20 points! o(*￣▽￣*)\
Write a linear equation in slope-intercept form to represent the data shown in this table.
Bicycle Rental Costs
Time, x(hours) Total cost, y(dollars)
1 $8
2 $16
3 $24
Show your work.
Answer:
[tex]\displaystyle y=8x[/tex]
Step-by-step explanation:
We are given a table and we want to determine a linear equation (in slope-intercept form) that represents this table.
So, we will first need to determine the slope. We can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are two points.
We have three points: (1, 8), (2, 16), and (3, 24).
Let’s pick two. We can use (1, 8) and (2, 16).
So, let (1, 8) be (x₁, y₁) and let (2, 16) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{16-8}{2-1}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{8}{1}=8[/tex]
So, our slope is 8.
Now, we can determine the equation using point-slope form:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
Where m is our slope and (x₁, y₁) is a point.
We know that the slope is 8, so we will substitute 8 for m.
We can use any of our three points for the point. Let’s use (1, 8) for consistency. So, let (1, 8) be (x₁, y₁). Substitute appropriately:
[tex]\displaystyle y-8=8(x-1)[/tex]
Solve for y. Distribute the right:
[tex]\displaystyle y-8=8x-8[/tex]
Add 8 to both sides:
[tex]\displaystyle y=8x[/tex]
And we have our equation.
Notice that this is a direct variation or proportional equation as we don’t have a y-intercept.
A 2- pound package of shredded cheese is $6.98. A ½ - pound package of shredded cheese is $1.98. What is the difference in the cost per pound between the larger and smaller packages of shredded cheese?
The difference in the cost per pound between the larger and smaller packages of shredded cheese will be $0.47.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A 2- pound package of shredded cheese is $6.98.
And, A ½ - pound package of shredded cheese is $1.98.
Now,
Since, A 2- pound package of shredded cheese is $6.98.
So, A 1- pound package of shredded cheese = $6.98 / 2
= $3.49
And, A ½ - pound package of shredded cheese is $1.98.
So, A 1 - pound package of shredded cheese = $1.98 x 2
= $3.96
Thus, The difference in the cost per pound between the larger and smaller packages of shredded cheese = $3.96 - $3.49
= $0.47
Therefore, The difference in the cost per pound between the larger and smaller packages of shredded cheese will be $0.47.
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How do I solve number 4 and 5?
Answer:
Ummm...
Step-by-step explanation:
Answer:
4)71-x=180
x=109
5)60-x=180
x=120
Step-by-step explanation:
4) 32+72=109, 109-180=71, 71-180=109
71 is the last measure of the triangle so you just subtract that from 180.
5)180-60=120
A man's shoe size is approximately three times his foot length in inches, minus twenty-two. What would be the equation that could represent his shoe size, y, in terms of inches, x.
Answer:
(3y)x - 22
Step-by-step explanation:
mans shoe size 3 times his foot
-22
(3y)x - 22
Each pair of points lies on a line with the given slope. Find y.
Answer:
3/4
Step-by-step explanation:
If slope is 1/4, you have to assume it is multiplied by x. x in the second coordinate is 3. So you place in
1/4(x)=y
1/4(3)=y
3/4=y
And the other one is incorrect
1/4(x)=y
1/4(7)=y
1 3/4 =y
Hope This Helps
Help!!! PLLLLEASE help me ASAP!!!!
The following are daily high temperatures (℉) in Auckland, New Zealand:
75 67 83 90 79 74 70 71 72 78 76 67 66 80 77 77 84 74
1. Using the data above, make a stem-and-leaf plot.
Step-by-step explanation:
78 76 67 66 80 77 77 84 74
correct them
Answer:
6 6, 7, 7
7 0, 1, 2, 4, 4, 5, 6, 7, 7, 8
8 0, 3
9 0
Step-by-step explanation:
If you don't know how to make a stem and leaf plots this how. First you will draw a T-chart then you put the first integer or 10th place number on the left and the ones place number on the right.
Can anyone help me with this one
Answer:
I think the slope would be 10/1
Step-by-step explanation:
You can kinda tell because the line goes up 10 and right one
Answer:
no because rise over run. it should be 10.
