an expression is shown
5/6 m + 12 - 2/3 m-6
a student wrote the steps she used to determine an expression equivalent to the expression shown.
step 1: 5/6 m+12-2/3 m-6
step 2: 5/6 m-2/3 m + 12-6
step 3:(5/6) (- 2/3) m +12-6
step 4: - 10/18 m +6
in which step did the student make her first error?
explain your response
write the correct expression for this step
explain your response
Answers
Answer:
Step-by-step explanation:
[tex]\frac{5}{6}m+12-\frac{2}{3}-6[/tex]
*Note that [tex]-\frac{2}{3}[/tex] is equivalent to [tex]-\frac{4}{6}[/tex]*
[tex]Step\ 1\ \frac{5}{6}m+12-\frac{2}{3}m-6 \\\\[/tex]
[tex]Step\ 2\ \frac{5}{6}m-\frac{2}{3}m+12-6 \\\\[/tex]
[tex]Step\ 3\ (\frac{5}{6})(-\frac{2}{3})m+12-6 \\\\[/tex] <== this is where the mistake was made.
[tex]Step\ 4\ -\frac{10}{6}m+6[/tex]
Questions:
1. In which step did the student make her first error?
Explanation: The students made her first error in Step 3 because she multiplied the fractions, instead of subtracting them.
2. Write the correct expression for this step
The correct expression for Step 3:
[tex]Step\ 2\ \frac{5}{6}m-\frac{2}{3}m+12-6\\\\[/tex]
[tex]\frac{5}{6}m-\frac{4}{6}m+12-6\\\\[/tex]
[tex]\frac{1}{6}m+12-6\\[/tex]
[tex]\frac{1}{6}m+6[/tex]
Explanation: First, I converted [tex]-\frac{2}{3}[/tex] to [tex]-\frac{4}{6}[/tex]. Then subtracted the fraction. After, I subtracted the number (integers).
Hope this helps!
Related Questions
50 oz of juice increased by 20% is 60%. However, 60 oz decreased by 20% is not 50 oz. Explain why.
Answers
Answer:
20% of 50 oz is 10 oz, but 20% of 60 oz is 12 oz.
Step-by-step explanation:
This is because 60 is a larger number than 50, so percentage changes to it will be larger.
Don't forget to thanks and rate if correct :D
Answer:
20% of 50 oz is 10 oz, but 20% of 60 oz is 12 oz.
Step-by-step explanation:
Because 60 is a much bigger number than 50, so the change of percentage will also be greater.
Rational function / Subtract
Please draw steps and show answer
Answers
Answer: 7x^3-18x^2-15/3x^2
this is due by tonight pls- (two attatchments)
Answers
Answer:
62.83 im pretty sure.
Step-by-step explanation:
Diameter = 12 inches so the radius is 6 inches. The pan radius is 4 inches so it must be 8 inches in diameter. This means that 4 inches of the pan cannot be covered right? because 12 - 8 = 4. However because a pizza = circle you need to use pi = 3.14. So the circle area would be 113.1 - 50.27 which is 62.83
Answer:
1. The pan has lengths of 12 and 12 (remember that a pizza pan/box is a square so all sides are the same length).
That would mean the area of the pan is;
12 x 12 = 144
Now in finding the area of the pizza, we must know the formula for finding the area of a circle, which is;
A = pi*r^2,
where pi is 3.14 or 22/7, and r is the radius which is squared
So replace those values:
A = 3.14 x 4^2
A = 3.14 x 16
A = 50.24
But now they want us to find out the area of the parts that have not been covered, so we subtract the area of the pizza from the total of the pan;
144 - 50.24
= 93.76 square inches
2. To find the area of the semicircle we must use the formula for finding the area of a circle and divide it by two since it's a semicircle.
The radius of the semicircle is 3, because the diameter is 6 and half of the diameter is the radius so half of 6 is 3.
A = pi*r^2/2
A = 3.14 x 3^2/2
A = 3.14 x 9/2
A = 28.26/2
A = 14.3
Now we must find the area of the triangle,
And the formula for area of a triangle is;
A = BH x 1/2
The base is 6, and the height is 10.
So:
A = BH x 1/2
A = (6 x 10) x 1/2
A = 60 x 1/2
A = 60/2
A = 30, now we must add the total of the two areas;
14.3 + 30 = 44.3 square feet
The measurements of an ice cooler are shown.
Enter the volume of the cooler in cubic inches
Answers
Answer:
960in³
Step-by-step explanation:
The formula to find volume is (length * width * height) or (base * height).
