Two numbers have a distance of 5 units from 0 on a number line. The numbers can be graphed on the number line as points A and B.
Drag and drop the labels to the correct positions on the number line.
Answer:
Point A is labeled at x=-5 and point B is labeled at x=5.
Step-by-step explanation:
It is given that two numbers have a distance of 5 units from 0 on a number line.
Let the unknown number be x.
Case 1: x is 5 units less than 0.
[tex]x=0-5[/tex]
[tex]x=-5[/tex]
The point A is labeled at x=-5.
Case 2: x is 5 units more than 0.
[tex]x=0+5[/tex]
[tex]x=5[/tex]
The point B is labeled at x=5.
im giving 50 points
Solve the equation.
-4(3 - 2x) + 2x = 2x - 8
A) x = 2
B) x = -1
C) x =
1
2
D) x =
1
3
How do you write 5.425 as a mixed number in simplest form
A ferry traveled 1/6 of the distance between two ports in 3/7 hour. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour?
Which graph represents the equation y=13x−4 ?
Answer: The correct option is graph (A).
Step-by-step explanation: We are given to select the graph that represents the following linear equation :
[tex]y=\dfrac{1}{3}x-4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Comparing with the slope-intercept form y = mx + c of a straight line, we see that
the slope of the line (i) is [tex]m=\dfrac{1}{3},[/tex] and y-intercept, c = -4.
Also, we know that the slope of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Graph (A) :
The points (0, -4) and (3, -3) lies on the line. So, its slope will be
[tex]m=\dfrac{-3-(-4)}{3-0}=\dfrac{1}{3},[/tex]
the point where the line crosses the y-axis is (0, -4).
That is, y-intercept, c = -4.
Since the slope and y-intercept of graph (A) is same as that of line (i), so this option is CORRECT.
Graph (B) :
The points (0, -2) and (3, -3) lies on the line. So, its slope will be
[tex]m=\dfrac{-3-(-2)}{3-0}=-\dfrac{1}{3},[/tex]
Since the slope of graph (B) is not same as that of line (i), so this option is NOT CORRECT.
Graph (C) :
The points (0, -4) and (-3, 3) lies on the line. So, its slope will be
[tex]m=\dfrac{3-(-4)}{-3-0}=-\dfrac{7}{3},[/tex]
Since the slope of graph (C) is not same as that of line (i), so this option is NOT CORRECT.
Graph (D) :
The points (-4, 0) and (-3, 3) lies on the line. So, its slope will be
[tex]m=\dfrac{3-0}{-3-(-4)}=\dfrac{3}{1}=3,[/tex]
Since the slope of graph (B) is not same as that of line (i), so this option is NOT CORRECT.
Thus, graph (A) is the correct option.
Will give brainliest!!! :)
Thank you
PLEASE HELPPPPP
The expression 60(1+x) represents the total bill including the tip. What do the different parts of the expression represent? Match each expression to the correct description.
1) Cost of meal __
2) Tip percentage __
3) Number of friends __
a) x
b) (1+x)
c) 60
Answer:
1) Option c
2) Option b
3) Option a
Step-by-step explanation:
Given : The expression 60(1+x) represents the total bill including the tip.
To find : What do the different parts of the expression represent?
Match each expression to the correct description.
1) Cost of meal __
2) Tip percentage __
3) Number of friends __
Solution :
The expression represents the total bill including the tip is 60(1+x).
When we see the expression,
The cost of the mean is always fixed.
So, Cost of the meal is 60.
Number of friends is unknown.
So, Number of friends is 'x'.
The tip percentage is given by '1+x'.
Which graph shows the solution of 9 - c < 2 or -3c > 15
What is the GCF of 32a and 48b??
Which story problem could be solved using the given equation? 1/5×2/3=m
Lucas needs a wooden strip that is 2/3 yards long for his boat model. He plans to cut the strip into pieces that are each 1/5 yards long. How many pieces can be cut from the 2/3 yard long strip?