Step-by-step explanation:
the y axis is spaced out by 10 every unit and the x axis is by 1.
she goes over 3 and up 30.
rise(y) over run(x)
30÷3 =10
10/1
Y over X.
After several weeks of working at the grocery store, Mark has been able to put $790 into his savings account. After he withdrawals $300 for new tires, he decides to start putting 15% of his weekly earnings back into his savings account.
How many whole weeks will it take Mark to restore his savings account to at least $790?
weeks
Answer: 490
Step-by-step explanation:
Help! please!! (Math)
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
six and two thirty thirds kilometers
five and twenty five thirty thirds kilometers
six and twenty five thirty thirds kilometers
six and twenty thirty thirds kilometers
Answer:
6 2/3 or 6 20/30
Step-by-step explanation:
8 2/3 = 8 22/33
1 10/11 = 1 30/33
8 22/33 = 7 52/33
7 52/33 - 1 30/33 = 6 20/30 = 6 2/3
(33 is the common denominator)
hope this helped (:
I wil give brainlyest Which equation represents this situation?
Charlie worked 1.5 hours less than Dirk. Together, they worked a total of 25 hours. Dirk worked h hours.
h−2.5=25
h+(h+1.5)=25
h+(h−1.5)=25
h−1.5=25
Answer: h-1.5=25
Step-by-step explanation:
HELP THIS IS DUE TODAYSDIOWSD
Answer:
1. price of one pound is 4 dollars
2. 0.25 pounds
Step-by-step explanation:
Answer:
A) 1 = 4 and 0.25 = 1
B) 6.25
Step-by-step explanation:
For question A 4 = 16
divide it by 4 you get 4 pretty simple
and do it again you get 0.25
For question B you multiply 25 by 4 and you get 100
sorry for the mistake
(02.06)
The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you determine how many days are equal to 54 hours.
1 day
24 hours
12 hours 12 hours
(3 points)
1 and 1 over 2. days
2 days
2 and 1 over 4. days
2 and 1 over 2. days
Answer:
1 and 1 over 2
Step-by-step explanation:
Which of the following is not a function of the skeletal system?
a. makes red blood cells
b. mineral storage
c. provides protection
d. moves the body
Answer:
I think D.
Step-by-step explanation:
The bone marrow makes the red blood cells, the skeletal system provides protection, and stores minerals.
Answer:
D hopes it helps
Step-by-step explanation:
PLS HELP ME!!! 10 POINTS FOR THE EXPLAINTION. The question is below:
The largest sandwich ever made weighed 5,440 pounds. If a regular sandwich weighs approximately a half pound, what fraction of a regular sandwich do you get?
Answer:
1/2
Step-by-step explanation:
Explain how the activity supports the skill.
The activity i chose is track and the skill it supports it speed can someone please explain how track supports the skill speed please!
RE-ASKED
Please answer these questions!
Thanks a lot!
0.3:2=d:8 find d
i'll mark brainliest if you are correct.
Answer:
1.2
Step-by-step explanation:
0.3/2 = d/8
multiply 0.3 by 4 which is 1.2 because 2 * 4 is 8
Bob paid $5.60 for 0.8 lb of fresh peaches. What is the constant of variation?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
y ∝ 7x
y = 7x
Where y is the cost of the fresh peaches and x is the number of pounds.
The constant of variation is 7.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Bob paid $5.60 for 0.8 lb of fresh peaches.
This means,
0.8 lb = 5.60
Divide 0.8 on both sides.
1 lb = 5.60/0.8
1 lb = $7
Now,
y ∝ 7x
y = 7x
Where y is the cost of the fresh peaches and x is the number of pounds.
The constant of variation is 7.
Thus,
y ∝ 7x
y = 7x
Where y is the cost of the fresh peaches and x is the number of pounds.
The constant of variation is 7.
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How do you solve number 4 and 5?
