A train travels 558 miles in 3 hours. At this rate, how far does the train travel per hour?

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

x(2•x)= 4•5•y

Expand brackets,

2x•x²=20•y

Multiply.

2x³ = 20y

Divide both sides by 2.

x³ = 10y

Take cube root.

x = ∛10y

2x³ = 20y

Divide 20 on both sides.

1/10x³ = y

Answer:

[tex] y = \frac{ {x}^{3} }{10} [/tex]

Step-by-step explanation:

[tex]x(2 \times x) = 4 \times 5 \times y \\ 2x \times {x}^{2} = 20y \\ 2 {x}^{3} = 20y \\ \frac{ 2{x}^{3} }{20} = \frac{20y}{20} \\ y = \frac{ {x}^{3} }{10} [/tex]

because there are 5 tires available and only 4 tires are used at a time each tire travels 4/5 of the distance

 lets use 1000 km for example:

 1000/5 = 200 km

The first  200 km we use tires 1, 2, 3, 4
The second 200 km we use tires 1, 2, 3, 5
The third  200 km we use tires 1, 2, 5, 4
The fourth 200 km we use tires 1, 5, 3, 4
The fifth  200 km we use tires 5, 2, 3, 4

 breaking it into 5ths you can see each tire is used 4/5 of the time

so: 30000 x 4/5 = 24000 km on each tire

The cost of the beans per pound will be $7.9.

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 that Josiah paid $19.75 for 2.5 pounds of coffee beans. The cost per pound will be calculated as below:-

Cost = 19.75 / 2.5

Cost = $7.9

Therefore, the cost of the beans per pound will be $7.9.

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Answer & Step-by-step explanation:

To multiply two fractions you have to multiply the numerators and the denominators.

1/2 × 5/8 = 5/16

3/5 × 5/9 = 15/45 = 1/3

3/8 × 2/5 = 6/40 = 3/20

to make mixed numbers improper fractions, you have to multiply the denominator by the whole number and then add the numerator to it. So the new number becomes the numerator while the denominator stays as the denominator.

2 3/8 × 16= 19/8 *16/1 = 38

If the numerator of the one fraction is the same as the denominator as the other fraction, they cancel out.

1 4/5 × 5/12 = 9/5 × 5/12 = 9/12

1 2/10 × 5 = 12/10 × 5/1 = 60/10 = 6

Hope this helps!!!

The value of the fraction varies in nature that's why the value of the product got decreased and increase.

Fraction is defined as the number of compositions that constitute the Whole.

here,
Case 1, when the value of the fraction is greater than 1, the value will increase when multiplied with a certain value.

Case 2 , when the value of the fraction is less than 1, the value will decrease when multiplied by a certain value.

Thus, the value of the fraction varies in nature that's why the value of the product got decreased and increase.

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Answer:

The answer is 33 bouncy balls in each machine

Step-by-step explanation:

In order to determine the answer, we need to divide every bouncy ball bags by two. The information about the amount of balls in every bag is:

bag 27 mm= 180 balls

bag 40 mm= 80 balls

The bag of 27 mm has an even amount of balls, so if we divide it by two, there will be 90 balls in each machine.

The bag of 40 mm has an even amount of balls, so if we divide it by two, there will be 40 balls in each machine.

Finally, considering the division in every bag, each machine has 130 balls.

Answer is b or the second option

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

- Put x=0, you would get the y-intercept, so you got one point which would be (0,#)

- Put y=0, you got where the graph would touch\cross\intersect the x-axis, and the other point is (#,0)

As per linear equation, the value of 'm' is 16.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

Given linear equation is

[tex]2m - 13 = m+3[/tex]

⇒ [tex]2m - m = 3+13[/tex]

⇒ [tex]m = 16[/tex]

Therefore, the required solution is [tex]m = 16[/tex].

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533

We first let 0.¯¯¯¯15 (15 being repeated) be x.

Since x has 2 decimal places recurring, we multiply it by 100.

x=0.151515....
100x=15.151515...

Next, we subtract them.

Lastly, we divide both sides by 99 to get x as a fraction.

Answer:

| x - 43 | = 58

Step-by-step explanation:

Let y represents the standard height of an adult woman in inches,

Also, let h be the maximum vary in height,

So, maximum height = y + h

Minimum height = y - h

According to the question,

y + h = 92 ----(1)

y - h = 24 ---(2)

Subtracting equations (1) and (2),

2h = 68

⇒ h = 43

Adding equations (1) and (2),

2y = 116 ⇒ y = 58

Thus, the height can vary 43 inches,

Also, the standard height = 58 inches,

If x represents the height,

Thus, the required absolute equation that shows the given situation,

| x - 43 | = 58

The answer is 2/3. IT IS NOT 2/4 OR 50%.

Answer:

A

Step-by-step explanation: