Answer:9
Step-by-step explanation:
12-9=3 12-3=9 3+9=12
So C=9
Hey there!
[tex]\large\boxed{c=9}[/tex]
12 - 9 + c = 12
Combine like terms.
3 + c = 12
Subtract 3 from each side of the equation.
3 - 3 + c = 12 - 3
c = 9
Check:
12 - 9 + c = 12
12 - 9 + 9 = 12
3 + 9 = 12
12 = 12
Hope this helps!
Help please.Round to the nearest hundredths
Answer:
Step-by-step explanation:
diameter = 34 m
r = 34/2 = 17 m
V=(4/3)πr³
[tex]=\frac{4}{3}*3.14*17*17*17\\\\=\frac{61707.28}{3}\\\\=20569.093333\\\\\=20569.09cubic meters[/tex]
A can of orange juice has a circular base with an area of 156 square centimeters. The height of the can is 20 centimeters.
What is the volume of the can of orange juice in cubic centimeters?
A. 3120
B. 62,400
C. 176
D. 8000
Final answer:
To calculate the volume of the orange juice can, the formula V = πr²h is used. By finding the radius from the given area of the base and then using the height of the can, the volume is calculated as 3120 cm³, which corresponds to answer choice A.
Explanation:
The student has asked a question about calculating the volume of a cylindrical can of orange juice. Given the area of the circular base is 156 square centimeters and the height of the can is 20 centimeters, the volume can be found by using the formula V = πr²h, where V stands for volume, r is the radius of the base, and h is the height of the cylinder. First, we need to find the radius (r) of the base from the given area, and then substitute it into the volume formula along with the height (h).
To find the radius, we use the formula for the area of a circle, A = πr², where A = 156 cm². Solving for r, we have r = √(A/π). Plugging the area into this formula, the radius (r) is:
r = √(156/π) cm
Then we substitute the radius and height into the volume formula:
V = πr²h
V = π(√(156/π))^2 × 20 cm
V = 156 × 20 cm³
V = 3120 cm³
Therefore, the correct answer is A. 3120 cubic centimeters.
Please Help
Elian won a sweepstakes and will receive money every week for 52 weeks. The first week, he will receive $500. Every week after that, he will receive $50 more than he received the previous week.
The amounts of money Elian receives each week form an arithmetic sequence. What is the explicit formula for the sequence?
The answer needs to be in simplified form.
Here is the explicit formula for the arithmetic sequence: an = 500 + 50(n - 1)
What does the explicit formula mean?where:
an is the amount of money Elian receives in week n
500 is the first payment
50 is the common difference
n is the week number (1-indexed)
For example, in week 2, Elian will receive $550 because 500+50(2−1)=550.
The formula is in simplified form because the common difference is a simple integer
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After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6,3), B'(-2, 1)
and C'(1,7). What are the coordinates of the vertices of the pre-image?
С.
Answer:
A(3, -6)B(1, 2)C(7, -1)Step-by-step explanation:
Rotation by -90° about the origin is the transformation ...
(x, y) ⇒ (y, -x)
So, your pre-image points are ...
A'(6, 3) ⇒ A(3, -6)
B'(-2, 1) ⇒ B(1, 2)
C'(1, 7) ⇒ C(7, -1)
What’s the volume of the prism? 2 ft, 8 ft, and 12 ft
Answer:
192 ft
Step-by-step explanation:
The volume of the prism with the given dimension of 2 feet, 8 feet, and 12 feet is 192 cubic feet.
What is the volume of a prism?The volume of a prism is the product of the base area and the height of the prism.
The given dimension of the prism is 2 feet, 8 feet, and 12 feet.
Therefore, the volume of the prism is
= (2 × 8 × 12) cubic feet
= 192 cubic feet.
Therefore, the volume is 192 cubic feet.
