The paint in the pot is an illustration of a linear equation and the weight of the full pot is 11.2 kg
How to determine the weight of the full pot?The given parameters can be represented using the following ordered pairs:
(x,y) = {(0.5, 5.8) and (0.25, 3.1)}
The slope of the equation is calculated using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (3.1 - 5.8)/(0.25 - 0.5)
Evaluate
m = 10.8
The equation is then calculated using:
y = m(x - x1) + y1
This gives
y = 10.8(x - 0.5) + 5.8
Expand
y = 10.8x + 0.4
When the pot is full, we have x = 1
So, the equation becomes:
y = 10.8 * 1 + 0.4
Evaluate
y = 11.2
Hence, the weight of the full pot is 11.2 kg
Read more about linear equations at:
https://brainly.com/question/14323743
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Step-by-step explanation:
i) 0.0031 (or) 3.1×10^(-3)
ii) 0.0013 (or) 1.3×10^(-3)
I hope It helped you
The diameter of a circle is 222 units.
What is the radius of the circle?
units
Answer:
111
Step-by-step explanation:
divide by 2 to find the radius
3. 64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row, how many chairs could have been in each row? Explain your thinking
If the number of the seats are vacant is 8. Then the number of chairs in a row will be 8.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row. Then the number of the chair in a row will be
Let the number of the row be x. Then we have
[tex]\rm \dfrac{64}{x} = 8\\\\\\x \ \ = 8[/tex]
Then the number of the row is 8.
More about the division link is given below.
https://brainly.com/question/369266
#SPJ1
The value of x in this system of equations is 1.
3x + y = 9
y = -4x + 10
Substitute the value of y in the first equation:
Combine like terms:
Apply the subtraction property of equality:
Apply the division property of equality:
3x + (-4x + 10) = 9
-X + 10 = 9
X
What is the value of y?
Answer:
y = 6
Step-by-step explanation:
y = -4(1) + 10 = -4 + 10 = 6
I need help
In y = 2^x + 1, what is the exponent?
Step-by-step explanation:
The natural log has a base of 'e'. That is the definition of the natural log. Therefore, using logarithm rules, 'e' to the power of the right side equals 'y':
[tex] {e}^{ {2}^{x} + 1 } = y[/tex]
Answer:
xStep-by-step explanation:
In this problem, x is the exponent as the term '2' is multiplied by itself x times. If you look a bit further, you will see there is also an invisible power on 1, but 1 raised to any exponent will be 1 itself so it isn't considered.
On your vacation, you and your family go to a concert. The tickets cost $6 for adults and $2 for
children under 12. If 175 tickets were sold, totaling $750, how many adult tickets were sold?
How many children's tickets were sold?
PLEASE PLEASEE ANSWER THE QUESTION IN THE PICTURE BELOW
which form most quickly reveals the vertex?
And what is the vertex??
Answer: Choice C
Vertex = (5, -2)
===============================================
Explanation:
Vertex form is [tex]y = a(x-h)^2 + k[/tex] where the vertex itself is located at (h,k)
As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.
In the case of choice C, we have [tex]y= \frac{1}{2}(x-5)^2 - 2[/tex] which is the same as [tex]y = \frac{1}{2}(x-5)^2 + (-2)[/tex] and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)
What is (-4, 2) reflected over the x axis
Answer:
(-4,-2)
Step-by-step explanation:
This is because in order to reflect over the x-axis, the x-axis stays the same and the y-value is the exact opposite of the original y-axis.
(x, y) = (x, -y) in other words.
This is as simple as I can put it, hope this helps :)
Please tell me if you need more help.
Answer: (-4,-2)
Step-by-step explanation:
the rule for reflecting over the x axis is
(x,y) = (x,-y)
(-4,2) = (-4, -2)
hope this helps :)
Find the radius of a circle that has a circumference of
16 π
r=4
r= 8
r = 12
r = 16
Answer:
r=8
Step-by-step explanation:
Correct option is C)
Given, Circumference =16π
The circumference of a circle is given by 2πr.
