Arthur sits in the park reading a newspaper, then starts walking home at a constant pace. He stops for bagels, then walks the rest of the way home.
Use the graph to answer questions about this scenario.
1. What does the x-axis represent in this situation?
Write your answer in the space below.
2. What does the y-axis represent?
Write your answer in the space below.
3. During which parts of the graph does Arthur's distance from home decrease?
Write your answer in the space below.
4. When is Arthur waiting for bagels? Explain how you know.
Write your answer in the space below.
5. If Arthur's pace had not been constant after leaving the bagel shop, which part of the graph would change? Explain how that part of the graph would change.
Write your answer in the space below.
6. If Arthur had spent less time reading his newspaper, which part of the graph would change? How would that part change?
Write your answer in the space below.
Answer:
1. The x-axis represents the time duration Arthur spends on the different activities
2. The y-axis represents Arthur's distance from a reference location (home)
3. During parts 2 and 4 Arthur's distance from home decreases
4. Arthur is waiting for bagels in part 3
5. i) The part of the graph that would change if Arthur's pace had not been constant after leaving the bagel shop is part 4
ii) Where by the Arthur's pace is not constant in part 4, there would be more than one different slopes along part 4 and part 4 will not be straight
6) i) If Arthur had spent less time reading his newspaper, the part that would change is part 1
ii) The horizontal length of each part is related directly to the duration of time spent in that part
For a reduction of time in part 1, the length of part 1 will be reduced proportionately to allow for the reduction of time spent in the part
Step-by-step explanation:
Answer:
1. What does the x-axis represent in this situation?
The x-axis represents time.
2. What does the y-axis represent?
The y-axis represents distance.
3. During which parts of the graph does Arthur's distance from home decrease?
Sections 2 and 4.
4. When is Arthur waiting for bagels? Explain how you know.
Section 3. The flat areas represent times when Arthur is not moving. We know that the first flat area shows Arthur reading his newspaper, and the third is when he reaches home; so the second flat area represents the time in which Arthur is waiting for bagels.
5. If Arthur's pace had not been constant after leaving the bagel shop, which part of the graph
would change? Explain how that part of the graph would change.
The part of the graph that would change is part 4. If his pace was not constant, section 4 would not be uniform, and would have many abnormalities. Essentially, Arthur would be randomly speeding up and slowing down.
6. If Arthur had spent less time reading his newspaper, which part of the graph would change? How would that part change?
If Arthur had spent less time reading his newspaper, the whole graph would change. Section one would be shorter, and the entire line would also be shorter. The distance on the graph from the beginning of section 1 to the end of section 5 would be reduced.
What is the value of x in the equation 0.02x + 0.7 = 0.8?
Answer:
5
Step-by-step explanation:
0.02x=0.8-0.7
0.02x=0.1
x=5
Answer:
x = 5
Explanation :
0.02(5) + 0.7 = 0.8
0.1 + 0.7 = 0.8
Is (6, -6) a solution to the system
- 4x – 2y = -12
4x + 8y = -24
Yes
No
Answer:
[tex] - 4x - 2y = - 12 \\ 4x + 8y = - 24 \\ \\ 6y = - 36 \\ y = \frac{ - 36}{6} = - 6 \\ \\ - 4x - 2( - 6) = - 12 \\ - 4x + 12 = - 12 \\ - 4x = - 12 - 12 \\ - 4x = - 24 \\ x = \frac{ - 24}{ - 4} = 6 [/tex]
yes it's a right answer
14 Solve for the value of x.
3
(2x - 10)
(4x + 16)
Given h(x) = -7x + 1, find x if h(x) = 50
Answer:
-7
Step-by-step explanation:
-7(-7) is 49 and 49 + 1 = 50
Answer:
h(50)=-349
Step-by-step explanation
Substitute all x values with 50
h(50)= -7 (50)+1
Simplify
h(50)= -350+1
Simply even further
h(50)= -349
Hope this helps!
Austin is working two summer jobs, making $12 per hour washing cars and $13 per hour landscaping. Austin must earn a minimum of $150 this week. Write an inequality that would represent the possible values for the number of hours washing cars, ww w, and the number of hours landscaping, ll l, that Austin can work in a given week.
Answer:
12w+13l≥150
Step-by-step explanation:
From the information given, the inequality would indicate that the amount Austin receives from washing cars plus the amount he receives from landscaping that are equal to the price per hour of each job for the number of hours would be greater than or equal to $150:
12w+13l≥150
Simplify 4x + 3(5x) + 4y - x =
Answer:
= 18x + 4y hope this helps :)
Step-by-step explanation:
Answer:
18x+4y
Step-by-step explanation:
The value of x is???
Step-by-step explanation:
x/9 = 9/15
x = 9(9)/15
x= 5.4
What's the equation of the line that passes through the points (7,4) and (-7,1)
Answer:
y=-5/14x-3/2
Step-by-step explanation: Thats the equation
I really hope this answer make sense for you
Trevor deposited $8,000 into a savings account that earns 4% compound interest. How much interest did he earn after three years?
Answer:
$8998.91
Step-by-step explanation:
8000*1.04^3
it is to the power of 3 because this is the number of years
it is multiplied by 1.04 because there is 4% interest and it is 1.something because you want to add tp the 8000 so you have to multiply it by more than 1
it is 04 because this is where the units go (if it was 40% then the multiplier would be 1.4
Solve for the angle denoted by the "?". Round to the nearest tenth. *
(10 Points)
0.7 degrees
35.4 degrees
54.6 degrees
45.3 degrees
WILL MAKE BRANLIEST
Answer:
Step-by-step explanation:
tanx=27/38
take the inverse...
tan^-1(27/38)
≈35.4 degrees
Select all the values that are equivalent to the given expression. Express your answer in scientific notation.
(9.6 X 103) X (6.7 X 10)
6.432 X 105
6.432 X 106
64.32 x 105
64.32 X 106
(9.6 X 6.7) X (103 X 10)
the equivalent expressions are:
(9.6*6.7)*(10³*10) 64.32*10⁴ 6.432*10⁵And the expression in scientific notation is the last one in the bullet points.
Which are the values equivalent to the given expression?Here we start with the expression:
(9.6*10³)*(6.7*10)
Where both numbers are in scientific notation, notice that we can write that product as:
(9.6*10³)*(6.7*10) = (9.6*6.7)*(10³*10) = 64.32*10⁴
Now, remember that in scientific notation, we only can have a single digit in the left of the decimal point, so we can rewrite:
64.32*10⁴ = 6.432*10⁵
So the equivalent expressions are:
(9.6*6.7)*(10³*10) 64.32*10⁴ 6.432*10⁵And the expression in scientific notation is the last one in the bullet points.
Learn more about scientific notation:
https://brainly.com/question/5756316
#SPJ1
2x-5(x-4)=-7+3x+15 pls help
Asap
Answer:
x=2
Step-by-step explanation:
2x-5x+20=-7+3x+15
-3x+20=8+3x
20-8=3x+3x
12=6x
x=2
Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cups Mixture B 6 cups 6 cups Mixture C 4 cups 12 cups Mixture D 5 cups 6 cups Which mixture has the lowest ratio of blue paint to white paint? mixture A mixture B mixture C mixture D
Answer:
The mixture C is the correct option
Step-by-step explanation:
According to the given scenario, the calculation is as follows:
For Mixture A
Blue Paint - 5 cups
White Paint - 12 cups
The ratio between them is 5:12
For Mixture B
Blue Paint - 6 cups
White Paint - 6 cups
The ratio between them is 6:6 = 12:12
It came by multiply the numerator and denominator by 12
For Mixture C
Blue Paint - 4 cups
White Paint - 12 cups
The ratio between them is 4:12
For Mixture D
Blue Paint - 5 cups
White Paint - 6 cups
The ratio between them is 5:6 = 10:12
It came by multiply the numerator and denominator by 12
As it can be seen that in all four mixtures the denominator is the same so for calculating the lowest ratio we have to see the small value in the numerator
As it can be seen that there is a small value of 4
hence, the mixture C is the correct option
Answer:
C mixture
Step-by-step explanation:
which day was the weather forecast most accurate
DAY degrees above (+) or below (-) forecast
monday +4
tuesday -6
wednesday +7
thursday -2
Answer:
thursday
Step-by-step explanation:
so the complete 100% accurate answer would be 0, youd have to pick the closest to that which is -2.
Answer:
The answer is Thursday -2.
Step-by-step explanation:
on edge
could somebody help me please
Answer:
Maybe 32
Step-by-step explanation:
if payton has an 73% for a grade and got and 78% on a test does it lower or rises her grade?
Help please!!! ON THISSS (i will report you if not answered seriously) :))
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]XCV \: \: angle = \frac{XWV \: \: arc}{2} \\ [/tex]
Multiply sides by 2
[tex]2 \: XCV \: \: angle = XWV \: \: arc[/tex]
[tex]XWV \: \: arc = 2 × XCV \: \: angle \\ [/tex]
[tex]XWV \: \: arc = 156°[/tex]
_________________________________
[tex]XWV \: \: arc + VCX \: \: arc = 360° \\ [/tex]
[tex]156° + VCX \: \: arc = 360°[/tex]
Subtract sides 156°
[tex]-156° + 156° + VCX \: \: arc = -156° + 360° \\ [/tex]
[tex]VCX \: \: arc = 204°[/tex]
_________________________________
[tex]XWV \: \: angle = \frac{XCV \: \: arc}{2} \\ [/tex]
[tex]17x = \frac{204}{2} \\ [/tex]
[tex]17x = 102[/tex]
Divide sides by 17
[tex] \frac{17x}{17} = \frac{102}{17} \\ [/tex]
[tex]x = 6[/tex]
_________________________________
Sum of the interior angles of XWVC equal 360° .
Thus in XWVC :
[tex]X + W + V + C = 360°[/tex]
[tex](9y) + (17x) + (6y) + (78°) = 360° \\ [/tex]
[tex]15y + 17x + 78° = 360°[/tex]
[tex]15y + 17(6) + 78° = 360°[/tex]
[tex]15y + 102° + 78° = 360°[/tex]
[tex]15y + 180° = 360°[/tex]
Subtract sides 180°
[tex]15y + 180° - 180° = 360° - 180° \\ [/tex]
[tex]15y = 180°[/tex]
Divide sides by 15
[tex] \frac{15y}{15} = \frac{180}{15} \\ [/tex]
[tex]y = 12[/tex]
_________________________________
[tex]X = 9y[/tex]
[tex]X = 9(12)[/tex]
[tex]X = 108°[/tex]
[tex]V = 6y[/tex]
[tex]V = 6(12)[/tex]
[tex]V = 72°[/tex]
[tex]W = 17x[/tex]
[tex]W = 17(6)[/tex]
[tex]W = 102°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Identify the x- and y- intercepts of the line: 6x−3y=24
What is an equation of the line that passes through the point (−2,−2) and is parallel to the line 5x−y=4?
Answer:
It is -5
Step-by-step explanation:
Answer: y=5x+8
Step-by-step explanation:
first you solve for y:
5x - y = 4
-5x -5x
↓
[tex]\frac{-y}{-1}[/tex] = [tex]\frac{-5x+4}{-1}[/tex]
↓
y = 5x - 4
slope of given line: 5
slope of a parallel line: 5
plug in slope:
y = 5x + b
find b, which is 8 :)
plug it in!
y = 5x + 8
Trapezoid ABCD is shown. What is the length of diagonal BD?
a. 2 units
b. 5 units
c.10 units
d. 14 units
Answer:
10 I think-
Step-by-step explanation:
hope this helped :D
This may be right, this may be wrong
Simplify the expression: (n-8)-(-2n+2)
Step-by-step explanation:
3 n - 10
Answer:
3n-10
Step-by-step explanation:
Distribute
(n-8)-(2n+2)
(n-8)+2n-2
Eliminate Perinthesis
n-8+2n-2
Subtract
n-10+2n
Combine like terms
3n-10
A business has a 200 ft wall and places 6 ft letters on the center of an exterior wall to spell SALE. If there is 1ft between each letter, where do they start the letter S?
Answer:
200 - 6 = 194
194 / 2 = 97
So the wall pretty much will be
]
]
]
] 97 fT
]
]
S
A
L
E
]
]
] 97 fT
]
]
Step-by-step explanation:
Rewrite
4x-8y=16 in slope intercept form.
which shows the price of a $35 video game after a mark up 27%
Answer:
Step-by-step explanation:
35*27%=9.45 mark up
35+9.45= 44.45 total cost
Answer:
The answer is $44.45
Step-by-step explanation:
You change the percent into a decimal so it would be .27 then multiply the .27 to the $35 and you will get $9.45. Then you add the $9.45 to the $35 and you will get the answer.
How to find missing angles
Find 3028 ÷ 150. Write the answer as a mixed number in simplest form.
Answer: 20.1866666667 as a mixed number is 20 14/75
Step-by-step explanation:
prettyy pretty help :):) ?
Answer: B
Step-by-step explanation:
8 cubed in standard form and exponential form
Answer:
so 8 cubed (8 × 8 × 8) in standard form is: 512so 8 cubed (8 × 8 × 8) in exponential form is: 8³Step-by-step explanation:
As we know that
The cube of any given number is that number times itself.
For example, 8 cubed, denoted by 8³ is equal to 8 × 8 × 8.
An exponent basically indicates the number of times we must multiply the base number. For example, to compute 8³, we multiply 3 three times (8×8×8).
so 8 cubed (8 × 8 × 8) in standard form is: 512so 8 cubed (8 × 8 × 8) in exponential form is: 8³share 126 in the ratio 2:5
Answer:
first share 2x=36
Second share=5x=90
Step-by-step explanation:
Ratio 2:5
Share=126
Let first share=2x
Second share=5x
So 2x+5x=126
7x=126
X=126/7
X=18
So first share 2x=36
Second share=5x=90
