Answer:
1 La longitud de las nuevas cuerdas = 5 metros y 9 metros
2 El costo de las paletas = $ 3
El costo de las gomitas = $ 3
Step-by-step explanation:
1) Sea la primera mitad de la cuerda representada por = a
Deje que la segunda mitad de la parte superior esté representada por = b
a + b = 14 metros
De la pregunta, se nos dice que ok, la mitad es 4 metros más larga que la otra
a = b + 4
Por lo tanto
b + 4 + b = 14 metros
2b + 4 = 14 metros
2b = 14 - 4
b = 10/2
b = 5 metros
a = b + 4
a = 5+ 4
a = 9 metros
Por lo tanto, la longitud de las nuevas cuerdas = 5 metros y 9 metros
2)
Representemos el costo de las paletas = p
Costo de gomitas = g
De la pregunta 2 se nos dice que:
Tu vas a la tienda con un amigo y compras 6 paletas y 2 gomitas. Si tú pagas $ 24
Por tanto: 6p + 2g = 24 ....... Ecuación 1
Tu amigo pide 1 paleta y 10 gomitas. y tu amigo $ 33
p + 10g = 33 ....... Ecuación 2
p = 33 - 10g
Sustituya p por 33 - 10g en la Ecuación 1
6p + 2g = 24 ....... Ecuación
6 (33-10 g) + 2 g = 24
198 - 60 g + 2 g = 24
-58g = 24-198
-58g = - 174
g = -174 / -58
g = $ 3
Para encontrar p
p = 33 - 10g
p = 33 - 10 × 3
p = 33 - 30
p = $ 3
Por lo tant,
El costo de las paletas = $ 3
El costo de las gomitas = $ 3
5^5 mod 7 = 3
5^4 mod 7 = 2
5^3 mod 7 = 6
3 -2 +6 mod 7 = 0
Therefore, 5^5 -5^4 +5^3 mod 7 = 0 and that sum is divisible by 7.
Answer:
a) Upwards
b) x = -1
c) (-1,-9)
d) x intercepts; (2,0) and (-4,0)
y intercept is (0,-8)
Step-by-step explanation:
a) As we can see, the parabola faces upwards
b) To find the axis of symmetry equation, we look at the plot of the graph and see the point through the vertex of the parabola that exactly divides the parabola into two equal parts
The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry
c) The vertex represents the lowest point of the circle here,
As we can see, this is the point through which the axis of symmetry passes through to make a symmetrical division of the parabola
We have the coordinates of this point as
(-1,-9)
d) The intercepts
The x-intercept are the two points in which the parabola crosses the x-axis
We have this point as 2 and -4
The x-intercepts are at the points (2,0) and (-4,0)
For the y-intercept; it is the y-coordinate of the point at which the parabola crosses the y-axis and this is the point (0,-8)
1/6 of the people are not elderly or men
<h3>How to determine the proportion?</h3>
The given parameters are:
Men = 1/2
Elderly = 1/3
The number of people that are not elderly or men are:
People = 1 - Men - Elderly
So, we have:
People = 1 - 1/2 - 1/3
Evaluate
People = 1/6
Hence, 1/6 of the people are not elderly or men
Read more about proportion at:
brainly.com/question/1781657
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Bo teaches 19 classes and Brica teaches 27 classes per week
Step-by-step explanation:
Bo and Brica are yoga instructors
- They teach 46 yoga classes each week
- Brica teaches 11 fewer than twice as many as Bo
We need to find how many classes each instructor teaches per week
Assume that Bo teaches x classes per week
∵ Bo teaches x classes per week
∵ Brica teaches 11 fewer than twice as many as Bo
∵ Twice means times 2 and 11 fewer is - 11
- Multiply x by 2 and subtract 11 from the product
∴ Brica teaches 2x - 11 classes per week
∵ They teach 46 classes per week
- Add the number of their classes and equate the sum by 46
∴ x + 2x - 11 = 46
- Add the like terms in the left hand side
∴ 3x - 11 = 46
- Add 11 to both sides
∴ 3x = 57
- Divide both sides by 3
∴ x = 19
∵ Bo teaches x classes per week
∴ Bo teaches 19 classes per week
∵ Brica teaches 2x - 11 classes per week
∴ Brica teaches 2(19) - 11 = 27 classes per week
Bo teaches 19 classes and Brica teaches 27 classes per week
Learn more:
You can learn more about the linear equations in brainly.com/question/11306893
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