The linear equation of the line will be y= 1/3x + 3. The correct option is C.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = (4 - 1)/(3 + 6) = 3/9 = 1/3
y = mx + b
b = y - mx
b = 1 - 1/3(-6)
b = 1 + 2
b = 3
The equation of the line will be calculated as:-
y = 1/3x + 3
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Suppose both employees work the same amount of time determine which employee earns more money
Marcus sorts his 85 baseballs cards into stacks of 9 cards each. How many stacks of 9 cards Marcus make
Marcus can make 9 full stacks.
To determine how many stacks Marcus can make, we need to perform a division of the total number of baseball cards by the number of cards per stack.
Total number of baseball cards: 85.
85 ÷ 9.
= 9 (with a remainder of 4.)
This means Marcus can make 9 full stacks of 9 cards each with 4 cards left over.
The histogram shows the scores of students on their most recent history test. How many students scored 80% or better on the test?
The number of students who scored 80% or better can be partially determined from the histogram data, with five students explicitly scored between 90 and 99%. The exact number scoring between 80 and 89% isn't provided, but those students would also be included in the count.
Explanation:To determine how many students scored 80% or better on their most recent history test, we need to focus on the histogram's data for the ranges of 80 to less than 90 and 90 to less than 100. According to the information provided, five students scored between 90 and 99% (A range). However, the exact number of students who scored between 80 and 89% is not directly stated. Nevertheless, the data suggest that most students scored within the 70-89% range, with some scoring in the 60-69% range and a few in the 90-100% range.
Given that five students received an A (90-99%), and assuming the distribution includes students scoring between 80-89%, we would also count those students. Without the specific number for the 80-89% range, it's crucial to analyze the provided data to estimate or directly state numbers within this context. Thus, our primary focus for students who scored 80% or better combines those explicitly mentioned five students with an undefined number scoring within the 80-89% range.
Can anyone plain how to do this?
what did the baseball mitt say to the ball
Which table shows a proportional relationship between x and y? x 1 5 8 10 y 15 75 120 150 x 4 6 8 10 y 6 8 10 12 x 3 9 10 15 y 1 3 4 5 x 2 3 5 6 y 3 4 7 9
Step 1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Step 2. Write the inequality and show all work to solve the inequality.
Step 3. Graph the solution to your inequality on a number line.
Step 4. Explain what your solution means in the context of the problem.
1 -A company has 10 acres of land for their company headquarters. They want to increase their headquarters to at least 56 acres of land. How many acres can the company purchase.
2- 10 acres + X ≥ 56 acres
-10 -10
----------------------------
0 46
X = 46
3- ß---|--------------------------------------------------------------à
46
4- 46 is the amount of acres the company needs to buy in order to get at least 56 acres added
Doug’s family buys 7 postcards while on vacation. Each postcard costs 0.25$ including tax. How can Doug use place value patterns to check his answer.
What type of angles are these two angles?
48°, 132°
complementary
supplementary
parallel
none of the above
A student has a daily reading productivity levels of 1 chapter while at a computer lab, 5 chapters while at a coffee shop, and 7 chapters while at the library. If 1/7 of the day is spent at a computer lab, 5/14 at a coffee shop, and 1/2 at a library, what is the total daily reading productivity level of the students?
The total daily reading productivity level of the students is 1 .
It is required to find the total daily reading productivity level of the students.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
GIven:
computer lab= 1 chapter
coffee shop=5 chapters
library shop=7 chapters
According to given question we have,
1/7 + 5/14 +1/2
= 2/14 + 5/14 + 7/14
=14/14
=1
Therefore, the total daily reading productivity level of the students is 1 .
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Which ordered pairs are a solution are a solution to the equation?
y = 8x
Select all that apply
a) (3, -24)
b) (2,16)
c) (1,8)
d) ( -16,-2)
e) (-3,-24)
A submersible vessel at an elevation of -95 feet descends to 5 times that elevation. What is the vessel's new elevation?
Answer:
aaa
Step-by-step explanation:
In four days, your family drive 5/7 of a trip. Your rate of travel is consistent throughout the trip. the total trip is 1250 miles. In how many days will you reach your destination?
what is 3/4× 4/5÷1/4÷1/2
Given f(x)=4x^2-3x+1 and g(x)=2x-5 , find f(x)+g(x) .
