Two students determined the value of this expression.

-2.5(1.4+3.1) + 6.9(-4.3)

These are the steps each student used.



Student P

Step 1: -3.5 + 7.75 + 6.9(-4.3)



Step 2: -3.5 + 7.75 - 29.67



Step 3: 7.75 - 3.5 - 29.6
Step 4: -25.42

Student Q
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 - 7.75 - 29.67)
Step 4: -(-33.92)
Step 5: 33.92
Analyze the steps and describe any errors made by Student P and Student Q.

Answers

Answer 1

Let's solve

[tex]\\ \rm\rightarrowtail -2.5(1.4+3.1)+6.9(-4.3)[/tex]

[tex]\\ \rm\rightarrowtail -3.5-7.75-29.67[/tex]

[tex]\\ \rm\rightarrowtail -11.25-29.67[/tex]

[tex]\\ \rm\rightarrowtail -40.92[/tex]

Both did error in signs

Answer 2

Answer:

Given expression:

-2.5(1.4+3.1) + 6.9(-4.3)

Student P

Step 1:  -3.5 + 7.75 + 6.9(-4.3)

Step 2: -3.5 + 7.75 - 29.67

Step 3: 7.75 - 3.5 - 29.67

Step 4: -25.42

Student P made an error in step 1.  When expanding the first part of the expression, they forgot the negative sign when multiplying -2.5 by 3.1.  

So Step 1 should be:  -3.5 - 7.75 + 6.9(-4.3).  

This error then impacted all following steps and gave an incorrect final solution.

Student Q

Step 1: -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 - 7.75 - 29.67)

Step 4: -(-33.92)

Step 5: 33.92

Student Q made an error in step 3.  When placing the numbers in parentheses and placing a negative sign outside the parentheses, they should have changed the two negative signs inside the parentheses to positives.

So Step 3 should be: -(3.5 + 7.75 + 29.67).  

This error then impacted all following steps and gave an incorrect final solution.

Correct steps and solution

Step 1:  -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 + 7.75 + 29.67)

Step 4: -(40.92)

Step 5: -40.92


Related Questions

Help help help help help help math

Answers

Answer:

55

Step-by-step explanation:

Area=LxW

so, Area=11x5

=55

Answeri think its 55

Step-by-step explanation:

you have to multiply 5x11 and thats 55 which is simple becaused i suck at explaining stuff

What is the standard deviation of data set? 6,4,9,5,5,4,5 Round the answer to the tenths place.

Answers

Answer:

1•7

Step-by-step explanation:

Answer Accorfing ti te pasaje we no get:

Question 1 of 10
Is the graph a linear function, nonlinear function, or relation?
AY
O A. Nonlinear function
OB. Relation
C. Linear function
PREVIOUS

Answers

Answer:

A. Nonlinear function

Step-by-step explanation:

It is not a linear function because :-

You cannot write an equation because change in y-value for every x-value is not consistentIt cannot be relation as there is no correlation between the x and y values in the graphIt is a nonlinear function

What is the measure of m? n 20 m 5 m.

m = 5 V Give your answer in simplest form. Enter​

Answers

Answer:

m = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

To find the measure  of m we use the following Euclidian theorem:

m^2 = 5*(5+20)

m^2 = 125 find the root for both sides

m = 5[tex]\sqrt{5}[/tex]

Make an accurate drawing of two rectangles with the same perimeter, but different areas. Indicate the dimensions of the rectangles, as well as the perimeter and the area in each figure.​

Answers

here.

Step-by-step explanation:

Question 1 The diagram below shows the straight line joining points A and B. YA A(-1,6) 0 х B (3,-2) Find the equation of the line AB. Give the equation in its simplest form.​

Answers

Answer:

y+2x=4

Step-by-step explanation:

use the formula of equation of line

The equation of line is y= 4 - 2x.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given co- ordinates:

A(-1,6) and B (3,-2)

slope = [tex](y_2 - y_1) / (x_2 - x_1)[/tex]

slope = ( -2 - 6)/ ( 3 -(-1))

slope = (-8) / (4)

slope = -2

Now, the equation of line

([tex]y-y_1) = m (x - x_1)[/tex]

(y- 6) = (-2)(x - (-1))

y-6 = (-2)(x + 1)

y-6 = -2x -2

y= 4 - 2x

Hence, the equation of line is y= 4 - 2x.