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rip van winkle sell asleep for a very long time when he fell asleep, his beard was 8 millimeters long and each passing week and grew 2 additional millimeters
graph the relationship between the length of rip van winkle‘s beard (in millimeters) and time (in seconds)
please answer asap
Answer:
Time in weeks you mean not seconds.
His beard should be graphed at point xy 1, 8 and continue at a gradient rate 8 rise / 1 rise showing m = 8/1 . to show one week to be able to meet up with .
Step-by-step explanation:
There are 604800 seconds in a week so first multiply by 5.5 weeks to find the first green dot. 604800 x 5.5 = 3326400 so we know the .5 option shows a rounded next week number.
We can either work downwards to zero or start at 1,8 ever way they will be even balance as 8/32 = 4 8/36 = 4.4 growth and this for example would show a rounded amount, so that 8/8 would be 8 and show the first week, or can be skipped out and start with y = 2x + 10 and then when referring to show .5 growth it would still be a whole number within the equation representing 12 and still be a whole number representing 2 weeks.
The graph does not speak of seconds but weeks, but if you want to use the above and try for 604800 seconds as shown for 1 week, you will have a tough time graphing. Stick to 2,4,6 8, 10, 12, 14, 16, 18 weeks multiplied by 12 = y = 1 + 8 = 0
y = 2x +8 +2 = 1
y = 3x + 8 +2 = 2
etc etc....
what is the theoretical probability of rolling a number less than 4?
Answer:
1/2 or 3/6
Step-by-step explanation:
on a die theirs 6 numbers, and the numbers 1,2,3 are less than 4. So out the the six numbers 3/6 are les than 4 and 1/2 and 3/6 are equivalent.
Solve 2y+1−x=7x for y
Answer:
Y=4X-1/2
Step-by-step explanation:
You must isolate the variable by dividing each side by factors that dont contain variables.
Answer:
y = 4x - 1/2
Step-by-step explanation:
2y + 1 − x = 7x
2y = 7x + x - 1
2y = 8x - 1
y = (8x - 1)/2
y = 4x - 1/2
In the diagram, the measure of angle 9 is 85°.
Which angle must also measure 85°?
Angle2
Angle5
Angle11
Angle12
Answer:
angle 5
Step-by-step explanation:
Write the equation in vertex form for the graph below.
Given:
The graph of the parabola with vertex (-2,-4)
We need to determine the equation of the parabola in vertex form.
Equation in vertex form:
The general form of the equation of the parabola in vertex form is given by
[tex]y=a(x-h)^2+k[/tex]
where a is the constant and (h,k) is the vertex.
Substituting the vertex (-2,-4) in the above formula, we get;
[tex]y=a(x+2)^2-4[/tex] -------- (1)
To determine the value of a, let us substitute the point that the parabola passes through.
Hence, substituting the point (0,8) in equation (1), we get;
[tex]8=a(0+2)^2-4[/tex]
[tex]8=a(2)^2-4[/tex]
[tex]8=4a-4[/tex]
[tex]12=4a[/tex]
[tex]3=a[/tex]
Thus, the value of a is 3.
Substituting the value a = 3 in equation (1), we get;
[tex]y=3(x+2)^2-4[/tex]
Thus, the equation of the parabola in vertex form is [tex]y=3(x+2)^2-4[/tex]
Answer:
Your answer is gonna be the letter B
Step-by-step explanation:
The graph shows the path of light from a wall reflecting off mirrored ceiling tiles, where x is the distance from the wall in feet and y is height in feet along the wall where the light source hangs.
Which statement describes the room based on the graph?
The ceiling is 10 feet high.
The ceiling is 20 feet high.
The light source is 10 feet off the ground.
The light source is 20 feet off the ground.
Answer: The ceiling is 10 feet high.
Step-by-step explanation: the light source is 7 feet, and the ceiling is 10.
A is the correct answer.
Factor the quadratic expression completely.
2x^2+7x+3
Evaluate the expression and put your answer in fraction form
Answer options:
9/7
13/25
59/4
140/3
Answer:
140/3
Step-by-step explanation:
(28/3)*5
140/3
3) Fran designed a flag that measured 9 inches in length and 5 inches in width. Find the
area of the flag.
4) Ellen renovates the foyer of an old farmhouse. The foyer is 15 feet long and 8 feet
wide. Calculate the area of the foyer.
Answer:
3) 9x5=45
4) 15x8=120
Step-by-step explanation:
Answer:
Step-by-step explanation:
3) the area for formula is length * width
so your equation is going to be 9×5because it says your length is 9 and the width is 5 your final answer is 404)
area is length × widthequation 15×8it says the length is 15 and the width is 8your final answer is 120hope this helps :D
Please help I’m vvv confused
Equation is y=kx. We have four chance to figure out k; hopefully they all give the same result
x=9, y=63, y=kx becomes 63=k(9) so k=63/9=7
x=4, y=28, 28=k(4), k=7
The constant of proportionality is 7; we check 2×7=14, 11×7=77
Answer: k=7, y=7x
Answer:
y=kx
y=k(7)x
y=7x(11)
y=7*11
y=77
Step-by-step explanation:
So with useing the equation that I used the porportional relationship is 7 so just fill 7 in for k. Then take the x number and fill it in for x. you will then multiply and get the y value.
While clearing out some old inventory a store offered 30 percent off of any item(i).
Which expression can be used to calculate the new cost of an item?
A. ix 0.3
B.1-1.3
C. i- 0.3i
D. i-0.3
I believe your answer is
C. i- 0.3i
Round to the underlined place
Answer:
12
Step-by-step explanation:
11.9781
After tenth digit it is 7>=5. So 1 should be added to 11.9
11.9 + 1 = 12.0 = 12
What is the radius of a great circle with an area of 40 in??
Round to the nearest tenth.
Answer:
3.6
Step-by-step explanation:
WILL MARK U AS BRAINLIEST HELP PLEASE
Answer:
Cholula
Step-by-step explanation:
first find the vlumes of the different pyramids:
FORMULA:
volume = (1/3) * basearea
Cholula- 157,583,664
Cheops- 91,204,000
Answer:
The Cholula Pyramid has a greater volume.
Step-by-step explanation:
volume = (1/3) * area of base * height
In both cases, the base is a square, so the area of the base is (side)^2
volume = (1/3) * (side)^2 * height
Cholula Pyramid:
volume = (1/3) * (side)^2 * height
volume = (1/3) * (1476 ft)^2 * 217 ft
volume = 157,583,664 ft^3
Cheops Pyramid:
volume = (1/3) * (side)^2 * height
volume = (1/3) * (755 ft)^2 * 480 ft
volume = 91,204,000 ft^3
The Cholula Pyramid has a greater volume.
After being marked up 40%, the sale price of a tennis racket is $87.50 What was the original price of the tennis racket?
Answer:
$62.50
Step-by-step explanation:
The original price is x
It is marked up 40 percent
x+.40x = new price
1.40x = new price
The new price is 87.50
1.40x = 87.50
Divide each side by 1.40
1.40x/1.40 = 87.50/1.40
x =62.50
The price before mark up is 62.50
Answer:
$62.50
Step-by-step explanation:
After mark up, price is
100 + 40 = 140% of cost
140/100 × Cost = 87.50
Cost = 87.50 × 100/140
Cost = $62.50
21 years ago, I was half the age I am now. How old am I?
You're 42. 42-21=21 and 21x2=42.
The current age of your is 42 years old.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.
In other words, an equation is a set of variables that are constrained through a situation or case.
To form an equation we must know the constraint of that condition,
For example x < 5 is a constraint.
Another example of a constraint is;
7x + 3y = 8 like that
Let say
Your age is = x
21 year ago your age were = x - 21
Now it was half the age x so,
x - 21 = (1/2)x
2x - 42 = x
x = 42
So your current age will be 42 years old.
