A (litres)
160
140
120
100
The amount of oil A left in a leaky barrel after
t minutes is shown on the graph alongside.
a Find the gradient and A-intercept of the line.
Interpret your answers.
6 Find the model connecting A and t.
c. How much oil will be left after 15 minutes?
d For what values of t is it reasonable to apply
this model?
80
60
40
20
0
12
6
(minutes)
Answers
Answer:
Step-by-step explanation:
Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.
a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{(160-120)}{(0-8)}[/tex]
= -5
A-intercept = 160
b). Linear equation to represent the given relation in the graph will be,
A = (-5)t + 160
c). At t = 15 minutes,
A = (-5)(15) + 160
A = -75 + 160
A = 85 liters
d). This model is applicable till the container gets fully emptied.
For A = 0,
0 = -5t + 160
t = [tex]\frac{160}{5}[/tex]
t = 32 minutes
Therefore, this model is reasonable up to t = 32 minutes.
Related Questions
What is the equation of a line that passes through (1,2) and has a slope of 7?
Write your answer in the slope -intercept format, y=mx+b.
Pls help
Answers
Solve for x. 5 = 1/5x -3
Answers
Answer:
40.
Step-by-step explanation:
5=1/5x-3
8=1/5x
40
Brainliest PLS
I dont think this is right PLEASE HELP ASAP!!!! thank you so so so much!!! *will give brainliest*
Answers
Answer:
i got -2.093 repeating
Step-by-step explanation:
multiply -2 and 3.14 then divide by - 3 sorry if not right
100 pts for a few questions Ill give brainliest! (if you answer 5 ?s you get the other 50)
Answers
Answer: ik nothing of basketball sorry
Answer:
11
Step-by-step explanation:
its the most common number
The ration of child to teen to adult tickets sold at a water park on Saturday was 4:1:2. A total of 294 tickets were sold. How many child tickets were sold?
Answers
Answer: 168 child tickets were sold.
Step-by-step explanation:
Given: The ratio of child to teen to adult tickets sold at a water park on Saturday was 4:1:2.
Let the number of child tickets = 4x , teen tickets = x , adult tickets = 2x
Total tickets = x+4x+2x = 7x =294
[tex]\Rightarrow\ x=\dfrac{294}{7}\\\\\Rightarrow\ x=42[/tex]
Number of child tickets = 4(42) = 168
Hence, 168 child tickets were sold.
Calculate the length of the diagonal, d, of this cylinder
Answers
the answer is 10ft hope this helps!
What is 7.4 + ? = 1.
Answers
Which costs the last per ounce, a 20 ounce soda for $0.60, 68 ounce for $2.38, or 100 ounce for $3.32? Explain how you got your answer.
Answers
9514 1404 393
Answer:
20 oz for $0.60
Step-by-step explanation:
You can determine the least-cost item by comparing costs at the same size. (This can be done using mental arithmetic.)
68 ounces is between 3 and 4 times the size of 20 ounces. If the costs were the same, 68 ounces would cost between 3·$60 = $1.80 and 4·$60 = $2.40. The cost of 68 ounces is closer to $2.40 than 68 is to 80, so we conclude the 20-ounce soda costs less.
The cost of 100 ounces at the 20-ounce price would be 5·$0.60 = $3.00, which is less than the cost of the 100-ounce soda. Again, the 20-ounce soda is cheaper.
The least cost per ounce is the 20-ounce soda.
__
If you like, you can actually find the cost per ounce by dividing the cost by the ounces. Those results are shown in the attached table. The 20-ounce soda costs the least.
Find the slope of the line graphed below.
-
Answers
Step-by-step explanation:
1st point=(-2,2)x1=-2,y1=2
2nd point=(3,-2)x2=3,y2=-2
slope=y2-y1/x2-x1
According to the question,
slope=-2-2/3-(-2)=-4/5
5/7 + 2/3
Plz Answer
Answers
Answer:
29/21
Step-by-step explanation:
5/7 = 15/21
2/3 = 14/21
Answer:
1.38 or 1 and 1/7
Step-by-step explanation:
5/7 + 2/3
10/21 + 14/21= 24/21
then your have to divide 24 by 21 = 1 and 3/21
then simplify 1 1/7
does this help?
8 * 6 + (12-4) / 2 equals to what
Answers
Answer:
52
Step-by-step explanation:
Simplify the expression (Steps shown below).
Help me please 9w+4= 2w+32
Answers
Answer:
w=4
Step-by-step explanation:
9w+4=2w+32
-2w -2w
7w+4=32
-4 -4
7w=28
w=4
Answer:
w = 4
Step-by-step explanation:
How to solve...
You have your equation 9w + 4 = 2w + 32, now you take 4 and subtract on both sides, so you will subtract it to 4 and 32. You get 28 as your answer. Now leave that alone, next you will take 2w and subtract it on both sides, when you subtract 2w to 9w you will get 7w. Now just do 28 divided by 7, which is 4. So w = 4. Hope this helps!
9w + 4 = 2w + 32
- 4 = - 4
--------------------------
9w = 2w + 28
-2w = -2w + 28
---------------------------
7w = 28
7w = 7w
---------------------------
w = 4
The missing number in the arithmetic sequence 60, 51, ___, 33 is:
Answers
Answer:
42
Step-by-step explanation:
In this question, we have the find the rate of change in the sequence.