Learn more about slope here:

https://brainly.com/question/3605446

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Lola bought 4.25 yards of ribbon. The ribbon cost $1.59 per yard. What was the
total cost of her ribbon to the nearest cent?
Fill in the blanks with an operation symbol and a number to complete the
equation.
4.25___$1.59 = $_

Answers

4.25•$1.59= $6.76
Answer: multiply

Find the volume of this composite figure

Answers

Answer:

381 feet cubed

Step-by-step explanation:

You need to divide the shape into 2.


I would divide the shape so that 8.5ft, 6ft, and 3ft are one.

Now do Length times Width times Height for the first one.

8.5 ft x 6 ft x 3 ft = volume for shape 1

The volume for shape 1 is 153 feet cubed

Now onto the second one.

Since you divide the other shape to have 8.5 feet the measurements are:

4ft, 9.5ft, and 6ft.

Do the formula lwh.

4ft x 9.5ft x 6ft = volume for shape 2

The volume for shape 2 is 228 feet cubed

Finally, you have to add shapes 1 and 2 due to the fact it's a composite figure.

153ft + 228ft = 381ft cubed

State the following numbers using '+' or '_'.
(a) 80 less than zero
=

(b) 76 more than zero
=


2.List all integers
(a) from -8 to 4
=

(b) from -12 to -2
=​

Answers

Step-by-step explanation:

-80 is less than 0.

+76 is more than 0.

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4

-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2

Which number does NOT round to 880?
893
883
882
878

Answers

Answer:

893

Step-by-step explanation:

893 is too far away to round to 880. It would actually round to 890.

The last digits of 883 and 882 are small enough to round to 880.

The last digit of 878 is large enough to round to 880.

Answer:

893

Step-by-step explanation:

We round down if the digit is less than 5

We round up if the digit is 5 or more

Rounding to the nearest 10:

893 → 890 (round down as 3 is less than 5)

883 → 880 (round down as 3 is less than 5)

882 → 880 (round down as 2 is less than 5)

878 → 880 (round up as 8 is more than 5)

So the only number that does NOT round to 880 is 893.

The square root of 7^16 is equal to 7^n for some positive integer n. Find n.

Answers

[tex]\sqrt{7^{16}} = 7^n\\\\\implies \left(7^{16}\right)^{\tfrac 12} = 7^n\\\\\implies 7^{\left(\tfrac 12 \times 16\right)}=7^n\\\\\implies 7^8 = 7^n\\\\\implies \ln 7^8 = \ln 7^n\\\\\implies 8\ln 7 = n \ln 7\\\\\implies n =8[/tex]

This graph shows the amount of sugar and the total calories in 8 items on the
menu at a restaurant

Answers

Answer:

a: there are 30 calories additional grams of sugar for every additional calorie in a menu item

Step-by-step explanation:

Enter in the missing numbers to create equivalent ratios. NO LINKS pls.

Answers

Answer:

Step-by-step explanation:

Complete the square to re-write the quadratic function in vertex form: y=x2-x+3

Answers

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²-  delta/4a²   and   delta = b²- 4ac

in this exercice you have : a =1    b = -1   and  c= 3

continu ..........

Eight subtracted from four times a number is 84. What is the number?

A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.

The equation is


B) Solve your equation in part [A] for
x
.


Answer:
x
=

Answers

Answer:

Hope the picture will help you

= 1 2 + (2 + tan 1 2 ) where and are constants. Show that (1 + ) ²y/dy²=y

Answers

Answer:

Step-by-step explanation:

Pls show work I can't understand

Answers

Answer:

I don't think that is possible because absolute value cant equal negative number, symbol would be ∅ if that is true

Step-by-step explanation:

i don't have one

What is the slope of the line that passes
through (7,3) and (-2,4)?
O 7
02
- 9
0-
OS

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's calculate the slope ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{3 - 4}{7 - ( - 2)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{ - 1}{9} [/tex]

That's the required slope, I hope it helps~

5-3x5* Whats the answer

Answers

Answer:

-10

Step-by-step explanation:

5 - 3*5

= 5 - 15

= -10

Find the vertex of this parabola:
y = -x2 - 4x - 2

Answers

Hello!

[tex]===============================[/tex]

In order to find the vertex of a parabola, we use the following formula:

[tex]\bold{\displaystyle\frac{-b}{2a} }}[/tex]

Remember, a parabola looks like so:

[tex]\tt{y=ax^2+bx+c}[/tex]

Now we know what a and b stand for.

