values
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Answer:
195
Step-by-step explanation:
3 month is .25 years
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12000 x .065 x .25 = 195
in new jersey, the highest elevation is 1 803 feet above sea level and the lowest elevation is -2 below the sea level. what is the deficit in the elevation?
Answers
Answer:
803
Step-by-step explanation:
trust your self
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A. 7 hours B. 6 hours C. 5 hours
D. 4 hours
Answers
Answer:
Step-by-step explanation:
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21 mg will be eliminated from our body in an hour
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Simplify by combining like terms: 4g + 6g - 3g
Answers
Answer:
7g is correct answer
Step-by-step explanation:
4g+6g-3g
=10g-3g
=7g
hope it helped you:)
Answer:4g + 6g - 3g = 7g
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Answer:
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Answers
Answer:
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Check:
5+1 = 6
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Write an equation to model the size of his
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Answers
total is 96 and he had 8 packages which means you would have to divide
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Answers
Answer:
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Step-by-step explanation:
What is an exact solution for
[tex]m \sqrt{14} [/tex]
Answers
Answer: Choice B) [tex]\sqrt{14}[/tex]
We have some value m and we're squaring it to get [tex]m^2[/tex]
To undo this and isolate m, we apply the square root to both sides
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WILL GIVE BRAINLIEST!!!
Cassandra rents a bicycle while on vacation.
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What is the slope (m) that is defined by the table?
Explain using 2-3 sentences or show each step.
Answers
Answer:
m = 6
Step-by-step explanation:
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Simply choose 2 points and plug them into the formula to find slope m:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Find the value of √45 × √20
Answers
Answer:
30
Step-by-step explanation:
√45 × √20 = 30
6x - 2 (x + 2) > 2 - 3 (x + 3)
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Answers
Answer:
x>−3/7
Step-by-step explanation:
I hope this helps you
Jason jogs around a circular track at an average rate of 3 laps in 5 minutes. At this rate, how many laps can Jason complete in 35 minutes?
Answers
Answer:
21 laps
Step-by-step explanation:
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hope this helps you ;)
pls give me brainlest :)
Select the correct answer. When Matt rewrote the given expression, he got 18. (36) 1/2 Which statement is correct? Matt rewrote the expression incorrectly. The expression is equivalent to 6. Matt rewrote the expression incorrectly. The expression is equivalent to 9. Matt rewrote the expression correctly. Matt rewrote the expression incorrectly. The expression is equivalent to 1/18
Answers
Answer: Choice A) He wrote it incorrectly. He should have gotten 6.
This is because exponents of 1/2 are the same as square roots.
[tex](36)^{1/2} = \sqrt{36} = 6[/tex]
Matt probably thought it was 36 times 1/2, which may explain how he got 18.
Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.
Given that,
Matt rewrote the given expression, he got 18. [tex](36)^{1/2}[/tex] Which statement is correct is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Since matt made a mistake in his calculation, let correct the calculation and determined what should be the matt mistake.
Simplification
[tex]= (36)^{1/2}\\= (6^2)^{1/2}\\=(6)^{2 * 1/2}\\= 6[/tex]
Thus, Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Please someone answer asap
Answers
Answer:
(-inf,6]
Step-by-step explanation:
What would be the exponent if you put the number 0.00427 into scientific notation?
Answers
Answer
0.00427×10
0.0427
0.0427×10
0.427
0.427×10
4.27×10‐³
