Answer:
The algebraic expression that represents the total amount of money (in dollars) in a cash register containing p pennies is:
Total amount = p/100 dollars
Note that to convert pennies to dollars, we divide the number of pennies by 100.
Step-by-step explanation:
5(2x –6) + 20 = 10 (4 points)
5(2x-6)+20=10
Distribute
(5)(2x)+(5)(-6)+20=10
10x-30+20=10
Combine like terms (10x)+(-30+20)=10
10x-10=10
Add 10 to both sides
10x-10+10=10+10
10x=20
x = 20/10
x= 2
I hope that's help !
quarts
gallons
cups
Answer: It is an isometry.
The transformation is done over a line of reflection.
Step-by-step explanation:
A reflection is a transformation that flips a figure on the coordinate plane across a given line without changing the shape or size of the figure.
From the definition of reflection, the figure and its image are congruent ,thus it is an isometry.
It does not slides a plane or flips a plane and does not changes the size of the figure.
It is an isometry and the transformation is done over a line of reflection. Option (a) and option (c) is correct.
Further explanation:
Given:
The statements about reflection are as follows,
(a). It is an isometry.
(b). It slides a plane.
(c). The transformation is done over a line of reflection.
(d). It flips a plane about a fixed line.
(e). It changes the size of the figure being reflected.
Explanation:
Isometryis a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.
Reflection is a transformation. The preimage is just flipped along a line of reflection to get a new image.
It is an isometry and the transformation is done over a line of reflection.
Option (a) is correct.
Option (b) is not correct.
Option (c) is correct.
Option (d) is not correct.
Option (e) is not correct.
Learn more:
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Number System
Keywords: statements, true, reflection, isometry, slides, plane, transformation, done, over, line of reflection, flips, plane, fixed line, changes, the size, reflected, translation.
Step 2: x = 30 – 5
Step 3: x = 25
Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)
Part B: How many solutions will this equation have? (4 points)
Part A: Charlie's answer is incorrect. Part B: There is only 1 solution for this equation.
A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
Charlie solved an equation;
Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25
Part A: Charlie's answer is incorrect.
In step 2 of Charlie's answer he subtracted 5 from each side. Since 5x is multiplication so, he must divide each side by 5 to get x by itself.
Step 1: 5x = 30
Step 2: x = 30/5
Step 3: x = 6
Part B: There is only 1 solution for this equation.
Learn more about linear equations;
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B. (-3, 1), (6,2), (8,3), (6,4), (3, 5)
C. (5, 1), (4,2), (3, 3), (2, 4), (1,5)
D. (7,2), (5,3), (3, 4), (1,5),(-1, 6)
Answer:
B. (-3, 1), (6,2), (8,3), (6,4), (3, 5)
Step-by-step explanation:
This relation is not a function because the number 6 repeats twice.