Answer:
Part 1
The mistake is Step 2: P + 2·x = 2·y
Part 2
The correct answer is
Step 2 correction: P - 2·x = 2·y
(P - 2·x)/2 = y
Step-by-step explanation:
Part 1
The student's steps are;
Step 1; P = 2·x + 2·y
Step 2: P + 2·x = 2·y
Step 3: P + 2·x/2 = y
The mistake in the work is in Step 2
The mistake is moving 2·x to the left hand side of the equation by adding 2·x to P to get; P + 2·x = 2·y
Part 2
To correct method to move 2·x to the left hand side of the equation, leaving only 2·y on the right hand side is to subtract 2·x from both sides of the equation as follows;
Step 2 correction: P - 2·x = 2·x + 2·y - 2·x = 2·x - 2·x + 2·y = 2·y
∴ P - 2·x = 2·y
(P - 2·x)/2 = y
y = (P - 2·x)/2
Graded Assignment
Unit Test, Part 2: Expressions and Problem Solving
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week.
(a) What is the unknown information?
(b) Let p represent the unknown information. Write an equation to model the problem.
(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work.
(d) How many pounds of potting soil did Emmanuel buy last week?
Answer:
plz help me I beg you
Answer:
1.) Amount of potting soil purchased last week.
2) 2p + 4 = 28
3.) 12 lbs
Step-by-step explanation:
1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.
2.)
Let amount of potting soil bought last week = p
Amount bought this week = 2p + 4
Since amount bought this week = 28
Hence, we have ;
28 = 2p + 4
28 - 4 = 2p
24 = 2p
p = 24 / 2
p = 12
A.) A family spends an average of $3000 on a local vacation, how much money was spent on gas? Gas 4%
divide 3000 by 100. multiply. that by your percentage (4%)
3000 ÷ 100 = 30. 30 x 4 = 120$
Can i have some help please best answer gets brainiest!
Answer:
a=35
Step-by-step explanation:
5x35=175, and 175 divided by 7 is 25 :)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: a = 35}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: 5a \: = 25 \times 7[/tex]
➺[tex] \: 5a = 175[/tex]
➺[tex] \: a = \frac{175}{5} [/tex]
➺[tex] \: a = 35[/tex]
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: \frac{5 \times 35}{7} = 25[/tex]
➺[tex] \: \frac{175}{7} = 25[/tex]
➺[tex] \: 25 = 25[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
find the missing number in the factor tree
for 20 points
i hope you will help
Answer:
see below
Step-by-step explanation:
80 = 4* 20
2*2 2 * 10
2 *5
We are breaking the numbers into primes
2*2*2*2*5
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice. The product of Andrew's age and Chris' age is 66. How old is Beatrice?
Answer:
9
Step-by-step explanation:
A = B + 2
C = B - 3
A x C = 66
A = Andrew
C = Chris
B = Beatrice
Multiply A and c together
(B + 2) x (b - 3)
b^2 - 3b + 2b - 6
b^2 -b - 6 = 66
b^2 - b - 72 = 0
factors of -72b^2 that add up to - b are -9b + 8b
b^2 + 8b -9b - 72
b (b + 8) -9(b + 8)
b = 9 or - 8
b = 9
what is the algebraic expression for 11 times a number x, minus a second number y ?
Answer:1
Step-by-step explanation:
twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.
One of two complementary angles is 35° larger than the other. What is the measure of both angles?
Answer:
Since the two angles are complementary, they add up to 90...
If we call the first one x, then the other must be 90-x...
Since they are 35 different, we write
x = (90 - x) + 35
now solve, and get
x = 90 - x + 35
x = -x + 125
2x = 125
x = 62.5 deg
the other must be
90 - 62.5 = 27.5 deg
José flips a coin two times. If H is heads and T is tails, what is the sample space for this compound event?
A.
H-H, H-T, T-H
B.
H-H, H-T, T-T, T-H
C.
H-T, T-H
D.
H-H, T-H, T-T
Answer:
I think it is D. because it is theoretical
What is the order of the surd 5?
Answer:
5
Step-by-step explanation:
the order of the surd is 5
Answer:
Step-by-step explanation: The order of a surd indicates the index of root to be extracted. In a√n, n is called the order of the surd and a is called the radicand. For example, The order of the surd 5√z is 5.
Step-by-step explanation:
A square that has a side measurement of 7 inches has an area of: *
14 inches
49 inches
49 square inches
7 square inches
Answer:
49 square inches
Step-by-step explanation:
area of a square = l * l
a = 7 * 7
a = 49 square inches
Can someone help with this please??
Answer:
Hannah has 56
Step-by-step explanation:
Hannah receives 7 for every 3rd Zoe gets. Take Zoe's amount, divide it by three, and you get 8. 8*7 is 56.
Which greatest digit should replace n so that the number 342n84 is divisible by 3?
Answer:
9
Step-by-step explanation:
If you want the number to be divisible by three make sure the sum of all the numbers are divisible by three. Add all the numbers you have to see what they make.
3+4+2+8+4=21
So we just need to find the greatest number we can add to that to have it remain divisible by three. A number divisible by three is 30, and we can add 9 to 21 to make 30. Of course, there are other numbers we could add, but nine is the largest one-digit number that would work. Other smaller numbers include 3 and 6.
3+4+2+8+4+9=30
Now we check to see if our number is divisible by three
342984÷3 = 114328
114328 is a whole number so we know it's divisible.
What type of
number is -16 rational irrational whole number integer
Answer:
rational, whole number, integer
Step-by-step explanation:
-16 is:
rational
whole number
integer
Which function is graphed below?
f(x) = –cos(x)
f(x) = cos(x)
f(x) = sin(x)
f(x) = –sin(x)
The function whose graph is plotted below is given by: Option B:f(x) = cos(x)
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The missing graph is attached below.
It is either sine or cosine (as known from the options).
The sin function is 0 at x = 0, so we're sure the function isn't sin or negative sin as 0 would make it fall on 0.
The function is definitely [tex]\cos(x)[/tex] since at x = 0 it is 1 and at x = [tex]\pi[/tex] it is -1 (while if it would be -cos(x), it would be -1 at x =0 and 1 at x = [tex]\pi[/tex] )
Thus, the function whose graph is plotted below is given by: Option B:f(x) = cos(x)
Learn more about cosine functions here:
https://brainly.com/question/14290164
Answer:
B.
Step-by-step explanation:
can someone pls pls help me?
Answer:
T=2.25
Step-by-step explanation:
To find the area of a triangle, you do the length times height, times two. Therefor T=2.25 (36/8, then you get 4.5, divide that by 2, get 2.25, 2.25x8x2=36.)
whats the awnser I need it asap
someone help me................
Answer:
[tex]-z^{2} =-25[/tex]
Step-by-step explanation:
The value of z is given as [tex]-5[/tex]
The expression is given as [tex]-z^{2}[/tex]
Substitute the value of z in the expression:
[tex]=-(-5)^{2}[/tex] {add the value inside the bracket to avoid mistakes}
[tex]=-1[/tex] × [tex](-5)^{2}[/tex]
[tex]=-1[/tex] × [tex]((-5)[/tex] × [tex](-5))[/tex]
[tex]=-25[/tex]
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 100 nails and each large box has 350 nails. The contractor bought a total of 9 boxes that have 2400 nails altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
Answer:The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.
Step-by-step explanation:
Answer:
Let s = the number of small boxes purchased
Let l = the number of large boxes purchased
100s + 350l= 2400
s+l= 9
Part A
Select all true statements about rectangles.
A rectangle always has:
0
A
4 sides
В.
4 angles
C. all sides equal in length
D. all right angles
E opposites sides parallel
Part B
Answer:
A rectangle always has... 4 sides, 4 angles, all right angles, and opposite sides parallel
Answer:
A, B, D, E
Step-by-step explanation:
A 4 sides
В. 4 angles
D. all right angles
E opposites sides parallel
Subtract. write the difference in simplest form (5n - 3) - (-2+7)
Matthew changes $770 into rupees. He receives 40 000 rupees.
How many rupees did he receive for each dollar?
Answer:
About 51.94 rupees (rounded).
Step-by-step explanation:
40000 / 770
Ram's salary is 20% more than Shyam's salary.By what percentage is shyam's salary less than that of Ram's
Please help, I'm about to have a breakdown and I just want to finish
Suppose you draw two coins from a bag containing 10 quarters, 8 dimes, 6 nickles, and 4 pennies. Find the probability of selecting a nickel then a penny with replacing.
Your answer should be in fraction form.
Answer:
answer is 4.6666666....
Answer:
4.66 is the answer ok gshsjudh
In the diagram, the measure of angle 6 is 989
1/2
43
516
817
What is the measure of angle 7?
Answer:
82 degrees is the answer
Step-by-step explanation:
angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus
angle 7 = 180 - 98 = 82 deg
The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.
What is the sum of angle on a straight line?The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.
∠6 = 98 degrees
Therefore,
∠6 + ∠7 = 180°(angles on a straight line)
∠6 = 98 degrees
Hence,
98 + ∠7 = 180
subtract 98 from both sides
98 - 98 + ∠7 = 180 - 98
∠7 = 82 degrees.
learn more on angle on a straight line here: https://brainly.com/question/16025966
A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.
Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?
Your answer should include both the mathematical proof and a written statement.
Answer:
If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.
Step-by-step explanation:
Mathematical Proof :
For proof, we should test it out.
To find the total amount of marbles, we add up all the different colors in the bag.
5 + 5 + 5 + 5 = 20
Drawing 2 blue marbles while replacing the first probability :
The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :
5/20 * 5/20 = 25/400 = 1/16
Drawing 2 blue marbles while NOT replacing the first probability :
The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.
So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.
Written Statement :
If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.
Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.
Answer:
V=168ft³
Step-by-step explanation:
V=
w-6
h-4
l-7
V = 168ft³
PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
Solve for xx. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 58 degree as reference angle
using cos rule
cos 58=adjacent/hypotenuse
0.52=3.6/x
x=3.6/0.52
x=6.92
x=6.9
Find the y-intercept the line on the graph. Plz I need the credit
Answer:
4
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at y = 4
Question 34 of 98
Five friends go to the movies. The price for each ticket is
$6.99. One person thinks the total for all five people will be
around $35.00.
Is this a reasonable estimate? Why?
A. Yes, a reasonable estimate is around 6 . $8 = $48.
B. Yes, a reasonable estimate is around 6. $7 $42.
C. No, a reasonable estimate is around 5 . $9 = $45.
D. Yes, a reasonable estimate is around 5 - $7 = $35.
Answer:
D. Yes, a reasonable estimate is around 5 - $7 = $35.
