answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexandra [31]
2 years ago
14

Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 +

47 + 18). The expressions that four students created are shown in the table below. Expressions Generated by Students Student Expression Jeremy (20 + 13 + 15) + (20 + 47 + 18) Layla (20 + 47 + 18) + (13 + 15 + 20) Keith (13 + 20) + (20 + 47 + 18) + 15 Melinda (13 + 15 + 20 + 20) + (47 + 18) How many of the students correctly applied only the associative property to rewrite the expression? one two three four
Mathematics
2 answers:
kaheart [24]2 years ago
6 0

Answer:

The correct option is four.

Step-by-step explanation:

The associative property implies that the values are added however we want, i.e. the numbers can be grouped in any way and the answer would still be the same.

The associative property of addition is:

(a+b)+c=a+(b+c)

The expression provided is:

(13 + 15 + 20) + (20 + 47 + 18)

The answer provided by four students are:

Jeremy : (20 + 13 + 15) + (20 + 47 + 18)

Layla : (20 + 47 + 18) + (13 + 15 + 20)

Keith : (13 + 20) + (20 + 47 + 18) + 15

Melinda : (13 + 15 + 20 + 20) + (47 + 18)

So, all the four students correctly applied only the associative property to rewrite the expression.

The correct option is four.

Vlad [161]2 years ago
3 0

Answer:

⇒Associative property of Addition is applied for three real numbers.For, any three real numbers, A, B and C

≡A+B+C=A+(B+C)=(A+B)+C=(A+C)+B→→→Associative Property of Addition

that is , we can add any two numbers first and then the third number with them.

⇒Also, Commutative Property of Addition of two numbers says that for any two numbers , A and B

≡A+B=B+A

We have to find equivalent expression using Associative Property of the sum of set of three numbers

→→(13+15+20)+(20+47+18)

  Answer Written by Jerry

→(20+13+15)+(20+47+18)

Answer Written by Layla

→(20+47+18)+(13+15+20)

The Expression Written by Keith and Melinda is Incorrect,because they haven't used the bracket Properly, as associative property says that you can add any two numbers first and then the third number among three numbers.

→→Number of Students who has applied the Associative property Correctly

Option B ⇒Two(Jerry, Layla)

Step-by-step explanation:

You might be interested in
Is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°
lesya692 [45]

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

DBA = 180 - 90 - 30

DBA = 60

6 0
2 years ago
Omari drives a car that gets 18 miles per gallon of gasoline. The car's gasoline tank holds 15 gallons. The distance Omari drive
Art [367]

Answer:

Step-by-step explanation:

I believe 9 miles 15x3= 45 gallons what the car holds but he gets 18 mpg

18x3= 54 gallons 54-45=9

3 0
2 years ago
The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)
Lemur [1.5K]

Answer:

Cardiac output:F=0.055 L\s

Step-by-step explanation:

Given : The dye dilution method is used to measure cardiac output with 3 mg of dye.

To Find : Find the cardiac output.

Solution:

Formula of cardiac output:F=\frac{A}{\int\limits^T_0 {c(t)} \, dt} ---1

A = 3 mg

\int\limits^T_0 {c(t)} \, dt =\int\limits^{10}_0 {20te^{-0.06t}} \, dt

Do, integration by parts

[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}

[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}

[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}

Substitute the value in 1

Cardiac output:F=\frac{3}{54.49}

Cardiac output:F=0.055 L\s

Hence Cardiac output:F=0.055 L\s

4 0
2 years ago
A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x r
QveST [7]

Answer:

No lower than $208, and no higher than $956.8

Step-by-step explanation:

Notice that the revenue (income) function is represented by a quadratic expression (a parabola with branches pointing down), and the cost function is linear with negative slope.

When we plot them, we obtain the graphs shown in the attached image. Notice as well that there are two points of intersection for these two functions. The revenue exceeds (lays above) the cost in between the two points of intersection (marked in red and green).

For the company to make a profit, the revenue has to be larger than the cost, so we study the limiting values for that to happen, which is the points of intersection of these two curves.

The first one (pictured in red) is associated with coordinates (35, 33488) which tells us that is the production of 35 chairs with a revenue of $33,488. That is a cost per chair of $33,488 / 35 = $956.8

The second intersection (pictured in green) is associated with coordinates (125, 26000), which tells us that is the production of 125 chairs with a revenue of $26,000. That is a cost per chair of $26000 / 125 = $ 208

So these values give us the minimum and maximum that the company can charge to make a profit.

6 0
2 years ago
Read 2 more answers
Margie received her store order on 12/3/16 at 4AM. She just opened one of the
Cerrena [4.2K]

Answer:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

Step-by-step explanation:

A well-detailed version of the question has been uploaded in form of an image for easier understand.

Looking at the question, it was said that she received her store order on 12/3/2016 at 4am, this implies that the prep date and time are 12/3/2016 and 4am respectively. Also, it was said that the expiration date was printed on the product and it is 1/17/2017. Obviously, the expiration time would also be 4am because it was prepared at 4am and if we calculate in. 24hours we would get 4am at the expiration date as well. Lastly, we were told she opened the product she received on 12/7/2016 which is the initial date the product was used. From all these we can deduce the following:

Exp Date: 1/17/2017

Exp Time: 4:00am

Prep Date: 12/3/2016

Prep Time: 4:00am

Initials: 12/7/2016

8 0
2 years ago
Other questions:
  • In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality < s < represents the possible third side length o
    7·2 answers
  • An equation was used to predict possible sales of phones for 6 months. The actual sales of phones are also listed.
    8·2 answers
  • Mr. Young has a piece of rope. He uses 1/4 of it to tie some boxes together. He then uses 5/9 of the remainder to make a jump ro
    5·1 answer
  • the population at Saint Maria High increased from 1800 students ten years ago to 1926 students last year. What was the percent i
    12·2 answers
  • Peter wants to cut a rectangle of size 6x7 into squares with integer sides. What is the smallest number of squares he can get
    15·1 answer
  • Herb, a tennis player, has been struggling to develop a more consistent serve. He made the following remark to his partner durin
    11·1 answer
  • Use the alternative curvature formula K=|a x v|/|v|^3 to find the curvature of the following parameterized curves.
    7·1 answer
  • Sandy evaluated the expression below. (negative 2) cubed (6 minus 3) minus 5 (2 + 3) = (negative 2) cubed (3) minus 5 (5) = 8 (3
    9·2 answers
  • A bookcase is 2.3 metres tall and the height of each self is 34 cm how many shelf are there?​
    11·1 answer
  • The graph below represents the distance in miles (y), Jonathan travels on his bike in minutes (x). The table represents the dist
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!