MATHEMATICS HIGH SCHOOL

5x+10=10y


How to solve for y

Answers

Answer 1
Answer:

The solution of the given linearequation 5x+10=10y  is  (x)/(2) + 1 = y.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The value of y can be calculated as:

5x+10=10y

Since, the equation is divisible by 5,

So, the equation becomes,

x+2=2y

Divide both sides by 2, to get the value of y

(x)/(2) + 1 = y

Thus, the value of y in the given equation 5x+10=10y  is  (x)/(2) + 1 = y.

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Answer 2
Answer: Divide by 10
So you get 5/10x +1=y
Or 1/5x+1=y

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A circular garden has a circumference of 88 yards. Lars is digging a straight line along a diameter of the garden at a rate of 7 yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for π and round the diameter to the nearest whole number, if necessary.

Answers

Answer:

It will take 4 hours to dig in the garden

Step-by-step explanation:

First we have to calculate the diameter, for this we will use the formula to calculate the circumference of a circle and we will clear the diameter

d = diameter

π = 3.14

c = circumference

c = π * d

d = c / π

d = 88yd / 3.14

d = 28.025yd

round to the nearest whole number

28.025 = 28

d = 28yd

To know how many hours it takes, we divide the diameter by the speed

t = time

v = velocity

t = d / v

t = (28yd) / (7yd/h)

t = 4h

It will take 4 hours to dig in the garden

When a pair of blue jeans is made the leftover denim scraps can be recycled to make stationerypencils and more denim One pound of denim is left after making every five pairs of jeans. How
many pounds of denim would be left from 250 pairs of jeans

Answers

Answer:

50 pounds

Step-by-step explanation:

Order from least to greatest 0.9,7/8,0.86

Answers

.86,  7/8,  .9 is least to greatest

Jadas turtle walked 10 feet then half that length

Answers

Jada's turtle embarked on an intriguing journey, marking its passage with each step. Initially, it took a decisive stride spanning 10 feet. This pivotal moment laid the foundation for the subsequent segment of its expedition.

In a remarkable turn, the turtle chose to halve its preceding distance, taking a path less traveled and demonstrating an innate sense of mathematical intuition.

This deliberate decision to cover half the initial distance carries profound mathematical implications. Halving signifies a division, a fundamental operation in mathematics.

In this context, it exemplifies the concept of fractions and ratios, crucial elements in various mathematical disciplines. By traversing half of the initial 10 feet, the turtle traveled 5 feet, embodying the notion of proportionality and equivalence. This action aligns with the mathematical principle that dividing a quantity by 2 results in equal parts, illustrating balance and harmony.

Moreover, this scenario offers a valuable lesson in geometry, emphasizing spatial understanding. The turtle's journey can be visualized geometrically, with the initial 10-foot distance representing a line segment. Halving this segment creates two distinct yet symmetrical parts, showcasing the concept of geometric symmetry.

Understanding symmetry is fundamental not only in geometry but also in various branches of science and art, underscoring the turtle's unintentional yet profound contribution to these fields.

Furthermore, the turtle's expedition is symbolic of mathematical recursion, a concept prevalent in various mathematical problems and computer science algorithms. Recursive processes involve breaking a problem into smaller, similar subproblems.

In this case, the turtle repeatedly divides its path by 2, creating a recursive sequence of distances. Recursive thinking is a cornerstone of problem-solving, highlighting the turtle's journey as a metaphor for tackling complex challenges by breaking them down into manageable steps.

In essence, Jada's turtle, with its seemingly simple journey, encapsulates fundamental mathematical concepts such as fractions, ratios, geometry, symmetry, and recursion. Its measured steps echo the principles that underpin a wide array of mathematical phenomena, demonstrating the interconnectedness of mathematics with the world around us.

Through this tale, the turtle becomes not just a traveler but a mathematical muse, inspiring contemplation and understanding of the intricacies of the numerical world.

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What is the product? Express the answer in lowest terms.2Two and three-fourths times one-half

1.One and one-eighth
2.One and three-eighths
3.Two and one-eighth
4.Two and three-eighths

Answers

Answer:

The Answer is One and Three Eighths

Step-by-step explanation:

Good Luck! Sorry this Answers late but other people can use it :)

Answer:

I dont get what you are asking can you put more detail for what you want the answer to be please

Step-by-step explanation:

Express as a single fraction in its simplest form (3)/(x+2) + (4)/(x-3)

Answers

D:x+2\neq0\to x\neq-2\ and\ x-3\neq0\to x\neq3\n\n(3)/(x+2)+(4)/(x-3)=(3(x-3))/((x+2)(x-3))+(4(x+2))/((x+2)(x-3))=(3(x)+3(-3)+4(x)+4(2))/((x)(x)+(x)(-3)+(2)(x)+2(-3))\n\n=(3x-9+4x+8)/(x^2-3x+2x-6)=\boxed{(7x-1)/(x^2-x-6)}
(3)/(x + 2) + (4)/(x - 3) = (3(x - 3))/((x + 2)(x - 3)) + (4(x + 2))/((x + 2)(x - 3)) = (3x - 9)/(x^(2) - x - 6) + (4x+ 8)/(x^(2) - x - 6) =(7x -1)/(x^(2) - x - 6)
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