In this case, b is -4, and a is -1:

[tex]\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}[/tex]

Simplify:

[tex]\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}[/tex]

Divide:

[tex]\hookrightarrow\sf{-2}[/tex]

[tex]===================================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:

[tex]\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}[/tex]

8) Which table shows a proportional relationship between x and y?
1
y
1
4
2
3
4
8
4
6
10
с
12
8
А
9
16
14
16
12
22
20
20
15
28
x
3
.
y
5
1
12
6
10
2
14
12
D
w N
B
15
16
18
18
4
24
20
20
30
25
5
9 Danielle constructs a scale model of a building with a rectangular base. Her model

Answers

Answer:

  D

Step-by-step explanation:

A table shows a proportional relationship if all of the y/x ratios are the same.

  A: 4/3 ≠ 10/6 . . . . not proportional

  B: 6/12 ≠ 12/14 . . . . not proportional

  C: 2/4 ≠ 20/20 . . . . not proportional

  D: 1/5 = 2/10 = ... = 5/25 . . . . proportional relationship

Answer:

D

Step-by-step explanation:

1*5=5

2*5=10

3*5=15

4*5=20

5*5=25

Raul threw a football 48 yards. Then, he
threw the ball another 46 yards. Finally, he
threw it another 50 yards. How many
FEET did he throw the ball. (hint: convert
yards to feet)

Answers

Answer:

432 ft.

Step-by-step explanation:

Add up the yards he threw the ball, which is 144 yards, and then convert it to feet (1 yd = 3 ft)

7. SHORT ANSWER Determine whether the
relationship between the two quantities
in the table is proportional. Explain
your reasoning.

Answers

Answer:

it is proportional because there is a roc of +5 bc as one hour increases 5 dollars is added to the initial cost

Right triangle
What is the area
Left = 20 in
Bottom = 2 in

Answers

The area of a triangle is 1/2*base*height
Therefore, it would be 1/2*2*20 which is 20 (sq. Inch)

Answer:

20sq in

Step-by-step explanation:

h x b / 2

20 x 2 / 2

40/2

20

camilo uses 32 ounces of filling to make empanadas. he puts 8 empanadas on each of 3 trays. Write a fraction to show how many ounces of filling camilo uses in each empanada. Please reply quickly!

Answers

Answer:

32/4

Step-by-step explanation:

 

HELP ME! PLEASE!

Help me!j

Answers

Answer:

C is the correct answer hope i helped

Step-by-step explanation:

Given the points (-10, -3) and (4,8) find the slope.

Answers

Answer: [tex]\frac{11}{14}[/tex]

Step-by-step explanation:

1) Identify Format

(x1,y1) = (−10,−3)

(x2,y2) = (4,8)

2) Use the Slope Formula

m=y2−y1x2−x1

=8−−3/4−−10

=11/14

=11/14

Bonus: Graph

Answer provided by Education Point

A map of a highway has A scale of 2 inches= 27 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the highway, including one at each end. You’re making a new map with a scale of 1 inch= 30 miles. How far apart are the rest stops on the new map?

Answers

Answer:

From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."

Step-by-step explanation

Im sorry if none of these answers are correct.

The area of South America is approximately 1.78 × 107 square kilometers. Its population is approximately 3.50 × 108 people. What is the approximate population density (people per square kilometer) of South America? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
A: 19.66 people/km^2

B: 1.97 × 10^15 people/km2

C: 5.09 people/km^2

D: 1.97 × 10^1 people/km^2

Answers

Answer: 19.66 people/km^2, A

Step-by-step explanation:

The population density will be equal to 82.96 people/km2.

The correct option is B.

What is an expression?

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.

here, we have,

Given that the area is 1.78 × 10⁷ km² with 3.50 × 10^8 people.

The population density will be calculated as below:-

Density = people / km² = ( 3.50 × 10^8 ) / ( 1.78 x 10⁷ )

Density =19.66

Density = 19.66 people/km²

Therefore, the population density will be equal to 82.96 people/km2. The correct option is A.

To know more about an expression follow:

brainly.com/question/9699102

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find the first derivative of x^2+y^2=25​

Answers

Answer:

[tex]\frac{dy}{dx}=-\frac{x}{y}[/tex]

Step-by-step explanation:

Use implicit differentiation:

[tex]x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}[/tex]

Remember to treat "y" as a constant in implicit differentiation and include dy/dx.

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