1. Multiply the length and width to get 96in².
2. Multiply 96 by the height to get 960in³.
The volume of the cooler is 960in³
Answer:
960
Step-by-step explanation:
if you multiply 12 and 10 you will get 120 then multiply 120 by 8 and you will get 960.
Sunil is the ticket manager at a local soccer field. He wants to conduct a
survey to determine how many games most spectators attend during the
soccer season
Part A.) What is the population for Sunil’s survey? Give an example of a way that Sunil could collect a representative sample of this population.
Answers
Answer:
Sunil can randomly survey spectators at the soccer field to determine how many games they have attended
Answer this for 10 regular points nothing special
Answers
Answer: 136 cm2
Explanation : Math
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Enter your answer in the box.
Answers
Answer:
[tex]278mm[/tex]
Step-by-step explanation:
We take the surface area of all of the faces and we get [tex]55+55+44+44+40+40+20+20=278mm[/tex]
I need real answers please help i'm having a lot of trouble with this. it been 2 days i can't get
Answers
so first take two sets of coordinates. Find the slope using the slope formula; m=(Y₂-Y₁)/(X₂-X₁). Plug in the x and y values. let's use (14,21) and (2,3). Our equation would be (3-21)/(2-14)=(-18)/(-12)=1.5. Then use point-slope form; (Y-Y₁)=m(X-X₁). Plug in the x and y values, and get (y-21)=1.5(x-14). Simplify and get y-21=1.5x-21. Add 21 on both sides, and you get your final equation y=1.5x. So equation 1 will match A. Then do those same steps for the rest of the equations.
Which expression represents the statement "12 divided by 3, then add 5"?
O
A. 12 ÷ (3 + 5)
O B. 3÷12 + 5
Solve.
Enter your answer in the box.
0.5 x 1.24
O
C. 12 ÷ 3+5
O D. 3+12 ÷ 5
Answers
C.
0.5 x 1.24 = 0.62
12/3= 4
4+5 =9
pls help I really need help on 13 and 14 plsssssss help me pls
Answers
Answer:
The answer is 9.813
Step-by-step explanation:
14- 2 19/5
I tried my best
Dose the solution to 4(3x + 2) = 4(2x + 3) + 4x have a infinite solution, no solution, or one solution ?
Answers
X=8
Work
4(3x+2)=4(2x+3)+4x
12x+8=8x+12+4x
-8x -8x
4x+8=12+4x
-4x -4x
X+8=12
-8 -8
X=8
(3^8⋅ 2^−5⋅ 9^0)^−2
i will mark brainlest
Answers
WILL GIVE BRAINIEST ANSWERRR!!!!!!!!
Answers
Plane A has heavier luggage with a total weight of 2,360 pounds.
Plane B has 2,320 pounds.
Because each dot represents 8 luggage cases, you can multiply the weight times the corresponding number of luggage. for example, there are 8 cases of luggage that weigh 28 pounds. In total, those 8 equal 224 pounds.
What is "2x2?" I want to know.
Answers
4
Answer:
REaLLY YOU DON"T KNOW WHATS 2 X2 REALLY IT FOUR
Step-by-step explanation:
HELLLLPPPP!!!!!!!!!!!!!!!! I WILL GET GROUNDED!!!!!!!!!!!!!!!!!
What is the slope of the line shown in the graph? (4 points)
A coordinate plane graph is shown. Points are plotted at 0 comma 3 and 1 comma 1. The points are joined by a line.
−1
−2
negative 1 over 2
2
Answers
Answer:
-2
Step-by-step explanation:
slope=(1-3)/(1-0)= -2
brielle wants to center a print that is 25 3/4 inches wide in the horizontal center of a wall that is 150 inches wide
Answers
Answer:
62.125
She should place the print 62.125 away from the end of the wall.
Step-by-step explanation:
150= 25.75+2x
124.25=2x
62.125=x
The base of a rectangular prism has a length of 4 centimeters and has a width of 2 centimeters.The height of the prism is 3 centimeters.What is the volume of the prism? Show your work.
Answers
24
Explanation:
V = whl (width times height times length)
V = (2)(3)(4)
V = (6)(4)
V = 24
Could you help me please!!
Answers
Answer:
15.6
Step-by-step explanation:
to find the area you would have to divide the perimeter by 4
62.4/4 = 15.6
What is the measure of 1 if 1 is (4x - 4) and 2 is (4x)?
Answers
4x-4+4x=180
Now we combine the like terms on the left side of the equation.
8x-4=180
Now we have to add the 4 to both sides.