To find this, we need to find how much the sequence is changing by.
We know from 60 to 51 is -9, so we know that our sequence is changing by -9.
To find our unknown number, we would subtract 9 from 51.
51 - 9 = 42
Our missing number in the sequence is 42.
We can check our answer by subtracting 9 from 42. This gives us our next number, which is 33.
42 would be your answer.
Are the ratios 1:2 and 8:20 equivalent?
Answers
Answer:
Nah
Step-by-step explanation:
8:20=2:5
1:2 is not equal to 2:5
Write the ratio of the first measurement to the second measurement. Compare in millimeters Diameter of ball A: 33mm Diameter of ball B: 5.4 cm
Answers
Answer:
The ratio of first measurement to second measurement in millimeters is 11:18
Step-by-step explanation:
Given that:
Diameter of ball A = 33 mm
Diameter of ball B = 5.4 cm
1 cm = 10 mm
5.4 cm = 10*5.4 mm
5.4 cm = 54 mm
Ratio of diameter of ball A to diameter of ball B.
33 : 54
Simplifying the ratio
11 : 18
Hence,
The ratio of first measurement to second measurement in millimeters is 11:18
Plz help I’m in confusion!!!
Answers
324m is the surface area
Please help me please due today
Answers
Answer:
2
Step-by-step explanation:
Use the method [tex]\frac{rise}{run}[/tex].
Both points are 3 across (run), and 6 up (rise).
Plug it in and divide the numbers.
6/3 = 2
Hence, m equals 2.
i^2=√-1 true or false
Answers
Answer:
im pretty sure its true :)
Step-by-step explanation:
Have a good day sorry if its wrong
Answer: True
Step-by-step explanation: i^2=-1
-1 = \sqrt{-1}
What are all the variables of x y and z ?
Answers
Answer:
x°=96°
y°=88°
z°=151°
Step-by-step explanation:
55°+29°+×°=180°
×°=96°
96°+55°=z°
z°=151
then let variable A° be one of the inner angle of the triangle
A°+z°=180°
A°+151°=180°
A°=29°
finally adding all the inner angles will give us 180°
96°+y°-13°+29=180°
y°=88°
Simply each expression
1) 2x+5-3x
2) -(w-2)
Answers
Answer:
1) -x+5
2)-w+2
Step-by-step explanation:
2x+5-3x Combine.
-x+5
-(w-2)
-w+2
can someone help me on this please :)
Answers
9514 1404 393
Answer:
x = 6y = 18Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
[tex]\left(\dfrac{a^3b^4}{a^2b}\right)^6= (a^{3-2}b^{4-1})^6 =a^{1\cdot6}b^{3\cdot6}=\boxed{a^6b^{18}}[/tex]
Comparing to the given form, we see x=6, y=18.
Tina has $24.00 in coins and is putting them into piles of $0.03. How many piles will she have?
Answers
Answer:
800 I think I think I think or I know
Write the exponent for the expression.2.78
The exponent for the expression is ___
Answers
Answer:
The exponent for the expression is -8
Step-by-step explanation:
I need help- I’ll give brainlist if it’s right
Answers
Answer:
D. x>[4]
Plzzzzz give me Brainliest!!!!!
Answer:
D. x > 4
Step-by-step explanation:
You have to do the opposite operations to get the variable on one side of the equation by itself.
4 - x + 4 = 8 - 4
x = 4
You only switch the comparison sign if you mutliply or divide by negative numbers when you do opposite operations to get the variable on one side of the equation by itself.
I hope this helps!
Solve for z. 12=15(z-1/5)
Answers
Distribute
12=15z+3
Subtract the 3
9=15z
Divide by 15
0.6=z
Answer:
1
Step-by-step explanation:
First, Distribute
Then, add 3 to both sides
Then, Divide 15 from both sides
1=Z
* Find the length of BD.
A
Answers
9514 1404 393
Answer:
BD = 17
Step-by-step explanation:
The Pythagorean theorem can be used twice:
BC^2 + AC^2 = AB^2
BC = √(AB^2 -AC^2) = √(25^2 -24^2) = √49 = 7
__
Likewise, ...
DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10
Then ...
BD = BC +DC = 7 + 10
BD = 17
what does it mean by a variables
Answers
Answer:
variables
Step-by-step explanation:
variables are constantly variating to contour to the problem it is being used in like in rentals, the variable is the amount of hours rented and the constant is the price it's being rented for
8cm
20cm
What is the volume of this cylinder?
Answers
Answer:
4021.2386 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
30 points! See pic attached. Will mark brainliest.
Answers
Answer:
Step-by-step explanation:
i think it a c e i hope this helps :^
answer: D,B,C
Step-by-step explanation:
line A is perpendicular to B and line A and B is parallel to line C
Samantha makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture? CLEAR CHECK Look at these different examples: 7 × 3 = 21, 5 × 9 = 45, 11 × 3 = 33. So the product of two odd numbers must be odd. Every time you multiply two odd numbers, the product is an odd number. Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number. Let a and b both represent odd numbers, and let a × b be an odd number. Therefore, a × b = b × a, which shows that the product of two odd numbers is odd.
Answers
Answer:
Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number.
Step-by-step explanation: