What is estimate the sum or difference of 1 5/6 + 2 2/11

Final answer:

Dennis's percent error in estimating the price of the card is 12.5%, calculated by taking the difference between his estimate and the actual price, dividing by the actual price, and then multiplying by 100.

Explanation:

Dennis calculated the amount of the card as $4.50, but the actual price is $4.00. To find Dennis's percent error, we'll need to calculate the difference between his estimated price and the actual price, and then divide that by the actual price. Finally, we'll multiply that number by 100 to get the percent error.

Here's how we'll calculate it:

Divide the error by the actual value: $0.50 ÷ $4.00 = 0.125.

Multiply by 100 to convert to a percentage: 0.125 × 100 = 12.5%.

The percent error in Dennis's estimate is 12.5%.

Answer:

- 0.39

Step-by-step explanation:

Level of precision = 0.01 mL

We need to find a number which could be added to 0.40 mL for the level of precision to be 0.01 mL .

Let x be a number  which could be added to 0.40 mL for the level of precision to be 0.01 mL .

[tex]x+0.40=0.01[/tex]

On subtracting 0.40 from both sides , we get

[tex]x+0.40-0.40=0.01-0.40[/tex]

On solving , we get

[tex]x+0=0.01-0.40[/tex]

We know that [tex]x+0=x=0+x[/tex] where 0 is the additive inverse .

So,

[tex]x=0.01-0.40[/tex]

Here , [tex]0.01-0.40=-0.39[/tex]

Therefore ,

[tex]x=0.01-0.40=-0.39[/tex]

Therefore , -0.39 could be added to 0.40 mL for the level of precision to be 0.01mL

Answer:

a

Step-by-step explanation:

Answer:

k = the constant of proportionality .>. sorry this already kinda answered ;w;'

Wesley walked 2.75 miles in one hour, calculated by dividing the total distance (11 miles) by the total time (4 hours).

The question asks how far Wesley walked in one hour if he walked 11 miles in 4 hours at a consistent pace. To find this, we can calculate his average speed by dividing the total distance by the total time. This gives us an equation: Average speed = Total distance / Total time, which simplifies to: Average speed = 11 miles / 4 hours.

Performing the division, we get an average speed of 2.75 miles per hour. Therefore, Wesley walked 2.75 miles in one hour.

Answer:

greg weighs 180 justin weighs 165

Step-by-step explanation:

Jessica has the option to switch to a plan that charges $65.00 per month with unlimited text messages.

Jessica typically sends about 900 text messages per month.

Cost per message under the new plan = $65 / 900 = $ 0.072 per message

It make sense for her to switch to the new plan only if the cost per message in her existing plan is more than $ 0.072

Hope this helps..!!

Thank you :)

Answer:

The answer is A. p=18z I just took the test

Answer:

It is A I got it right on usa test prep

Step-by-step explanation:

Answer:

2,000 pies!

Step-by-step explanation:

Upon calculating, it is found that both Stewart's triangle and Judith's square have the same perimeter of 6 1/2 inches. This shows that despite different shapes, their perimeters can be equal if the lengths of their sides are chosen accordingly.

The question is about comparing the perimeters of a triangle drawn by Stewart and a square drawn by Judith. Stewart's triangle has each side measuring 2 1/6 inches long, which when converted to improper fraction becomes 13/6 inches. For the triangle, the perimeter is calculated by multiplying the length of one side by three (since a triangle has three sides). The perimeter of Stewart's triangle is 13/6 * 3 = 39/6 = 6 1/2 inches.

Judith's square has each side measuring 1 5/8 inches long, which is equivalent to 13/8 inches. For the square, the perimeter is the length of one side times four (because a square has four equal sides). Thus, the perimeter of Judith's square is 13/8 * 4 = 52/8 = 6 1/2 inches.

Therefore, both the triangle and the square have the same perimeter of 6 1/2 inches.

Subtracting an expression is akin to distributing -1 to each term within the expression. This is because subtraction can be viewed as adding the negation of the expression, which involves multiplying each term by -1. So, each term within the expression gets negated when subtracting.

When you subtract an expression, you can think of it as distributing a negative sign (-1) to each term within the expression. Here's a step-by-step explanation:

Start with the expression you want to subtract from, let's call it A.