8x=184
Now to get the x by itself (find the value of x) we have to divide the 8 on both sides.
x=23
Now that we have found x we can plug it back into the equation for number 1 [(4x-4)] and solve to find the value of number 1.
4(23)-4=88
Answer: 88°
Hope this helps :)
What is the surface area of this figure?
Enter your answer in the box.
ft²
Answers
1222
Reason for this answer:
The surface area of given figure is 1222 [tex]ft^{2}[/tex]
What is Surface Area ?Surface area is the amount of space covering the outside of a three-dimensional shape.
Firstly, Take the cuboidal base.
We will find the area of the front and back face which is shape of rectangle.
The side faces of rectangles and lastly the bottom face.
Area of Front and back face= area of 2 rectangles= 2 x length x breadth
= 2 x 19 x 11
= 418 [tex]ft^{2}[/tex]
Area of side faces = area of 2 rectangles= 2 x side x side
= 2 x 11 x 9
=198 [tex]ft^{2}[/tex]
Area of bottom = Length x breadth= 19 x 9
= 171 [tex]ft^{2}[/tex]
Now, area of faces remaining on the side of the triangular prism.
There are two rectangle of measurement : length= 9 ft and breadth = 4.5 ft
Area of two remaining faces on top other than triangular base= l x b= 2 x (9 x4.5)
= 81 [tex]ft^{2}[/tex]
At last, the side faces of triangular prism whose area be,=2 x 13 x 9
= 234 [tex]ft^{2}[/tex]
Area of front and back face of triangular prism= 2 x ( [tex]\frac{1}{2}[/tex] x b x h )
= 2 x 0.5 x 10 x 12
= 120[tex]ft^{2}[/tex]
Total Surface Area of the figure is,= 418+ 198+171+234+81+120
= 1222 [tex]ft^{2}[/tex]
Learn more about surface Area here:
https://brainly.com/question/2835293
#SPJ2
Clare is painting some doors that are all the same size. She used 7 liters of paint to cover 812 doors. How many liters of paint are needed for 1 door?
Answers
Answer:
It would take 1/116 of a liter.
Step-by-step explanation:
If you take 812/7.. You get 116. You then know thats one liter of paint. But you dont want to know what one liter is. You need to know what one door is. So you make that 1/116 which is one door out of the 116 doors in that one liter of paint. Hope this helps.
After finding the third angle of a right triangle if the measure of one of the angles is 25°, prove how you know the measure of third angle.
a. The sum of the measures of a right triangle is 180°. You know that a right angle measures 90°. So, 180 – 90 – 25 = 55.
b. The sum of the measures of a right triangle is 180°. You know that a right angle measures 90°. So, 180 – 90 – 25 = 65.
c. The sum of the measures of a right triangle is 360°. You know that a right angle measures 90°. So, 360 – 90 – 25 = 245.
d. There is not enough information given to solve this problem.
Answers
What is the area of the shaded region in this composite figure?
Answers
Agatha and Sergei are climbing down into a canyon. Agatha is already at 212 ft. Sergei is keeping watch from a platform that is 15 ft above sea level, directly above Agatha. Write an absolute value inequality comparing the distances of Agatha and Sergei from sea level. Who is closer to sea level? Explain your reasoning.
Answers
Answer:
agatha if he is 15 feet above her then he is higher than her at 197 feet
Step-by-step explanation:
There are 75 students in a speech contest. Yesterday, 2/5 of them gave their speeches. Today,3/5 of the remaining students gave their speeches. How many students still haven't given their speeches?
Answers
Answer:25
Step-by-step explanation:
need some help with this please!!
Answers
Answer:
B,C and B,A
Step-by-step explanation:
Line the cordients and go up right,Then left to find your answer.
Which net represents this solid figure?
Answers
Rose bought a length of copper pipe. She used Error Occurred.. yard to repair a water line in her house. How much pipe does she have left? Solve this problem any way you choose.
Answers
Answer:
how much pipe was there at first?
Step-by-step explanation:
HELP MEEEEEEEEEEEE PLEASEEEEEEE
Answers
Answer:
Volume- 3053.63
Step-by-step explanation:
V=4/3πr^3
V=4/3π(9)^3
V=4/3π(729)
V=972π
V=3053.63
Answer:
3,052.08
Step-by-step explanation:
Formula volume sphere; [tex]\frac{4}{3} \pi r^{3}[/tex]
Insert the data: [tex]\frac{4}{3} * 3.14 * 9^{3}[/tex]
write the expression without absolute value symbol. l3x+12l
Answers
Answer:
3x+12
Step-by-step explanation:
The equation is the same with and without absolute value.