Answer:
4= 109 degrees
5= 120 degrees
Step-by-step explanation:
hope this heps
A cubehas a mass of 9 grams and each side is 3 cm3. What is the density of the sample?
a.0.33 g/mL
b.36g/m
Lc.3g/mLd.18g/mL
(I know this aint math but no one answers science stuff -_-)
what is the opposite of -2/3? explain.
Which of the following are true to subtract fractions?
A Keep the denominators different, subtract the numerators, subtract the denominators
B Find the LCM, subtract the numerators, subtract the denominators
C Find the LCM, subtract the numerators, keep the denominators the same
D Find the GCF, subtract the numerators, keep the denominators the same
Answer:
I think it is A
Step-by-step explanation:
Because I am learning division in school right now and I asked my teacher if she could explain how to subtract in division and she said most of the stuff on a so that is why I think it A
Answer:
I think it is C
Step-by-step explanation:
Because you are supposed multiply and then subtract
Correct answer will get brainliest!! A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. What is its volume?
The volume should be 720.
Given that,
A rectangular prism has dimensions of 8 cm by 9 cm by 10 cmBased on the above information, the calculation is as follows:
[tex]Volume = 8\times 9\times 10[/tex]
= 720
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Chart and assignment above, any actual help is appreciated!! Eighth grade math :)
1. How many cars per day does Car Mart sell? How did you use the table to find this rate?
2. How many cars per day does Winston's sell? Explain how you found this rate.
3. Which dealership sells more cars per day? How many more?
4. Which dealership started with more cars? How many more cars did that dealership start with?
Explain how you found your answer.
1. Car Mart sells 11 cars a day.
2. Winston's sells 10 cars per day.
3. Car Mart sells one more car per day.
4. Winston started with more cars.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Rate for Winston auto dealer is (32 - 12)/(3 - 5) = - 10.
Rate for cart mart is (32 - 43)/(3 - 2) = - 11.
Car Mart sells 11 cars a day.
Winston's sells 10 cars per day.
Car Mart sells more cars per day.
As cart mart has 43 crs left on the second day he must had 10 more cars on the starting day which is 53.
As Winston had 32 cars on the 3rd day it must had (32 + 11 + 11 ) = 54 cars on the started day so Winston started with more cars.
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What is 4 with the exponent of 3 and 2 with the exponent of 6 simplified?
Carla and George each went hiking.The expressions 4(ℎ + 2) – 2ℎ and 3(2 + ℎ) represent the respective distances Carla and George hiked each day. On what day number h will their distance hiking be the same?
plz help
Answer:
day 2
Step-by-step explanation:
4(h+2)-2 is 2h+8 and 3(2+h) is 3h+6, and if you do guess and check, when you fill h in as 2, both expressions equal 12.
On the 2nd day, their distance hiking is the same.
Given
Carla and George each went hiking.
The expressions [tex]4(h + 2) - 2h[/tex] and 3(2 + h) represent the respective distances Carla and George hiked each day.
Therefore,
On what day number h will their distance hiking be the same?
[tex]\rm 4(h+2)-2h = 3(2+h)\\\\4h+8-2h=6+3h\\\\2h+8=6+3h\\\\3h-2h=8-6\\\\h = 2[/tex]
Substitute the value of h in the equation first;
[tex]= 4(h+2)-2h\\\\= 4(2+2)-2\times 2\\\\=4(4)-4\\\\=16-4\\\\=12[/tex]
Substitute the value of h in the equation second
[tex]\rm =3(2+h)\\\\= 3(2+2)\\\\= 3\times 4\\\\= 12[/tex]
Hence, on the 2nd day, their distance hiking is the same.
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Someone pls help me! Will mark brainlist :(
Answer:
Ava can run 2 laps in 1 minute, while the other people can run less then one lap a minute. Ava is the fastest. I calculated laps per minute.
Step-by-step explanation:
Hattie=1.6 laps in one minute
Ava = 2 laps in one minute
Carly = 0.6 laps in one minute
Parky = 1.25 laps in one minute
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASE
Answer:
use formula
area = 1/2 *Height *(side 1 + side 2)
Answer:
use the equation of area of parallelogram = height ×base
