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
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
what is the square root of 1.5
Answer:
The answer is would be 1.2 or 1.22
A salesperson's daily earnings include $115 per day plus commission equal to x percent (in decimal form) of his daily sales. Write an equation that can be used to find the commission percentage (x), if the sales person's daily sales are $1565 and his total earnings for that day are $240.20.
Answer:
$ 115 + x
Step-by-step explanation:
is it helpful please tell me
1
Find the coordinates of the midpoint of the segment with the given
endpoints. C(3, 5) and D(7,5) *
(5,5)
O (10,10)
O (4,5)
O (5,3)
Answer:
Google mid point formula and plug in your variables
Step-by-step explanation:
hope this helps :)
Simplify 2/4/8 what the awnser
Answer:
2 1/2
Step-by-step explanation:
Write the decimal expansion for 2/9
Answer:
decimal expansion of 2/9 is 0.2222
Answer:
.2222 (repeating)
Step-by-step explanation:
Juanita needed 3 and 1/4 hours to take a standardized test, and Jordan needed 5 and 1/2 hours. How much more time did Jordan need than Juanita to take the test
Answer:
[tex]2\frac{1}{4}[/tex] hours.
Step-by-step explanation:
[tex]5\frac{1}{2}-3\frac{1}{4}=5\frac{2}{4} -3\frac{1}{4} =2\frac{1}{4}[/tex]
Points A, B, and C are collinear. Point B is between A and C. Solve for x if AC = 3x + 3, BC = 3, and AB = 2x + 2.
Answer:
x=2.
Step-by-step explanation:
It is given that points A, B, and C are collinear. Point B is between A and C.
Using segment addition property, we get
[tex]AC=AB+BC[/tex]
It is given that AC = 3x + 3, BC = 3, and AB = 2x + 2.
[tex]3x+3=(2x+2)+3[/tex]
[tex]3x+3=2x+5[/tex]
Isolate variable terms.
[tex]3x-2x=5-3[/tex]
[tex]x=2[/tex]
Therefore, the value of x is 2.
If x powered by 2= 20 what is the value of x ?
Answer:
x = 10
Step-by-step explanation:
10^2= 20, therefore
X=10Answer:
x = ± 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
x² = 20 ( take the square root of both sides )
x = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = ± 2[tex]\sqrt{5}[/tex]
Mr. Richardson has $7,500,000. The tables shows how his investments are distributed. How much does Mr. Richardson have invested, written in scientific notation?
A.1.8×10^6
B.1.8×10^7
C.7.5×10^6
D.7.5×10^7
Question:
Mr. Richardson has $7,500,000. The tables shows how his investments are distributed. How much does Mr. Richardson have invested, written in scientific notation?
Answer:
It is D
Step-by-step explanation:
Because it is d
Answer:
Its C
Step-by-step explanation:
You gotta answer each choice see which makes
7,500,000
A= 1800000
B= ,8,000,000
c= 7,500,000
D= 75,000,000
what is another word for mean?
Answer: ____Average__
Answer:
Other words for mean are cruel, rude, unkind, nasty, and unpleasant.
MARK ME BRAINLIEST!!!
Point K is the midpoint of ¹segment JL
JK = 2x+4
JL=12
Step-by-step explanation:
[tex]2(2x + 4) = 12 \\ 4x + 8 = 12 \\ 4x = 4 \\ x = 1[/tex]
Answer:
why does content bot keep deleting my answers bruhh
Step-by-step explanation:
Which expression is the simplest form of
- (3x^3+x^2) +2 (x^3– 4x^2)?
Answer:
- x³ - 9x²
Step-by-step explanation:
Given
- (3x³ + x² ) + 2(x³ - 4x² ) ← distribute both parenthesis
= - 3x³ - x² + 2x³ - 8x² ← collect like terms
= - x³ - 9x²
The expression in the simplest form is -x³ - 9x².
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is - (3x³ + x² ) + 2(x³ - 4x² ) will be solved as below:-
E = - (3x³ + x² ) + 2(x³ - 4x² )
E = - 3x³ - x² + 2x³ - 8x²
E = - x³ - 9x²
Therefore, the expression in the simplest form is -x³ - 9x².
To know more about an expression follow
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An angle measures 155º. What is the measure of its supplement?
Answer:
25
Step-by-step explanation:
180-155
Please help.
This is very hard to me.
Answer:
Width is 20 inches.
Length is 44 inches.
Step-by-step explanation:
Recall that the perimeter of a rectangle is given by the formula:
[tex]P=2(l+w)[/tex]
Where l is the length and w is the width.
We know that the length is 4 more than double the width. In other words, we can write an equation for l:
[tex]l=4+2w[/tex]
Let's substitute this into the above equation. So:
[tex]P=2((4+2w)+w)[/tex]
Combine like terms:
[tex]P=2(4+3w)[/tex]
We are given that the perimeter is 128 (inches). So, substitute 128 for P and solve for w:
[tex]128=2(4+3w)[/tex]
Divide both sides by 2. The right side cancels:
[tex]64=4+3w[/tex]
Subtract 4 from both sides:
[tex]3w=60[/tex]
Divide both sides by 3:
[tex]w=20[/tex]
Therefore, our width is 20.
We can use the length formula we acquired previously to acquire length. We have:
[tex]l=4+2w[/tex]
Substitute 20 for w:
[tex]l=4+2(20)[/tex]
Multiply:
[tex]l=4+40[/tex]
Add:
[tex]l=44[/tex]
So, our length is 44.