Jasmine bought some tiles to put around her patio. Each tile has a length of 2/3 foot and a width of 1/5 foot. What is the area, in square feet, of each tile?
Lucas’s kitten is 23 foot tall. Jake’s kitten is 1/5 foot taller than Lucas’s kitten. How tall is Jake’s kitten?
Karen measured 2/3 cup of milk for a recipe. She then added another 1/5 cup of the milk to the recipe. How much milk did Karen use in the recipe?
The story problem that can be solved using the given equation is about finding the area of a tile with given dimensions.
Explanation:The story problem that can be solved using the given equation 1/5×2/3=m is Jasmine bought some tiles to put around her patio. Each tile has a length of 2/3 foot and a width of 1/5 foot. What is the area, in square feet, of each tile?
To find the area of the tile, we can multiply the length and width of the tile. Plugging in the values from the equation, we have (2/3) * (1/5) = 2/15. Therefore, each tile has an area of 2/15 square feet.
Learn more about Area of a rectangle here:https://brainly.com/question/8663941
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A pianist plans to play 6 pieces at a recital from her repertoire of 26 pieces. How many different recital programs are possible?
The number of different recital programs that are possible is 230230 programs
What is combination?Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.
Combination formula:
ⁿCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time
The information will be illustrated as:
= 26! / (26 - 6)! 6!
= 26! / 20!6!
= 230230
Learn more about combinations on:
brainly.com/question/4658834
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evaluate 2⋅(5^8/5^5)
if 234 players are separated into 18 equal teams,how many players will be on each team?
Sean spelled 13 out of 20 words correctly on his srelling test. Write his test score as a percent.
A culture of 1.08×1015 bacteria is in petri dish A. A culture of 2.7×1011 bacteria is in petri dish B. How many times greater is the number of bacteria in petri dish A than petri dish B? Enter your answer, in standard notation, in the box
Answer:
4,000 times greater 4*10^3
Step-by-step explanation:
5.6×10⁴ in standard notation
What is eight worth in 8.517
Sofia is learning to knit. After her first three stitches, she had to undo the last two. Then she made three more stitches and again, had to undo the last two. If this pattern continues, how many stitches will Sofia have to make before she has six good stitches?
What two integers is 87 between
Answer:
43 and 44
Step-by-step explanation:
which of these skills do you think you could teach someone else select all that apply
A. finding the square and roots of numbers
B. identifying rational and irrational numbers
C. comparing values of rational and irrational numbers
D. evaluating perfect squares and cubes
E. using roots to represent solutions to equations
Answer:
Every answer is correct lol
write a word problem that can be solved by ordering three decimals to thousandths include a solution
Help please!
-4x - 11
What is the answer is x = -15
A. -71
B. -49
C. 49
D. 71
Choose the symbol that completes the statement.
6/8 ____ 8/10
A: <
B: >
C: =
The sequence that begins with 3, where each succeeding term is twice the preceding term
Graph
−7y+8=21x−6
.
Answer:
y=-3x+2
To make it easier work the problem out first to get it to y=mx+b now graph it
Step-by-step explanation:
-7y+8=21x-6
-7y=21x-6-8
-7y=21x-14
y=-3x+2
Which distributive property represents the area of the rectangle?
(3 x 3) + (3 x 4)
(3 x 3) + (3 x 9)
(9 x 3) + (6 x 9)
(3 x 3) + (3 x 6)
A point P has coordinates (-8, 2). What are its new coordinates after reflecting point P across the x-axis?
The line of best fit drawn on the plot shown is used to predict the number of tickets sold on a certain day. Use the two points shown on the line of best fit to calculate its slope to the nearest tenth.
Slope=
MS Nelson had 5,280 craft sticks. She gave all of the craft sticks to her 22 students. Each student received the same number of craft sticks. I need the answer to part b and c. I already did a and half of b
Need help with this problem thank you!
Solve 6x-17= k for x