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A 5-meter piece of cord costs $6.25. What is the unit price?
Answer:
$ 1.25/m
Step-by-step explanation:
5 m ............. $ 6.25
1 m .............. $ x
x = 1×6.25/5 = 6.25 : 5 = $ 1.25/m
Emmett bought 10 packages of cat food and 3 packages of dog food. Each package of cat food contained 10 cans, and each package of dog food contained 2 cans. How many more cans of cat food than dog food did Emmett buy?
Answer: Emmet bought 94 more cans of cat food than dog food.
Step-by-step explanation:
Answer:
Step-by-step explanation:
10 × 10 = 100 Cans of cat food
3 x 2 = 6 Cans of Dog food
Total cat food - Total dog food
100 - 6
94 Cans of cat food
The Lane school sold 1,152 granola bars to raise money for digital cameras. They sold 528 berry bars. The rest were raisin bars. The granola bars came in boxes of 24 bars. How many boxes of each kind of granola bars did they sell? # of boxes of berry bars? # of boxes of raisin bars?
Answer:
berry bars= 22
raisin bars=26
Step-by-step explanation:
berry bars= 528/24
raisin bars= 1152-528/24
Answer:
22 boxes of berry bars and 26 boxes of raisin bars
Step-by-step explanation:
528 divided by 24 equals 22 boxes of berry bars
1152-528=624 so 624 divided by 24 equals 26 boxes of raisin bars
Which numbers below are odd? Check all that apply.
A. 256
B. 349
C. 313
D.726
E. 746
OF 81
Answer: B and C
Step-by-step explanation:they are odd
349,313,81 are odd numbers.
Explanation:
those numbers which are not divisible by 2 are called odd numbers.
Hope it will help u...
On the coordinate plan, what is the distance between the points (−3, 4) and (−3, −5)?
A) 6
B) 7
C) 8
D) 9
PLZ DOOOOO NOT GUESSSSSS
Answer:
D). 9
Step-by-step explanation:
Step 1: Graph the points
Step 2: count the distance between point 1 (-3,4) and point 2 (-3,-5)
Step 3: Locate the answer on your multiply choices
Step 1: graph ( the graphed points are located in the picture below)
Step 2: count the distance (Demonstration on how to do this is on the second image below)
Step 3: Locate your answer (9)
HELPP!!!!
Estimate a 15% tip on a dinner bill of $38.43 by first rounding the bill amount to the nearest ten dollars.
Answer:
I think the answer is 34
Answer:
its $6
Step-by-step explanation:
the nearest tenth it 40, and the you ask google what 15% of 40 is.
What is the value of log27 9
Algebra help PLEASEEE
Answer: X = -4, X = 2
Step-by-step explanation:
On the graph, the line touches the x axis on -4 and 2, therefore, those are the answers.
The Kendall family was preparing to go hiking with the Smith family. In preparation,
the Kendall's bought 8 Cliff Bars and 4 appleslfor $12.40. The Smith family spent
$24.30 on 15 Cliff Bars and 9 apples. What is the difference in price between a cliff
bar and an apple?
Answer:$9.3 is the bars and the rest is the apples
Step-by-step explanation:because you take away from the bars than what is left is the apples.
The difference in price between a cliff bar and an apple is $0.50.
To determine the difference in price between a cliff bar and an apple, we must create two equations based on the information provided:
8C + 4A = 12.40 (equation 1 for the Kendall family)
15C + 9A = 24.30 (equation 2 for the Smith family)
We can solve these equations using substitution or elimination. Let's use the elimination method:
Multiply equation 1 by 2 to get 16C + 8A = 24.80 (equation 3).
Subtract equation 3 from equation 2: (15C + 9A) - (16C + 8A) = 24.30 - 24.80 which gives us -C + A = -0.50.
From this simplified equation, we gather that the price difference between a cliff bar and an apple is $0.50.
Therefore, the difference in price between a cliff bar and an apple is $0.50.