When you subtract another expression, let's call it B, from A, you're essentially adding the negation of B to A.

The negation of B is obtained by multiplying each term of B by -1.

Distributing -1 to each term of B results in subtracting each term of B individually from A.

This process aligns with the distributive property, making subtracting an expression akin to distributing -1 to each term within the expression.

Answer:

Step-by-step explanation:

It is given that A rectangular prism has a length of [tex]1\frac{1}{4}[/tex]yards a width of [tex]2\frac{1}{2}[/tex] yards, and a height of 4 yards.

Now, the volume of the prism is given as:

[tex]V=Length{\times}width{\times}height[/tex]

[tex]V=\frac{5}{4}{\times}\frac{5}{2}{\times}4[/tex]

[tex]V=\frac{25}{2}[/tex]

[tex]V=12\frac{1}{2}cubic yards[/tex]

Therefore, the volume of the rectangular prism will be [tex]V=12\frac{1}{2}cubic yards[/tex].

Answer:

V=12 1/2cubic yards.

Step-by-step explanation:

A linear equation of one variable is expressed in the form of ax + b = 0, where a and b are the two integers, and x is a variable.

In the given question, the linear equation can be represented as:

2x + 10 + x = 73.

The number of dogs is 21, and the number of cats available is 52.

Given that:

Total number of dogs and cats = 73

Let the number of dogs be x.

The number of cats, as given is = 10 + 2x

Now, solving for the equation:

x + 10 + 2x  = 73

Solving for the variables:

3x + 10 = 73

3x = 73 -10

3x  = 63

x = [tex]\dfrac {63}{3}[/tex]

x = 21

The number of dogs available is 21.

The number of cats available is:

2x + 10

Putting the value of x:

2 (21) + 10

52

Thus, the number of dogs is 21, and the number of cats available is 52.

To know more about linear equations, refer to the following link:

https://brainly.com/question/11897796

To prove that replacing the first equation with the sum of the equation and a multiple of the other produces a system with the same solution, we will first calculate the solution to the original system. Then we will calculate the solution to the modified system of equations and check if the solution is the same.

To prove that replacing the first equation with the sum of the equation and a multiple of the other produces a system with the same solution, we will first calculate the solution to the original system of equations (1,3). Then we will calculate the solution to the modified system of equations in which the first equation is replaced with the sum of the two equations. If the solution to the modified system is also (1,3), then we have shown that the modified system has the same solution.

Original system:

Equation 1: 2x + y = 5

Equation 2: x - 2y = -5

Substitute x = 1 and y = 3 into the original equations to check if it is a solution:

Equation 1: 2(1) + 3 = 5 => 2 + 3 = 5 => 5 = 5 (true)

Equation 2: 1 - 2(3) = -5 => 1 - 6 = -5 => -5 = -5 (true)

Hence, (1,3) is a solution to the original system of equations.

To create the modified system, we will sum equation 1 and a multiple of equation 2:

New equation 1: (2x + y) + k(x - 2y) = 5 + k(-5), where k is a constant

Expanding and simplifying the equation:

(2 + k)x + (1 - 2k)y = 5 - 5k

Let's substitute x = 1 and y = 3 into the modified equation to check if (1,3) is a solution:

(2 + k)(1) + (1 - 2k)(3) = 5 - 5k

2 + k + 3 - 6k = 5 - 5k

3 - 5k = 5 - 5k

3 = 5 (false)

Therefore, the modified system does not have the same solution as the original system, disproving the statement.

https://brainly.com/question/21620502

#SPJ12

Answer:

 we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.

Step-by-step explanation:

We have been given the expression  [tex]\frac{2^5}{8}=2^2[/tex]

8 can be rewritten as [tex]2^3[/tex]

Hence, the given expression becomes

[tex]\frac{2^5}{2^3}=2^2[/tex]

After subtracting the exponents on left hand side of the equation we get:

[tex]2^2=2^2[/tex]

we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.

Answer:

Step-by-step explanation:

We have been given the expression  2^5/8=2^2

8 can be rewritten as 2^3

Hence, the given expression becomes

2^5/2^3=2^2

After subtracting the exponents on left hand side of the equation we get:

2^2=2^2

we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.