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Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought?
49 + 28 = 4(7 + 7)
49 + 28 = (7)(7) + (14)(2)
49 + 28 = (7)(14) + (7)(7)
49 + 28 = 7(7 + 4)

Current Position of Suzi below Level = -225 Feet

Now, Suzi Started her Hike

Position of Suzi after taking Hike from her initial Position= -127 feet

The change in elevation from the beginning of suzi's hike to the end

                  = -127 -(-225)

                  = -127 +225

                  = 98 feet

The change in elevation from the beginning of suzi's hike to the end=98 feet

The given data is in proportion. Therefore, an equation to represent the distance d ,in meters, that the horse runs in t seconds is d=20t.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Given that, a horse ran 800 meters in 40 seconds, 1,200 meters in 60 seconds and 480 meters in 24 seconds.

Here,

800/40 =20, 1200/60 =20 and 480/24=20

Now, in proportional relationship d∝t

d=kt

800=k×40

k=20

d=20t

The given data is in proportion. Therefore, an equation to represent the distance d ,in meters, that the horse runs in t seconds is d=20t.

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The solution is x = (2m - 4) / (n + 1).

To solve the equation 2m - nx = x + 4 for x, we need to collect all the x terms on one side of the equation. Here are the steps to do that:

Start by subtracting x from both sides of the equation to get 2m - nx - x = 4.

Next, combine like terms by adding -nx and -x together to get 2m - (n+1)x = 4.

Now, solve for x by dividing both sides of the equation by -(n+1) to isolate x.

The solution is x = (2m - 4) / (n + 1).

This is how you solve for x when dealing with linear equations with variables on both sides. The key is to isolate the variable you are solving for by using inverse operations and keeping the equation balanced

Place one number above the other so that the hundreds, tens and ones places are lined up. Draw a line under the bottom number.

To write 482.65 in scientific notation with two significant figures, round the number to 480 and move the decimal point two places to the right, resulting in 4.8 x 10^2.

To write the given number 482.65 in scientific notation with two significant figures, we first determine the number of significant figures in the original number, which is five. Since we need to express it in two significant figures, we round the number to 480. Then, we move the decimal point to the right until we have a number between 1 and 10. In this case, we need to move it two places to the right, resulting in the scientific notation form of 4.8 x 10^2.

X  needs to be multiplied by the same number each time to get Y. Each time you have to multiply X to get Y, the number you have to multiply by is different. If the relationship was proportional, you could take one number and multiply it by X to get Y.

Ex.

X= 2, 6, 8, 12, 18

Y= 1, 3, 4, 6, 9

The rule there is that you have to multiply X by 2 to get Y.

Hope this helps!

A relationship is not proportional when the variables involved do not exhibit a constant rate of change or when the pattern on a graph deviates from a straight line.

When a relationship is not proportional, it means that the variables involved do not change at a constant rate. There can be various reasons why a relationship is not proportional:

Overall, a relationship is not proportional when the variables involved do not exhibit a constant rate of change or when the pattern on a graph deviates from a straight line.

Answer:

1 1/2

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

To find what 21 is divided by 4552, you can use long division but it's easier to use a calculator, which gives an approximate result of 0.0046 when rounded to four decimal places.

The question asks us to perform the division of 21 by 4552. To solve this, we can use long division or a calculator. Using a calculator would be faster and more accurate for most, but here we will demonstrate the process using long division.

Here are the steps to perform this division by hand:

For simplicity and accuracy, most would use a calculator, and it would show that 21 divided by 4552 equals approximately 0.0046 when rounded to four decimal places.

Remember to round the result according to the number of significant figures or decimal places required by your instructions.

To divide 21 by 4552, divide the first number by the second number.

To divide 21 by 4552, we divide the first number by the second number.

So, 21 ÷ 4552 = 0.0046 (rounded to four decimal places).

We have been given that a popular chain of superstores made [tex]3.0479\text{x}10^{8}[/tex] dollars in profit last year. Also, we know that one particular store in the chain made [tex]2.102\text{x}10^{6}[/tex] dollars in profit last year.  

Now, in order to figure out how many times greater is the profit made by the entire chain last year than by this particular store, we will divide the profit made by the entire chain by the profit made by the given particular store.

[tex]\frac{3.0479\text{x}10^{8}}{2.102\text{x}10^{6}}=\frac{3.0479}{2.102}\text{x}10^{8-6}=1.45\text{x}10^{2}[/tex]

Therefore, the required answer is: [tex]1.45\text{x}10^{2}[/tex]