estimate the quotient for 49 / 311

Let

x-------> first decimal

y------> second decimal

we know that

[tex]y-x=16.825[/tex]

[tex]y=16.825+x[/tex]

Assume the value of x and find the value of y with the equation

so

For [tex]x=3.875[/tex]

Find the value of y

Substitute the value of x in the equation

[tex]y=16.825+x[/tex]

[tex]y=16.825+3.875[/tex]

[tex]y=20.700[/tex]

therefore

the answer is

The two possible decimals are

[tex]3.875[/tex]

[tex]20.700[/tex]

The solution of the addition will be 944000.

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 234 thousand + 7 ten thousand. The summation of the numbers will be:-

Add both numbers.

S = 234000 + 710000 .

S = 944000

Therefore, the solution of the addition will be 944000.

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When choosing between the gold and silver rental cards, it is important to consider the frequency of movie rentals and the associated costs.

When deciding between the gold and silver rental cards, there are a few factors to consider.

The gold rental card has an initial cost of $25 and then charges $1.75 per rental. On the other hand, the silver rental card has an initial cost of $10 and charges $3.25 per rental.

If you rent movies frequently, the silver card may be a better option because even though it has a higher initial cost, the lower charge per rental will result in lower overall cost. However, if you don't rent movies often, the gold card may be a better choice because the lower per-rental cost will offset the higher initial cost.

To solve the equation r + (-6) = -10, since -6 is being added to r, we need to subtract -6 from both sides of the equation.

It's important to understand that minus a negative means the same thing as plus a positive so we're really adding 6.

On the left side of the equation, the -6 and +6 cancel out and we have r. On the right side of the equation, -10 + 6 is -4.

So we have r = -4 which is the solution to our equation.

you are right, when you see a number like 7√2

 you would multiply 7 by √2

which = 7 x 1.41 = 9.87

Answer:

45 m

Step-by-step explanation:

We are given that a little brother of your with the squirt gun filled with paint  is far away from you.

We have to find the distance between you and your brother

Speed =3 m/s

Time taken by you =15 s

We know that speed=[tex]\frac{distance}{time}[/tex]

Substitute the value then we get

[tex]3=\frac{distance}{15}[/tex]

Distance =[tex]3\times 15[/tex]

Distance =45 m

Hence, you can travel 45 m then he sees you.

You can get 45 meters away from your little brother with the squirt gun filled with paint.

To determine how far you can get away from your little brother with the squirt gun filled with paint, we need to calculate the distance using the formula: distance = speed x time. Given that your speed is 3 m/s and you have 15 seconds before he sees you, the distance can be calculated as follows:

distance = 3 m/s x 15 s = 45 meters

Therefore, you can get 45 meters away from your little brother with the squirt gun filled with paint.

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Answer:

10.77

Step-by-step explanation:

To determine the cost of 4 erasers, set up a proportion using the given information.

To determine the cost of 4 erasers, we can set up a proportion using the given information. We know that 3 erasers cost $4.41, so we can write the equation:

3 erasers / $4.41 = 4 erasers / x

To solve for x, we can cross-multiply:

3 * x = 4 * $4.41

x = (4 * $4.41) / 3

Calculating this, we find that the cost of 4 erasers is $5.88. So, the equation that will help determine the cost of 4 erasers is 3 erasers / $4.41 = 4 erasers / $5.88.

The correct equation that represents this relationship and would help determine the cost of 4 erasers is:[tex]\[ \frac{4}{x} = \frac{3}{4.41} \][/tex]

The correct option is (A).

The image shows multiple choice options for equations that could be used to determine the cost of 4 erasers given that 3 erasers cost $4.41.

To find the cost of 4 erasers, we would want to set up a proportion where the number of erasers is directly proportional to the total cost. Given that 3 erasers cost $4.41, we can write this relationship as:

[tex]\[ \frac{\text{Number of erasers}}{\text{Cost}} = \frac{3}{4.41} \][/tex]

We want to find the cost for 4 erasers, so we can set up an equation with [tex]\( x \)[/tex] representing the unknown cost for 4 erasers:

[tex]\[ \frac{4}{x} = \frac{3}{4.41} \][/tex]

This equation can be solved to find \( x \), the cost for 4 erasers. We can cross multiply to solve for \( x \):

[tex]\[ 3 \times x = 4 \times 4.41 \][/tex]

[tex]\[ x = \frac{4 \times 4.41}{3} \][/tex]

Let's solve for[tex]\( x \)[/tex] to find the cost of 4 erasers.

The cost for 4 erasers, given that 3 erasers cost $4.41, would be $5.88.

The correct equation that represents this relationship and would help determine the cost of 4 erasers is:

[tex]\[ \frac{4}{x} = \frac{3}{4.41} \][/tex].

complete question given below:

In scientific notation, the coefficient is a number from 1 to 10 multiplied by a power of 10, which represents the number of decimal places moved to convert a number to this format.

The first factor in an expression in scientific notation is the coefficient, which must be a number equal to or greater than 1 and less than 10. The coefficient is then multiplied by a power of 10 to represent the original number accurately.

For example, to write the number 79,345 in scientific notation, one would express it as 7.9345 × 104, because we have moved the decimal place to make 79,345 into 7.9345 while recording that we have moved the decimal place four positions to the right, hence the power of 10 being 4.

Answer:

Computer can do the calculations = [tex]10^{6}[/tex] in 10 seconds

Step-by-step explanation:

It is given in this question that a certain computer can perform number of calculations = [tex]10^{5}[/tex] per second

It has been asked that how many calculations it can perform in 10 seconds.

Since number of calculations in t seconds can be represented by

Number of calculations = Calculations done in one second × t

Where t = time

By replacing t = 10 seconds

Number of calculations = [tex]10^{5}\times 10[/tex]

                                       = [tex]10^{6}[/tex]

Computer can do the calculations = [tex]10^{6}[/tex] in 10 seconds

Simply take 4.4% of $3:

0.044 * 3 = 0.132

You would pay $0.13 tax on a $3 item.

Hi friends, the answers would most certainly be 140