And we width is 20.
And we're done!
Use grouping symbols to make the following equation true.
5 x 4 = 3²-4=4
Answer:
(5 x 4)= (3^2 - 4)= 4
Step-by-step explanation:
(5 x 4)=20,
(3^2 -4)= (9-4)
(20)=(5)=4
20/5=4
4=4
Square root
Determine the square root of 196.
use the calculator and submit your answer below.
Submit
Answer:
14
Step-by-step explanation:
14 x 14 or 14^2
could someone help me with this?
Answer:
The correct answer is 4/-6 which gets me to the same answer as-4/6 which is -2/3.
Answer:
Step-by-step explanation:
-4/6 is equivalent to 4/-6
answer is option 3
can someone help please
Answer:
45 degrees
Step-by-step explanation:
Help needed ASAP will give BRAINLIEST
Answer:
1) I believe the answer is D
Explanation: The square root of 7 is approximately 2.64 which then gets divided by 3 which results in approximately 0.88, then you have to factor in that the problem has only one negative sign; therefore, the answer should be Point D.
Step-by-step explanation:
For the second one turn them into decimals
5/8 = 0.625
2√5 = 4.472
-pi/3 = -1.047
Then rearrange them 2√5, 5/8, -pi/3
What would the exponent be when 9540000 is written in scientific notation?
Answer:
Step-by-step explanation:
9.54 x 10^6
Gina visits her local farm stand to buy apples and oranges to make a fruit salad. She has $10.00 to spend. If she buys only oranges and oranges are $0.34 how much oranges can she buy
Answer:
29 oranges rounding up but the exact answer is 29.41176
Step-by-step explanation:
It would be 29.41176 if you want the answer to be exact. All you're doing is dividing 10.00 ÷ 0.34 and getting 29 oranges :)
Gina can buy 29 oranges for 10 dollars.
What is a decimal ?A decimal is represented by a dot which separates the whole par and the fractional part of a number.
According to the given question Gina visits her local farm stand to buy apples and oranges to make a fruit salad.
She has 10 dollars to spend and she only buys oranges and oranges are 0.34 dollars she can buy (10/0.34) oranges which is
= 29.41. But she can not buy oranges in fractions so the most no. of oranges she can buy is 29.
learn more about decimals here :
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Graph h(x)=4|x +4|+3
Answer:
Step-by-step explanation:
The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of paper saves 17 trees, how many trees are saved when 5,000 pounds of paper are recycled?
Answer:
Set 16/2000 = x/5000 and solve for x. = 40 trees saved.
Step-by-step explanation:
Answer: the answer would be 42.5 but i’m assuming that you would round.
Step-by-step explanation:
2000/ 17 = 5000/ x
cross multiply
85,000 = 2,000x
simplify(divide by 2000)
x= 42.5
Solve the proportions
1.) 5/8 = x/16
2.) x/45 = -50/3
3.) 4/(x+3) = 12/27
Hey there! I'm happy to help!
NUMBER 1
This is a trick to solve any proportion.
Multiply the diagonal numbers.
5(16)=80
Divide by the number that isn't the one you want to find.
90/8=10
And you are left with the number you haven't touched. We haven't touched x, so x=10.
NUMBER 2
Cross multiply.
45(-50)=-2250
Divide.
-2250/3=-750
So x=-750.
QUESTION 3
4(27)=108
108/12=9
So x+3=9, subtract 3 from both sides x=6.
Have a wonderful day! :D
At its highest point, the elevation of a county is 5,764 feet above sea level. At its lowest point, the elevation of the county is 7 feet below sea level. Answer parts a through c. a. Write an expression using integers to represent the difference between the elevations.
Answer:
[tex]Difference = 5757\ feet[/tex]
Step-by-step explanation:
Given
[tex]Highest\ Point = 5764\ feet[/tex]
[tex]Lowest\ Point = 7\ feet[/tex]
Required
Determine the difference between the points
The difference is calculated as follows:
[tex]Difference = Highest - Lowest[/tex]
[tex]Difference = 5764\ feet - 7\ feet[/tex]
[tex]Difference = 5757\ feet[/tex]
To simplify -36 = (2)(3) 2 + 5, we first
divide -36 by 2
multiply the parenthesis
.
evaluate the exponent
O
divide -36 by 6
o
Answer:
Step-by-step explanation:
We use formula of BODMAS we starting by removing blackets by multiply (2)(3)and w get 6 and then by 2 we get 12 and add by 5 we get 17 and cross 17 to -36 and 17 change to -17 and then take -17-36=-53..
-36=(2)(3)2+5
-36=(6)2+5
-36=12+5
-36=17
-17-36
=-53
Answer:
53
Step-by-step explanation:
Plz help ASAP I can't figure this out
Answer:
1/2 * 4/3 = 4/6 and simpliest form 2/3
Step-by-step explanation:
The value of a stock begins at 0.05 and increases by 0.04 each month . Enter an equation representing the value of the stock v in any month m
Answer:
v=0.04m+0.05
Step-by-step explanation:
i'm not sure if this is right since i haven't done math in forever
help pls :((((((((((
Answer:
y = 5
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
10/5y-13=-3
add thirteen to both sides
10/5y=10
multiply both sides by five
10y=50
divide both sides by 10
y=5