Hence, 2πr=16πft
πr=8πft
r=8ft
Pls give me crown
5. One mile is 5,280 feet. Justin has a stride of 32 inches. How many steps will he take to run a 26-mile marathon? (1) 4,125 (2) 4,290 (3) 51,480 (4) 137,280 (5) 439,296
Answer:
(3) 51,480
Step-by-step explanation:
One mile is equal to 5,280 feet, so 26 miles is equa
3) Kathryn invests $5,403 in a savings
account with a fixed annual interest rate of
9% compounded 4 times per year.
How
long will it take for the account balance to
reach $14,382.05?
Answer:
t = 11 years
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 9/100
r = 0.09 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(14,382.05/5,403.00) / ( 4 × [ln(1 + 0.09/4)] )
t = ln(14,382.05/5,403.00) / ( 4 × [ln(1 + 0.0225)] )
t = 11 years
Summary:
The time required to get a total amount of $14,382.05 with compoundeded interest on a principal of $5,403.00 at an interest rate of 9% per year and compounded 4 times per year is 11 years.
Find the area of a regular quadrilateral that has a perimeter of 88V2
meters
Help please,
Depends upon what's the quadrilateral is
Solving according to square
Perimeter=4a
4a=88a=88/4=22So
Area:-
22²=484units²
What is the equation of the line that passes through the point (4,−2) and has an undefined slope?
When a line has an undefined slope, it means that it is a vertical line. Vertical lines are written in the following form:
[tex]x=d[/tex], where d is the x-interceptThe x-intercept of a vertical line is the value of x when y=0Solving the QuestionFor any vertical line, the x-coordinate is constant. This means that for any point that falls on the line, the x-coordinate will always be the same.
If we're given that the line passes through the point (4,-2), this means that the x-coordinate for every piont this line passes through is 4.
In other words, the x-intercept of this line is 4.
[tex]x=4[/tex]
Answer[tex]x=4[/tex]
Two angles of a quadrilateral measure 60° and 160°. The other two angles are in a ratio of 3:11. What are the measures of those two angles?
Answer:
30 and 110 degrees
Step-by-step explanation:
The angles sum to 360 degrees
you have 60 + 160 = 220 leaving 140 more in a ratio 3:11
one is 3 / (3+11) = 3/14 3/14 * 140 = 30 the other is 110
Find the area of the shaded shape. Write the area in square unit
Answer:
432 square feet
Step-by-step explanation:
Hello there.
Do you see those half shaded squares on the top? Those count as half a square.
Do 6 times 3 to get 24. Multiply 24 with 16 to get 384.
There are 6 half shaded squares which equals to 3 full squares. Multiply 3 and 16 to get 48. Lastly, add 384 with 48 to get your answer.
Hope this helped, Angelo
GAIL IS TO BRING 72 COOKIES TO A PARTY.IF THE COOKIES ARE PACKAGE 12 TO A BAG, HOW MANY BAG WILL SHE NEED?
Answer:
6 bags
Step-by-step explanation:
72 divide by 12 equals 6.
A triangle has side lengths of 14 yards, 17 yards, and 13 yards. What kind of triangle is it?
An energy bar company manufactures peanut butter and chocolate bars.
Peanut butter bars cost 25¢ per lb.
The chocolate bars cost 30¢ per lb.
The company sold 260 lbs of bars for $71.
How many of the bars sold were peanut butter?
Answer:
sold 120 chocolate bars
sold 140 peanut butter bars
Step-by-step explanation:
x = peanut butter bars
y = chocolate bars
x + y = 260, total lbs
0.25x + 0.30y = 71, money
solve double variable equation
multiply -4 on both sides for 2nd equation
-x + -1.2y = -284
add both equations together
-0.2y = -24
y = 120
x = 260 - 120
x = 140
sold 120 chocolate bars
sold 140 peanut butter bars
Tell whether the angles are adjacent or vertical. Then find the value of $x$ .
Two lines intersect each other forming two pairs of opposite angles. The one pair of opposite angle is labeled left parenthesis x plus 3 right parenthesis degrees and 84 degrees.
Answer:
they are adjacent angles
Step-by-step explanation:
for adjacent angles
[tex]{(x + 3)}^{o} = {84}^{0} \\ x = 84 - 3 \\ x = 81[/tex]
Your dad invested $30 for you in 1946 in a fund and you have not withdrawn any money since. If the fund has averaged a return of 7% over the last 70 years, what is the current value of that investment?