A.) 4x^2-5x+6
B.) 4x^2-x+6
C.) 4x^2-5x-4
D.) 4x^2-x-4
which quadrant is the point (5.2,-1.7) Located?
IV
II
III
I
The graph shows the number of jam jars filled by two different machines over several minutes. A graph measuring number of jars and time. Two lines, labeled Machine A and Machine B, exit the origin to show that distance increases as time increases The equation y = 3x represents the number of jars, y, Machine A fills in x min. Which equation could represent the number of jars filled by Machine B?
y = 1.5x
y = 3x
y = 6x
y = 8x
plot -1 1/3 on a number line
-4(3x-1)=12-8x and plz show how you got it
In a dealership vehicle storage, there are 4 sections of vehicles, 10 rows per section, and 1,200 vehicles for sale. Answer #5-6. 5. If the vehicles are divided evenly among the sections, how many vehicles are in each section? 6. If the vehicles are divided evenly among the rows in each section, how many vehicles are in each row?
10 people want to share 84 pounds of candy so that each person gets the same amount. Exactly how many pounds of candy should each person get?
Determine the better buy by comparing unit rates.
1. 20 pens for $1.60 or 25 pens for $2.25
2. 13 berries for $2.60 or 17 berries for $3.06
OF bisects EOF. EOF=y+30 and FOG=3y-50. solve for y.
Setting the given equations equal to each other, we can solve for y and determine that y equals 40.
Explanation:The question states that OF bisects EOF, which means that EOF and FOG are equal. Hence, you can set the two equations equal to each other to solve for y.
EOF = y + 30FOG = 3y - 50Set EOF equal to FOG:
y + 30 = 3y - 50
To solve for y, first simplify the equation by subtracting y from both sides:
30 = 2y - 50
Then add 50 to both sides to isolate the y variable on one side:
80 = 2y
Finally, divide both sides by 2 to solve for y:
y = 40
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any measurement is accurate within 0.5 of the measurement unit. For example, if your pencil to the nearest inch, your measurement could be 0.5 inch too long or 0.5 inch too short. Write an absolute value inequality that shows the maximum and minimum actual measure of a nail measured to be 4.4 centimeters to the nearest 0.1 centimeter
list the independent and dependent variables for each situation:
(a) my height depends on my age.
(b) the amount of sleep I get determines what mood I am in.
(c) the amount of water in a bathtub is a function of the amount of time the water has been running.
(d) my distance from home varies with my speed.
(e) the amount of homework I do affects my average speed.
(f) the amount of homework I do depends on how much is assigned.
What is a non example for volume in math?
-3(y-5)=24 What is y ?
The shelf is made of 3 pieces of wood, each 0.3 meter wide. There is also 0.05 meter of space between the shelf and the wall on each side. What is the width, in meters, of the closet?
A. 0.4
B. 0.8
C. 1
D. 1.9
The correct answer is: C: 1 meter. The closet width is 1 meter, including the contribution from the three pieces of wood and the spaces on each side.
To determine the width of the closet, we need to add up the widths of the three pieces of wood and the spaces on each side.
Given:
- Width of each piece of wood: 0.3 meters
- Number of pieces of wood: 3
- Space on each side between the shelf and the wall: 0.05 meters
Now, calculate the total width:
[tex]\[ \text{Total Width} = (\text{Width of one piece of wood} \times \text{Number of pieces of wood}) + (\text{Space on one side} \times 2) \][/tex]
[tex]\[ \text{Total Width} = (0.3 \times 3) + (0.05 \times 2) \][/tex]
[tex]\[ \text{Total Width} = 0.9 + 0.1 \][/tex]
[tex]\[ \text{Total Width} = 1 \, \text{meter} \][/tex]
The width of the closet is 1 meter, considering the combined width of the three pieces of wood and the spaces on each side.
Therefore, the correct answer is: C: 1 meter. The closet width is 1 meter, including the contribution from the three pieces of wood and the spaces on each side.
Miguel traveled 340 miles during a 9 hour road trip. What was his average speed during the trip (Round to the nearest tenth)?
help me please and thanks