Answer:
50,000 years 90 months 17 days and 82 mins ok ok cool.
Step-by-step explanation:
ExplanatiOn
PLS HELP ME I HAVE NO IDEA WHAT THESE ARE. If you can find all the answers and give me the words you would be a life saver
Answer:
SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO
Step-by-step explanation:
The brackets just mean to multiplye.g. 3(2)(5) is the same as 3 × 2 × 5When you get the answer, find in in the boxes below and write the letter of that equationI will not go through each question separately because it would take too long, but will give you the wordsA child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before
falling down to the ground.
1. Which of these graphs represent this situation? Explain how you know in 2-3 sentences
|A
B
C
2. What would be appropriate labels for your x-axis?
3. What would be appropriate labels for your y axis?
4. According to your graph, roughly when does the ball hit the ground?
Answer:
1. answer is B because it is the only graph that represents the time stuck in the tree at a certain time then the continuous fall of the ball after falling out of the tree. 2. X-axis would be time or seconds 3. Y-axis would be height in air 4. 14 seconds after it was rhrown
Answer:
its B
Step-by-step explanation:
Have you smiled today? its very important:)
All of the following are examples of attempts to offset carbon emissions EXCEPT...
A. Kyoto Protocol
B. Freedom in Industry
C. Nuclear energy
D. Sun, Wind, and Tidal energy
Answer:
B. Freedom in Industry
Step-by-step explanation:
The Kyoto Protocol is a commitment between countries to limit the amount of greenhouse gases produced. Nuclear, Sun, Wind, and Tidal energy are all renewable energy sources.
Sally bought 5.33 pounds of cheese at the deli. Dan bought 3.29 pounds of
cheese. How much more cheese did Sally buy than Dan? Do not include units
in your answer.
Answer:
2.04
Step-by-step explanation:
[tex]5.33-3.29=2.04[/tex]
Answer:
2.04
Step-by-step explanation:
5.33-3.29=2.045.33−3.29=2.04
5x^2-10x=9x+4
Solve the quadratic equation by factoring
Answer:
x = 4 or - 1/5
Step-by-step explanation:
If you need help or want to see work you can go to Tiger algebra.
Hope it helped!
Suppose y varies directly with x. If y = 12 when x = 4, find x when y = 24.
Answer:
x would equal 8.
Step-by-step explanation:
Since when y = 12, x = 8, when y is 24, it is multiplied by 2. Multiple the x by 2 and it would be 8.
The area of a square is defined by, A(X) = x2 - 6x + 9. What is the length of a side of the square?
1- I-3
2- I +3
3- 2-9
3- x - 6
Answer:
Step-by-step explanation:
None of the answers look right to me unless you are given something I'm not aware of.
A(x) can be factored. When it is, the following is what is obtained.
A(x) = (x- 3)(x - 3)
Since the area of a square is
Area = s^2
where s is the length of the side, you can find the square root by using the rules of roots.
s^2 = (x - 3)(x - 3)
√s²= √(x - 3)²
√s² = s
√(x - 3)² = x - 3
Therefore the answer should be s = x-3
The only thing I think you can do is ask whoever is presenting the course how any of those answers are obtained.
Answer:
x-3
Step-by-step explanation:
thats what the guy above me's answer is to make it easier
During a period of inflation, the graph of the consumer price index (CPI) will
fall.
A. True
B. False
SUBMIT
Answer:
B. Fakse
explanation:
In
inflation
, the CPI will rise. In deflation, the CPI will fall
15. Roger, Luisa, Chin, and Wenona were playing a game. For each correct answer, a game plece could be moved ahead. The game pieces had been moved 2 dm, 15 cm, 75 mm, and 0.12 m. Roger's piece had moved 15 cm. Luisa's piece had moved farther than 75 mm. Chin's piece hadn't moved to 0.12 m. Wenona's piece had moved 2 dm. Order the students from first place to fourth place. To solve, convert all the measures to the same unit. HELP
Answer:
1. Wenonas piece: moved 20 cm
2. Rogers piece: 15cm
3. Luisas piece: <7.5cm
4. Chins piece: >12cm
this is the order, HOPE THIS HELPS!
Which is the value of x?
(2x)
(x+84)
(3x)
Answer:
2, 1, 3
Step-by-step explanation: